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3 years ago

Find the volume of the sphere

Mathematics

2 answers:

SpyIntel [72]3 years ago

8 0

The volume of a sphere is
(4/3)πr²
Radius is 9
(4/3)π9²
= 339.12 units³

ioda3 years ago

5 0

Volume of a sphere of radius r is

V = (4/3)πr³

r = 9

V = (4/3)π(9³) = 12(9²)π = 972 π

Answer : 972π cubic units

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Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

<u>Answer:</u>

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

<u>Solution:</u>

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

3 years ago

The temperature in St. Louis is 31 degrees. The temperature in Duluth is -29 degrees. Is the temperature in St. Louis or Duluth

Katena32 [7]

Answer:

The temperature in Duluth is closer to zero

Step-by-step explanation:

-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31

-29<31

8 0

3 years ago

Read 2 more answers

-4(4v-u-6) solve using distributive property

GarryVolchara [31]

Answer:

Step-by-step explanation:

-4 ( 4v - u - 6 )

You will multiply -4 with everything in the parentheses.

-16v + 4u + 24

4 0

3 years ago

A booster club sells raffle tickets • Before tickets go on sale to the public, 120 tickets are sold to student athletes. • After

GaryK [48]

Answer:

The top graph.

Step by step:

Before the tickets go on sale, 120 tickets were already sold.

After that, the tickets sell at a constant rate for a total of 8 hours.

At the end of this time, all the tickets were sold (we have 0 tickets left)

If x (horizontal axis) represents the hours since tickets go on sale, and y (vertical axis) represents the number of raffle tickets sold.

Then, at x = 0, we should already see y = 120

Because we start with 120 tickets sold.

Then, as x increases, the number of tickets sold also should increase, until we get x = 8 hours, where y stops increasing because all tickets are already sold.

Then we should have an increasing line that stops increasing at x = 8 hours.

Then the correct option is the above graph, where we have:

An increasing line.

y = 120 in the vertical axis (y = 120 when x = 0)

3 0

2 years ago

12 is what percent of 96

AysviL [449]

12.5
12=96x/100
x=(100*12)/96
x=1200/96
x=12.5

5 0

3 years ago