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Jobisdone [24]
3 years ago
6

One trip around a running track is 440 yards. One jogger can complete one lap in 8 minutes, the other can complete it in 6 minut

es. How many minutes will pass until the next time both joggers to arrive at their starting point together if they start at the same time and maintain their jogging pace? Are we finding GCF or LCM? List at least 2 clues that helped you decide. Show the work and tell me the solution/answer.
Mathematics
1 answer:
Ivan3 years ago
6 0
We are finding GCM, but that's all i know
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Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Kay [80]

Answer:

y = - 1/4 + 4

Step-by-step explanation:

y = 4x - 7

Slope = 4

Slope of the perpendicular line = -1/4

Point (8,2)

(b) y-intercept: 2 - (-1/4)(8)

= 2 + 2 = 4

4 0
3 years ago
Juan builds a square dog pen that has an area of 100 square feet. He then builds a second pen that has an area of 49 square feet
EleoNora [17]

Answer:

51%

Step-by-step explanation:

Simple. 100-49=51

4 0
3 years ago
Read 2 more answers
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per t
lys-0071 [83]

Answer:

The null and alternative hypothesis for this study are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624

This test is a left-tailed test, so the P-value for this test is calculated as:

P-value=P(z

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

3 0
4 years ago
5. Maria is tracking the number of miles she runs in one week. She is using the track at her
777dan777 [17]

Answer:

0.00310 miles

Step-by-step explanation:

Maria runs 5 m each week. We need to find how miles she run. It means we need to convert meters to miles. The relation between meter and yards is as follows :

1 meter = 1.09361 yards

Also, 1 mile = 1760 yards

It means,

1 mile = 1609.34 m

1 m = (1/1609.34) miles

5\ m=\dfrac{5}{1609.34}\ \text{miles}\\\\=0.00310\ \text{miles}

So, she will cover 0.00310 miles.

6 0
3 years ago
Which statement matches the inequality − 2 &lt; 9?
swat32

Answer: Answer is C.

Step-by-step explanation: It is because positive numbers go to the right, and negative numbers to the left.

Hope that helps :)

8 0
3 years ago
Read 2 more answers
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