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Iteru [2.4K]
3 years ago
12

Student finished 8 homework problems. If the ratio of the problems she finished to the problems she had left was 4:1 How many ho

me work problems did she have total
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0
Answer: 10 


Explanation: 

Problem finished : Problem left = 4 : 1

 4 : 1 ===> (x2) ===> 8 : 2 

Problem finished : Problem left = 8 : 2

Total homework = 8 + 2 + 10
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What number should be added to 18 to get a sum of −97?
NARA [144]

x  + 18 =  - 97 \\ x =  - 115
Answer: -115 should be added to 18 to get a sum of -97.

Hope this helps. - M
6 0
4 years ago
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
3 years ago
HELP ASAP !!! <br> Which of the following are identities? Check all that apply.
anastassius [24]

Answer:

A,CAND D

Step-by-step explanation:

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6 0
3 years ago
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Real life examples of mean median and mode​
Cerrena [4.2K]

Answer:

For example, if you wish to find the average grade on a test for your class but one student fell asleep and scored a 0, the mean would show a much lower average because of one low grade, while the median would show how the middle group of students scored.

Step-by-step explanation:

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A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
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Hi!

Use The Percentage Formula To Solve:

385 ÷ 550 * 100 = 70

Mark pays 70% of the original price.
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3 years ago
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