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LenaWriter [7]
3 years ago
11

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

inches) and the standard deviation is 3 inches. Estimate the probability that a randomly-selected male is between 67 and 74.5 inches tall. Express your answer as a decimal. Question 8 options: 0.77 0.23 0.67 0.5
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

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The volume of this regular pentagonal pyramid is 82.5 cubic meters. What is the height of the pyramid?
a_sh-v [17]

the height of the pentagonal pyramid is 5. 70 meters

<h3>Volume of a regular pentagonal pyramid</h3>

The formula for determining the volume of a regular pentagonal pyramid is given as;

V=5/12tan(54°)ha^2

Where

  • a is the base edge
  • h is the height

We have the volume to be;

volume = 82. 5 cubic centers

height = h

a = 5m

Substitute the values

82. 5 = \frac{5}{12} × tan 54 × h ×5^2

82. 5 = 0. 42 × 1. 3764 × 25 × h

Make 'h' subject of formula

h = \frac{82. 5}{14. 45}

h = 5. 70 meters

The height of the pentagonal pyramid is 5. 70 meters

Thus, the height of the pentagonal pyramid is 5. 70 meters

Learn more about a pentagonal pyramid here:

brainly.com/question/16315924

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6 0
1 year ago
I neep help asap deadline 4:00pm
shutvik [7]

Answer: B each charm costs 15 dollars

Step-by-step explanation: because each money increment is 15$ so the answer is $15

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5 0
3 years ago
A rectangular garden has a walkway around it. The area of the garden is 6(6.5x + 2.5). The combined area of the garden and the w
Rasek [7]

According to the information given in the exercise, the following expression represents the area of the rectangular garden:

6\mleft(6.5x+2.5\mright)

And the following expression represents the combined area of the walkway around the rectangular garden and the area of the garden:

6.5\mleft(8x+6\mright)

You can identify that the word "combined" indicates that that expression was obtained by adding both areas.

Knowing the above, you can set up the following equation:

6(6.5x+2.5)+A=6.5(8x+6)

Where "A" is the area of the walkway around the rectangular garden.

Solving for "A", you get the following expression:

\begin{gathered} A=6.5(8x+6)-6(6.5x+2.5) \\ A=52x+39-39x-15 \\ A=13x+24 \end{gathered}

The answer is:

13x+24

7 0
1 year ago
Write a two column proof given
never [62]
Im sorry but im not sure what your asking
8 0
3 years ago
What is the circumference of the circle? Show steps please!
Marina CMI [18]

Area = r^2 x PI

to find r take the square root of the area:

r = √100 = 10

The circumference of a circle is the diameter times PI.

The diameter is 2 times r = 2 x 10 = 20

The circumference = 20PI m

The answer is C.

5 0
3 years ago
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