Answer:
The answer for this question is 4.
Step-by-step explanation:
2+2=4
A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle is 7.9 cm. What is the radius of the water bottle? Use 3.15 for pi
Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π × [tex]r^{2}[/tex] × h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211 [tex]cm^{3}[/tex].
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π × [tex]r^{2}[/tex] × h = 211 ; (π = 3.15)
⇒ [tex]r^{2}[/tex] × 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.
Wayne owns a house with a value of $215,000. He has a mortgage of $175,000 on the house. He has a car worth $12,500 with a loan of $4,000 outstanding. He has $1,875 worth of electronic equipment and a saving account of $2,400. He owes $1,275 on his credit card.
What is the amount of his assets?
What is the amount of his liabilities?
What is Wayne's net worth?
Answer:
Assets: $231,775
Liabilities: $180,275
Net worth: $51,500
Step-by-step explanation:
- Assest is something of value. ex. house, barns, tractors. To find this take...
215,000+12,500+1,875+2,400=$231,775
(All these numbers are good things he has, not debt.)
- Liability is debt you will need to repay. ex. loans or accounts payable. To find this take...
175,000+4,000+1,275=$180,275
- Net worth is the difference between your total assests and total liabilities. Knowing difference is subtraction, we should subtract assests minus liablities. To find this take...
$231,775-$180,275=$51,500
- Hope this helps! If you have any further questions or other problems you need help on please let me know as I would be glad to help.
what is the probablility of flipping a coin tails all three times and all three time you get tails?
Answer:
If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18. Tossing of the coin is an independent event. The probablility of each event is 12.
Andy promises opie that he will give him 5000 upon his graduation from college at mayberry u. How much must andy invest today to make good on his promise, if opie is expected to graduate in 12 years and andy can earn 5% on his money?
Answer: Andy should invest RS. 2784.19 for 12 years .
Step-by-step explanation:
Since we have given that
Amount = Rs. 5000
Time = 12 years
Rate of interest = 5%
So, We need to find the sum:
Using "Compound interest" , we get :
[tex]A=P(1+r)^t\\\\5000=P(1+0.05)^{12}\\\\5000=P(1.05)^{12}\\\\\dfrac{5000}{1.05^{12}}=P\\\\2784.19=P[/tex]
Hence, Andy should invest RS. 2784.19 for 12 years .
Final answer:
To find out how much Andy needs to invest today to fulfill his promise to Opie in 12 years with a 5% interest rate, we use the present value formula. Andy needs to invest approximately $2475.64 today to ensure he can fulfill his promise to Opie.
Explanation:
To calculate how much Andy must invest today to fulfill his promise to Opie, we can use the concept of present value.
First, we need to find the present value of $5000 that Opie will receive in 12 years with a 5% interest rate.Using the present value formula: P = F / (1 + r)^n, where P is the present value, F is the future value, r is the interest rate, and n is the number of years, we can plug in the values and calculate the amount Andy must invest today.By calculating the present value, Andy needs to invest approximately $2475.64 today to ensure he can fulfill his promise to Opie.which function BEST expresses the linear relationship displayed by the scatter plot? A) y = 1.4x − 11.2 B) y = 0.7x − 10.8 C) y = 1.4x + 11.2 D) y = 0.7x + 10.8
Answer:
d
Step-by-step explanation:
Which represents a quadratic function
answer:
it's the second one -7^2-x+2
explanation:
in order to be a quadratic function it has to meet this criteria: ax² + bx + c
it can't be the first one because there is no bxit can't be the third one because there has to be at least an exponent of 2it can't be the last one because a CANNOT be 0, hoped this help pls lmk if i'm right lolThe quadratic function is -7x²-x+2. Therefore, option B is the correct answer.
What is a quadratic function in standard form?The standard form of a quadratic equation is given as:
ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.
A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2. A quadratic function has a minimum of one term which is of the second degree.
Here, the quadratic function is -7x²-x+2
Therefore, option B is the correct answer.
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. Classify ABC if the vertices are A(-12,5), B(12,5), and C(10, 17).
A-right scalene'
B-obtuse scalene
C- acute scalene
D-none of these
Answer:
acute scalene
Step-by-step explanation:
Amy deposited $460 into a savings account that pays 3.2% annual interest. In 5 years, how much interest will she have earned?
