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alexandr1967 [171]
3 years ago
12

Find the distance between the points , 5−7 and , 56 .

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0
The answer is 13 units.
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The ideal size of a first-year class at a particular college is 150 students. The college, knowing from past experiences that on
katen-ka-za [31]

Answer:

6.18% probability that more than 150 first-year students attend this college.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

For each item selected, there are only two possible outcomes. Either it is defective, or it is not. This means that we use concepts of the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 450, p = 0.3

So

\mu = E(X) = np = 450*0.3 = 135

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{450*0.3*0.7} = 9.72

Approximate the probability that more than 150 first-year students attend this college.

This is 1 subtracted by the pvalue of Z when X = 150. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{150 - 135}{9.72}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% probability that more than 150 first-year students attend this college.

7 0
3 years ago
Please please help me
Anastaziya [24]

Answer: For every 7 followers Brianna has Mia has 1 follower

Hope this helps

3 0
3 years ago
Read 2 more answers
If two sides of a triangle have lengths 18 cm and 13 cm the third side must be greater then what and less then what
maw [93]
If you multiple 13 18=234 then subtract that by 13 18 203 that would be the area so 13 is less than 18
7 0
3 years ago
Write an algebraic equation: Three-fifths of a number increased by seven is twenty-two.
IRINA_888 [86]

Answer:

hmm, let me think some more

Step-by-step explanation:

4 0
3 years ago
Using the table below, what percent of homes use electric to heat their homes and live inside city limits?
Ket [755]

Answer:

21%

Step-by-step explanation:

To find what percent a number (Number A) is of another number (Number B), you divide Number A by Number B. Then you move the decimal point two places to the right.

35 / 165 = 0.21212121212

Move the decimal over.

21.212121212

Round it.

8 0
2 years ago
Read 2 more answers
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