Mathematics, 23.03.2020 17:53 castilloitc1120

In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation of 3.1 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice.

Answers: 3

Show answers

Answers

Answer from: ponyolovezsosuk1074

The 75-inch man has the higher z-score, so he is relatively taller.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who is taller?

Whoever has the higher z-score.

75-inch man

In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation of 3.1 inches.

This means that $\mu = 69.8, \sigma = 3.1$ .

We want Z when X = 75.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 69.8}{3.1}$

Z = 1.68

70-inch woman

The average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches.

This means that $\mu = 64.1, \sigma = 3.9$

We want Z when X = 70.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{70 - 64.1}{3.9}$

Z = 1.51

The 75-inch man has the higher z-score, so he is relatively taller.

Answer from: Quest

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = $\frac{-8+3}{4-7}$ = - $\frac{5}{3}$

y = - $\frac{5}{3}$ x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - $\frac{20}{3}$ + c ⇒ c = - $\frac{4}{3}$

y = - $\frac{5}{3}$ x - $\frac{4}{3}$ ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

Answer from: Quest

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Data are collected to see how many ice-cream cones are sold at a ballpark in a week. day 1 is sunday and day 7 is the following saturday. use the data from the table to create a scatter plot.

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Select the graph of the solution. click until the correct graph appears. |x| = 3

Answers: 2

Answer

Mathematics, 22.06.2019 02:30

Aline passes through the points (5,4) and (2.1). part a.) what is the slope of the line that passes through these points? show work. part b.) what is the equation of the line that passes through these points. show work. part c.) where does the line intercept on the x& y axis? show work

Answers: 1

Answer

You know the right answer?

In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation...

Questions