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natali 33 [55]
3 years ago
8

Which statement is true?

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

All squares are rectangles.

Step-by-step explanation:

A square is a rectange with equal-length sides.

A rectangle is a parallelogram with right-angle corners.

A parallelogram is a quadrilateral with opposite sides parallel.

A quadrilateral is any 4-sided plane figure, not necessarily convex. Sides are not necessarily parallel, nor are angles necessarily 90°.

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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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Answer:

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

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Formula:

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

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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

\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1  

Hence, hip breadth of 16.1 in. separates the smallest 90​% from the largest 10%.

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