Answer:
530.1 cubic feet
Step-by-step explanation:
The volume of a cylinder is calculated with the formula \(V=\pi r^{2}\)\(h\)
You are solving for V, the volume. The diameter of the pool is 15 ft, so the radius is half that, 7.5 ft. That radius will be your \(r\). Your height, which is represented by \(h\), is 3 ft.
Now you must solve the equation.
1. Before you do any multiplication, you must square the radius, because of the order of operations. \(7.5^{2}=56.25\).
2. Now, you can multiply all three numbers together. In case you don't have a pi button, pi is approximately equal to 3.14159. \(\pi *56.25*3\) ≈ \(530.143\).
3. Your last step is to round that value to the nearest tenth. The tenths place is immediately to the right of the decimal. If the number to the right is 5 or larger, you round the 1 up to a 2. in this case, it is not, so your answer is 530.1 cubic feet.
Which of the following inequalities matches the graph
-6x + y<3
0 6x + y < 3
06x - y<-3
The correct inequality is not listed
Answer: #1
Step-by-step explanation: if you look closely at the purple line you will see it falls into (y <3) and yeah
Question 9 1 pts Bottles of cream have a normal distribution with mean 8 ounces. You would stop the process if the containers were being filled incorrectly. What is your alternative hypothesis? a.Ha: u not equal to 8 b.Ha: u > 8 c.Ha: u<8
d. None of the other answers is correct.
The correct alternative hypothesis in this case would be Ha: u not equal to 8, option a. This is because the null hypothesis in this scenario would be that the mean of the bottles of cream being filled is equal to 8 ounces.
The alternative hypothesis, on the other hand, is what we believe to be true if the null hypothesis is proven to be false. In this case, if we were to find evidence that the mean is not equal to 8 ounces, it would lead us to reject the null hypothesis and accept the alternative hypothesis that the mean is in fact different from 8 ounces. Therefore, the alternative hypothesis must be Ha: u not equal to 8, as we are not specifying a direction in which the mean could be different from 8 ounces.Know more about the alternative hypothesis
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Answer: c
Step-by-step explanation: i took the test and got it right sorry if it is wrong hope it helps
if t+6=21, find the value of -2t
Steps to solve:
-2t + 6 = 21
~Subtract 6 to both sides
-2t = 15
~Divide -2 to both sides
t = 15/-2
Best of Luck!
pleaseee help will give most branliest answer if correct
Answer:
D. 7 - 3 = 7
Step-by-step explanation:
hope it helps..
brad and sally made a total of 27 cakes for the school bake sale. brad made 5 more cakes than sally. find the numbers of cakes that sally made
Answer: Sally baked 11 cakes
Step-by-step explanation:
Alright, so you should go about solving this by setting up two equations. We will use b to represent Brad and s to represent Sally:
b+s=27
b=s+5 (because Brad made 5 more cakes than sally)
Solve using systems of equations. I will show the substitution method because it is faster in this scenario:
(s+5)+s=27
Solve for s:
s+5+s=27
2s=22
s=11
So Sally baked 11 cakes, which makes sense because that means that Brad baked 16
Clark mows lawns for $8 each. He is able to mow 3 lawns a day. Part A: Let N represent the number of days Clark mows lawns. Write an expression to show how much money Clark can earn mowing lawns. Part B: Use the expression from Part A to show how much money Clark would earn if he mowed lawns for 7 days.
Answer:
A: $8xN= $25 (N=5 days)
B: $8xN= $56 (N= 7 days)
Step-by-step explanation:
Hope This Helps! ;)
Answer:
8n= $ He makes
Step-by-step explanation:
8 dollars is our unit rate, so it makes sense to multiply it by the N.
The 4 inch radius pizza for $3 or the 8 inch radius pizza for $14 what is the better buy
By unitary method we can say that it is better to buy the 4 inch radius pizza for $3.
According to the given question.
The price of 4 inch radius pizza = $3
And, the price of 8 inch radius pizza = $14
As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Therefore, by unitary method.
Cost of 1inch radius pizza, when the price of 4 inch radius pizza is $3
= 3/4
= $0.75
And the cost of 1 inch radius pizza, when the price of 8 inch radius pizza is $ 14
= 14/8
= $ 1.75
Hence, by unitary method we can say that it is better to buy the 4 inch radius pizza for $3.
