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lbvjy [14]
2 years ago
14

Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3

/4 of the book?
Enter your answer as a mixed number in the simplest form by filling in the boxes.
Mathematics
1 answer:
Sedbober [7]2 years ago
6 0

The number of hours it takes Elisabeth to read 3/4 of the book is;  5³/₅ hours

<h3>What are mixed numbers?</h3>

We are told that she reads 15 of her books in 112 hours.

Thus, number of hours to read one book is;

112/15 hours per book

Therefore, number of hours to read ³/₄ of the book is;

³/₄ * ¹¹²/₁₅ = 28/5

As a mixed number is 5³/₅ hours per book

Read more on mixed numbers at; brainly.com/question/10225

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Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46
JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

For this problem, we have that \sigma = 14300, M = 5863. So

M = z\frac{\sigma}{\sqrt{n}}

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

7 0
3 years ago
Graph the point (-10,-7) on the coordinate plane
Anuta_ua [19.1K]
I think that’s right
7 0
3 years ago
I really need help- eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Juliette [100K]

Answer:

-2, -5, 2, then 5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains
liraira [26]

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

5 0
3 years ago
A triangle with the sides 6,8 and 10 . what kind of triangle is it ?
Taya2010 [7]
It would be right-angled Triangle.

You can check for that, by putting the values into Pythagoras Theorem:
H² = P² + B²
10² = 8² + 6²
100 = 64 + 36
100 = 100
L.H.S = R.H.S

As it obeys Pythagoras theorem, It would be a right-angled triangle only, with two small arms (Base  & Perpendicular) and a long arm, opposite to perpendicular (Hypotenuse)!!!

Hope it helped.

6 0
2 years ago
Read 2 more answers
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