Ask question

Ask question

All categories

3 years ago

13

The volume of a cylinder is 2,200 pie cubic inches. The diameter of the circular base is 10 inches. What is the height of the cy

linder

1 answer:

Elis [28]3 years ago

5 0

Answer:

Step-by-step explanation:

H = V/ pie r^2

H = $\frac{2200pie}{Pie 5^2}$

R= 5 because the radius is half the diameter

Pies cancel out leaving you with:

H = 2200/5^2

H = 2200/25

H = 88

Hope this helps :)

You might be interested in

Solve the problem. The half-life of plutonium-234 is 9 hours. If 50 milligrams is present now, how much will be present in 6 day

MaRussiya [10]

Answer:

4) 0.001

Step-by-step explanation:

The amount (a) present in h hours is ...

a(h) = (initial value)×(1/2)^(h/(half-life))

6 days is 6×24 hours, so the amount remaining is ...

a(6×24) = 50×(1/2)^(6×24/9) = 50/2^16 ≈ 0.001 . . . . milligrams

3 0

3 years ago

One measure of an athlete’s ability is the height of his or her vertical leap. Many professional basketball players are known fo

almond37 [142]

Answer:

(1) P( $\bar X$ < 26 inches) = 0.0436

(2) P(27.5 inches < $\bar X$ < 28.5 inches) = 0.2812

Step-by-step explanation:

We are given that the mean vertical leap of all NBA players is 28 inches. Suppose the standard deviation is 7 inches and 36 NBA players are selected at random.

Firstly, Let $\bar X$ = mean vertical leap for the 36 players

Assuming the data follows normal distribution; so the z score probability distribution for sample mean is given by;

Z = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean vertical leap = 28 inches

$\sigma$ = standard deviation = 7 inches

n = sample of NBA player = 36

(1) Probability that the mean vertical leap for the 36 players will be less than 26 inches is given by = P( $\bar X$ < 26 inches)

P( $\bar X$ < 26) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{26-28}{\frac{7}{\sqrt{36} } }$ ) = P(Z < -1.71) = 1 - P(Z $\leq$ 1.71)

= 1 - 0.95637 = 0.0436

(2) <em>Now, here sample of NBA players is 26 so n = 26.</em>

Probability that the mean vertical leap for the 26 players will be between 27.5 and 28.5 inches is given by = P(27.5 inches < $\bar X$ < 28.5 inches) = P( $\bar X$ < 28.5 inches) - P( $\bar X$ $\leq$ 27.5 inches)

P( $\bar X$ < 28.5) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{28.5-28}{\frac{7}{\sqrt{26} } }$ ) = P(Z < 0.36) = 0.64058 {using z table}

P( $\bar X$ $\leq$ 27.5) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{27.5-28}{\frac{7}{\sqrt{26} } }$ ) = P(Z $\leq$ -0.36) = 1 - P(Z < 0.36)

= 1 - 0.64058 = 0.35942

Therefore, P(27.5 inches < $\bar X$ < 28.5 inches) = 0.64058 - 0.35942 = 0.2812

6 0

3 years ago

6) Find the measure of ∠G.

topjm [15]

Answer:

m<G = 71

Step-by-step explanation:

Find x first

7x + 1 + 6x - 6 + 55 = 180

Combine like terms:

13x + 50 = 180

- 50 - 50

13x = 130

/13 /13

x = 10

Then apply to problem

7 (10) + 1

70 + 1

= 71

8 0

2 years ago

Read 2 more answers

Which of the following represents the cosine of 70 degrees

Westkost [7]

Using a calculator: cos 70 deg = 0.342. Note: it sounds as tho' you were given several answer options. Where are they?

6 0

3 years ago

you sold $105 worth of tickets, but you spilled soda on the record sheet and don't know how many of each tickets you sold. stude

Nina [5.8K]

5x+7y=105
There are four variants are possible
1. You sold 15 adult tickets
2. You sold 7 student tickets and 10 adult tickets
3. You sold 14 student tickets and 5 adult tickets
4. You sold 21 student tickets.

8 0

3 years ago