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zzz [600]
3 years ago
7

A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their

dog’s teeth? Explain.
1 point
50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50
60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60
70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70
100; 9% ≈ 10% and 578 should be rounded up to 1,000; 10% of 1,000 = 100
Mathematics
1 answer:
GenaCL600 [577]3 years ago
0 0

Answer:

9 percent of 578 is 52.02.

Step-by-step explanation:

578/x=100/9

(578/x)*x=(100/9)*x       - we multiply both sides of the equation by x

578=11.111111111111*x       - we divide both sides of the equation by (11.111111111111) to get x

578/11.111111111111=x  

52.02=x  

x=52.02

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  (-1.5, -3.5) and (-1.5, 2)

Step-by-step explanation:

The x-coordinates in increasing order are ...

  -3, -1.5, 5

The distances between pairs of these coordinates are ...

  -1.5 -(-3) = 1.5

  5 -(-3) = 8

  5 -(-1.5) = 6.5

Clearly, any pair with x = 5 is too far away from any pair with a different x-value.

<u>∆x = 1.5</u>

If the distance between pairs is 5.5, then the distance formula tells us the y-coordinate differences for pairs with x-coordinates of -3 and -1.5 must be ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  5.5 = √(1.5^2 +(y2 -y1)^2) . . . substitute known values

  30.25 = 2.25 +(y2 -y1)^2 . . . . square both sides

  √28 = (y2 -y1) . . . . . . . . . . . . . . subtract 2.25 and take the square root

This value is irrational. Clearly none of the y-coordinates is irrational, so there are no point pairs with x-coordinates -3 and -1.5 that are 5.5 units apart.

__

<u>∆x = 0</u>

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The only pair we can find that is 5.5 units apart is ...

  (-1.5, -3.5) and (-1.5, 2).

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