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padilas [110]
2 years ago
7

Malcolm can run a race at a speed of 6 minutes per mile, while Joshua runs at 8 minutes per mile. In a 10-mile race, how many mi

nutes after Malcolm crosses the finish line will Joshua cross the finish line if they start the race together?
Mathematics
1 answer:
mylen [45]2 years ago
5 0

Answer:

  • 20 min

Explanation:

The time to cross the finish line may be found using the speed vs. time equation:

  • speed = distance / time

From which you can solve for time:

  • time = distance / speed.

Using the last equation, you can find the difference in the times for Malcolm and Joshua, but, since the speed must be expressed in miles per minutes, and the given data are minutes per mile, first you must convert the data.

Miles per minute is the inverse of minutes per mile, so the corresponding speeds are:

  • Malcolm's speed: 1 / (6 min/mile) = (1/6) miles/min

  • Joshua's speed: 1 / (8 min/mile) = (1/8) miles/min

  • Time for Malcom: 10 miles / [ 1/ (6 miles/min) ] = 10/(1/6) min = 60 min

  • Time for Joshua: 10 miles / [ 1/ ( 8 miles/min) ] = 10/(1/8) min = 80 min

  • Difference in times: 80 min - 60 min = 20 min

Hence, Joshua will cross the finish line 20 minutes after Malcolm crosses the finish line.

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Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Wou
alukav5142 [94]

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

7 0
2 years ago
A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees
Daniel [21]
From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360. 
      
                       measure of angle ACB = (24/60)(360)
                         measure of angle ACB = 144°

Thus, the angle measure 144°. 
3 0
2 years ago
In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?
PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠M is 42°.

Step-by-step explanation:

Given that,

                  In ΔMNO, ∠O=90°, ON=65, MO=72, and NM=97.

and we have to find the value of tangent of ∠M.

Diagram of the given triangle is shown below:

Now,

ΔMNO is a right angle triangle, so we can use all the trigonometric ratio.

sin\alpha =\frac{Perpendicular}{Hypotenuse}

cos\alpha =\frac{Base}{Hypotenuse}

tan\alpha =\frac{sin\alpha }{cos\alpha } = \frac{Perpendicular}{Base}

tangent of ∠M = \frac{Perpendicular}{Base}

                         = \frac{ON}{MO}

                         = \frac{65}{72}

                         = 0.90278

∴∠M = tan^{-1} (0.90278)

        = 42.0750° ≅ 42°

Therefore the value of tangent of ∠M is 42°.

4 0
2 years ago
Max is going to order Breakfast Platter up The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind o
storchak [24]

Answer:

48

Step-by-step explanation:

6 0
1 year ago
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The current value of a baseball card is 80 times its original value vv (in dollars). The baseball card is worth $36. Write and s
Eva8 [605]
36 / 80 = original value 
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5 0
2 years ago
Read 2 more answers
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