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Monica [59]
2 years ago
15

Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per

hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Mathematics
1 answer:
iren2701 [21]2 years ago
8 0

Answer:

42 minutes

Step-by-step explanation:

Here we want to calculate the number of minutes ran in total.

Kindly note that;

Time = distance/speed

Her starting speed is 10 miles/hour

but she ran for 12 minutes.

Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour

So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles

Now the rest of distance to run would be ;

5 -2 = 3 miles

She ran 3 miles at a speed of 6 miles per hour.

Time spent here is 3/6 = 0.5 hours which is same as 30 minutes

Total time spent = 30 + 12 = 42 minutes

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A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
2 years ago
The table shows ordered pairs of the function y = 16 + 0.5x . Which ordered pair could be the missing values represented by (x,
lawyer [7]

The <u><em>correct answer</em></u> is:

(8, 20).

Explanation:

We can substitute the values for x in the equation and see if they equal y:

y=16+0.5(0) = 16+0 = 16 ≠ 18. This is not the correct option.

y=16+0.5(5) = 16+2.5 = 18.5 ≠ 19.5. This is not the correct option.

y=16+0.5(8) = 16+4 = 20. This is the correct option.

3 0
2 years ago
Read 2 more answers
In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many
Y_Kistochka [10]
Males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama
6 0
2 years ago
Read 2 more answers
what is the simplified form of the following expression? Assume x is greater than or equal to 0 and y is greater than or equal t
yarga [219]

the given expression is :

2(4√16x) - 2(4√2y) + 34√81x - 4(4√32y)

⇒ 8(√16x) - 8(√2y) + 34√81x - 16√32y  

⇒8×4√x - 8√2y + 34×9√x - 16√16×2y     [∵ √16 = 4 and √81 = 9]

⇒32√x - 8√2y + 306√x - 16×4√2y

⇒(32√x + 306√x) - 8√2y  - 16×4√2y      

⇒338√x -72√2y

4 0
2 years ago
Read 2 more answers
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
ser-zykov [4K]
For this case we have the following equation:
 7x - 10y = 3&#10;
 From here, we must substitute ordered pairs of the form:
 (x, y)
 If the ordered pair satisfies the equation, then it belongs to the line.
 We have then:

 For (8, 5):
 
We substitute the following values:
 x = 8&#10;&#10;y = 5&#10;&#10;7 (8) - 10 (5) = 3&#10;&#10;56 - 50 = 3&#10;&#10;6 = 3
 We observe that the equation is not satisfied and therefore, this point does not belong to the line.
 Since one of the points does not belong to the line, then the equation is not a good model.

 Answer:
 
It is not a good model. One of the points does not belong to the line.
4 0
2 years ago
Read 3 more answers
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