MATHEMATICS COLLEGE

A sphere that has a diameter of 6 what is the volume of the sphere

Answers

Answer 1

Answer:

Answer:

36 pi or 113.04

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

we know the diameter so we need to find the radius

r =d/2

r = 6/2 = 3

V = 4/3 pi (3)^3

V =36 pi

We can approximate pi by 3.14

V is approximately 36 *3.14 or 113.04

Answer 2

Answer:

Answer:

113.1 (113.0973355...)

Step-by-step explanation:

1. Use the sphere volume formula of $(4)/(3)$ π $r^(3)$ .

2. Divide 6 by 2 in order to get a radius of 3.

3. Substitute 3 in for r.

4. Cube the 3, you'll get 27.

5. Multiply 27 by Pi and 4/3.

6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.

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If the absolute value of the correlation is approximately one, then the points lie close to a line that slopes upward or downward?

Answers

Answer:

if it is positive then it goes upward and if negative it goes downward..so if it is approximately 1 then it will be constant or straight...

Dr. Smith wants to use only students with "normal" IQ in his experiment. He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study? You know that the population of IQ scores are normally distributed, have µ = 100, and have σ = 15. (1 point)

Answers

Answer:

Lowest IQ: 89.875

Highest IQ: 110.125

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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

$Z = (X - \mu)/(\sigma)$

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 15$ .

He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study?

The middle 50% is the interval from the 25th percentile to the 75th percentile.

Lowest IQ:

This is the measure in the 25th percentile. That is X when Z has a pvalue of 0.25. So it is $Z = -0.675$

$Z = (X - \mu)/(\sigma)$

$-0.675 = (X - 100)/(15)$

$X - 100 = 15*(-0.675)$

$X = 89.875$

Highest IQ:

This is the measure in the 75th percentile. That is X when Z has a pvalue of 0.75. So it is $Z = 0.675$

$Z = (X - \mu)/(\sigma)$

$0.675 = (X - 100)/(15)$

$X - 100 = 15*(0.675)$

$X = 110.125$

An isosceles triangle has two equal sides called legs and the base. if each leg of the isosceles is 5 times the base and the perimeter is 77 m. What is the lenghth of each side?

Answers

-35
-35
-7

7x5=35
35+35+7=77

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A baseball player leads off the game and hits a long home run. The ball contacts the bat about 5 ft. above the ground with a velocity of 16.0 ft./s. At what time will the ball hit the ground?

Answers

Answer:

16 ft

Step-by-step explanation:

What’s the simplified fraction is equal to 0.17

Answers

Answer:

17/100

Step-by-step explanation:

Step 1:

0.17 = 17/100

Answer:

17/100

Hope This Helps :)

Kayla had 40 minutes left beforebedtime. Then she worked on a
painting for 20 minutes, took a shower
for 8 minutes, and read a book for 10
minutes. How many more minutes are
left before Kayla's bedtime?

Answers

Answer:

2 minutes are left

Step-by-step explanation:

1. Start with 40

2. Subtract 20 from 40 (40-20) to get 20 minutes.

3. Then take 8 minutes from 20 (20-8) to get 12 minutes

4. Lastly, take 10 minutes away from 12 (12-10) to get 2 minutes left.

5. This leaves Kayla with 2 minutes before bedtime.

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A deep-sea diver is in search of coral reefs.he finds a beautiful one at an elevation of -120 4/7feet. While taking pictures of the reef he catches sight of a manta ray. He swims up 25 3/7feet to check it out.what is the diver's new elevation?