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Ray Of Light [21]
3 years ago
14

The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same

age have heights that are also approximately normal, with mean height 69.3 inches and standard deviation 2.8 inches. what is the z-score for a man 72 inches tall? round your answer to 3 decimal places.
Mathematics
1 answer:
Serjik [45]3 years ago
3 0
The number of standard deviations from the mean for a man 72 inches tall is
  Z = (72 -69.3)/2.8 ≈ 0.964
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2 years ago
The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is
aniked [119]

Answer:

10.50°C

Step-by-step explanation:

Given x = 2 + t , y = 1 + 1/2t where x and y are measured in centimeters. Also, the temperature function satisfies Tx(2, 2) = 9 and Ty(2, 2) = 3

The rate of change in temperature of the bug path can be expressed using the composite formula:

dT/dt = Tx(dx/dt) + Ty(dy/dt)

If x = 2+t; dx/dt = 1

If y = 1+12t; dy/dt = 1/2

Substituting the parameters gotten into dT/dt we will have;

dT/dt = 9(1)+3(1/2)

dT/dt = 9+1.5

dT/dt = 10.50°C/s

Hence the rate at which the temperature is rising along the bug's path is 10.50°C/s

7 0
2 years ago
an apple is cut into 10 pieces. 0.8 of the apple is eaten. which fraction ,in simplest form ,represents the amount of the apple
nika2105 [10]
The apple is cut into 10 pieces so each piece is 1/10 of the apple. 1/10=.1; .8=8/10 so 8 pieces are eaten. 2 pieces are left which is 2/10 of the apple which simplifies to 1/5 because 2 and 10 are both divisible by 2. 2 divided by itself is 1 and 10 divided by 2 is 5. So the amount of the apple left in simplest form of a fraction is 1/5.
5 0
3 years ago
Read 2 more answers
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simpl
antoniya [11.8K]

Answer:

(4x + 22) feet

Step-by-step explanation:

Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?

A patio deck = Rectangular in shape

Hence:

The formula for the Perimeter of a rectangle = 2L + 2W

Where

L = Length

W = Width

The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.

The perimeter of the deck =

2(x + 8)feet + 2(x + 3)feet

= (2x + 16) feet +( 2x + 6)feet

= (2x + 2x + 16 + 6) feet

= (4x + 22) feet

Therefore, the perimeter of the deck = (4x + 22) feet

6 0
3 years ago
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Answer: 50%

Step-by-step explanation:

hope this helps !

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