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Maru [420]
3 years ago
7

The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation o

f 2.5 inches what percentage of women are taller than 70.5 inches?
Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

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An oblique prism with a square base of edge length x units has a volume of x3 cubic units. which expression represents the heigh
vovangra [49]

The expression that represents the height of the oblique prism is: 1/2x.

What is the Volume of a Prism?

  • The volume of a prism is defined as the total space occupied by the three-dimensional object.
  • Mathematically, it is defined as the product of the area of the base and the length.

Prism Volume = base area × height of the prism

Given that the oblique prism has:

Volume = 1/2x³ cubic units

edge length = x units

Therefore,

base area = x²

Thus:

1/2x³ = (x²)(height)

Divide both sides by x²

1/2x³ ÷ x² = height

1/2x³ × 1/x² = height

x³/2 × 1/x² = height

height = x³/2x²

height = x/2

Therefore, the expression that represents the height of the oblique prism is: 1/2x.

Learn more about oblique prism

brainly.com/question/20837986

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<u>The complete question is -</u>

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

3 0
2 years ago
Solve the equation formed when f(x) = g(x).
zimovet [89]

Answer:

x=2

Step-by-step explanation:

1/2x+3=5/2x-1

1/2-5/2x=-1-3

-4/2x=-4

-2x=-4

x=-4/-2

x=2

8 0
3 years ago
Find the amplitude and period of the function <br><br> y=3/2 cos(4/3x)
Flura [38]
Amplitude : 2/3
Period : 3pi/2
6 0
3 years ago
Use the parallelogram below to solve for x x , then find the length of all 4 sides. figure
SVETLANKA909090 [29]
Can u show me what the parallelogram below was
6 0
3 years ago
What is the value of the angle ?
Ivan

Answer:

47°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

124° is an exterior angle , thus

77 + ? = 124 ( subtract 77 from both sides )

? = 47°

8 0
3 years ago
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