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3 years ago

14

There are 8 action, 3 comedy, and 5 drama DVDs on a shelf. Suppose three DVDs are selected at random from the shelf. Find each p

robability.
P(2 action, then a comedy), without replacement.

1 answer:

nordsb [41]3 years ago

4 0

8 action, 3 comedy, 5 drama....total = 16 dvd's

P(2 action, then a comedy)...without replacement

8/16 * 7/15 * 3/14 = (8 * 7 * 3) / (16 * 15 * 14) = 168/3360 = 1/20

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Factor -1/4 out of -1/2-5/4y

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When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:

$\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y / \frac{-1}{4})]$

Simplifying:

$\frac{-1}{4}(2 + 5y)$

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3 years ago

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

3 0

3 years ago

What are the next 5 numbers on the following sequence 0, 3, 8, 15, 24

son4ous [18]

Answer:

35, 48 63 80 99

Step-by-step explanation:

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2 years ago

Read 2 more answers

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Archy [21]

I hope this helps you

5 0

3 years ago

The edge length of a cube is changing at a rate of 10 in/sec. At what rate is the cube's volume changing when the edge length is

olya-2409 [2.1K]

Given:

The edge length of a cube is changing at a rate of 10 in/sec.

To find:

The rate by which cube's volume changing when the edge length is 3 inches.

Solution:

We have,

$\dfrac{da}{dt}=10\text{ in/sec}$

We know that, volume of cube is

$V=a^3$

Differentiate with respect to t.

$\dfrac{dV}{dt}=3a^2\dfrac{da}{dt}$

Substituting $\dfrac{da}{dt}=10$ and a=3, we get

$\dfrac{dV}{dt}_{a=3}=3(3)^2(10)$

$\dfrac{dV}{dt}_{a=3}=3(9)(10)$

$\dfrac{dV}{dt}_{a=3}=270$

Therefore, the volume increased by 270 cubic inches per sec.

7 0

3 years ago