Answer:
75.5 pounds
Step-by-step explanation:
He needs 200
He already has 11.25
He needs:
200 - 11.25 = $188.75 more
1 pound of candy costs 2.50, so x pounds would cost 2.50x
This would need to equal 188.75 (the amount he needs to break even). We can write an equation in x and solve:
[tex]2.50x=188.75\\x=\frac{188.75}{2.50}\\x=75.5[/tex]
James needs 75.5 pounds more to break even
Final answer:
James needs to sell an additional 75.5 pounds of candy to break even, after taking into account the $11.25 he has already earned towards his $200 goal by dividing the remaining amount needed ($188.75) by the price per pound of candy ($2.50).
Explanation:
James is selling candy at a local marketplace and needs to earn at least $200 to break even. He has already earned $11.25. The price of one pound of candy is $2.50. To find out how many more pounds of candy, x, he has to sell to break even, we need to calculate the remaining amount he needs to earn and divide it by the price per pound of candy.
First, subtract the amount already earned from the total needed to break even:
$200 - $11.25 = $188.75
Then, divide this amount by the price per pound of candy to find out how many more pounds he needs to sell:
$188.75 / $2.50 = 75.5
Therefore, James needs to sell an additional 75.5 pounds of candy to break even.
Please help me with this!!!!!!!!!!!!!
Answer:
download photomath
Step-by-step explanation:
I swear it would help you because it always help me.. just look carefully
Answer: x = 1,
y = 5
z = 2
Step-by-step explanation:
Which graph represents an exponential function? On a coordinate plane, a line curves upwards gradually. On a coordinate plane, a curve decreases, changes directions, and then decreases again. On a coordinate plane, a line is level and then curves upwards rapidly. On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3.
The options are not clear but we can describe exponential function as follows
Exponential function are of the form
[tex]y = b^x \; where\; b >0 = Exponentially\; Growing\\b<0 \; Exponentially\; Decaying \\\\x = Exponent[/tex]
The exponential functions are curved upwards gradually (figure attached )
Figure 1 (graph attached ) Shows the graph of function
[tex]y = 2^x[/tex]
We can conclude that exponential function is a monotonous function and
depending upon the value of b the exponential function is either continuously increasing or continuously decreasing
[tex]y = -3^x[/tex]
as shown by Figure 2 (figure attached )
For more information please refer to the link below
https://brainly.com/question/11487261
Answer:
It's D
Hopefully this helps someone :D
How many ways are there to select 12 countries in the United Nations to serve on a council if 5 are selected from a block of 45, 4 are selected from a block of 57, and the others are selected from the remaining 69 countries? Briefly explain your answer.
Answer:
There are 436937109262510348800 ways to selected 12 countries.
Step-by-step explanation:
Let [tex]x_1, x_2, x_3, x_4,x_5[/tex] the countries selected from the block of 45. For [tex]x_1[/tex] there are 45 options of countries to select. For [tex]x_2[/tex] there are 44 options of countries to select because there can be no repeated countries. With the same reasoning, for [tex]x_3[/tex] there are 43 options, for [tex]x_4[/tex] there are 42 options and for [tex]x_5[/tex] there are 41 options.
Let [tex]x_6, x_7, x_8, x_9[/tex] the countries selected from the block of 57 countries. For [tex]x_6[/tex] there are 57 options of countries to select. For [tex]x_7[/tex] there are 56 options of countries to select because there can be no repeated countries. With the same reasoning, for [tex]x_8[/tex] there are 55 options and for [tex]x_9[/tex] there are 54 options.
Let [tex]x_{10}, x_{11}, x_{12}[/tex] the countries selected from the block of 69 remain countries. For [tex]x_{10}[/tex] there are 69 options of countries to select. For [tex]x_{11}[/tex] there are 68 options of countries to select because there can be no repeated countries and for [tex]x_{12}[/tex] there are 67 options.
For find the total of options o ways to select 12 countries we multiply the above options.
[tex]45*44*43*42*41*57*56*55*54*69*68*67= 436937109262510348800[/tex]
Final answer:
The number of ways to select 12 countries from the United Nations to serve on a council is determined by calculating the combinations for each block of countries and then multiplying these values together.
