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Oksi-84 [34.3K]
3 years ago
7

Can someone help please

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

42

138

42

48

Step-by-step explanation:

For the first answer, it is a vertical angle to the 42 degree angle which is defined, meaning that they are equal

The second answer is a supplement of the 42 degree angle, which add up to 180 degrees, 180-42=138

The third angle is an opposite interior angle to the 42 degree one, meaning they are equal

And for the final answer, the 42 degree angle we just found and it are complementary, so they add up to 90 degrees, 90-42=48

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42divided by 336 that is it



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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
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Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

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3 years ago
A right triangle is shown. A is 60 degrees. C is 90 degrees. BC is 12. What is the measurement of side ABC
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C. 90 degrees

Step-by-step explanation:

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Today, Victor practice piano for 4/9 hour in the m
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the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi
emmasim [6.3K]

Answer:

<em>Area = 254.34 inches ³</em>

Step-by-step explanation:

The formula to find the surface area of a sphere is:

SA = 4\pi r^{2}

To find the volume of the sphere, we first need to figure out the radius (r) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. (1017.36 in^{2})

SA = 4\pi r^{2}

1017.36 = 4\pi r^{2}

Divide both sides by pi (3.14).

1017.36 = 4\pi r^{2}

324 = 4 r^{2}

Divide both sides by 4.

324 = 4 r^{2}

81 = r^{2}\\

Find the square root of both sides.

81 = r^{2}\\

\sqrt{81} = r

<em>radius = 9</em>

<em />

Insert the value of the radius into the formula for finding the volume of a sphere. (A=\pi r^{2})

(A=\pi r^{2})

A=\pi (9)^{2}

A=\pi (81)

A = 254.34

<em>Area = 254.34 inches ³</em>

<em />

~Hope this helps!~

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3 years ago
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