Answer:
$73.60
Step-by-step explanation:
take 460 times .032 witch is 14.72 then times that by 5
I dont know how to do this, i mean i do but its hard
Answer:
Step-by-step explanation:
opposite= 8 : the length opposite angle c
adjacent=15 : the length next to angle c, not the hypotenuse
hypotenuse= 17 : the hypotenuse will always be opposite the right angle
[tex]sinC=\frac{opposite}{hypotenuse}\\ \\sinC=\frac{8}{17}[/tex]
[tex]cosC=\frac{adjacent}{hypotenuse}\\\\cosC=\frac{15}{17}[/tex]
[tex]tanC=\frac{opposite}{adjacent} \\\\tanC=\frac{8}{15}[/tex]
4.
How can you use a graph of a linear relationship to predict an unknown
value of y for a given value of x within the region of the graph?
Step-by-step explanation:
Take a look at this graph (sorry, it's small). The graph shows three data points, (0, 1), (2, 6), and (4, 8). The line is called the "line of best fit" or "regression line."
The equation for the line is y = 1.75x + 1.5 .
The data did not include a point for x = 3, but it can be predicted by finding the y-coordinate on the line that corresponds to x = 3.
Substituting x = 3 into the line's equation gives
y = 1.75(3) + 1.5 = 6.75
That's the predicted value of y for x = 3 given the linear relationship shown.
PLEASEEEEEEEEEE HELPPPPPPPPPPP
Answer:
I would just guess, but if i were to actually think about it, i would think C. I hope it helps, and blame it on me if you fail.
Step-by-step explanation:
A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular velocity? How far will it travel in that time? Round to the nearest tenth.
180°; 4 rev/sec
Step-by-step explanation:
The coin roll revolution = 4 rev / sec
Angle = 180° which is 1/2 of a revolution(360°).
The circumference of a circle is 2πr.
Radius of the circle, r = 10 mm
The circumference of this coin = 20π mm.
Again 180° is half of a roll,
the circumference = [tex]\frac{20\pi }{2}[/tex] = 10π
The coin travels 31.42 mm.
The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope has a half-life of 8 days. After 16 days, how much of the radioactive isotope remains? 1.2.0 mg2.2.5 mg 3.5.7 mg 4.7.1 mg
Answer:
2.5 mg
Step-by-step explanation:
We are given that
A=Initial amount=10 mg
Half life,h=8 days
We have to find the mass of radioactive isotope remains after 16 days.
t=16 days
We know that the amount of radioactive isotope after t days is given by
[tex]P(t)=A(1\frac{1}{2}^{\frac{t}{h})[/tex]
Using the formula
[tex]P(t)=10(\frac{1}{2}^{\frac{16}{8}})[/tex]
[tex]P(t)=10\times (\frac{1}{2})^2[/tex]
[tex]P(t)=2.5 mg[/tex]
Answer:
its b on edg
Step-by-step explanation:
its B I answered the question on my test and got it correct
In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.9 and a standard deviation of 15.8. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Answer: We do not sufficient evidence that mean is greater than 0.
Step-by-step explanation:
Since we have given that
n = 36
mean = 0.9
Standard deviation = 15.8
at 0.01 level of significance,
Hypothesis would be:
[tex]H_0:\mu =0\\\\H_1=\mu\neq 0[/tex]
Standard error of mean would be :
[tex]\dfrac{\sigma}{\sqrt{n}}=\dfrac{15.8}{\sqrt{36}}=\dfrac{15.8}{6}=2.63[/tex]
statistic value would be :
[tex]t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{0.9-0}{2.63}\\\\t=\dfrac{0.9}{2.63}\\\\t=0.342[/tex]
Degree of freedom = df = 36-1=35
So, p value = 2.4377
Since 2.4377 > 0.342, we will not reject null hypothesis.
Hence, We do not sufficient evidence that mean is greater than 0.
Un triángulo isósceles ,la altura al lado desigual mide 1 cm mas que longitud de ese lado . Calcula el valor de dicha altura sabiendo que el area es de 6 cm²
Answer:
Hence the required dimension is 4cm.
Step-by-step explanation:
Given:
An Isosceles triangle with uneven side=l+1 cm
Area= 6 sq cm
To Find:
Height of Triangle.
Solution:
We know that area of triangle given by,
Area=1/2*base*height.
Here height =1+base
6=1/2((b+1)*b
12=(b+1)*b.
b^2+b-12=0
(b-3)(b+4)=0
b=3 or b=-4
So length never be negative
so b=3 cm
And height=b+1=3+1=4 cm.
