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erica [24]
3 years ago
8

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketbal

l player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?
0.13%

0.87%

49.87%

99.87%

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
5 0

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean (\mu)= 70 inches

Standard deviation (\sigma)= 3 inches

Average basket ball player (\bar{X}) = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

Z>\frac{\bar{X}-\mu}{\sigma}\\\\Z>\frac{79-70}{3}\\\\Z>\frac{9}{3}\\\\Z>3\\\\\therefore\ P(Z>3)=1-0.9987=0.0013

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.

Anna007 [38]3 years ago
4 0
Kindly check this link for more details:

Therefore the answer is 0.13% is the <span>approximate percentae of the adult male population who are taller than the average basketball player</span>

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Semenov [28]

Answer:

25,886.01 in²

Step-by-step explanation:

The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)

Area of a circle = πr²

Radius of larger circle = PO = 93.4 in

Area of the larger circle = 3.14*93.4² = 27,391.98 in²

Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9

Area of smaller circle = 3.14*21.9² = 1,505.97 in²

Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²

4 0
3 years ago
You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.
diamong [38]
Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $<span>171,600.00. We will first need to calculate this value.
20% of $</span>171,600.00 = 0.2 * <span>171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
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This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)</span>
8 0
3 years ago
The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in
Deffense [45]

Step-by-step explanation:

The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.

The formula needed to find the minpoints is

(x,y) = (x2 + x1)/2, (y2 + y1)/2

x2 = 3

x1 = 3

y2 = 0

y1 = -7

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The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)

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To determine r^2 you need only take the distance from the center to oneof the endpoints.

r^2 = (3 - 3)^2 + (3.5 - 0)^2

r^2 = 3.5^2

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Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25

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3 years ago
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atroni [7]

Answer:

Step-by-step explanation:

height h = 11 cm

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Mkey [24]

Answer:

7

Step-by-step explanation:

5 0
3 years ago
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