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Nataly [62]
3 years ago
13

Gretchen made 189 cookies in 4.5 hours what was her rate in cookies per hour

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer: 42 cookies/1 hour

Step-by-step explanation: Since Gretchen made 189 cookies in 4.5 hours, we set the equation up as 189/4.5. To get cookies per hour, we divide 189 by 4.5, which is 42/1. This means that Gretchen can make 42 cookies in 1 hour.


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The CEO of a large electric utility company claims that 80 percent of his 1,000,000 customers are very satisfied with the servic
Oksana_A [137]

Answer:

Conclusion: The proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

Step-by-step explanation:

To test the claim made by the CEO of a large electric utility company the newspaper must conduct a hypothesis test for one proportion.

<u>Assumption</u>:

The significance level (<em>α</em>) of the test can be assumed to be 5%.

<u>Hypothesis</u>:

H_{0}: The proportion of customers satisfied with the service they receive is 0.80, i.e. p=0.80

H_{a}: The proportion of customers satisfied with the service they receive is different from 0.80, i.e. p\neq 0.80

<u>Decision Rule</u>:

If the <em>p</em>-value of the test is less than the significance level (<em>α</em>) then the null hypothesis may be rejected. But if the <em>p</em>-value  is more than the significance level (<em>α</em>) then we cannot reject the null hypothesis.

<u>Test Statistics:</u>

As the sample size is large, i.e.<em>n</em> = 100 > 30, then according to the central limit theorem sampling distribution of sample proportion will follow the normal distribution.

The test statistic used is:

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

<u>Given</u>:

The <em>p</em>-value of the hypothesis test is computed to be 0.894.

That is:

p-value=0.894>\alpha =0.05

This implies that we fail to reject the null hypothesis at 5% level of significance.

<u>Conclusion</u>:

The null hypothesis was failed to be rejected at 5% level of significance.

Thus, concluding that the proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

4 0
3 years ago
Which lists all the lines that are parallel to line s?
Taya2010 [7]

Answer:

(C)only line u and line v

Step-by-step explanation:

To verify this, the easiest route is using corresponding angles.

See the attached image for the missing angles which we use for the comparison.

The angle at t which is supposed to correspond to 89 degrees on s is 91 degrees. <u>Therefore Line t is not parallel.</u>

Line u and v is parallel because the angle at u corresponds to the angle at t.

<u>Therefore, the correct option is C.</u>

7 0
3 years ago
Read 2 more answers
Match the equivalent expressions.
Arte-miy333 [17]

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

7 0
3 years ago
Need answer for this
anastassius [24]
11 kilometers! hope that helped
6 0
2 years ago
The height of a building in a drawing is 15 inches if the actual height of the building is 165 feet find the scale factor of the
Elenna [48]

Answer:

The scale is 11 feet per one inch.

Step-by-step explanation:

\frac{165feet}{15inches} = 11feet / inch

3 0
2 years ago
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