MATHEMATICS HIGH SCHOOL

Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is between 55 and 63? Round your
answer to the nearest tenth of a percent.
O A. 55.9%
O B. 56.9%
O C. 53.9%
O D. 54.9%

Answers

Answer 1
Answer:

Answer:To solve this problem, we need to standardize the values of 55 and 63 to z-scores and then use the standard normal distribution table to find the area between those two z-scores.

The z-score for a value of 55 is:

z = (55 - 62) / 4 = -1.75

The z-score for a value of 63 is:

z = (63 - 62) / 4 = 0.25

Using a standard normal distribution table, we can find that the area to the left of z = -1.75 is 0.0401 and the area to the left of z = 0.25 is 0.5987. Therefore, the area between z = -1.75 and z = 0.25 is:

0.5987 - 0.0401 = 0.5586

To convert this area back to a percentage, we multiply by 100:

0.5586 * 100 ≈ 55.9%

Therefore, the answer is A. 55.9%.

Step-by-step explanation:

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Answers

The algebraic expression for the quotient of 17 & k can be written by knowing which one is the divisor and which one is the dividend. Because 17 comes before the "and", it would be the dividend, and because k comes after the "and", it would be the divisor. So, your expression should look like this:

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Final answer:

The algebraic expression for the quotient of 17 and K is 17/K.

Explanation:

The algebraic expression for the quotient of 17 and K is 17/K. In algebra, division is represented by the forward slash symbol (/). So, when you divide 17 by a variable K, the quotient is expressed as 17/K.

Learn more about Algebraic expressions here:

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Costs change from $240 to $320. what is the percent change? also how do you do this?

Answers

A change from 240 to 320 represents a positive change (increase) of 33.33333333333333% Use the formula found below on this webpage to find the percent change by replacing the given values: Percent change = [(240 - 320) / 240] x 100 = 33.33333333333333 % (increase) Where: 240 is the old value and 320 is the new value. In this case we have a positive change (increase) of 33.33333333333333 percent because the new value is greater than the old value.

Answer:

33.3

Step-by-step explanation:

Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had 1/4 of the total cake.. Write an equation to determine how many pieces of cake (c) there were in total.

Answers

M + T = 9
M = 3
T = 6
Equation:  
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c = 6 * 4 = 24
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1/4 of the cake equal 6 pieces of the cake
There are 6x4=24 pieces of the cake in total.

Three line segments intersect, forming angles with measures of 30,140 and x respectively.What is the value of x

Answers