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Furkat [3]
3 years ago
8

Will mark brainliest! Determine whether the rectangles are similar. If so, write the similarity

Mathematics
1 answer:
den301095 [7]3 years ago
4 0
The similarity ratio is 3/5.
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They both are congruent
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A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud
8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

\bar x = 7.10 -- sample mean

\sigma=5 --- sample standard deviation

n = 150 --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

CI = 90\% --- the confidence interval

Calculate the \alpha level

\alpha = 1 - CI

\alpha = 1 - 90\%

\alpha = 1 - 0.90

\alpha = 0.10

Divide by 2

\frac{\alpha}{2} = 0.10/2

\frac{\alpha}{2} = 0.05

Subtract from 1

1 - \frac{\alpha}{2} = 1 - 0.05

1 - \frac{\alpha}{2} = 0.95

From the z table. the critical value for 1 - \frac{\alpha}{2} = 0.95 is:

z = 1.960

Solving (c): Margin of error

This is calculated as:

E = z * \frac{\sigma}{\sqrt n}

E = 1.960 * \frac{5}{\sqrt {150}}

E = 1.960 * \frac{5}{12.25}

E =  \frac{1.960 *5}{12.25}

E =  \frac{9.80}{12.25}

E =  0.800

Solving (d): The confidence interval

This is calculated as:

CI = (\bar x - E, \bar x + E)

CI = (7.10 - 0.800, 7.10 + 0.800)

CI = (6.3, 7.9)

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0
3 years ago
Can you please help me I don't understand
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For #11 you add 54 + 59+ 57+ 54. Then you have 224. Then divide 224 by 4 since there are 4 numbers. Your answer should be 56 inches as the average, or mean.
Remember, when you divide, you divide by the number of all the numbers. I'm trying to make sense but hope this helps!
3 0
3 years ago
What is the result of adding these two equations?
arsen [322]

Answer:

-2x-7y=-4

Step-by-step explanation:

5x+-7x=-2x

-9y+2y=-7y

1+-5=-4

So -2x-7y=-4

6 0
2 years ago
•) Find the sum.<br> -3 1/3 + (-1 2/3)
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Step-by-step explanation:

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