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3 years ago

Sally is 10 years old. Her mother is five times older. How old Sally's mom?

1 answer:

8 0

Sally is 10 years old. <span>Her mother is five times older. </span>If this is put into an equation: x = (age of sally)(5)
x = (10)(5)
x = 50 years
Sally's mom is 50 years old.

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The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

3 years ago

Find the value of x.<br>need the answer today please.<br>Thank you.

charle [14.2K]

Answer:

x =8.34654305

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 33 = 7/x

Switching places with the x and the 33

x = 7/ cos 33

x =8.34654305

3 0

3 years ago

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What is the area of this partial circle with a radius of 14 inch

AveGali [126]

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by $\pi r^2$ so insert 14 for the radius.

$14^2\pi$

$196\pi$

divide the area by 2

$98\pi=307.876$

Hope that helps :)

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3 years ago

Lin ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour.

sveticcg [70]

(The second one)
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3 years ago

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Evgen [1.6K]

Answer:

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Step-by-step explanation:

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3 years ago

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