Answers
Total shoppers 255.
Number of shoppers who did not shop at the store = 20+70 = 90
Probability = 90/255 = 0.353
Related Questions
A caterer charges $800 for a party of 25 guests. For a party of 60 guests, the cost is $1,430. Enter a linear model that represents the total cost, C, as a function of g, the number of guests at a party.
Answers
Answer:
C = 18g +350
Step-by-step explanation:
The 2-point form of the equation of a line is useful for this. For points (x1, y1) and (x2, y2), the equation is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
For points (25, 800) and (60, 1430), the line is ...
y = (1430 -800)/(60 -25)(x -25) +800
y = 630/35(x -25) +800
y = 18x +350
Using the variables required by the problem statement, this is ...
C = 18g +350
Suppose that a is a one-dimensional array of ints with a length of at least 2. Which of the following code fragments successfully exchange(s) the values of the first two elements of a?I a[ 0 ] = a[ 1 ];a[ 1 ] = a[ 0 ];II int t = a[ 0 ];a[ 0 ] = a[ 1 ];a[ 1 ] = t;III a[ 0 ] = a[ 0 ] - a[ 1 ];a[ 1 ] = a[ 0 ] + a[ 1 ];a[ 0 ] = a[ 1 ] - a[ 0 ];A) I onlyB) II onlyC) III onlyD) I and II onlyE) II and III only
Answers
Answer:
E)II and III only
Step-by-step explanation:
This can be seen with examples. Say a[0]=1 and and a[1]=2.
for I , the first line of code would be:
a[0]=a[1];
thus, we would get a new value for a[0]=2.
The second line of code
a[1]=a[0]; uses the new value of a[0], so we would get a[1]=2.
The end result is a[0]=2, and a[1]=2 which doesn't exchange the values of the first two elements.
For II the first line of code
int t= a[0]; saves the original value of a[0] to t, so we get t=1.
the second line of code
a[0]=a[1]; changes the value of a[0] to that of a[1]. Thus, in our example a[0]=2.
the final line
a[1]=t; changes the value of a[1] to the original value of a[0], giving us a[1]=1 and a[0]=2, what we were looking for.
For III
the first line of code
a[0]=a[0]-a[1];
gives us
a[0]=1-2
the secon line
a[1]=a[1]+a[0];
takes the new value of a[0] and replaces it in the expression
a[1]= 2+(1-2)=1
the last line
a[0]=a[1]-a[0];
takes the new value of a[0] and a[1] and replaces the in the expression
a[0]=1-(1-2)=1-1+2=2
which exchanges the values needed.
So we can see that only II and III do what we require, giving us E as the answer.
How many solutions does the following system have?
3x+2y=1
-9x-6y=3
A. Infinitely many solutions
B. Two solutions
C. One solution
D. No solutions
Answers
Answer:
Option D. No solutions
Step-by-step explanation:
we have
[tex]3x+2y=1[/tex] -----> equation A
[tex]-9x-6y=3[/tex] ----> equation B
Multiply by -3 both sides equation A
[tex]-3(3x+2y)=-3(1)[/tex]
[tex]-9x-6y=-3[/tex] -----> equation C
Compare equation B and equation C
Equation B and equation C are parallel lines with different y-intercept
Verify
For x=0
Equation C
[tex]-9(0)-6y=-3[/tex] ----->[tex]y=0.5[/tex]
The y-intercept is the point (0,0.5)
Equation B
[tex]-9(0)-6y=3[/tex] ----->[tex]y=-0.5[/tex]
The y-intercept is the point (0,-0.5)
therefore
Lines do not intersect
The system has no solution
see the attached figure to better understand the problem
Final answer:
The system of equations has infinitely many solutions because the second equation is an exact multiple of the first, indicating that both equations are equivalent and represent the same line.
Explanation:
To determine how many solutions the system of equations has, we can look at the coefficients of the variables x and y in both equations.
The first equation is 3x + 2y = 1.
The second equation is -9x - 6y = 3. If we multiply the first equation by -3, we obtain -9x - 6y = -3.
We notice that the second equation is an exact multiple of the first equation after our manipulation. This means that the two equations are equivalent, and every solution to one equation is also a solution to the other. Thus, the system does not have a unique solution, but rather infinitely many solutions, as both lines represented by these equations would perfectly overlap on a graph.
