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3 years ago

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

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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