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3 years ago

PLEASE ANSWER ASAP! What is the radius of a sphere if its surface area is 314 square inches? (Use 3.14 for π.)

Mathematics

1 answer:

lina2011 [118]3 years ago

3 0

surface area of a sphere formula: A=4πr^2

314=4 x 3.14 x r^2 => r=5

It's B

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A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.

GenaCL600 [577]

Answer:

1. The probability that x will be more than 25 is 0.6305.

2. The 55th percentile is 26.38.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 26 and standard deviation 3.

This means that $\mu = 26, \sigma = 3$

1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 26}{3}$

$Z = -0.333$

$Z = -0.333$ has a p-value of 0.3695.

1 - 0.3695 = 0.6305.

The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

$Z = \frac{X - \mu}{\sigma}$

$0.125 = \frac{X - 26}{3}$

$X - 26 = 0.125*3$

$Z = 26.38$

The 55th percentile is 26.38.

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3 years ago

Who is Lonely at the current moment....and not busy?

sergejj [24]

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2 years ago

Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea

77julia77 [94]

Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

(x + 21)/n = 4

x + 21 = 4*n

x = 4*n - 21

Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

3*n - 4*n = -21 - 5

-n = -26

n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

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3 years ago

The graph shows the costs of two types of fruit at a store. A graph measuring cost and amount. Two lines, labeled Cherries and A

dybincka [34]

Answer:

Hello! Your answer is less than. (<)

Step-by-step explanation:

I took the test and got it right, proof below!!!!

Hope this helps!! so so sorry if im late! <3

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3 years ago

What is the shortest Hamilton path for the vertex-edge graph?

marin [14]

Answer:

The first one is the answer

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3 years ago