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algol13
3 years ago
13

1) The scatter plot below shows the distance Destiny traveled on her cycling trip for various lengths of time during the trip. W

hat equation could describe the line of best fit for the scatter plot?
2) Estimate an equation for the line of best fit for the following scatter plot for the post high school education and salary


please show your work

Mathematics
1 answer:
prisoha [69]3 years ago
4 0
To determine the equation of the best fit line, the graphical approach can be done. A line is used in between the given points. Then, the slope and the y-intercept of the line is determined to give us the equation. The equations of two scatter plots are
y = 0.22 x + 0.46
y = 8x + 8.25<span />
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Multiply 5 by 9.8 to get the answer.
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Juan's income y consists of at least $37,500 salary plus 5% commission on all of his sales x. which inequality represents juan's
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Read 2 more answers
At midnight, the temperature was 30 degrees F. By 6:00 a.m., it had dropped 5 degrees and by noon, it had increased by 11 degree
spayn [35]

Answer: 36 degrees


Step-by-step explanation:

subtract 5 from 30=25

add 11 to 25

25+11=36



3 0
3 years ago
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8 0
3 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
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