Explanation:
The student question deals with determining the number of ways to select 12 countries from the United Nations to serve on a council, given specific blocks of countries to choose from. To calculate this, we use the principles of combinations, as the order of selection does not matter. The number of ways to select 5 countries from the first block of 45 is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and '!' denotes factorial. Applying this to the first block:
C(45, 5) = 45! / (5! * (45-5)!) = 1,221,759 ways
Similarly, for the second block of 57 countries, from which 4 must be chosen:
C(57, 4) = 57! / (4! * (57-4)!) = 496,674 ways
For the remaining 3 countries from the last block of 69:
C(69, 3) = 69! / (3! * (69-3)!) = 54,834 ways
To find the total number of combinations, we multiply the number of ways for each block, as each selection is independent of the others:
Total ways = C(45, 5) * C(57, 4) * C(69, 3) = 1,221,759 * 496,674 * 54,834
After calculating this product, we obtain the total number of ways to select 12 countries from the United Nations for the council.
A bank Certificate of Deposit is a: a Cash deposit in a savings account that earns interest b Certificate for deposits that are issued for half the face value c Savings instrument that requires a deposit for a period of time during which there is a penalty for withdrawals d Savings instrument that requires a deposit for a period of time during which the saver can withdraw money from the plan at any time without a penalty
Answer:
C. Savings instrument that requires a desposit for a period of time during which there is a penalty for withdrawals.
Step-by-step explanation:
A Certificate of Deposit is a financial savings product offered by banks. A Certificate of Deposit, also known as a CD, can be obtained from a bank or a credit union.
CDs have a greater interest rate return than savings accounts due the conditions that savings from a CD cannot be withrawn for a fixed period of time. The higher the return the longer the period the savings cannot be withdrawn or the higher the intital investment.
CDs are insured by the Federal Deposit Insurance Corporation (FDIC) and if savings are not needed for a known period of time offer a better return than a savings account.
Answer:
C. Savings instrument that requires a desposit for a period of time during which there is a penalty for withdrawals.
PLZ HURRY IT'S URGENT!!
A coin is tossed 10 times. The results are recording below (H=heads, T=tails). What is the experimental probability of getting heads?
H T T H H H T H T H
2/5
1/2
3/10
3/5
Answer:
3/5
Step-by-step explanation:
Out of the 10 times flipped, you got heads 6 times
That is 6/10 or 3/5
Answer:3/5
Step-by-step explanation:took the test and got right
I need help with this question.
Answer:
[tex]cos^{-1} (\frac{8}{[tex]\sqrt{113}[/tex]} )[/tex]
Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now [tex]|a|=\sqrt{113}\text{ } and\text{ } |b|=\sqrt{49}[/tex]. and [tex]a.b=8\ times 7+7\times 0[/tex] =56.
Now cosα=[tex]\frac{8}{\sqrt{113} }[/tex] so α= cosine inverse of that.
∴α=
[tex]cos^{-1} (\frac{8}{[tex]\sqrt{113}[/tex]} )[/tex]
A coin is tossed 10 times. True or false, and explain: (a) The chance of getting 10 heads in a row is 1/1,024. (b) Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is 1/2.
Answer:
a and b both are true.
Step-by-step explanation:
Given : A coin is tossed 10 times.
To find : True or false, and explain ?
Solution :
(a) The chance of getting 10 heads in a row is [tex]\frac{1}{1024}[/tex]
Coin has two face head and tail.
The probability of getting head is [tex]P(H)=\frac{1}{2}[/tex]
The probability of getting 10 heads in a row is
[tex]P=(P(H))^{10}[/tex]
[tex]P=(\frac{1}{2})^{10}[/tex]
[tex]P=\frac{1}{1024}[/tex]
The chance of getting 10 heads in a row is [tex]\frac{1}{1024}[/tex] is true.
(b) Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is [tex]\frac{1}{2}[/tex].
The probability of getting 10 heads in a row is [tex]P_1=(\frac{1}{2})^{10}[/tex]
The probability of getting 9 tosses were heads is [tex]P_2=(\frac{1}{2})^{9}[/tex]
Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is given by,
[tex]P=\frac{P_1}{P_2}[/tex]
[tex]P=\frac{(\frac{1}{2})^{10}}{(\frac{1}{2})^{9}}[/tex]
[tex]P=(\frac{1}{2})^{10-9}[/tex]
[tex]P=\frac{1}{2}[/tex]
Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is [tex]\frac{1}{2}[/tex] is true.
