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3 years ago

Factor the sum of terms as a product of the gcf and sum 18+20

Mathematics

1 answer:

tatiyna3 years ago

5 0

2 is the greatest common factor & 18+20=38. So 2×38=76

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The polygons below are similar. Find the value of y.

elena-14-01-66 [18.8K]

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Step-by-step explanation:

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3 years ago

Find the average rate of change for the given function from x = 1 to x = 2.

Akimi4 [234]

Answer:

d. 2

Step-by-step explanation:

The average rate of change is found from ...

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3 years ago

Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alter

Rasek [7]

Answer:

Alan = reject H0

Bill = cannot say

Step-by-step explanation:

Given that Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion.

$H0: p = 0.5 \\Ha: p ≠ 0.5$

(two tailed test at 5% significance level)

Since she rejects null hypothesis p value should have been less than 0.05

when p value <0.05, it is definitely less than 0.10

So at 1% level of significance also the null hypothesis would be rejected.

So Alan also would get the same result as to reject the H0

But about Bill since Bill uses 0.01, we cannot definitely say that p value is less than or greater than 0.01

All we know is that p is less than 0.05

Hence it is impossible to tell from the information for Bill

5 0

3 years ago

Solve the triangle A = 2 B = 9 C =8

VARVARA [1.3K]

Answer:

$\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}$

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

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1 year ago

All of the following factors affect the level of wages except which of the following?

siniylev [52]

There is no picture here. Do you have a picture i can use to better understand the question?

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3 years ago