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Yuki888 [10]
3 years ago
10

penny recorded the hours she worked as a waitress and how much money she earned in tips. this scatterplot shows her results. bas

ed on the line of best fit, which of the following statements is true?

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0

Answer: D- “as the number of hours worked increases by 1 hour, the amount of tip money earned increases by $10"

*Explained in my comment previously*

Leokris [45]3 years ago
7 0

Answer:

Alternative D is correct

Step-by-step explanation:

As the number of hours worked increases by 1 hour, the amount of tip money earned increases by 10 dollars. The value 10 is simply the slope of the line of best fit which is calculated as; the change in y/the change in x. Using the two points on the line, we calculate the slope as ; (80-20)/(8-2) =10. The slope measures the change in the y-variable for every unit change in x.

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A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. Ho
myrzilka [38]

Answer:

Distance= 6.6 miles

Bearing= N 62.854°W

Step-by-step explanation:

Let's determine angle b first

Angle b=20° (alternate angles)

Using cosine rule

Let the distance between the liner and the port be x

X² =8.8²+2.4²-2(8.8)(2.4)cos20

X²= 77.44 + 5.76-(39.69)

X²= 43.51

X= √43.51

X= 6.596

X= 6.6 miles

Let's determine the angles within the triangle using sine rule

2.4/sin b = 6.6/sin20

(2.4*sin20)/6.6= sin b

0.1244 = sin b

7.146= b°

Angle c= 180-20-7.146

Angle c= 152.854°

For the bearing

110+7.146= 117.146

180-117.146= 62.854°

Bearing= N 62.854°W

8 0
3 years ago
Must m, in the equation y=mx+b=, always be a positive number?
Nadya [2.5K]

Of course not. 

If the line rises higher as it goes from left to right,
then its slope ( 'm' ) is positive.

If it sinks lower as it goes from left to right,
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Answer:

c) t-test of population mean

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