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Marta_Voda [28]
3 years ago
7

The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What

is the area of the rectangle?
Mathematics
1 answer:
denpristay [2]3 years ago
8 0

Answer:

A = 9p² - 25

Step-by-step explanation:

The side lengths were 3p.  5 was added to the length and subtracted from the width.  This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.

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A circle has a circumference of 113.04. What is the diameter of the circle?
Alekssandra [29.7K]

Answer:

56.52

Step-by-step explanation:

because the circumference is double the diameter and the circumference is 113.04 so half of that is 56.52

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What is the equation for an explicit formula
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Evaluate the function when x=−2, 0, and 5. g(x)=3x−2
kipiarov [429]
I hope this helps....

x=-2
g(-2)= 3(-2)-2
= -6-2
g(-2)= -8

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x=5
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5 0
3 years ago
Read 2 more answers
Miranda has 19 pieces of candy. She wants to give an equal number of pieces to her 6 friends. How many pieces of candy will each
yan [13]

Answer:

3 1/6

Step-by-step explanation:

19/6= 3.1666666666666 also known as 3 1/6

check your work by multiplying 3 1/6 by 6 and get 19

3 0
3 years ago
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0
2 years ago
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