MATHEMATICS COLLEGE

Mathematics achievement test scores for 300 students were found to have a mean and a variance equal to 600 and 3600, respectively. (a) If the distribution of test scores was mound-shaped, approximately how many of the scores would fall into the interval 540 to 660? (Round your answer to the nearest whole number.)
(b) Approximately how many scores would be expected to fall into the interval 480 to 720? (Round your answer to the nearest whole number.)

Answers

Answer 1
Answer:

Answer:

(a) Approximately 205 students scored between 540 and 660.

(b) Approximately 287 students scored between 480 and 720.

Step-by-step explanation:

A mound-shaped distribution is a normal distribution since the shape of a normal curve is mound-shaped.

Let X = test score of a student.

It is provided that .

(a)

The probability of scores between 540 and 660 as follows:

Use the standard normal table for the probabilities.

The number of students who scored between 540 and 660 is:

300 × 0.6826 = 204.78 ≈ 205

Thus, approximately 205 students scored between 540 and 660.

(b)

The probability of scores between 480 and 720 as follows:

Use the standard normal table for the probabilities.

The number of students who scored between 480 and 720 is:

300 × 0.9544 = 286.32 ≈ 287

Thus, approximately 287 students scored between 480 and 720.


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Streaming movies from Company A costs $3 per movie plus a monthly fee of $9. Streaming movies from Company B costs $4 per movie with no monthly fee. The monthly cost to stream movies depends on the number of movies, m streamed. Which inequality represents the situation when the monthly cost at Company A is less than the monthly cost at Company B?

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Answer: 9 + 3 m < 0 + 4 m  or  9 < m

Step-by-step explanation:

Here m represents the number of movies at which the monthly cost of the company A is less than that of company B.

For company A, The monthly cost = $ 9

And, cost per movie = $ 3 ⇒ Cost of m movies = 3 m

Therefore, total cost in company A for m movies = 9 + 3 m

Now, For company B, The monthly cost = $ 0

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Therefore, total cost in company B for m movies = 0 + 4 m

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Answers

First find a parameterization for the curve of intersection.

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Answers

Answer:

Square root of 8.

Step-by-step explanation:

Given:

Number given : 2 to the power of 3 over 2 equal ...

Using the laws of exponent:

We know that:

⇒  and

So,

According to the question:

2 to the power of 3 over 2  =

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This can be re-written as:

⇒ and that is equivalent to    as  ...

Square root of 8 is our final answer.

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Answers

Answer:

24 books.

Step-by-step explanation:

The number of books that that can be fitted into the shelf is equal to the width of the self divided by the width of each book:

Answer: 24 books.

Step-by-step explanation: To find the answe you would do 36 divides by 1.5 and get 24.

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Answers

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Answers

Answer:

Therefore the probability of Maria scoring on her next shot is .

Step-by-step explanation:

i) Maria scored two goals and missed on her other six shots.

ii) Maria took a total of eight shots on the goal.

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Answers

Answer:

20 minutes

Step-by-step explanation:

Manila walked home in 30 minutes. She walks 4 miles an hour. Since 30 minutes is half an hour then its half the distance of the rate. 4/2 = 2 miles. This means home is 2 miles away.

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Ken watches a marching band. He sees 2 rows of flute players. Six people are in each row . He sees 8 trombone players. How many flute players and trombone players does Ken see?

Answers

The number of flute players is determined by multiplying the number of rows and the number of people in each row. This is as shown below.
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The total number of flute players and trombone players can be calculated as shown below,
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ANSWER: 20 people
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Step-by-step explanation:

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