(a) True: The chance of getting 10 heads in a row is [tex]\( \frac{1}{1024} \)[/tex].
(b) True: Given 9 heads, the chance of the 10th being heads remains [tex]\( \frac{1}{2} \).[/tex]
Step 1:
(a) The chance of getting 10 heads in a row:
The probability of getting heads on a single toss of a fair coin is [tex]\( \frac{1}{2} \).[/tex]
Since each toss is independent, the probability of getting 10 heads in a row is calculated by multiplying the individual probabilities:
[tex]\[ \left( \frac{1}{2} \right)^{10} = \frac{1}{1024} \][/tex]
Step 2:
(b) Given that the first 9 tosses were heads, the chance of getting 10 heads in a row:
Since each toss is independent, the probability of getting heads on the 10th toss is still [tex]\( \frac{1}{2} \).[/tex]
So, the chance of getting 10 heads in a row given the first 9 were heads remains [tex]\( \frac{1}{2} \).[/tex]
Therefore, the calculations support the statements:
(a) The chance of getting 10 heads in a row is indeed [tex]\( \frac{1}{1024} \)[/tex].
(b) Given the first 9 tosses were heads, the chance of getting 10 heads in a row is still [tex]\( \frac{1}{2} \).[/tex]
Organic Food Inc., a multinational company, relies on its media partner Radio Plus to regularly advertise its offers, sales, and new products. Radio Plus is invested in this relationship because it generates most of its revenue from advertising Organic Food's products. In this scenario, Radio Plus is Organic Food Inc.'s
Answer:
External stakeholder.
Step-by-step explanation:
Radio Plus is invested in this relationship because it generates most of its revenue from advertising Organic Food's products.
In this scenario, Radio Plus is Organic Food Inc.'s - external stakeholder.
External stakeholders are those individuals or companies that do not lie within a business itself, but these care about the business and are affected by the business's performance.
9/20
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0
nd
01
ations
02
O cannot be determined
are
00
e
100%
For this case we must find the solution of the following quadratic equation:
[tex]x ^ 2 + 5x + 7 = 0[/tex]
Where:
[tex]a = 1\\b = 5\\c = 7[/tex]
Then, the solution is given by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
Substituting the values:
[tex]x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}[/tex]
By definition we have:[tex]i ^ 2 = -1[/tex]
[tex]x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}[/tex]
Thus, we have two complex roots.
Answer:
The equation has no real roots.
Prove that y=x² at x=0 has both a local and global minimum using first derivative test. I can prove it with a graph looking at it visually but how would you prove it with written words.
[tex] \frac{d}{dx} {x}^{2} = 2x \\ x = 0 \\ 2 \times 0 = 0[/tex]
When the derivative equals zero, that point is either the maximum or minimum.
[tex] {x}^{2} \geqslant 0[/tex]
The smallest real value of x² is 0, which is at x = 0.
Hence, x² at x = 0 has both a local and global minimum.
Step-by-step explanation:
y = x²
Find the first derivative:
dy/dx = 2x
Find the critical values by setting dy/dx to 0:
0 = 2x
x = 0
Evaluating the first derivative before and after x=0, we see that dy/dx changes signs from negative to positive.
x < 0, dy/dx < 0
x > 0, dy/dx > 0
That means x=0 is a local minimum.
To find the global minimum, we need evaluate the function at x=0 and at the end points.
x = -∞, y = ∞
x = 0, y = 0
x = ∞, y = ∞
So x=0 is also the global minimum.
Can someone help me answer this?
Given the function f(x)= x^2+7x+10 / x^2+9x+20
Describe where the function has a hole and how you found your answer.
We need to simplify the function by factoring the numerator and the denominator. Plug the excluded values into the simplified function to find the hole.
Answer:
Step-by-step explanation:
Factor the given function:
(x + 2)(x + 5)
f(x) = --------------------
(x + 5)(x + 4)
The factor (x + 5) can be crossed out in numerator and denominator. There is a 'hole' at x = -5 (which comes from setting (x + 5) = 0 and solving for x).
If we do cancel the (x + 5) factors, we are left with
(x + 2)
f(x) = ------------- . We can't just substitute x = -5 because the original
(x + 4) function is not defined for that x value. However, we
can locate the hole by letting x have the value of a litle more than -5, obtaining:
( -5+ + 2)
f(-5+) = -------------, which comes out to approx. -3/-1, or +3 .
