Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,

z = (x - mean)/Standard deviation

From the information given,

mean = 68

standard deviation = 2.5

The probability that the height of a selected adult is between 63 and 73 is expressed as

$P(68\leq x\leq73)$

For x = 63,

z = (63 - 68)/2.5 = -2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 73,

z = (73 - 68)/2.5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

Therefore,

$P(68\text{ }\leq x\leq73)\text{ = 0.97725 - 0.0}2275\text{ = 0}.9545$

Thus, the percentage of men are between 63 and 73 is

0.9545 * 100 = 95.45%

Rounding up to the nearest percentage, the answer is 95%

8 0

1 year ago

20 POINT QUESTION. EXPLAIN HOW YOU GOT THE ANSWER THANK YOU. I WILL MARK AS BRAINLIEST.

bulgar [2K]

You'll multiply the both incomes and then reduce them to the lowest form.

1/10 * 2/9 = 2/90

Reduce it:

2/90 = 1/45

So the assistant gets 1/45 the income of the athlete.

Hope this helps :)

8 0

4 years ago

1. Find the component form of the vector that represents the velocity of an airplane descending at a speed of 100 mph at an angl

Inessa05 [86]

Answer:

<70.71, -70.71>

Step-by-step explanation:

The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:

horizontal component = module * cos(angle)

horizontal component = 100 * cos(-45)

horizontal component = 70.71

vertical component = module * sin(angle)

vertical component = 100 * sin(-45)

vertical component = -70.71

So the vector in the component form is <70.71, -70.71>

The negative sign of the vertical component means its direction is downwards.

6 0

3 years ago

The graph shows the number of gallons of gas purchased for a particular price. What is the cost of gas per gallon?

azamat

Where is the graph????????????

3 0

3 years ago