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erma4kov [3.2K]
2 years ago
7

Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how

far has Randy run?
A
1.8 miles

B
2.4 miles

C
2.6 miles

D
3 miles
Mathematics
1 answer:
katen-ka-za [31]2 years ago
4 0

Answer:

D!!!

Step-by-step explanation:

you have to make a table to see that randy has run 3 miles.!!!

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What is the value of the expression below 14 divided by 2
sasho [114]
7! 14/2 is equal to 7
5 0
3 years ago
Read 2 more answers
Three times the differnece of fredicos age and 4, increased by 7, is greater than 37. What are possible values of fredicos age?
Anna11 [10]

Answer:

Possible values of fredicos age satisfy x>14 where x denotes fredicos age.

Step-by-step explanation:

Let x denotes fredicos age.

Three times the difference of fredicos age and 4, increased by 7 = 3(x-4)+7

According to the question,

3(x-4)+7>37\\3(x-4)>37-7\\3(x-4)>30\\x-4>10\\x>10+4\\x>14

So, possible values of fredicos age satisfy x>14

Here, x denotes fredicos age.

6 0
3 years ago
A student started solving the system of equations by elimination and made a mistake in solving x. What is the error?
Lorico [155]
Answer is A.

step 1 , 16 was not multiplied by 9
should be

54x - 9y = 144

5 0
3 years ago
40 + 2b3 when<br> b = 5 and c= 1.2
kramer

9514 1404 393

Answer:

  254.8

Step-by-step explanation:

Substitute the numbers where the variables are and do the arithmetic.

  4c +2b³ = 4(1.2) +2(5³) = 4.8 +250 = 254.8

__

It can also work to let a calculator or spreadsheet do the math for you, once you specify the function.

8 0
2 years ago
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
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