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elena55 [62]
4 years ago
7

Assume that women's heights are normally distributed with a mean given by , and a standard deviation given by . μ = 63.5 in σ =

2.8 in (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) if 33 women are randomly selected, find the probability that they have a mean height less than 64 in.
Mathematics
1 answer:
tresset_1 [31]4 years ago
8 0
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714

B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
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4 0
3 years ago
Please help! Simplify -4/3 divided by 2/-6
love history [14]

Answer:

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Step-by-step explanation:

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4 years ago
Kelly and Max run a race. Max takes 42 seconds to run the race. She is 7 seconds faster then Kelly. How many seconds does Kelly
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4 years ago
Read 2 more answers
A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 pl
Nutka1998 [239]

Answer: The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.

8 0
3 years ago
Yall its not 18 it is 15.5 i did the math and calculated it to find the anwser
madreJ [45]

Answer:

ok thx?

Step-by-step explanation:

3 0
3 years ago
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