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2 years ago

CAN SOMEBODY HELP PLS

Mathematics

2 answers:

ruslelena [56]2 years ago

8 0

None of the above is the answer

Sophie [7]2 years ago

5 0

$\frac{9}{ - j}$

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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

A 12 ft. ladder is being placed against a 10 ft.

RideAnS [48]

Answer:

Step-by-step explanation:

Height of wall = 10ft

Length of ladder = 12ft

Angle of elevation be x

Sin x = opp/hyp

Sin x = wall height/length of ladder

Sin x = 10/12

Sin x = 0.83

X = Sin-¹ (0.83)

X = 56.44°

7 0

3 years ago

PLEASE HELP!!!! see attachment below… I bet you cant solve this:

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

(-1) $^{i}$ (5!*5/4!) $^{1/2}$ = - $\sqrt{25}$

(-1) $^{i}$ (5!*5/4!) $^{1/2}$ = $\sqrt{25}$

So the sum of the first 100 terms is zero

3 0

2 years ago

What percent of 56 is 35 shirts

9966 [12]

62.5% of 56 is 35

Divide 35 and 56:
$35 \div 56 = 0.625$

Convert the decimal to a percentage:
$0.625 \times 100 = 62.5$

8 0

3 years ago

Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f

alekssr [168]

Write the set of points from -6 to 0 but excluding -4 and 0 as a union of intervals

First we take the interval -6 to 0. In that -4 and 0 are excluded.

So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0) --- Interval from -6 to 0 but excluding -4 and 0

7 0

3 years ago