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andrey2020 [161]
2 years ago
6

2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the

points used to determine the slope and how the equation was determined.

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

y=x

Step-by-step explanation:

By using the (y2-y1)/(x2-x1), you can find y=mx+b

Points: (30,30) and (60,60)

(60-30)/(60-30)= 30/30=1

Your m value (slope) is 1.

For the y-intercept, your value is 0

The full answer is y=x

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A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to
Allisa [31]

Answer:

c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)

53.45= 39.95 +0.15 (s +63) (use the distributive property)

53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)

53.45 = 49.40 +0.15s (subtract 49.40 from both sides)

4.05 = 0.15s (divide both sides by 0.15 so isolate s)

s= 27 (how many text messages were sent)

Step-by-step explanation:

I hope this helps :)

3 0
3 years ago
Read 2 more answers
Suppose that poaching reduces the population of an endangered animal by 6​% per year. Further suppose that when the population o
artcher [175]

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*(1-0.06)^{n}

20=1500*0.94^{n}

20/1500=0.94^{n}

0.133=0.94^{n}

take log both sides

log(0.133)=log0.94^{n}-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

Learn more about logarithm at brainly.com/question/25710806

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8 0
2 years ago
The following stem-and-leaf plot represents the test scores for
rewona [7]

Considering the given stem-and-leaf plot, the quartiles are given as follows:

  • The first quartile is of 67.5.
  • The second quartile, which is the median, is of 84.5.
  • The third quartile is of 91.5.

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.

There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:

Me = (83 + 86)/2 = 84.5.

The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:

Q1 = (67 + 68)/2 = 67.5.

The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:

Q3 = (91 + 92)/2 = 91.5.

More can be learned about the quartiles of a data-set at brainly.com/question/28017610

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7 0
2 years ago
How do i plot the equation y=4x on a table
liraira [26]
X= 1 y=4, x=2 y=8, x=3 y=12
5 0
3 years ago
Tina’s bedroom is in the shape of a rectangular prism 15 feet long, 12 feet wide, and 10 feet high. It has no windows. Tina want
Tanya [424]

Answer:

720ft²

Step-by-step explanation:

Wall 1&2 = lh = 15*10=150

Wall 3&4 = wh = 12*10=120

Ceiling = lw = 12*15=180

120+150+120+150+180=720ft²

7 0
4 years ago
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