(-5+ + 4)
So the hole location is (-5, 3).
f(x) = --------------------
(x + 5)(x + 4)
A manufacturer wants to estimate the proportion of defective items that are produced by a certain machine. a random sample of 50 items is selected. which excel function would not be appropriate to construct confidence interval estimate?a. Countifb. Norm.s.invc. Stdevd. all of these answer are correct
Answer:
c. Stdev
Step-by-step explanation:
Excel stdev function is not appropriate to construct confidence interval estimate, because the estimation of the proportion of defective items that are produced by a certain machine has binomial distribution.
stdev fuction is used for calculating standard deviations where sample has more than two different values. (multinomial)
Norm.s.inv function calculates inverse of the standard normal cumulative distribution, and countif counts the number of cells that meet a criterion. Both functions are used to construct confidence interval estimate
Jack keeps his music cd stuck in plastic boxes 3/8 inch thick.Use the method taught in this lesson to find the number of boxes in a stack 6 inches tall
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!!!
Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents.
a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour
b. f(g(x)) = 4x, which represents the number of tickets Aurora sold per hour
c. f(g(x)) = 16x, which represents the money Aurora made in dollars per hour
d. f(g(x)) = 16x, which represents the number of tickets Aurora sold per hour
f(x) = 0.5x - money per ticket
g(x) = 8x - tickets per hour
We replace g(x) with its value (8x).
f(g(x)) = f(8x)
We replace the x in f(x) with 8x.
f(8x) = 0,5 × 8x
f(8x) = 4x
⇒ f(g(x)) = 4x
Correct answer:
a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour
Composing functions means to use the output of the inner function as the input for the outer function.
In this case, the inner function is g(x)=8x, which means that Aurora sells 8 tickets per hour.
So, if we give 8x (number of tickets sold) as input to the function f(x)=0.5x, we'll get
[tex]f(x)=0.5x \implies f(8x)=0.5(8x)=4x[/tex]
Since the function f tells us how much Aurora gains per ticket, f(g(x)) basically means:
Aurora gains 0.5 dollars per ticket, and she sells 8 ticket per hour, so she gains 4 dollars per hour.
A child throws a ball with a speed of 5 feet per second at an angle of 73 degrees with the horizontal. Express the vector described in terms of i and j.
Answer:
v = 5cos(73°)i +5sin(73°)j
Step-by-step explanation:
The components of the velocity vector are ...
horizontal (i direction): 5·cos(73°)
vertical (j direction): 5·sin(73°)
Then the velocity vector is the sum of these component vectors:
v = 5cos(73°)i +5sin(73°)j
Choose the best answer :
what percent of your pre-retirement earnings do most financial advisors say you’ll need to comfortably maintain your pre-retirement standard of living
• 60%
• 70%
• 80%
• 90%
Answer:
• 80%
Step-by-step explanation:
Consult your course reference materials.
Advice found on the Internet varies from 70% to 90%, depending on a number of factors. 70% has been a guide historically, but more recent advice favors higher numbers, it seems.
The size of each interior angle of a regular polygon with n n sides is 140° Work out the size of each interior angle of a regular polygon with 2n sides.
Answer:
160°
Step-by-step explanation:
The corresponding exterior angle is 180°-140° = 40°. When the polygon has 2n sides, that angle will be cut in half to 20°. The interior angle of that polygon will be 180°-20° = 160°.
_____
The exterior angles always sum to 360°. Since their sum is a constant, doubling the number of them will cut their measure in half.
To find the size of each interior angle in a regular polygon with 2n sides, when n sides gives 140° each, we use the interior angle formula (n-2) * 180 / n. First, we find n using 140 = (n-2) * 180 / n and substitute n into ((2*n) - 2) * 180 / (2*n) for the result.
Explanation:The size of each interior angle in a regular polygon is calculated using the formula (n-2) * 180 / n, where n is the number of sides. Given that a polygon with n sides has an interior angle of 140°, we can use this formula to calculate the size of each interior angle in a regular polygon with 2*n sides. The calculation would be: ((2*n) - 2) * 180 / (2*n).
Therefore, to calculate the size of each interior angle in a regular polygon with 2*n sides - if n sides gives 140° each, we must first calculate n using 140 = (n-2) * 180 / n and then substitute n in ((2*n) - 2) * 180 / (2*n) to get the result.