The correct answer to the question is A. Infinitely many solutions.
The use of the relative frequency method to develop discrete probability distributions leads to what is called a a. binomial discrete distribution. b. non-uniform discrete distribution. c. uniform discrete distribution. d. empirical discrete distribution.
Answers
Answer:
d. empirical discrete distribution
Step-by-step explanation:
Empirical refers to what you observe, in this case the relative frequency
Discrete probability distributions is what you are trying to develop.
a, b and c are different forms an empirical discrete distribution can take. You could say that a,b and c are "types" of the "empirical discrete distribution"
The use of the relative frequency method leads to an empirical discrete distribution, which reflects observed frequencies in a sample and is distinct from theoretical models like the binomial distribution.
The use of the relative frequency method to develop discrete probability distributions leads to what is known as an empirical discrete distribution. This method involves determining probabilities based on the frequency of observed outcomes in a sample. In contrast, other discrete distributions such as the binomial distribution, hypergeometric distribution, and Poisson distribution are based on mathematical models with specific properties and assumptions beyond empirical observation.
An empirical discrete distribution captures the observed frequencies of outcomes in a sample and uses these frequencies as probabilities. It does not assume a specific theoretical distribution model, unlike the uniform distribution which assumes each outcome is equally likely, or the binomial distribution which is based on a fixed number of independent trials with a constant probability of success.
Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. Each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a Likert-type scale, 1 = strongly disagree and 5 = strongly agree). The sum of the 10 ratings was each respondent's self-esteem score. Their results were: t = 2.01, d = .90 (40 girls, 40 boys).What statistical test did the researchers use to determine if there was a statisticallysigniFcant di±erence in levels of self-esteem between the boys and the girls?
Answers
Answer:
The statistical tests that researchers use to determine if there was a statisticallysignificant difference in levels of self-esteem between the boys and the girls were the T-test and Cohen's d.
Step-by-step explanation:
A statistical test is utilized to evaluate differences between groups (in this case, between boy and girls). The dependent variable was the self-esteem while the independent variable was the sex. A T-test is utilized to establish differences in the mean of two groups. The null hypothesis for a T-test is that means of the groups are the same; the statistical value is t. A Cohen's d test indicates standardized differences between the mean of both groups. It usually accompanies a T-test result; the statistical value is d.
What is the value of x?
Help me.
Answers
Answer:
x = 50
Step-by-step explanation:
The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.
2(x + 10) = 3x - 30
Distribute on the left side.
2x + 20 = 3x - 30
Subtract 2x from both sides.
20 = x - 30
Add 30 to both sides.
50 = x
x = 50
Answer:
x=50
Step-by-step explanation:
2x+20 = 3x-30
2x+50 = 3x
50 = x
Last year, sales at Company X were 10% greater in February than in January, 15% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan?a. Febb. Marc. Aprd. Maye. June
Answers
Answer:
May
Step-by-step explanation:
Let x be the sales in January,
∵ Sales were 10% greater in February than in January,
So, the sales in February = (100 +10)% of x
= 110% of x
= [tex]\frac{110x}{100}[/tex]
= 1.1x
∵ it is 15% less in March than in Feb,
Sales in march = (100-15)% sales in February
= 85% of 1.1x
= 0.935x
∵ It is 20% greater in April than in March,
Sales in April = (100+20)% of sales in march
= 120% of 0.935x
= 1.122x,
∵ It is 10% less in May than in April
Sales in May = (100-10)% of sales in march
= 90% of 1.122x,
= 1.0098x,
∵ It is 5% greater in June than in May
Sales in June = (100+5)% of sales in march
= 105% of 1.0098x,
= 1.5147x
∵ 1.0098x is much closure to x than 1.1x, 0.935x, 1.122x and 1.5147x
Hence, the sales in May is closest to sales in January.
Swifty Corporation started the year with total assets of $300000 and total liabilities of $240000. During the year the business recorded $633000 in revenues, $335000 in expenses, and dividends of $61000. Stockholders’ equity at the end of the year was
a) 275000
b) 363000
c) 305000
d) 297000
Answers
Answer:
The answer is d) 297000
Step-by-step explanation:
The stockholders' equity of a company represents the amount of money that will be returned to the accionists if all the assests will be liquidated and the compan'y debt will be paid. So to calculate the Swifty Corporation stockholders' equity at the end of the year you need to add all what enters to the company (assets and revenues) and substract all what goes out (liabilities, expenses and dividends).
