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Genrish500 [490]
2 years ago
5

The graph below shows the distance d you run, in miles, as a function of time t, in minutes, during a 5-mile run. Your friend sa

ys that the graph is not continuous because it stops at d = 5, so the graph is discrete. Do you agree? Explain.
The graph is on the right to question 33.
Mathematics
1 answer:
notka56 [123]2 years ago
4 0
The correct answer for this question is this one:

"Y<span>our friend says that the graph is not continuous because it stops at d = 5, so the graph is discrete." Your friend is wrong. The graph is still continuous because the graph shows continuity. The problem only shows the graph at certain t time. This means that the graph can be extended at any t time.</span>
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Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds
Vilka [71]

Answer:

0.6421

Step-by-step explanation:

In this case we have 3 trials and we have 2 options for each one. The driver has or hasn't been under alcohol influence. The probability that the driver has is 0.29 and the probabiility that the driver hasn't is 1 - 0.29 = 0.71

each trial is independent because we are assuming that the population of drivers in between 21 and 25 years old is very big.

The probability that one of them was under alcohol influence can be found by finding the probability that non of them was under alcohol influence because:

1 = p(x = 0) + p(x ≥ 1)

p(x ≥ 1) = 1 - p(0)

The probability that none of them was under alcohol influence is going to be:

0.71×0.71×0.71 = 0.3579

The probability of finding at least one driver that has been under alcohol influence is:

0.6421

4 0
2 years ago
Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorpor
Reptile [31]
<u><em>Answer:</em></u>
b.Each electrician charges a different base fee:

<u><em>Explanation:</em></u>
<u>Each of the equations has two parts:</u>
1- base fee that is independent of any variable (this would be the number that has no variable next to it)
2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

<u>For the first electrician:</u>
y = 25x + 30
base fee = $30
hourly rate = $25

<u>For the second electrician:</u>
y = 30x + 25
base fee = $25
hourly rate = $30

<u>For the third electrician:</u>
y = 25x + 20
base fee = $20
hourly rate = $25

<u>Now, let's check the choices:</u>
<span><u>a.Each electrician charges a different hourly rate:</u>
</span>This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

<span><u>b.Each electrician charges a different base fee:</u>
This is correct as all three base fees are different ($30, $20 and $25)

</span><span><u>c.All three electricians charge the same hourly rate:</u>
This is incorrect as electrician 2 has a different hourly rate

</span><span><u>d. All three electricians charge the same base fee:</u>
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Hope this helps :)</span>
4 0
2 years ago
Read 2 more answers
Evaluate \dfrac14c+3d
Crank

Answer:  \frac{45}{2}

Step-by-step explanation:

<h3> The exercise is: " Evaluate \frac{1}{4}c + 3d when c = 6 and   d = 7</h3>

Given the following expression:

 \frac{1}{4}c + 3d

You can follow these steps in order to evaluate it:

 1. Substitute c = 6 and   d = 7 into the expression provided in the exercise:

  \frac{1}{4}(6) + 3(7)

2. Solve the multiplications. Remember that:

 \frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

Then:

 =\frac{6}{4} +21

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

=\frac{3}{2} +21

4. Solve the addition:

=\frac{3}{2} +\frac{21}{1}

 Since the number 21 has a denominator 1, the Least Common Denominator is:

LCD=2

Then, the sum is:

=\frac{3+42}{2}=\frac{45}{2}

5 0
2 years ago
Read 2 more answers
Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0
2 years ago
Damon and Eddie each had an equal amount of money. Each day Damon spent $18 and Eddie spent $24. When Eddie used up all his mone
Zina [86]
D = $18
E = $24
x - $18 = 120
x = $138
6 0
2 years ago
Read 2 more answers
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