Learn more about Interior Angles of Regular Polygons here:
https://brainly.com/question/37754338
#SPJ3
Use logs to determine the number of years until the population drops to 15,390 organisms. Round answer to 2 decimal places.
Answer:
4.47 years
Step-by-step explanation:
Fill in the numbers and solve for t.
P = a·b^t
15390 = 19000·0.954^t
15390/19000 = 0.954^t . . . . . divide by 19000
0.81 = 0.954^t . . . . . . . . . . . . . simplify
log(0.81) = t·log(0.954) . . . . . . take the log
t = log(0.81)/log(0.954) . . . . . . divide by the coefficient of t
t ≈ 4.47
It will take about 4.47 years for the population to drop to 15390 organisms.
_____
A graphing calculator can be another way to solve a problem like this.
There were 128 threatened species of animals and 144 threatened species of plants in the United States in 2001. Write the ratio of threatened species of animals to threatened species of plants as a fraction in simplest form.
If you go by division is is eight to nine.
Final answer:
The ratio of threatened species of animals to threatened species of plants in the United States in 2001, expressed in simplest form, is 8:9 or 8/9 after dividing both numbers by their greatest common divisor, which is 16.
Explanation:
The question asks for the ratio of threatened species of animals to threatened species of plants in the United States in 2001, expressed as a fraction in simplest form. To find the ratio, we divide the number of threatened animal species by the number of threatened plant species. The given numbers are 128 threatened animal species and 144 threatened plant species.
To simplify the ratio 128:144, we divide both numbers by their greatest common divisor (GCD). The GCD of 128 and 144 is 16. Thus, dividing both sides of the ratio by 16, we obtain:
128 ÷ 16 = 8
144 ÷ 16 = 9
The simplified form of the ratio is 8:9, or written as a fraction 8/9.
American General offers a 7-year ordinary annuity with a guaranteed rate of 6.35% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $10,000 annually over the 7-year period?
Answer:
$ 55135.978
Step-by-step explanation:
At most, the present value of annuity must be paid. So we must find the present value of the annuity
Given in the problem, we have:
Periodic Payment = PMT = $10000
Rate of interest annually = i = 6.35 %= [tex]\frac{6.35}{100}[/tex]=0.0635
no. of periods= n=7
So to solve this, we need to use the present value formula:
Present Value = Periodic payment [tex]\frac{1-(1+rate.of.interest)^{-n} }{rate.of.interest}[/tex]
Present Value = PMT [tex]\frac{1-(1+i)^{-n} }{i}[/tex]
Present value = 10000[tex]\frac{1-(1+0.0635)^{-7} }{0.0635}[/tex]
Present Value =10000[tex]\frac{0.35011}{0.0635}[/tex]
Present Value =10000 (5.5135978)
Present value= $ 55135.978
Which is the amount that must be paid at most to get annuities such that $10,000 annually over the 7-year period are to be received.
You should pay approximately $55,598 for a 7-year ordinary annuity with a guaranteed 6.35% annual interest rate to receive annual payments of $10,000.
To find out how much you should pay for a 7-year ordinary annuity with a guaranteed rate of 6.35% compounded annually to receive payments of $10,000 annually, we can use the present value of an annuity formula:
PV = PMT × [(1 - (1 + r)⁻ⁿ) / r]
PMT is the annual payment = $10,000r is the annual interest rate = 6.35% or 0.0635n is the number of periods = 7 yearsSubstituting the values into the formula:
PV = $10,000 × [(1 - (1 + 0.0635)⁻⁷) / 0.0635]
PV = $10,000 × [(1 - (1 / (1.0635)⁷)) / 0.0635]
PV = $10,000 × [(1 - (1 / 1.545677)) / 0.0635]
PV = $10,000 × [0.353032 / 0.0635]
PV = $10,000 × 5.5598
PV ≈ $55,598
Therefore, you should pay approximately $55,598 for this annuity to receive payments of $10,000 annually over 7 years.
A chi-square test for independence is used to evaluate the relationship between two variables. If both variables are classified into two categories, then what is the df value for the chi-square statistic?
The degrees of freedom (df) value for a chi-square test for independence is calculated using the formula: df = (number of columns - 1) x (number of rows - 1).
