MATHEMATICS COLLEGE

What is the coefficient in this expression?
14y - 7
7
y
14
-

Answers

Answer 1
Answer:

Answer:

The answer is C. 14

Step-by-step explanation:

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The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 261.5 and a standard deviation of 67.4 . ​(All units are 1000 ​cells/​μL.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the​ mean, or between 194.1 and 328.9 ​? b. What is the approximate percentage of women with platelet counts between 59.3 and 463.7 ​?

Answers

To solve this problem using the empirical rule, we will use the following percentages:

- Approximately 68% of the data falls within 1 standard deviation of the mean.
- Approximately 95% of the data falls within 2 standard deviations of the mean.
- Approximately 99.7% of the data falls within 3 standard deviations of the mean.

a. To find the approximate percentage of women with platelet counts within 1 standard deviation of the mean, we can use the 68% rule. Since 194.1 is 1 standard deviation below the mean, and 328.9 is 1 standard deviation above the mean, we can say that approximately 68% of the women have platelet counts within this range.

b. To find the approximate percentage of women with platelet counts between 59.3 and 463.7, we can use the 95% rule. Since 59.3 is 2 standard deviations below the mean, and 463.7 is 2 standard deviations above the mean, we can say that approximately 95% of the women have platelet counts within this range.

A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below his mean. How many points below average was this value?

Answers

Using the normal distribution, it is found that this value was 7.5 points below the average.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation\sigma is given by:

Z = (X - \mu)/(\sigma)

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

\mu = 22.5, \sigma = 6.2.

In one game, the number of points the athlete scored was 1.2 standard deviations below his mean, hence Z = -1.2 and the score was of X, so:

Z = (X - \mu)/(\sigma)

-1.2 = (X - 22.5)/(6.2)

X - 22.5 = -1.2 x 6.2

X = 15.

15 - 22.5 = 7.5.

This value was 7.5 points below the average.

More can be learned about the normal distribution at brainly.com/question/24663213

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Answer:

7.44 is the answer

Step-by-step explanation:

Find the slope and y- of the table​

Answers

Answer:

y = (3/2) x +6

Step-by-step explanation:

The y-intercept is clearly at y = 6 point (0, 6) of the table.

The slope can be calculated using any two pairs, for example (-4,0) and (-2, 3)

slope = (y2 - y1)/(x2 - x1) = (3 - 0) / (-2 + 4 ) = 3/2

Then the equations of the line in slope y-intercept form is:

y = (3/2) x +6
the answer is y=(3/2)x+6

Apply the Distributive Property 5(x + 3)

Answers

Answer: 5x + 15

Step-by-step explanation: The distributive property tells us that if we're given an expression such as 5(x + 3), we can multiply the 5 by both the x and the 3 to get 5x + 15.

Answer:

5x+15

Step-by-step explanation:

5*x+5*3

1. Angle AOC has what measurement according to the protractor?

Answers

In order to find the measure of angle AOC, let's start looking at point A.

Point A is in position 180, if we look in the upper numbers, and in position 0, if we look in the lower numbers.

Since it's easier to find the angle if one vertex is at position 0, let's consider position 0° for A.

Then, looking at point C, it is in position 130° in the upper numbers and 50° in the lower numbers.

Since we choose the lower numbers for A, we need to do the same for C.

Therefore A is in position 0° and C is in position 50°.

To find angle AOC, let's subtract both measurements/positions:

\text{AOC}=50\degree-0\degree=50\degree

Therefore angle AOC measures 50°, and the correct option is C.

1. Simplify each of the following fractionsleaving each as an improper fraction, not a whole
number. Do not use your calculator!
4.50
5
3.2
8

Answers

Answers:

9/2

5/1

16/5

8/1
9/2
5/1
16/5
8/1
are the answers
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