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2 years ago

How do i solve this rational expression r-4/5r=1/5r+1

1 answer:

4 0

r - 4/5r = 1/5r + 1

Subtract 1/5r from each side: r - 4/5r - 1/5r = 1

Combine all the 'r' terms on the left side:

   r - 5/5r = 1

   r - r = 1

   0 = 1

There is no value of 'r' that can make ' 0 = 1 ' a true statement.
So the equation has <em>no solution</em>.

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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

you are assembling desserts with a friend together you can make 12 desserts in 5 minutes. how many can you make in 20 minutes?

Sever21 [200]

You can solve this in two ways.

First way:
Let’s find out how many my friend makes in one minute.
12/5=2.4
He makes 2.4 in one minute. Let’s multiply that by 20 to find what he makes in 20 minutes.
2.4•20=48
My friend made 48 desserts.

Second way:
Let’s make a ratio.
12 desserts:5 minutes
X desserts: 20 minutes
Whatever you do to one side, you have to do to the other. Since you are multiplying the minutes by 4, you have to multiply the desserts by 4.
12•4=48

So, my friend made 48 desserts.
Tell me if this helps!!!

3 0

2 years ago

In the same year, the average finishing time for u.s. women was four hours and 41 minutes. What was their average speed in miles

EleoNora [17]

I need to know the distance.

speed= distance/ time

If you want to figure thier speed you need to divide the distance ( miles) by their time ( hours)

3 0

3 years ago

Read 2 more answers

Which statement is true?<br> GRAPHA<br> GRAPH B

WARRIOR [948]

Answer:

Graph B is correct

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

karen is 3 yrs younger than floyd. floyd is 2 years older than maria. marias age is the smallest two-digit number. how old are t

Alinara [238K]

Answer:

Maria is 10, Floyd is 8, and Karen is 5.

Step-by-step explanation:

Having said that Maria's age was the smallest two-digit number, that's ten. (10). If Floyd is 2 years younger then 10-2=8. Karen is 3 years younger, so she would be 8-3=5.

4 0

3 years ago