Explanation:The degrees of freedom (df) value for a chi-square test for independence when both variables are classified into two categories can be calculated using the formula:
df = (number of columns - 1) x (number of rows - 1)
For example, if we have a contingency table with 2 columns and 2 rows, the df value would be:
df = (2 - 1) x (2 - 1) = 1 x 1 = 1
Find the critical values: a. Determine the critical value z????/2 that corresponds to a level of confidence of 87%. (2 pts). b. Find the critical t-value t????/2 that corresponds to 92% confidence and n = 15. (2 pts). c. Determine the critical value for a left-tailed test of a population mean at the α = 0.025 level of significance based on a sample size of n = 18. (2 pts) d. Find the critical value for a two-tailed test of a population proportion with α = 0.08. (2 pts)
Answer:
a) [tex]z_{\alpha/2}=-1.51[/tex] and [tex]z_{\alpha/2}=1.51[/tex]
b) [tex]t_{\alpha/2}=-1.89[/tex] and [tex]t_{\alpha/2}=1.89[/tex]
c) [tex]t_{\alpha/2}=-2.11[/tex]
d) [tex]z_{\alpha/2}=-1.75[/tex] and [tex]z_{\alpha/2}=1.75[/tex]
Step-by-step explanation:
Part a
On this case the confidence is 87% or 0.87 so the significance level is [tex]\alpha=1-0.87=0.13[/tex] and [tex]\alpha/2 =0.065[/tex]. On this case we can assume that is a bilateral test or a confidence interval so we will have two critical values.
We need values a,b on the normal standard distribution such that:
[tex]P(Z<a)=0.065[/tex] or [tex]P(Z>b)=0.065[/tex] and in order to find it we can use the following code in excel:
"NORM.INV(0.065,0,1)" or "NORM.INV(1-0.065,0,1)", and we see that the critical values [tex]z_{\alpha/2}=-1.51[/tex] and [tex]z_{\alpha/2}=1.51[/tex]
Part b
On this case the confidence is 92% or 0.92 so the significance level is [tex]\alpha=1-0.92=0.08[/tex] and [tex]\alpha/2 =0.04[/tex]. On this case we can assume that is a bilateral test or a confidence interval so we will have two critical values.
First we need to calculate the degrees of freedom given by:
[tex]df=n-1=15-1=14[/tex]
We need values b,c on the t distribution with 14 degrees of freddom such that:
[tex]P(t_{(14)}<b)=0.04[/tex] or [tex]P(t_{(14)}>c)=0.04[/tex] and in order to find it we can use the following code in excel:
"T.INV(0.04,14)" or "T.INV(1-0.04,14)", and we see that the critical values [tex]t_{\alpha/2}=-1.89[/tex] and [tex]t_{\alpha/2}=1.89[/tex]
Part c
The significance level is [tex]\alpha=0.025[/tex] and is a left tailed test. On this case we know that is a left tailed test so then we have just one critical value.
First we need to calculate the degrees of freedom given by:
[tex]df=n-1=18-1=17[/tex]
We need a value c on the t distribution with 17 degrees of freddom such that:
[tex]P(t_{(17)}<c)=0.025[/tex], and in order to find it we can use the following code in excel:
"T.INV(0.025,17)", and we see that the critical values [tex]t_{\alpha/2}=-2.11[/tex]
Part d
The significance level is [tex]\alpha=0.08[/tex] and [tex]\alpha/2 =0.04[/tex]. On this case we know that w ehave a two tailed proportion test, so we will have two critical values.
We need values a,b on the normal standard distribution such that:
[tex]P(Z<a)=0.04[/tex] or [tex]P(Z>b)=0.04[/tex] and in order to find it we can use the following code in excel:
"NORM.INV(0.04,0,1)" or "NORM.INV(1-0.04,0,1)", and we see that the critical values [tex]z_{\alpha/2}=-1.75[/tex] and [tex]z_{\alpha/2}=1.75[/tex]
a. The critical value z????/2 for a level of confidence of 87% is approximately 1.475. b. The critical t-value t????/2 for a 92% confidence level and n = 15 is approximately 1.761. c. The critical value for a left-tailed test at α = 0.025 and n = 18 is approximately -2.101. d. The critical value for a two-tailed test of a population proportion with α = 0.08 is approximately 1.755.