Venus is the planet that comes nearest to Earth. It's closest position is about 38.000,000 kilometers from Earth. Write this number expressed as a product of 38 and a power of 10. I am in 5th grade and this is for math.
Answer:
The distance as product of 38 and a power of 10 is [tex]38*10^{6}[/tex]
Step-by-step explanation:
In math when we're dealing with big numbers like this we express them in power of 10, since it'll be easyer to read that way. We take the parts of the number to the left that are not equal to "0", in this case 38, and multiply it by a power of 10. The expoent to this power of 10 will be the number of "0" after the 38 and before the ",". In this case the closest distance from Earth to Venus is 38,000,000 (there's a typo in the question). So we take the 38 and multiply it by [tex]10^{6}[/tex], since there are 6 zeros.
The distance as product of 38 and a power of 10 is [tex]38*10^{6}[/tex]
Lu is making a quilt that is 20 squares wide and has 18 rows the border of the quilt is made by using each toy design equally as often there are a total of 6 toy designs each square can hold 1 design how many of each design does she use for the border?
Answer:
The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.
Step-by-step explanation:
Width of the quilt Lu is making is 18 rows of 20 squares each.
Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.
We can also say there are 76 square as the boundary which are to be bordered with toy designs.
Each square can hold 1 design of toy and there are 6 different designs of toys.
Thus number of times each design is used [tex]\frac{76}{6}[/tex] = 12 [tex]\frac{4}{6}[/tex].
Thus there are two designs used 12 times each and other four designs are used for 13 times each.
Part A
in the table describe the shape of the cross section formed when a particular plane passes through the cone
Answer:
plane parallel to the circular base, not passing through the tip of the cone: circle
plane parallel to the circular base, passing through the tip of the cone: A point
plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone: an oval that becomes more elongated as the angle with the horizontal increases
plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone : an isosceles triangle
Step-by-step explanation:
What is the cross section of a shape?A cross-section is a plane section that is a section of a three-dimensional object that is parallel to one of its planes of symmetry or perpendicular to one of its lines of symmetry. Describe shapes formed by cross-sections (square, rectangle, triangle, etc.)
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A container contains a large unspecified number of ping-pong balls. A student takes 80 balls from the container, marks them with a blue dot, returns the marked balls to the container, and thoroughly mixes the balls. She then takes 80 balls again from the container. Of these, 16 have blue dots. She now wants to use this data to estimate the total number of ping-pong balls in the container. What is an estimate for the number of ping-pong balls in the container?
Answer:
400 ping pong balls
Step-by-step explanation:
Let the total number of ping pong balls =x
Out of x ping pong balls, 80 are marked with a blue dot
Out of 80 ping pong balls, 16 are marked with a blue dot.
Expressing it as a ratio:
x:80=80:16
[tex]\frac{x}{80}=\frac{80}{16}\\ 16x=80X80\\x=6400 \div 16\\x=400[/tex]
There are an estimate of 400 ping pong balls in the container.
Each vertex of the polygon shown below forms a right angle. The side measurements given are inches. What is the area of the figure?
Given:
Given that each vertex of the polygon forms a right angle.
The measurements of the sides of the polygon were given.
We need to determine the area of the polygon.
Let us divide the polygon into 3 rectangles.
Area of the rectangle can be determined using the formula, [tex]A=length \times width[/tex]
Area of rectangle 1:
The length of rectangle 1 is 17 inches.
The width of rectangle 1 is 8.5 inches.
The area of rectangle 1 is given by
[tex]17 \times 8.5 =144.5 \ in^2[/tex]
Area of rectangle 2:
The length of rectangle 2 is 16.5 inches.
The width of rectangle 2 is (17 - 9) = 8 inches.
The area of rectangle 2 is given by
[tex]16.5 \times 8 =132 \ in^2[/tex]
Area of rectangle 3:
The length of rectangle 3 is 13 inches.
The width of rectangle 3 is 11 inches.
The area of rectangle 3 is given by
[tex]13 \times 11=143 \ in^2[/tex]
Area of the polygon:
The area of the polygon can be determined by adding the areas of the three rectangles.
Thus, we have;
[tex]Area=144.5+132+143[/tex]
[tex]Area=419.5 \ in^2[/tex]
Thus, the area of the figure is 419.5 square inches.
Hence, Option B is the correct answer.