- What enters?
The starting assets = $300.000Revenues = $633.000Total incomes = $300.000 + $633.000 = $933.000
- What goes out?
Liabilities = $240.000Expenses = $335.000Dividends = $ 61.000Total expenses = $240.000 + $335.000 + $61.000 = $636.000
Stockholders' equity = Total income - Total expenses
Stockholders' equity = $933.000 - $636.000 = $297.000
An irrational number is a terminating decimal.
True
False
Answers
Translate these statements into English, where R(x) is "x is a rabbit "and H(x) is "x hops" and the domain consists of all animals. a) ∀x(R(x) → H(x)) b) ∀x(R(x) ∧ H(x)) c) ∃x(R(x) → H(x)) d) ∃x(R(x) ∧ H(x))
Answers
Answer:
A- for every animal, if the animal is a rabbit, the animal hops.
B- every animal is a rabbit and it hops.
C-there are animals that, if they are rabbits, they hop.
D-there are animals that are rabbits and they hop
Answer:
a) For every animal, if the animal is a rabbit, then the animal hops
b) For every animal, the animal is a rabbit and the animal hops
c) there are animals such that if they are rabbits then they hop
d) there are animals such that they are rabbits and they hop
Step-by-step explanation:
∀ For every
a⇒b a then b
a∧b a and b
∃ there are
(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y be the dependent variable.)
Answers
Answer:
The equation of the line is [tex]y=45.25t+545[/tex]
Step-by-step explanation:
The general for of a line is:
[tex]y=mt+n[/tex] (1)
where:
[tex]m[/tex] is the slope of the line and [tex]m[/tex] is the intercept with the axis of the dependent variable, [tex]y[/tex] in this case.
In order to obtain the value of the slope ([tex]m[/tex]) we can use the corresponding slope formula:
[tex]m=\frac{y_{2}-y_1 }{t_2-t_1}[/tex] (2)
where [tex]t_1, t_2, y_1[/tex] and [tex]y_2[/tex] are the corresponding coordinates of the given points. In this case:
[tex]t_1=0\\t_2=4\\y_1=545\\y_2=726\\[/tex]
Substituting these values in equation (2) we obtain:
[tex]m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25[/tex]
Hence, the line equation is now:
[tex]y=45.25t+n[/tex] (3)
Now to obtain the value of [tex]n[/tex] you can follow two options:
You can substitute one of your points, [tex]A[/tex] or [tex]B[/tex], in equation (3). In this way, you will obtain an equation where the variable is [tex]n[/tex]Note that for this question, it is easier to select point A because of having the independent variable equals to zero [tex]t=0[/tex]. Hence, substituting point A in equation (3):
[tex]45.25*0+n=545\\n=545[/tex]
Therefore, the line equation is: [tex]y=45.25t+545[/tex]
The second option to find [tex]n[/tex] is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that [tex]n[/tex] is equal to [tex]545[/tex].
See the attachment for a plot of the line.
Final answer:
To derive the equation of the line through A(0, 545) and B(4, 726), calculate the slope (45.25) and use the point-slope form to get the final equation: [tex]\(y = 45.25t + 545\).[/tex]
Explanation:
To derive an equation of the line passing through points A(0, 545) and B(4, 726), first we need to find the slope of the line. The slope, usually represented as[tex]\(m\),[/tex] is given by the change in \(y\) over the change in \(x\), which is [tex]\(\Delta y / \Delta x\).[/tex]We use the formula [tex]\(m = (y_2 - y_1) / (x_2 - x_1)\).[/tex]
Substituting the given points into the formula:
[tex]\[m = \frac{726 - 545}{4 - 0} = \frac{181}{4} = 45.25\][/tex]
Now that we have the slope, we use the point-slope form of a line's equation, which is [tex]\(y - y_1 = m(x - x_1)\), where \((x_1, y_1)\)[/tex]is a point on the line. Since one point we have is A(0, 545), we can substitute the values in:
[tex]\[y - 545 = 45.25 \cdot (x - 0)\][/tex]
Therefore, the equation simplifies to:
[tex]\[y = 45.25x + 545\][/tex]
This is the equation of the line in slope-intercept form, with \(t\) being the independent variable and \(y\) being the dependent variable.
