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4 years ago

13

How do I solve problem 10?

1 answer:

Grace [21]4 years ago

6 0

If you extend the line from 1 through the parallel line you create a transversal and a triangle.

Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.

144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.

The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.

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3 years ago

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Is the product of 3/6×5/4 equal to the product of 3/4×5/6? Explain how<br>you known.

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3 years ago

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3 years ago

Which statement best describes how to determine wether f(x)=x^3 +5x+1 is an even function

ira [324]

Answer: second option.

Step-by-step explanation:

By definition, a function is even when:

$f(x) = f(-x)$

Then, knowing this, given the function $f(x)=x^3 +5x+1$ you can substitute $-x$ into this function:

$f(-x)=(-x)^3 +5(-x)+1$

Now you need to simplify the function. Then you get:

$f(-x)=-x^3 -5x+1$

In this case, you can see that:

$f(x)\neq f(-x)$

Therefore, the function $f(x)=x^3 +5x+1$ is not even.

As you observed in the procedure above, the statement that best describes how to determine whether the given function is even is:

Determine is $(-x)^3 +5(-x)+1$ is equivalent to $x^3 +5x+1$

3 0

3 years ago

A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

p(private) be the proportion of alumni of the private university who attended at least one class reunion

Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of public university students who attended at least one class reunion ( $\frac{808}{1311}=0.616$ )

p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

p is the pool proportion of p1 and p2 ( $\frac{808+647}{1311+1038}=0.619$ )

n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

Then z= $\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}}$ =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

6 0

4 years ago