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kari74 [83]
3 years ago
11

Determine the solution to the system of equation below, algebraically. 5x+3y=28 x+y=8

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

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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
Find the measure of the arc or central angle indicated ​
artcher [175]

Answer:

230 degrees

Step-by-step explanation:

4 0
3 years ago
Will mark as brainlest PLz help
rosijanka [135]

Answer:

27\pi <em><u>OR</u></em> 84.78

Step-by-step explanation:

find the area using the formula \pi r^{2} and multiply it by \frac{3}{4} because it is three fourths of a circle

8 0
3 years ago
2.<br>2x2 + 2x - 112 factor​
Angelina_Jolie [31]

Answer:

Use order of operation

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x
ololo11 [35]
X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!
4 0
3 years ago
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