Help me out with 1

What is a way to use the properties of similar triangles to find measurements

muminat

Use proportions and use letters for unknown measurements

8 0

2 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

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

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

1. The image below represents the dimensions of

andreyandreev [35.5K]

Answer:

V plus 5 is four

Step-by-step explanation:

dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load.

8 0

3 years ago

What is the value of x in the equation 3 ( 4 x − 6 ) = − 3 ( 5 − 2 x )

valina [46]

Answer: x = 0.3

Step-by-step explanation:

12x-18=-15+6x

6x = 3

x = 1/2 or 0.5

[Corrected]

3 0

3 years ago

Read 2 more answers

The x-coordinate of the plotted point is . The y-coordinate of the plotted point is .

solmaris [256]

X-coordinate: -.50
Y-coordinate: -.55

4 0

3 years ago

Help me out with 1 - 8 please.