Accounting deals with the strategic financial issues associated with increasing the value of the business while observing applicable laws and social responsibilities.
A) TRUE
B) FALSE
Answers
Answer:
The given statement is false.
Step-by-step explanation:
Accounting deals with the strategic financial issues associated with increasing the value of the business while observing applicable laws and social responsibilities.
This is false.
In accounting, we can make reports like journal entries, trial balance, profit and loss balance sheet etc. for the year but an accountant cannot make strategies over financial issues.
what is 10 = 7 - m.?
Answers
In order to get the answer to this question you will have to rearrange and solve the question step by step.
[tex]10=7-m[/tex]
Rearrange:
[tex]10-(7-m)=0[/tex]
[tex]10-7=3[/tex]
Rearrange once more:
[tex]m+3=0[/tex]
[tex]-3 -3[/tex]
[tex]m=-3[/tex]
Therefore the answer is "m=-3."
Hope this helps.
A rectangle has side lengths of (2x-5) meters and (2x+6) meters. Write a linear expression in simplest form to represent the perimeter. Find the perimeter if the value of x is 12 meters
Answers
Answer:
P = 8x + 2
P = 98 when x = 12
Step-by-step explanation:
the perimeter is 2 times width + length
P = 2(w + l)
w = 2x - 5
l = 2x + 6
replacing both terms in the perimeter:
P = 2(2x - 5 + 2x + 6)
P = 2(4x + 1)
P = 8x + 2
Evaluating P for x = 12
P = 8(12) + 2
P = 98
On the coordinate grid, your campsite is located at (-1,3) and the next checkpoint station is located at (3,-3). Each unit in the coordinate plane represents 1.4 miles. Find the distance you have to hike to reach the next checkpoint station
Answers
Answer:
The answer to your question is: 10. 1 miles
Step-by-step explanation:
data
P = (-1, 3)
Q = (3, -3)
Formula
d = √((x2-x1)² + (y2-y1)²)
d = √)(3- -1)² + (-3-3))
d = √ (4² + -6²)
d = √ (16 + 36)
d = √ 52
d = 7.21 units
but
1 units ----------------------- 1.4 miles
7.21 units --------------------- x
x = 7.21 x 1.4/1 = 10.1 miles
Use the formula d = rt. Find t for r = 33.2 m/h and d = 375.16 m. A. 0.09 h B. 341.96 h C. 11.3 h D. 12,455 h
Answers
Answer:
The answer to your question is: t = 11-3 h
Step-by-step explanation:
Data
r = 33.2 m/h
d = 375.16 m
Formula
d = rt
Clear t from the equation
t = d/r
Substitution
t = 375.16 m / 33.2 m/h
Simplifying
t = 11.3 h result
MARK AS BRAINLIEST!!
If the sales representative went to 300 schools and convinced 125 to sell their product, what percentage decided to not sell their product? Use two different strategies to calculate the answer?
- the answer is 58.3% of the schools decided to not sell the company’s product.
just explain how to get that answer
Answers
Answer:
58.3%
Step-by-step explanation:
125/300 people decided to buy their product but 175 didn't to get the answer for the problem you just divide 175 by 300 which gets you 0.58333... in which you move the decimal place two to the right which gives you 58.3 then that is your percent 55.3%
Answer: There is 58.3% of students that are not convinced.
Step-by-step explanation:
Since we have given that
Number of schools = 300
Number of schools that are convinced to sell their products = 125
Number of schools that are not convinced to sell their products = 300 - 125 = 175
Percentage of schools that are not convinced is given by
(175 ÷ 300) × 100
= 175 ÷ 3
= 58.3 %
Hence, there is 58.3% of students that are not convinced.
Please help me understand this problem! I don’t understand the methods to understand how to solve it
Answers
Answer:
Perimeter at the big rectangle is 156 cm.
Step-by-step explanation:
Let's see how to calculate it.
1. First of all you know that perimeter in the blue one is 20cm, so imagine this:
L (long side); S (short side)
2L + 2S =20
and we consider that L = 4S
So, solving the equation:
2.4S + 2S =20
10S=20
S=20/10
S=2
L=8
2. Side at the gold square is 8, the same at the long side in the blue rectangle. So, if you see on the right side in the big one, we got 2 + 8 + 8 + (?). Take a look to the green. Green square is the gold + a short piece and you can understand the short piece as 2 short sides from the blue. If we give numbers we have 8 + 2 + 2, 12.