Explanation:a. To find the critical value z????/2 for a level of confidence of 87%, we need to find the z-score that leaves an area of 0.87 in the center. This means the area in each tail is (1 - 0.87) / 2 = 0.065. Using a z-table or calculator, the critical value is approximately 1.475.
b. For a 92% confidence level and a sample size of 15, we need to find the critical t-value t????/2. First, we determine the degrees of freedom, which is n - 1 = 15 - 1 = 14. Using a t-table or calculator, the critical t-value is approximately 1.761.
c. For a left-tailed test at the α = 0.025 level of significance and a sample size of 18, we need to find the critical value. Since the level of significance is α = 0.025, the area in the left tail is 0.025. Using a t-table or calculator, the critical value is approximately -2.101.
d. For a two-tailed test of a population proportion with α = 0.08, we need to find the critical value. Since we have a two-tailed test, we divide α by 2 to get 0.08 / 2 = 0.04. Using a z-table or calculator, the critical value is approximately 1.755.
Learn more about critical values here:https://brainly.com/question/34254747
#SPJ3
The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,
Answer:
[tex]x^2 + x - 72 = 0[/tex]
Explanation:
We are given product of two consecutive odd integers is equal to 72.
Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.
Their product is equal to 72. So,
x * (x + 1) = 72
=> [tex]x^2 + x = 72[/tex]
=> [tex]x^2 + x - 72 = 0[/tex] is the required quadratic equation.
Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.
Answer:
-5/4
Step-by-step explanation:
See the attachment for rise and run lines. The slope is the ratio ...
slope = rise / run = -5/4
In mathematics, 'rise' and 'run' are used to find the slope of a line. They represent vertical and horizontal distances respectively between two points. Slope, represented as 'm' is calculated as 'rise/run' which gives the ratio of the vertical change to the horizontal change.
Explanation:In Mathematics, specifically in Algebra and Geometry, the terms 'rise' and 'run' refer to the vertical and horizontal distances between two points on a line, respectively. In the context of a line on a graph, the 'run' corresponds to the difference in the x-values of the points (horizontal change), while the 'rise' corresponds to the difference in the y-values of the points (vertical change). These terms are crucial when calculating the slope of a line.
The slope of a line, also often represented by the letter 'm', is computed as 'rise/run', giving us the ratio of the vertical change to the horizontal change between two points on the line. If for instance, the rise is 4 units and the run is 2 units, your slope or 'm' would be 4/2 which simplifies to 2. This means that for every step you move horizontally (run), you move two steps vertically (rise).
Learn more about Slope here:https://brainly.com/question/19131126
#SPJ12
I need all the questions answered.Show Work
Answer:
5 i) Space occupied by 1 ball = 137.26 cubic centimeters
5 ii) Space occupied by 6 tennis balls = 823.56 cubic centimeters
6 i) 19.2 centimeters
6 ii) 12.8 centimeters
6 iii) 6.4 centimeters
6 iv) 1572.86 cubic centimeters
7. 749.3 cubic centimeters
Step-by-step explanation:
5.
i)
A tennis ball is in a shape of a sphere. The space occupied by 1 tennis ball is the volume of a sphere. The formula is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where
V is the volume and r is the radius (half of diameter)
Given diameter is 6.4 , the radius would be:
r = 6.4/2 = 3.2
Now, we substitute and find the volume:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3.2)^3\\V=137.26[/tex]
Space occupied by 1 ball = 137.26 cubic centimeters
ii)
We found space occupied by 1 ball, so space occupied by 6 balls would be 6 times that. So that would be:
Space occupied by 6 tennis balls = 137.26 * 6 = 823.56 cubic centimeters
6.
i)
The length of the box would be 3 diameters lined up. Since the length comprises of 3 balls side by side, we can say that 6 diameters would make up the length of the box, so:
diameter = 6.4
3 diameters = 6.4 * 3 = 19.2 centimeters
ii)
Now, we want the width of the box. That is 2 tennis balls lined up (as seen in the picture). That would be 2 diameters. so:
diameter = 6.4
2 diameters = 6.4 * 2 = 12.8 centimeters
iii)
The height of the box would be the height of 1 balls (see pic). That would be just 1 diameter of the ball. Given:
Diameter = 6.4 cm
So,
Height = 6.4 cm
iv)
The box is a rectangular prism. Which has a capacity (volume) formula as:
Volume = length * width * height
In the first 3 parts of this problem, we found each. Let's multiply each out to find the capacity of the box.
