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AlexFokin [52]
3 years ago
15

A piece of licorice is to be cut into 10 equal size pieces . If the length of the piece of licorice is 2/3 yard, how long will e

ach piece of licorice be?
Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
The first thing to do is turn this into an equation: 
2/3 ÷ 10 

10 as a fraction is 10/1
2/3 ÷ 10/1 = 

Fractional division is just fractional multiplication after switching the numerator and the denominator of the second fraction: 
2/3 X 10/1 

Fractional multiplication is simply multiplying the numerators by each other, and the denominators by each other: 
2 X 10 = 20
3 X 1 = 3

20/3

Each piece of liquorice will be 20/3 or 6 2/3 of a yard long. 

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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
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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)  

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= 1 - P(z \leq 23.29)

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

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

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4 0
3 years ago
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