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In a survey, 32% of the people chose pizza as their favorite food. The results were reported to within 2% accuracy. What is the maximum and minimum percent of people who chose pizza? Show work
Please help me. It is my first day back to school. I am running on like 2 hours of sleep. Please and thank you. If you show your work you will get brainliest.
Answer:
min is 16, max is 88
Step-by-step explanation:
you start with 100 and subtract 32 due to the amount of people, since 32 percent of people voted, divide 32 by 2
I believe that's the awnser, if not then I apologize
Find the sum.
14 + 42 + 70 + ... + (28n − 14)
Answer:
14n^2.
Step-by-step explanation:
This is Arithmetic with first term a = 14 and common difference d = 28.
Sum of n terms = n/2[2a + (n-1)d]
= n/2(28 +( n -1)28]
= n/2(28 + 28n - 28)
= 14n^2
Answer:
14n²
Step-by-step explanation:
14 = 14 *1
42 = 14 *3
70 = 14 *5
28n -14 = 14*2n - 14 = 14*(2n -1)
14 + 42 + 70 + ........+(28n -14) = 14*1 + 14*3 + 14*5 + ....... + 14*(2n - 1)
= 14 * (1 + 3 + 5 + ......+ (2n-1) )
= 14 * n²
= 14n²
1 + 3 + 5 + .... +(2n -1) -> sum of first 'n' odd numbers.
Formula for finding sum of first 'n' odd numbers = n²
where you have seen something that appears different, but its meaning remains the same?
Answer: The transformation of an object is a great example of how the object can be shown in many different forms but all of the meanings are the same thing.
Step-by-step explanation:
Some of the examples of situations of transformation where the image of the object appear different but they still mean the same thing like
-The rigid transformation of geometric and three-dimensional shapes.
-The transformation of bank notes to an electronic form of money.
-The transformation of liquid water to ice and steam.
-The transformation of cube sugar to granulated sugar.
When you're talking about mathematical terms of transformation, even if the polygon is in many different size and shapes on the graph, it's still technically a polygon.
So if you have seen something that appears different, but its meaning remains the same, it could most likely be a transformation or many other terms.
A student weighs out 0. 0422 g of magnesium metal. The magnesium metal is reacted with excess hydrochloric acid to produce hydrogen gas. A sample of hydrogen gas is collected over water in a eudiometer at 32. 0°c. The volume of collected gas is 43. 9 ml and the atmospheric pressure is 832 mmhg. Using the experimentally collected data, calculate r and the percent error.
The value of r = 9.078.
What is ideal gas law?pv = nrt. The factor “r” in the ideal gas law equation is known as the “gas constant”. r = \(\frac{pv}{nt}\). The pressure times the volume of a gas divided by the number of moles and temperature of the gas is always equal to a constant number.
so the student weights out .0422 grams of the magnesium metal so from here we can calculate that more's, the magnesium that he used, that is the mass of the magnesium over the more mass, which is .024422 over 24 point. That's equal to about .001758. More so also, it says the magnesium metal is react with excessive hydrochloric acid and produce hydrogen gas. A sample of the hydrogen gas is collected over water in a meter at 22 cecr, the volume of clictic gas is 43.9 and mastic pressure. Is that so using the experimental and collected data calculated are in the percent error? So we know the magnesium react with hydrochloride. The reaction ratio is 1 to 2 and we produce 1. More is the hydrogen and 1. More is magnesium chloride. So from this equatium we know that more of the hydrogen that would be produced in this case is equal to the mass of the magnesium here, that's his .001758 more and set way. There's among hydrogen. The temperature is 32 (degree celcius) which we need to convert the unit into kelvin, so it's actually about field 5.15 kelvin and tells you. The volume of the gas is 43.9 in ml, which is .0439 liter and tells you the pressure of the gas is about 832 millimeter. Mercury, which is a 2 times 13332 plus ca, that's equal to about 110922.24 par. So in this case we know p v = n r t.
r = \(\frac{pv}{nt}\)
So p = 110922.24. V = 0.0439 , n = 0.001758 t = 305.15. So let's just do the calculations here.
