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3 years ago

Help please with these:

Mathematics

1 answer:

liq [111]3 years ago

3 0

Answer:

18/36 in simplest form is 1/2.

1 5/8 to an improper fraction is 13/8

19/5 to mixed fraction is 3 4/5 in simplest form

Step-by-step explanation:

18 and 36 in share a common denominator of 18. 18 divided on 18 is 1. 36 divided on 18 is 2. so 1/2 is equivalent to 18/36.

1 5/8 equals one whole (8) plus 5. 8 + 5= 13. 13/5 is your answer

19 divided on 5 is 3.8. 3.8 converted to a fraction is 3 and 0.75. 0.75 in fraction form is 4/5. your answer is 19/5 = 3 4/5 or 3 and 8/10.

If this was correct then mark as brainliest.

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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

Luis has $20.He buys 4 cans of tennis balls and gets $8 back as change .How much did one can of tennis balls cost?

WARRIOR [948]

Answer:

20-8 = 12 , he waste $12 if he got 4 cans 12 divide by 4 equal 3 so the one can cost $3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

PLZ HURRY WILL MARK BRAINLIEST The stem and leaf plot shows the number of points a basketball team scored each game during its 1

oee [108]

Answer:

5 games

Step-by-step explanation:

To find how many games the team scored at least 70 points, we need to look at the 7 on the stem side. The 7 means 70, and we add the digits on the leaf side. For example, 7 | 2 is 72. The numbers on the leaf side are: 1, 1, 2, and 3.

There are no points for the 8 on the stem side, but on 90, there is one digit on the leaf side: 1. So, the points they scored over 70 are 71, 71, 72, 73, and 91, which equals to five games.

7 0

3 years ago

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in the figure given alongside, AB is the diameter of circle with centre O. If <COD=50°, find the size of <CED.

Ksju [112]

Answer:

Step-by-step explanation:

code in parm so the angle o is equal to e

that is a property of the parm

5 0

2 years ago

Solve for x.<br>A. x =9<br>B. x = 3<br>C. x = 4<br>D. x = 27

meriva

Your formula for this is $9^{2} =x(24+x)$ and $81=24x+ x^{2}$ . Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.

8 0

3 years ago