Now, 2+8+8+12 = 30cm
3. Let's go to the long side in the big one.
We have long side from blue (8) and as you see, side at the orange square must be side at the yellow + short at the blue, so 8+2 =10. We have four oranges square so 10+10+10+10=40, and +8 =48
4. Now that we have the two sides in the big one, let's find the perimeter with the rectangle formula:
2L + 2S =P
2.48 + 2.30 = 156 cm.
Laura mailsthree packages the first weighs 11.238 pounds the second weighs 9.45 pounds the third weighs 16.2 pounds what is the total weight of the packages
Answers
Answer:
36.888
Step-by-step explanation:
you would just add them all up. 11.238 + 9.45 + 16.2 then you'll get your answer which is 36.888
A plumber earns $50 for a repair job, plus an additional $75 per hour he works. On Tuesday, he completed 3 repair jobs and earned a total of more than $600.
Part A Write an inequality that can be used to determine h, the number of hours the plumber worked Tuesday
Part B: Solve your inequality to determine the number of hours the plumber worked Tuesday. Provide mathematical justification for your answer.
Answers
Answer:
A. [tex]150+75h>600[/tex]
B. More than 6 hours
Step-by-step explanation:
A plumber earns $50 for a repair job, so he will earn $150 for three repair jobs.
Let h be the number of hours the plumber worked on Tuesday. He earns $75 per hour worked, so he will earn $75h in h hours.
In total, the plumber earned $(150 + 75h)
A. On Tuesday, he completed 3 repair jobs and earned a total of more than $600. Thus
[tex]150+75h>600[/tex]
B. Solve this inequality. Subtract 150:
[tex]150+75h-150>600-150\\ \\75h>450[/tex]
Divide by 75:
[tex]h>\dfrac{450}{75}\\ \\h>6[/tex]
This means, the plumber worked more than 6 hours.
Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for each person. The policies will expire at the end of the tenth year. The probability that only the wife will survive at least ten years is 0.025, the probability that only the husband will survive at least ten years is 0.01, and the probability that both of them will survive at least ten years is 0.96 . What is the expected excess of premiums over claims, given that the husband survives at least ten years?
Answers
Answer: 896.9072165
Step-by-step explanation:
Brittany will be working full time this summer to save for her goal of having $10,000 by the time she's 21. Brittany has an account that will pay
3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit at the end of the
summer so that her money can grow into $10,000 by the time she's 21?
A $8,663
B. $8,681
OC $8.695
D. $8,720
Answers
Answer:
8,695
Step-by-step explanation:
The formula for compound interest is :
Money = C * (1+r)^n
Where
C is the money invested
r is the interest
n is the periods you are investing
Money is the money you will have at the end of the period
In this problem C is what you need to find, the interest is 3.5% (anually) and since it is compounded monthly you have to divide it by 12 months to know exactly the interest of each month:
3.5/12 = 0.2917
The number of periods invested is 4 years, and because the interest is monthly the exact number of periods is 48 ( 4* 12 )
Replacing and solving:
10000 = C * (1+0.002917)^48
C = 8,695
Answer:
8,695
Step-by-step explanation:
According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men who were very active (burning about 3,500 calories daily) were a third as likely to develop diabetes compared with men who were sedentary. Assume that one in 10 middle-aged men is very active, and the rest are classified as sedentary. What is the probability that a middle-aged man with diabetes is very active? (Round your answer to four decimal places.)
Answers
To find the probability that a middle-aged man with diabetes is very active, we need to use conditional probability. We calculate the probability of a middle-aged man being very active and the probability that a middle-aged man has diabetes. Then we use these probabilities to find the conditional probability of being very active given diabetes.
Explanation:To find the probability that a middle-aged man with diabetes is very active, we need to use conditional probability. Let's first calculate the probability of a middle-aged man being very active:
P(very active) = 1/10
The remaining probability would be for men who are sedentary:
P(sedentary) = 1 - P(very active) = 9/10
Now we can calculate the probability that a middle-aged man with diabetes is very active using conditional probability:
P(very active | diabetes) = (P(very active) * P(diabetes | very active)) / P(diabetes)
Since the question states that men who are very active are a third as likely to develop diabetes compared to men who are sedentary, we can calculate:
P(diabetes | very active) = 202/5990
P(diabetes) = (202/5990 * 1/10) + (P(diabetes | sedentary) * 9/10)
Substituting the values, we can calculate the probability that a middle-aged man with diabetes is very active:
P(very active | diabetes) = (1/10 * 202/5990) / ((202/5990 * 1/10) + (P(diabetes | sedentary) * 9/10))
Learn more about Conditional probability here:https://brainly.com/question/32171649
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The probability that a middle-aged man with diabetes is very active is:
[tex]\[ {0.0356} \][/tex].