In this case you will find r=?
Here it's about 9.078.
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Plz help!
Review the work showing the first few steps in writing a
partial fraction decomposition
What are the values of A, B, C, and D?
x+8x- 3/(x^2+5)^2=Ax+B/x^2+5+Cx+D(x^2+5)^2
O A = 0; B = 1; C = -3; D = 3
O A = 0; B = 1; C = 3, D = -3
O A= 1; B = 0; C = -3; D = 3
O A = 1; B = 0; C = 3, D = -3
x3 + 8x – 3 = (AX + B)(x2 + 5) + Cx+D
x3 + 8x – 3 = AX2 + 5AX + Bx2 + 5B + CX + D
Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
PLEASE HELP
Video Game Weather
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the
video game, the computer generates a random integer between 1 and 50. Explain how you could
use this number to simulate the weather in the video game.
I
Answer:
35
Step-by-step explanation:
7 picture frames cost $15 at Harris Teeter. At Food Lion, 9 picture frames cost $17. Which is the better buy?
Answer:
It is better to to buy from At Food Lion
Step-by-step explanation:
At Harris Teeter: 7 picture frames cost $15
Cost per picture frames = Total cost of picture frames / number of picture frames
= $15 / 7
= $2.14 per picture
At Food Lion: 9 picture frames cost $17
Cost per picture frames = Total cost of picture frames / number of picture frames
= $17 / 9
= $1.89 per picture
The cost of pictures frames Amat Food Lion is cheaper than at Harris Teeter
It is better to to buy from At Food Lion
In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval for the population proportion
Answer: 0.49 ± 0.0237
Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:
\(p_{hat}\) ± z.\(\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }\)
\(p_{hat}\) is the proportion:
\(p_{hat}\) = \(\frac{1455}{2957}\)
\(p_{hat}\) = 0.49
For a 99% confidence interval, z = 2.576:
0.49 ± 2.576.\(\sqrt{\frac{0.49(1-0.49)}{2957} }\)
0.49 ± 2.576.\(\sqrt{\frac{0.49*0.51}{2957} }\)
0.49 ± 2.576.(0.0092)
0.49 ± 0.0237
For a 99% confidence interval, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237
Need help fast mathh
Answer:
Greater than or >
Step-by-step explanation:
When you get into the negatives, it is backwards to positives so instead of 10 being greater than 1, with negatives, 1 would be greater than 10. So now figure out what it is for this question. It is > Hope this helps!! ;)
Please answer ASAP will mark brainliest!! XŻ bisects
The measurement of
of X?
Answer:
x = 57
Step-by-step explanation:
XZ divides <WXY into two equal parts. Which implies that:
m<ZXY = m<ZXW
Therefore:
m<WXY = 2(m<ZXY)
m<ZXY = 58°
m<WXY = 2x + 2
Plug in the values into the equation
2x + 2 = 2(58)
2x + 2 = 116
2x = 116 - 2 (subtraction property of equality)
2x = 114
x = 114/2 (division property of equality)
x = 57
Perform the operation and simply answer fully
Answer:
\(\frac{5}{24}\)
Step-by-step explanation:
\(\frac{5x^3}{6}\) × \(\frac{1}{4x^3}\) ( cancel x³ on numerator/ denominator )
= \(\frac{5}{6}\) × \(\frac{1}{4}\)
= \(\frac{5(1)}{6(4)}\)
= \(\frac{5}{24}\)
a cyclist cycles a distance of 30 miles in a time of 2 hours. what is her average speed?
Answer:
Step-by-step explanation:
Your average speed was 15.0 Miles per hour (mph)
What is the percent equivalent of 14.28? A. 1,428% B. 142.8% C. 14.28% D. 0.1428%
Answer:
1428%
Step-by-step explanation:
since 1=100%, in other words, multiplying it by 100, should get you the answer to positive numbers that have the same question. (I don't know about negative) so 14.28x100= 1428. Don't forget to add the percent sign! 1428%
Answer:
1428
Step-by-step explanation:
14.28 x 100
which statements explain that the table does not represent a prbability distribution
A. The probability 4/3 is greater than 1.
B. The probabilities have different denominators.
C. The results are all less than 0.
D. The sum of the probabilities is 8/3 .
The sum of the probabilities is not equal to one, the table does not represent a probability distribution, so option D is the correct answer.
