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xxTIMURxx [149]
2 years ago
12

Can someone help me plz?

Mathematics
1 answer:
ra1l [238]2 years ago
6 0

Answer:

ok i dont know this one

Step-by-step explanation:

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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let <em>X</em> = head breadths of men that is considered for the helmets.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:

z=\frac{x-\mu}{\sigma}

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of <em>z</em> for this probability is:

<em>z</em> = -1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of <em>z</em> for this probability is:

<em>z</em> = 1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

5 0
3 years ago
Which of these expressions can you simplify by combining like terms
Tom [10]

Answer:

top right bottom left

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
The data below represents the number of essays that students in Mr. Ji's class wrote. 2,3,5,5,6,7,8,8,11 Which box plot correctl
sweet-ann [11.9K]

Answer:

C

Step-by-step explanation:

2,3,5,5,<u>6</u>,7,8,8,11

6 is the middle line, 8 is the end of the box, and 4 is the beginning of the bow.

Hope this helps.

5 0
3 years ago
Can someone help me please I will really appreciate it
Nataliya [291]
I do not understand ???????????????????
5 0
3 years ago
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Will mark brainliest
Free_Kalibri [48]

Answer:

it is the same

Step-by-step explanation:

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2 years ago
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