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2 years ago

381.10-214.43 equals

Mathematics

1 answer:

dmitriy555 [2]2 years ago

3 0

Answer:

166.67

Step-by-step explanation:

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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

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2 years ago

Which statements are true about exponential decay functions check all that apply

melomori [17]

This is the concept of exponential functions; The statements that are correct about the exponential decay functions are:
1. The domain is all real number
4. The base must be less than 1 and greater than 0
5. The function has a constant multiplicative rate of change

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1 year ago

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A cube shaped packing box like the one shown below is used to pack a stack of Dinner Plates. if the volume of the box is 1,000 c

fgiga [73]

The correct answer is Choice B: 31.4.

If the volume of the cube is 1000, that means that the width of the box would be 10. That would also be the diameter of the largest plate that fits in the box.

Using 10 as the diameter, we can find the circumference, by multiplying it by pi.

C = pi x diameter
C = 3.14 x 10
C = 31.4

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1 year ago

Determine the 20th derivative of y = sin(2x).

snow_lady [41]

1st derivative = 2 cos (2x) 2nd derivative = -4sin(2x) 3rd = -8 cos(2x) . . . 20th derivative= 2^20 sin(2x)

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2 years ago

A regional bus between Fort Collins and Denver mostly uses the high-occupancy vehicle (HOV) lane but it does have to cross two i

Liula [17]

Answer:

0.058 is the required probability.

Step-by-step explanation: