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Sladkaya [172]
2 years ago
9

What is the total area of this polygon? O 77 sq cm O 86 sq cm 96 sq cm O 108 sq cm​

Mathematics
1 answer:
Oksanka [162]2 years ago
7 0

Answer:

Step-by-step explanation:

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A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teache
trapecia [35]

Answer:

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1  be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

H_{0}: p2=p1

H_{a}: p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of high school teachers who were single (\frac{36}{180} =0.2)
  • p is the proportion of elementary teachers who were single (\frac{15}{100} =0.15)
  • N is the sample size (180)

Using the numbers, we get

\frac{0.2-0.15}{\sqrt{\frac{0.15*0.85}{180} } } ≈ 1.88

Using z-table, corresponding  P-Value is ≈0.03

Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)

8 0
3 years ago
Simply 6 square root of 45
storchak [24]

Answer:

40.24922.........

Step-by-step explanation:

7 0
3 years ago
ect the best answer for the question. 3. Rewrite the equation x + y + 3 = –2x + 4y + 18 into standard form (ax + by = c). A. 3x
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Answer:

B

Step-by-step explanation:

To rewrite the equation x + y + 3 = -2x + 4y + 18, first combine like terms.

x + y + 3 = -2x + 4y + 18

3x - 3y + 3 = 18

3x - 3y = 15

This is the standard form.

It can also be simplified by dividing each term by 3 to x - y = 5.

5 0
3 years ago
Tricia Measured the snow falling and Ledge on her window. In 30 minutes the snow increase from 1/4 inch to 3/4 of an inch. By ho
VashaNatasha [74]
C, because of 1/2 = 2/4. 2/4 plus 1/4 equals 3/4.
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3 years ago
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Is 2 hours and 30 minutes more or less than 10% of a day?
masha68 [24]
More then 10% of the day
8 0
3 years ago
Read 2 more answers
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