Volume = 19.2 * 12.8 * 6.4 = 1572.86 cubic centimeters
7.
The amount of empty space in the box is the volume of the rectangular box MINUS the volume of all the 6 balls. We have already found:
Volume of Box = 1572.86
Volume of 6 balls = 823.56
Hence,
Empty Space = 1572.86 - 823.56 = 749.3 cubic centimeters
Carson bought two loaves of bread and one dozen eggs at the grocery store yesterday he paid a total of $6.09.If one dozen of eggs cost $1.79,how much is a loaf of bread?
Answer: $4.30
Step-by-step explanation: if you take 6.09 and subtract 1.79 you will get $4.30
Adam and Brianna plan to install a new tile floor in a classroom. Adam works at a constant rate of 50 tiles per hour, and Brianna works at a constant rate of 55 tiles per hour. If the new floor consists of exactly 1400 tiles, how long will it take Adam and Brianna working together to complete the classroom floor?
Answer:
t≅13.33h
Step-by-step explanation:
Adam (A) works at constant rate of 50tiles/h
Briana (B) works at constant rate of 55tiles/h, this means that A=50 tiles per hour and B=55 tiles per hour, then A+B = 105tiles/h together, but the floor consists of 1400tiles, so if 105 tiles are installed in one hour, then 1400 tiles in how long they will be installed?
t = 1400tiles*h/105tiles≅ 13.33 h
HELP ASAP PLEASE!!!
Jordan flipped a coin 490 times. Which of the following would be a good estimate of the number of times the coin landed on heads?
A. 440
B. 230
C. 345
D. 170
Answer:
230.
Step-by-step explanation:
You have a 50% chance to get heads or tails. So that's half of 490, which is 245. It says estimate, so that means a relative guess. 230 would be the closest.
Final answer:
To estimate the number of times a coin flipped 490 times lands on heads, one should expect approximately half of the flips to be heads, which is about 245. Thus, option B. 230 is the closest estimation.
Explanation:
The question deals with the probability of outcomes when flipping a coin multiple times. When you flip a coin, the probability of it landing on heads is 50 percent each time, irrespective of previous outcomes. Thus, if you flip a coin 490 times, a good estimate for the number of times it will land on heads is roughly half of 490, which is 245. Therefore, the best estimate from the given options would be B. 230, as it is the closest to 245.
A method for determining whether a critical point is a minimum, maximum, or neither using the slope of the curveA) First Derivative TestB) Absolute MaximumC) AccelerationD) Concavity
Answer:
a. First derivative
Step-by-step explanation:
To determine the nature of the stationary points:
Either Find dy/dx or d2y/dx2
If the result is: positive—the point is a minimum one; negative—the point is a maximum one; zero—the point is a point of inflexion
or
Determine the sign of the gradient of the curve just before and just after the stationary points.
If the sign change for the gradient of the curve is: positive to negative—the point is a maximum one; negative to positive—the point is a minimum one; positive to positive or negative to negative— the point is a point of inflexion
A method for determining whether a critical point is a minimum, maximum, or neither using the slope of the curve is the First Derivative Test (Letter A).
First Derivative TestCritical points represent the values of x for that f '(x) is zero or the derivative doesn't exist. Therefore, they represent the only places where a function can have a local minimum, maximum or neither using the slope of the curve. See the rules for this method:
If f′(x) changes from positive to negative at c, then f(c) is a local maximum.If f′(x) changes from negative to positive at c, then f(c) is a local minimum.If f′(x) does not change sign at c, then f(c) is neither a local maximum or minimum.Read more about the First Derivative Test here:
https://brainly.com/question/6097697
Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component form a, b and in vector component form ai + bj. (Round each answer to one decimal place.)
Answer:
11.57 units east, 13.79 units upwards
11.57i + 13.79j
Step-by-step explanation:
V = 18 units at an angle of 50° to the positive x-axis
In component Form, this is how each component is calculated
a = 18cos50° = 11.57 units east
b = 18sin50° = 13.79 units upwards
check if your answer is correct
[tex]\sqrt{11.57^{2} +13.79^{2} } = 18.0[/tex]
In vector component form ai + bj = 11.57i + 13.79j