A university wants to estimate the average distance that commuter students travel to get to class with an error of ±3 miles and 90 percent confidence. What sample size would be needed, assuming that travel distances are normally distributed with a range of X = 0 to X = 50 miles, using the Empirical Rule μ ± 3σ to estimate σ.
Answer:
A university wants to estimate the average distance that commuter students travel to get to class with an error of ±3 miles and 90 percent confidence. What sample size would be needed, assuming that travel distances are normally distributed with a range of X = 0 to X = 50 miles, using the Empirical Rule μ ± 3σ to estimate σ.
The required sample size, n=(zσ/E)² = 21.0
Step-by-step explanation:
The estimated σ here = (range)/6 = (50/6) = 8.33
In the case of 90 % , CI value of z = 1.64
standard deviation, σ= 8.33
margin of error E = 3
The required sample size, n=(zσ/E)² = 21.0
Answer:
n = 21
Step-by-step explanation:
Solution:-
- Let denote a random variable "X" : average distance that commuter students travel to get to class.
- The population is given to be normally distributed, such that:
Range X: [ 0 , 50 ] miles
- We will use the given range coupled with the empirical rule for normal distribution to determine the mean (u) and standard deviation of population (σ):
P ( μ - 3σ < X < μ + 3σ) = 0.997 ..... (Empirical Rule)
- According to the standardized results for Z-table:
P ( -3 < Z < 3 ) = 0.997
So, P ( Z ≤ 3 ) = 1 - (1 - 0.997) / 2 = 0.9985
P ( Z ≥ -3 ) = 1 - (1 - 0.997) / 2 = 0.9985
- The standardized values for the given data can now be determined:
P ( X ≥ μ - 3σ ) = P ( Z ≥ -3 ) = 0.9985
X ≥ μ - 3σ = Upper limit - 0.9985*( Range )
X ≥ μ - 3σ = 50 - 0.9985*( 50 )
μ - 3σ = 0.075 ..... Eq1
P ( X ≤ μ + 3σ ) = P ( Z ≤ 3 ) = 0.9985
X ≤ μ + 3σ = Lower limit + 0.9985*( Range )
X ≤ μ + 3σ = 0 + 0.9985*( 50 )
μ + 3σ = 49.925 ..... Eq2
- Solve the Eq1 and Eq2 simultaneously:
2μ = 50 , μ = 25 miles
3σ = 24.925
σ = 8.30833
- Hence, the normal distribution parameters are:
X ~ N ( μ , σ^2 )
X ~ N ( 25 , 8.308^2 )
- The standard error in estimation of average distance that commuter students travel to get to class is E = ±3 miles for the confidence level of 90%.
- The Z-critical value for confidence level of 90%, Z-critical = 1.645
- The standard error estimation statistics is given by the following relation with "n" sample size.
E = Z-critical*σ /√n
n = [ Z-critical*σ /E ]^2
- Plug in the values:
n = [ 1.645*8.308/3]^2
n = 20.75306 ≈ 21
Answer: The sample size needed to estimate average distance that commuter students travel to get to class with error of ±3 miles and 90 percent confidence, is n = 21.
what is 5x-(x-2)>2x-4(x-8)
Answer:
x > 5
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(4x + 2) - (2x - 4 • (x - 8)) > 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
6x - 30 = 6 • (x - 5)
Equation at the end of step 3 :
6 • (x - 5) > 0
Step 4 :
4.1 Divide both sides by 6
Solve Basic Inequality :
4.2 Add 5 to both sides
x > 5
(X+1)(x+8) in standard form
x²+9x+8
Step-by-step explanation:Rewrite
(x+1)(x+8)
Distribute
x²+8x+1x+8
Simplify
x²+9x+8
Answer:
[tex]x^{2}[/tex] + 9x + 8 i hope this helps! :)
Step-by-step explanation:
distribute the x to the x and 8 [tex]x^{2}[/tex] + 8x
distribute the 1 to the x and 8 x + 8
put the two together [tex]x^{2}[/tex] + x + 8x + 8
combine like terms [tex]x^{2}[/tex] + 9x + 8
Hannah is at an arcade where each game requires her to use 2 tokens. She buys 40 tokens to begin. Let n be the number of games Hannah has played. Find the number of games Hannah has played if she has 16 tokens left.
Answer:
n = 12, she has played 12 games
Step-by-step explanation:
40 = 16 + 2n
24 = 2n
24/2 = n
n = 12
The division is one of the four fundamental arithmetic operations. The number of games that Hannah has played is 12.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Hannah is at an arcade where each game requires her to use 2 tokens. Also, the total number of tokens Hannah has is 40.
