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3 years ago

What is 0.12¯¯¯¯ expressed as a fraction in simplest form? Enter your answer in the box.

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

I just took the test i should be 4/33

Lesechka [4]3 years ago

6 0

4/33 is correct!
Just took test (:

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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

I neeed helppp please help me

r-ruslan [8.4K]

Answers:

A) The equation is d = 2t
B) Independent variable = time; dependent variable = amount of cookies

=========================================================

Explanation:

The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.

The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.

The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.

6 0

3 years ago

The solution set x ≤ 2 or x ≥ 4 is consistent with an equation of the form

yawa3891 [41]

Answer:

the answer is choice a your welcome

6 0

3 years ago

Jillian is trying out for the cross country team. To make the team, she must run 3 1/2 miles in less than 40 mins. Will Jillian

aliina [53]

Answer:

Yes, Jillian will make it for the team, beacuse it's very easy to run 3.5 miles in 40 minutes. Actually, you can run 5 miles very easily in 40 minutes.

My gratitude attitude-THANKS!

5 0

2 years ago

Write an equation that can be used to calculate d,the distance traveled by Anthony in m minutes.use your equation to determine h

stepladder [879]

Answer:

C I think. Sorry if it's incorrect but I pretty sure it isn't.

3 0

3 years ago