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1 year ago

A circle is drawn to represent a pizza with a 12

Mathematics

1 answer:

fredd [130]1 year ago

3 0

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

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Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of

Alexxx [7]

Answer:

a) 0.018

b) 0

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.4 in

Standard Deviation, σ = 1 in

We are given that the distribution of breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

$P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)$

$= 1 - P(z \leq 2.1)$

Calculation the value from standard normal z table, we have,

$P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%$

0.018 is the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected men, these men have a mean hip breadth greater than 16.5 in)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(x > 16.5)

$P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)$

$= 1 - P(z \leq 23.29)$

Calculation the value from standard normal z table, we have,

$P(x > 16.5) = 1 - 1 = 0$

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

4 0

3 years ago

The area of a rectangle is 42 square millimeters. The length is 7 millimeters. What is the perimeter of the rectangle?

Aleks [24]

Answer:

26 mm

Step-by-step explanation:

A=wl= 42 mm²

l=7, w= 42/7= 6 mm

P=2(l+w)= 2(7+6)= 26 mm

8 0

3 years ago

Help me with this question

Arturiano [62]

A) 60q/12
b) set ^ this equation equal to the one on the paper, move the variable to one side, and the rest should be easy from there
c) he loses profits

8 0

2 years ago

First and second place in the contest use a ratio to share a cash prize when first place pays $100 second please pay $60 how muc

Talja [164]

100/60 = x/36

Cross Multiply

3600 = 60x

x = 60

First place pays $60 when second place pays $36.

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4 0

3 years ago

Interpret the meaning of 10 (55x) + 500

Sati [7]

Answer:

Using the formula, write in standard form. 10,55x+500

Step-by-step explanation:

3 0

3 years ago