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4 years ago

DOUBLE POINTS (Algebra II) please help !!

Mathematics

1 answer:

inna [77]4 years ago

4 0

Answer:

Step-by-step explanation:

Those straight lines that seem as brackets are not brackets...but they are a sign called the modulus,which mean that if the value inside has to be multiplied by a negative...so hence..onto the solution;

| 4(-2) - 8 | + | -1 - (-2)^2 | + 2(-2)^3

; | -8 - 8 | + | -1 -4 | + (-16)

; |-16| + |-5| -16

; 16 + 5 - 16

;Therefore answer, 5

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(a) The probability that a study participant has a height that is less than 67 inches is 0.4013.

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The complete question is: In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.5 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant selected at random is less than inches tall is nothing. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 67 and 71 inches. The probability that the study participant selected at random is between and inches tall is nothing. (Round to four decimal places as needed.) (c) Find the probability that a study participant has a height that is more than 71 inches. The probability that the study participant selected at random is more than inches tall is nothing. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.

We are given that the heights in the 20-29 age group were normally distributed, with a mean of 67.5 inches and a standard deviation of 2.0 inches.

Let X = the heights of men in the 20-29 age group

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

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The above probability is calculated by looking at the value of x = 0.25 in the z table which has an area of 0.5987.

(b) The probability that a study participant has a height that is between 67 and 71 inches is given by = P(67 inches < X < 71 inches)

P(67 inches < X < 71 inches) = P(X < 71 inches) - P(X $\leq$ 67 inches)

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The above probability is calculated by looking at the value of x = 1.75 and x = 0.25 in the z table which has an area of 0.9599 and 0.5987 respectively.

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