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Yakvenalex [24]
3 years ago
8

Please help this is pre algebra :)

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Step-by-step explanation:

the explanaition of the answer and solution is in the picture, check it out. this is for question 14

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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev
Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 30.05 inches

           \sigma   = standard deviation = 0.2 inches

             n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches)  = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z < 3) = 0.99865

 P(X bar <= 30.25) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches)  = 0.99865 - 0.97725

                                                                                       = 0.0214

                                       

7 0
3 years ago
What is the decimal for 87 24/25
Zinaida [17]
To convert a mixed fraction into a first you need to convert it into an improper fraction.
To do that multiple 87 to 25 and then add 24
If you do that you will get 2199/25
then divide the numerator by the denominator.
87.96 is what you will get if you divdie it correctly
8 0
3 years ago
Hi! how do i find surface area of a cylinder? for some reason i can’t get the right answer
asambeis [7]
SA=2\pi r^2+2\pi rh

Use the formula above to find the surface area of a cylinder.

For the given cylinder the given data is the height (6mi) and diameter (16mi), use the diameter to find the radius:

\begin{gathered} r=\frac{d}{2} \\  \\ r=\frac{16mi}{2}=8mi \end{gathered}

Surface area:

\begin{gathered} SA=2\pi(8mi)\placeholder{⬚}^2+2\pi(8mi)(6mi) \\ SA=128\pi mi^2+96\pi mi^2 \\ SA=224\pi mi^2 \end{gathered}Then, the surface area of the given cylinder is: 224π square miles

5 0
1 year ago
Asian elephants are typically 2.1 feet shorter than African elephants. If an Asian elephant were 9.4 feet tall, how tall would a
amm1812
The elephant would be 11.5 feet tall
7 0
3 years ago
Read 2 more answers
2/3 + 1/2 in simple form fractions
nata0808 [166]
Try and find the common denominator which is 6 since 2×3 is 6 then once u get ur denominator u have to find the numerator which would be 4/6+3/6 And that would equal 7/6 and if you would u would keep it like that but if u would have to change it into a mixed fraction it would be 1 and 1/6

Hoped this helped
3 0
3 years ago
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