Given data:
- [tex]\( P(A) = \frac{1}{10} = 0.1 \)[/tex](probability of being very active)
- [tex]\( P(S) = \frac{9}{10} = 0.9 \)[/tex] (probability of being sedentary)
- [tex]\( P(D | S) \)[/tex] (probability of developing diabetes given sedentary) is not directly given, but we can deduce it using the provided data and the fact that the risk of diabetes for active men is a third of that for sedentary men.
- Total probability of developing diabetes, [tex]\( P(D) = \frac{202}{5990} \approx 0.0337 \)[/tex]
First, we need to calculate [tex]\( P(D | A) \) and \( P(D | S) \)[/tex]:
Since active men are a third as likely to develop diabetes compared to sedentary men:
[tex]\[ P(D | A) = \frac{1}{3} P(D | S) \][/tex]
Using the law of total probability for P(D) :
[tex]\[ P(D) = P(D | A)P(A) + P(D | S)P(S) \][/tex]
Substitute the given values and the relationship between P(D | A) and P(D | S):
[tex]\[ 0.0337 = \left( \frac{1}{3} P(D | S) \right)(0.1) + P(D | S)(0.9) \][/tex]
Solve for P(D | S) :
[tex]\[ 0.0337 = \frac{1}{30} P(D | S) + 0.9 P(D | S) \]\[ 0.0337 = 0.0333 P(D | S) + 0.9 P(D | S) \]\[ 0.0337 = (0.0333 + 0.9) P(D | S) \]\[ 0.0337 = 0.9333 P(D | S) \]\[ P(D | S) = \frac{0.0337}{0.9333} \approx 0.0361 \][/tex]
Now calculate P(D | A) :
[tex]\[ P(D | A) = \frac{1}{3} P(D | S) = \frac{1}{3} \times 0.0361 \approx 0.0120 \][/tex]
Next, apply Bayes' theorem to find P(A | D) :
[tex]\[ P(A | D) = \frac{P(D | A) P(A)}{P(D)} \]\[ P(A | D) = \frac{0.0120 \times 0.1}{0.0337} \]\[ P(A | D) = \frac{0.0012}{0.0337} \approx 0.0356 \][/tex]
Plot the inequality on the number line.
x ≤ 1 or x>8
Answers
Answer:
See the picture
Step-by-step explanation:
Interval (-∞, 1] U (8, ∞)
On a number line the inequality x ≤ 1 shows all the numbers less than 1 and x>8 shows all the numbers greater than 8.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The graph of the two inequality is attached with the answer below where the inequality x ≤ 1 shows all the numbers less than 1 and x>8 shows all the numbers greater than 8.
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A researcher wondered whether drivers treat bicycle riders differently when they wear helmets. He rigged his bicycle with an ultrasonic sensor that could measure how close each car was that passed him. He then rode on alternating days with and without a helmet. Of the 30003000 times that a car passed him, he found that when he wore his helmet, motorists passed 3.273.27 inches closer to him, on average, than when his head was bare. What is the WhoWho in this study? That is, identify the cases under study.
A. The bike riders
B. Each instance of a car passing a rider
C. Bike helmets
D. The cars
Answers
Answer:
In this case study we have following groups:
1. Population: It had all the cars which passed the bicyclist. Out of which 3000 cars were taken.
2. Who: Each instance of a car passing a rider, means the drivers passing by.
That is the 3000 cars which passed the researcher on his bicycle.
3. What: The distance at which cars pass the bicycle rider. The distance the drivers stayed away from his bike.
The subject of this question is the cars in the study.
Explanation:The Who in this study refers to the cases under study. In this case, the cases under study are the cars. The researcher rigged his bicycle with an ultrasonic sensor to measure how close each car was that passed him, and he observed that when he wore a helmet, motorists passed closer to him compared to when his head was bare. Therefore, the cars are the subject of this study.
