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den301095 [7]
2 years ago
12

Lauren and Aidan left their offices at 6:15 p.m. and drove to meet at a restaurant the same distance away from their offices for

dinner.
Lauren drove at a constant speed of 39 miles per hour.
Aidan drove at a constant speed of 42 miles per hour.
Aidan reached the restaurant at 6:35 p.m.
How far away was Lauren from the restaurant when Aidan reached? PLEASE EXPLAIN
Mathematics
1 answer:
klasskru [66]2 years ago
8 0
Lauren arrived at 6:48pm. why? each mile is one (1) minute, if Aidan got at the restaurant at 6:35 at 42mph and lauren was at 39mph add 3 which would make that 42 and yea
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Please Help! WILL GIVE BRAINLIEST​
Ludmilka [50]

Answer:

{-1, 0, 1, 2}

Step-by-step explanation:

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3 years ago
What is the slope of the line containing the points (1,10) and (-3,10)
PIT_PIT [208]

Answer:

0

Step-by-step explanation:

Slope is Rise over Run (y / x).

For 2 points, you would take the difference of y-coordinates and divide by the difference of x-coordinates.

(Y1 - Y2) / (X1 - X2)

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7 0
3 years ago
The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was wa
AleksandrR [38]

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

5 0
3 years ago
8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components
Taya2010 [7]

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

V(X) = np(1 - p)

In this problem:

  • 95% pass final inspection, hence p = 0.95
  • 120 components are inspected in one day, hence n = 120.

The variance is given by:

V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
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