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2 years ago

Which is the equation of this best line of fit?

Mathematics

1 answer:

Neporo4naja [7]2 years ago

3 0

Answer:

D) y = 5x + 25

Step-by-step explanation:

the line of fit is defined by y = mx + b where:

m = the slope of the line (the rate of change)

b = the y-intercept (where it crosses the y-axis)

We see that for every 1 unit the graph moves horizontally... it moves 5 units vertically, thus we are given m = 5

If you look at the y-axis... we can determine that the graph crosses the y-axis at (0, 25), thus we are given b = 25

Therefore, the answer is y = 5x + 25

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U = { x | x is the name of one of the states of in the US}

leva [86]

Answer:

n(P') = 49
n(A' ∪ N) = 46
n(I' ∩ O') = 43
n(P∩N) = 0

Step-by-step explanation:

We can start with some helpful facts:

n(U) = 50
n(A) = 4
n(I) = 4
n(P) = 1
n(N) = 8
n(O) = 3

and all subsets are mutually exclusive.

n(P') = n(U) -n(P) = 50 -1 = 49

n(A' ∪ N) = n(A') = n(U) -n(A) = 50 -4 = 46

n(I' ∩ O') = n(U) -n(I) -n(O) = 50 -4 -3 = 43

n(P∩N) = 0 . . . . no states begin with the letter P and also with the letter N.

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For reference, here is a list of the relevant states:

{Alabama, Alaska, Arizona, Arkansas, Idaho, Illinois, Indiana, Iowa, Nebraska, Nevada, NewHampshire, NewJersey, NewMexico, NewYork, NorthCarolina, NorthDakota, Ohio, Oklahoma, Oregon, Pennsylvania}

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3 years ago

Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 fee

hram777 [196]

Answer:

199 square feet

Step-by-step explanation:

Given:

Trace needs a new carpet for her house.

Dimension of dining room = 6 feet by 4 feet.

Dimension of sitting area = 10 feet by 15 feet.

Dimension of breakfast nook = 5 feet by 5 feet.

Question asked:

How many square feet of carpet does she need ?

Solution:

First of all we will calculate the area of each part of the house and then add up.

$Area \ of \ dining\ room=length\times width$

$=6\times4\\ \\ =24\ square\ feet$

$Area \ of \ sitting\ part=length\times width$

$=15\times10\\ \\ =150\ square\ feet$

$Area \ of \ breakfast\ nook=(side)^{2}$

$=5^{2} =25\ square\ feet$

Total carpet needed will be needed = For dining + For sitting area + For breakfast nook

= 24 + 150 + 25

= 199 square feet

Therefore, she needs 199 square feet of a new carpet for her house.

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3 years ago

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