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3 years ago

What is the value of x?

Mathematics

2 answers:

Mice21 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

Mekhanik [1.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

72° and 3x are adjacent angles and are supplementary , that is

72° + 3x = 180° ( subtract 72° from both sides )

3x = 108° ( divide both sides by 3 )

x = 36° → C

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Y/x=k

k=24............

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3 years ago

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3 years ago

A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the m

zheka24 [161]

Answer:

a. n= 47

b. n= 128

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.

You need to calculate the sample size to estimate the population with determined error margins.

To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.

The formula of the margin of error (d) is:

d= $t_{n-1: 1-\alpha/2}$ * ( $\frac{S}{\sqrt{n} }$ )

I've cleared the sample size of the formula

$n= (S*\frac{t_{n-1; 1-\alpha /2} }{d} )^{2}$

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.

95% CI

d= 8 pounds

$t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.025} = t_{4;0.975} =2.776$

$n= (19.62*\frac{2.776 }{8} )^{2}$

n= 46.35 ≅ 47

99% CI

d= 5 pounds

$t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.005} = t_{4;0.995} =4.604$

$n= (19.62*\frac{4.604}{8} )^{2}$

n= 127.49 ≅ 128

I hope it helps!

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4 years ago

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sveticcg [70]

Answer:

See attached picture.

Step-by-step explanation:

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This is the graph of the line.

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3 years ago

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3 years ago