MATHEMATICS COLLEGE

On an exam, the mean score is 78 points, with a standard deviation of 6 points. Assuming normal distribution of the scores, approximately what percentage of students received more than 85?A.12% B.17% C.8% D.9% E.None of the above

Answers

Answer 1
Answer:

Answer: A. 12%

Step-by-step explanation:-

Given : In an exam , Mean score : \mu=78\text{ points}

Standard deviation : 6\text{ points}

Let X be a random variable that represents the scores of students.

We assume that the points are normally distributed.

Z-score :z=(x-\mu)/(\sigma)

For x = 85, we have

z=(85-78)/(6)\approx1.17

Then using standard normal distribution table, the probability that the students received more than 85 is given by :-

P(x>85)=P(z>1.17)=1-P(z<1.17)\n\n=1-0.8789995=0.1210005\approx0.12=12\%

Hence, the percentage of students received more than 85 =12%

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Short-term classes: Does taking a class in a short-term format (8 weeks instead of 16 weeks) increase a student’s likelihood of passing the course? For a particular course, the pass rate for the 16-week format is 59%. A team of faculty examine student data from 40 randomly selected accelerated classes and determine that the pass rate is 78%. Which of the following are the appropriate null and alternative hypotheses for this research question?a.H0: p = 0.59; Ha: p ≠ 0.59
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Answers

Answer:

Option b

Step-by-step explanation:

Given that For a particular course, the pass rate for the 16-week format is 59%. A team of faculty examine student data from 40 randomly selected accelerated classes and determine that the pass rate is 78%.

we have to find whether  taking a class in a short-term format (8 weeks instead of 16 weeks) increase a student’s likelihood of passing the course

Since pass rate for 16 weeks is 59% we check whether for 8 weeks is more than this.

So correct null and alternative hypotheses for this research question

would be:

b.H0: p = 0.59; Ha: p > 0.59

Option b is right.

What’s the correct answer for this?

Answers

A(-3,5) to B(8,1)

That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.

d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146

d = √146 = 12.083045973594572

Answer: 12.1

What is the median of this data set 14,18,31,34,44,50

Answers

The median is 31.83

Because:

14 + 18 + 31 + 34 + 44 + 50 = 191

191 / 6 = 31.83 (the median)

If I buy cart 1 containing 350 pairs of shoes, I buy cart 2 containing 1000 pairs of shoes, what is the ratio of cart 1 to 2.

Answers

Answer:

7:20

Step-by-step explanation:

350:1000

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5:20

Ans 5:20

Answer:

7:20

Step-By-Step Explanation:

Cart 1

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Ratio

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and divide both by 5

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If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Help me
Solve 5n = 35.

Answers

Answer:

n=7

Step-by-step explanation:

7 times 5 equals 35.

Answer:

n=7

Step-by-step explanation:

Give:5n = 35

To solve the n. we need to divide both side by 5.

5n/5=35/5

n=7

Find the missing value for each of the following 3 questions 1. 5% of 60 is _____


2. 40% of 500 is _____


3. 75% of 60 is ______

Answers

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:
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