The statement that explains that the table does not represent a probability distribution is D. The sum of the probabilities is 8/3.
This statement explains that the probabilities do not add up to one, which is a requirement for a probability distribution. Therefore, it is not a probability distribution. If a table is given with probabilities and it is required to identify whether it represents a probability distribution or not, we must check the probabilities whether they meet the following conditions or not.
The sum of all probabilities should be equal to 1.All probabilities should be greater than or equal to zero.If any probability is greater than 1, then it is not a probability, so the probability table does not represent a probability distribution.The given probabilities have different denominators, this condition alone is not enough to reject it as probability distribution and is also a common error while creating the probability table.
An event's probability is a numerical value that reflects how likely it is to occur. Probabilities are always between zero and one, with zero indicating that the event is impossible and one indicating that the event is certain.
The sum of the probabilities of all possible outcomes for a particular experiment is always equal to one.The probabilities in the table represent the likelihood of the event happening and must add up to 1.
For example, the probability of rolling a die and getting a 1 is 1/6 because there are six possible outcomes and only one of them is a 1.The probability distribution can be used to determine the likelihood of certain outcomes. The sum of all probabilities must be equal to one.
The probability distribution function is also used in statistics to calculate the mean, variance, and standard deviation of a random variable. A probability distribution that meets the required conditions is called a discrete probability distribution. It is a distribution where the probability of each outcome is defined for discrete values.
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find each missing length. give all answers in the simplest radical form.
Answer:
45°
Step-by-step explanation:
the sum of angles in a triangle is equal 180°
we have been given that one angle equals yo 90° and the other equals to 45°
let "?" be the unknown angle
====> 180° = 90° + 45° +?
? = 180° - (90° + 45°)
? = 180° - 135°
? = 45°
Write equation in slope intercept form of the line that passes through (6,-2) and (12,1).
Write in slope-intercept form, \(y=mx+b\).
\(y=\frac{1}{2}x-5\)
Hope this helps!
Show that the Variance of a Binomial Distribution with
parameters n and p cannot exceed n/2
The variance of a binomial distribution with parameters n and p cannot exceed n/2.
The binomial distribution is characterized by two parameters: n, which represents the number of trials, and p, which represents the probability of success in each trial. The variance of a binomial distribution is given by Var(X) = np(1-p).
To prove that the variance cannot exceed n/2, we can start by analyzing the expression np(1-p). Rearranging the terms, we have np - np^2. Since p^2 is always non-negative, np - np^2 is maximized when p is equal to 0.5 (the midpoint between 0 and 1).
When p is equal to 0.5, the expression np(1-p) simplifies to 0.25n, which is n/4. This implies that the maximum value of the variance is n/4.
Since n/4 is smaller than n/2 for any positive value of n, we can conclude that the variance of a binomial distribution with parameters n and p cannot exceed n/2.
Therefore, the variance of a binomial distribution is bounded above by n/2, indicating that as the number of trials increases, the variability or spread of the distribution is limited.
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Find the lateral area. Round to the nearest thousandths.
Answer:
62.832
Step-by-step explanation:
WILL MARK YOU BRAINLIEST ANSWER AS MANY AS YOU CAN PLZ
Answer:
5) we have the equation:
180(n - 2)/n = 174
<=> n = 60
so the polygon have 60 sides
helpppppppppppp meeeeeeeeeeee pleaseee!!!
Answer:
A. No
Step-by-step explanation:
If a vertical line can be drawn through multiple points in a graph, it is not a function.
I need help with this question
Answer:
the answer is C should be
Step-by-step explanation:
the answer is C should be, I'm in middle school btw
Circle whether the point is a solution to the inequality. Show work to support the answer.2x + 3y > -8 is (-6,2) a solution?Yes/ No
0.75x+4x-5 step by step
Answer:
4.75x-5
Step-by-step explanation:
Answer:
4.75x - 5
Step-by-step explanation:
Step 1: Combine Variables
0.75x + 4x = 4.75x
Simplified - 4.75x - 5