A notebook is 12 inches long. If the area of the notebook is 96 square inches, what is the width of the notebook?
A.
9 inches
B.
7 inches
C.
10 inches
D.
8 inches
Answers
12 x 8 = 96
Answer:
D.8 inches
Step-by-step explanation:
SOLVE FOR W
w/8.75=7
Answers
In order to get the answer to this question you will have to multiply both sides by 8.75 and you will get your answer.
[tex]\frac{w}{8.75} =7[/tex]
[tex]\times8.75\times8.75[/tex]
[tex]7\times8.75=61.25[/tex]
[tex]w=61.25[/tex]
Therefore your answer is "w = 61.25."
Hope this helps.
On a square gameboard that is divided into n rows of n squares each, k of these squares do not lie along the boundary of the gameboard. If k is one of the four numbers 10, 25, 34, or 52, what is a possible value for n?
Answers
To find a possible value for n given the number of squares not along the boundary of a gameboard, set up an equation and solve it using the quadratic formula.
Explanation:The number of squares that do not lie along the boundary of the gameboard can be found by subtracting the number of squares along the boundary from the total number of squares on the gameboard. The total number of squares on the gameboard is n×n, and since there are n squares along each side of the gameboard, the number of squares along the boundary is 4n. Therefore, the number of squares that do not lie along the boundary is n×n - 4n.
Given these equations, we can set up an equation for each possible value of k:
10 = n×n - 4n25 = n×n - 4n34 = n×n - 4n52 = n×n - 4nWe can solve these equations to find the possible values of n. For the first equation, arranging the terms gives us the quadratic equation n×n - 4n - 10 = 0. By solving this quadratic equation using the quadratic formula, we can find the possible values of n that satisfy the equation. Similarly, we can do the same for the remaining equations to find all possible values of n.
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On an island where knaves never tell the truth and knights always tell the truth, you meet 3 of the island's inhabitants: Fred, George, and Quincy. You ask Fred, "Are you a knave?" Fred says the answer to the other natives, but you can't hear him. George turns to you and says that Fred denied being a knave. Quincy says Fred is a knave. How many of the three are knaves?
Answers
Answer:
There is one knave
Step-by-step explanation:
Let's analyze the two possible scenarios, from the unheard Fred's answer
- SCENARIO 1: Fred is a knave.
If Fred is a Knave, he must have told to the other natives that he wasn't, remember that Knaves will never tell the truth. In that sense, George said that Fred denied being a knave, he would be telling the truth (Fred is a knight) and Quincy said that Fred is a knave, which would also be true (Quincy is a knight too).
-SCENARIO 2: Fred is a knight
If Fred is a knight, he must have told to the other natives that he wasn't a knave, he would be telling the truth. In this case, George would also be telling the truth by ensuring that Fred denied being a knave (Fred is a knight). However, Quincy would be lying to ensure that Fred is a knave. In this scenario Quincy is the knave
In conclusion, in both scenarios, there is only one knave.
If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) a. is 1.00. b. is 0.5. c. is 0.00. d. None of these alternatives are correct.
Answers
Answer:
The answer is (d) "None of the these alternatives are correct"
Step-by-step explanation:
If two events A and B are independent, the probability of the intersection [tex]P(A\cap B)[/tex] is defined as:
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
Therefore, in the exercise:
[tex]P(A\cap B)=P(A)\cdot P(B)=0.5\cdot 0.5\\P(A\cap B)=0.25[/tex]
which give (d) "None of the these alternatives are correct"
For independent events A and B with P(A) = 0.5 and P(B) = 0.5, the probability of both events occurring, P(A ∩ B), is the product of their probabilities, which is 0.5 × 0.5 = 0.25. The correct answer is 'd. None of these alternatives are correct.'
Explanation:The question revolves around the concept of independent events in probability. Since events A and B are independent, the probability of both events occurring together, P(A ∩ B), is the product of their individual probabilities. Thus, using the given probabilities P(A) = 0.5 and P(B) = 0.5, the probability of both A and B occurring is found by multiplying these probabilities together.
P(A ∩ B) = P(A) × P(B) = 0.5 × 0.5 = 0.25.
Therefore, the correct answer is not listed among the provided alternatives, so the correct choice would be 'd. None of these alternatives are correct.'