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3 years ago

Form the union for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∪ F ={1, 2, 3, 101, 102, 103, 104}

Mathematics

1 answer:

Yanka [14]3 years ago

8 0

<span>E = {1, 2, 3}
F = {101, 102, 103, 104}

answer
E ∪ F ={1, 2, 3, 101, 102, 103, 104}</span>

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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

A sequence of numbers if 0, 12, 24, 36, 48...<br> Drag tiles to complete the statements.

notsponge [240]

Answer:

60, 72, arithmetic

Step-by-step explanation:

48 + 12 = 60

60 + 12 = 72

An 'Arthimetic sequence' is what is presented in this question.

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3 years ago

Please help ! Easy 7th grade work .

Tpy6a [65]

Answer:

1-9 answers

Step-by-step explanation:

1=-38

2=-25

3=16

4=-4

5=0

6=-34

7=9

8=-7

9=-4

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3 years ago

Read 2 more answers

A migrating bird flies 576 miles in 16 hours.How many miles does it fly in 3 hours

user100 [1]

Answer: It flies 108 miles in 3 hours.

Step-by-step explanation:

576/16 = 36

It flies 36 miles per hour

36 * 3 = 108

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3 years ago

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Lerok [7]

Answer:

The person bikes 20 miles in an hour

Step-by-step explanation:

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