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Brut [27]
4 years ago
10

Speed (mph)

Mathematics
1 answer:
nevsk [136]4 years ago
6 0

Answer:

C

Step-by-step explanation:

In this question, we are asked to calculate the interquartile range of the speed values given in the question.

Firstly, we need to order the values of the speed from the lowest to the highest. That would be;

55 58 65 66 70 72 81

Now, we determine the first quartile position which is Q1. That would be (N+1)/2 where N is the number of data points which is 7 according to this question

We have (7 +1)/4= 8/4= 2

The value at the 2nd position counting from left is 58

For the third quartile , Q3, we have 3 * (N+1)/4 = 3 * 2 = 6

The value at the 6th position counting from left is 72

mathematically, the formula for the interquartile range is Q3 - Q1 = 72 - 58 = 14

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The lines whose equations are shown intersects the point (0, -2s)
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3 years ago
What is the solution to the system of equation 2x-y=7<br> Y=2x+3
Veronika [31]
<span><span>4x - y = -4</span>
<span><span>-y = -4 - 4x (subtract 4x from each side)
y = 4 + 4x (divide by -1)
y = 4x + 4 (commutative property of addition to get the x-value in front). 

Now we must plug what we have gotten y to equal into the other equation. If we try to plug what we have rearranged back into the original equation, we don't get anywhere. 

2x - y = -7
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2x - 4x - 4 = -7 (distributive property with -1)
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x = 3/2 (divide by -2). 

You</span></span><span>2x-y=7
Y=2x+3</span><span> have just solved for x! We can now plug what we have found for x into either equation to get what y equals. (If this is truly a system of linear equations, then it will not matter which one we use.) 

2(3/2) - y = -7 (substitution)

6/2 - y = -7 (multiplication)
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y = 10 (division) 

You have just found y! As a point, the solution to this system is (3/2, 10) with the x-coordinate first and the y-coordinate second. If we plug x and y into both equations, we will find that they will make the equations true. This is how we check ourselves. Using both equations: 

4x - y = -4
4(3/2) - 10 = -4 (does the left half equal -4?)
12/2 - 10 = -4
6 - 10 = -4
-4 = -4 (it does); 

2x - y = -7
2(3/2) - 10 = -7
3 - 10 = -7
-7 = -7. </span></span>
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Step-by-step explanation:

there's two 9's

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Step-by-step explanation:

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