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3 years ago

Suppose two angles are supplementary and one of them measures 31 degress what is the measure of the other angle

1 answer:

6 0

Supplementary means it adds up to 180 degrees.
So if one side is 31 degrees, you would need to subtract that from 180 to find the other side.
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180 - 31 = 149
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The other angle would be 149 degrees.

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inessss [21]

×<_ 24 is the answer I believe.

8 0

3 years ago

Find the cosine ratio of angle ?. hint: use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no

Andru [333]

We are given that the angle a is the right angle. So let us work from this.

ab = 12 (the vertical side of the triangle)

bc = 13 (which if drawn can be clearly observed to be the hypotenuse) = the side opposite to angle a

ca = 5 (the horizontal side of the triangle)

Since we are to find for the cosine ratio of angle c or angle θ, therefore:

cos θ = adjacent side / hypotenuse

cos θ = ca / bc

cos θ = 5 / 13

Check out the attached image below for the illustration of the triangle.

6 0

3 years ago

According to the CDC (Centers for Disease Control and Prevention), men who smoke are 23 times more likely to develop lung cancer

Paladinen [302]

Answer:4.968

Step-by-step explanation:

21.6 percent * 23

8 0

2 years ago

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines

storchak [24]

Answer:

The null hypothesis is $H_o: \mu = 4$ .

The alternate hypothesis is $H_a: \mu \neq 4$

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

$H_o: \mu = 4$

At the alternate hypothesis we test if it is different. So

$H_a: \mu \neq 4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that $\mu = 4$

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that $n = 196, X = 4.14$

He knows that the population standard deviation is 0.83 cm.

This means that $\sigma = 0.83$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}$

$z = 2.36$

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0

2 years ago

Which is equivalent to 64 Superscript one-fourth?

Schach [20]

Answer:

2 RootIndex 4 StartRoot 4 EndRoot

Step-by-step explanation:

we have

$64^{\frac{1}{4}}$