Therefore, the number of tokens that Hannah has used is,
Number of tokens Hanna used
= Total number of toke - Number of tokens left
= 40 - 16
= 24
Now, the number of games that Hannah has played is,
Number of games Hannah has played = Number of tokens used / Number of token per game
n = 24 / 2
n = 12 game
Hence, the number of games that Hannah has played is 12.
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A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected. Find the probability that the sample contains exactly one defective item (a) if the sampling is done with replacement. (b) if the sampling is done without replacement.
Answer:
a. 39.55%
b. 44.02%
Step-by-step explanation:
We have the following data:
n = 5
x = 1
p = 5/20 = 0.25
to. If the sampling is done with replacement.
We apply the binomial distribution formula, which is as follows:
P = nCx * (p ^ x) * ((1-p) ^ (n-x))
Where nCx, is a combination, and is equal to:
nCx = n! / x! * (n-x)!
replacing we have:
5C1 = 5! / 1! * 4! = 5
replacing in the main formula:
P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))
P = 0.3955
that is, without replacing the probability is 39.55%
b. if the sampling is done without replacement.
Here it is a little different from the previous one, but what you should do is calculate three cases,
the first was the one at point a, when n = 5 and x = 1
5C1 = 5! / 1! * 4! = 5
the second is when n = 20 and x = 5, this is all possible scenarios.
20C5 = 20! / 5! * 15! = 15504
and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged
15C4 = 15! / 4! * 11! = 1365
In the end, it would be:
P = (5C1 * 15C4) / 20C5
Replacing:
P = 5 * 1365/15504
P = 0.4402
Which means that without replacing the probability is 44.02%
Richard and Linda enjoy visiting Hilton Head Island, South Carolina. The distance from their home to Hilton Head is 813 mi, so the drive takes them days. Richard and Linda travel twice as far the first day as they do the second day. How many miles do they travel each day?
Answer:
distance travelled first day is 542 miles while that travelled on second day = 271 miles.
Step-by-step explanation:
please kindly see the attached files for details
Richard and Linda travel 542 miles on the first day and 271 miles on the second day to reach Hilton Head Island, with the total distance being 813 miles.
Explanation:The student's question pertains to splitting a total distance into two parts, with a given ratio between the two parts. Since Richard and Linda travel twice as far on the first day as the second day, we can let the distance traveled on the second day be x miles. Therefore, the distance they travel on the first day would be 2x miles.
The total distance traveled to Hilton Head is 813 miles, so we can write an equation based on the sum of the distances traveled on both days: 2x (first day) + x (second day) = 813 miles. Simplifying this equation, we have 3x = 813 miles. Dividing both sides of the equation by 3 yields x = 271 miles.
This means that Richard and Linda travel 271 miles on the second day and 2 * 271 miles, which is 542 miles, on the first day. So, the distances Richard and Linda travel to Hilton Head Island on the first and second days are 542 miles and 271 miles, respectively.
What is the mean for this data. Plz explain
Answer:
18
Step-by-step explanation:
Mean is the average of the data.
There is one 7.
Three 9's.
Two 10's
7+9+9+9+10+10=54
There are only 3 numbers with actual data so 6 and 8 don't matter.
54÷3=18
At Sandy's Beauty Salon, a haircut costs $15.00 and a permanent costs $30.00. Which graph represents the amount of revenue the salon will earn in one day for x haircuts?
The amount of revenue Sandy's Beauty Salon will earn in one day for x haircuts is represented by a linear graph.
Explanation:The graph that represents the amount of revenue Sandy's Beauty Salon will earn in one day for x haircuts is a linear graph. This is because the revenue is directly proportional to the number of haircuts. The equation that represents this relationship is y = 15x, where y is the revenue and x is the number of haircuts.
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Select all solutions for the equation (3x + 5)(2x + 8) = 0
Answer:
x=-1.67 or x=-4
Step-by-step explanation:
3x+5=0 and 2x+8=0
3x=0-5 2x=-8,,,divide both sides by 2, the two's cancel then x=-4
3x=5 Divide by 3 to hve x on one side,,, thus the answer is -5÷3=1.666...
Answer:
-5/3 and -4
Step-by-step explanation:
I got it correct.
Find the value of the unknown
Answer:
a= 35°
b=70
c=70
Step-by-step explanation:
if u need explanation comment and I'll explain