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MArishka [77]
3 years ago
9

The length of a rectangle is five less than three times the width. The perimeter is 46 inches .Find the length and width

Mathematics
1 answer:
zysi [14]3 years ago
7 0
Let l represent length, and w represent width
l=3w-5

P=2(l+w)
46=2(l+w)
Divided 2 for both side
l+w=23
Now, I substitute l=3w-5 into this equation
3w-5+w=23
4w-5=23
Add 5 for both side
4w=28
Divided 4 for both side
w=7 inches
l=3w-5
l=3(7)-5
l=21-5
l=16 inches. As a result, the length is 16 inches, and the width is 7 inches. Hope it help!
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Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090​% of all males.​ (Accommodating 1
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Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

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

Formula:

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

We have to find the value of x such that the probability is 0.10.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10  

= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10  

=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90  

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

P(z < 1.282) = 0.90

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nirvana33 [79]

Answer:

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