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mihalych1998 [28]
3 years ago
9

The table below shows randy breuers height in inches leading into his teen years. The graph below displays a scatter plot of the

data. Which equation best represents the line of best fit for this data?
The choices are:
A. y=1.1x+23
B. y=1.25x+20
C. y=1.25x+40.67
D. y=1.4x+40.67

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0
The least-square regression line has a slope of:

m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)

and a y-intercept of:

b=(Σy-mΣx)/n

In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so

m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846

b=(391*846-85*1058)/(7*846)=34408/846

So the line of best fit is:

y=(1058x+34408)/846  and if we approximated this as your answers see to have done....

y=1.25x+40.67
son4ous [18]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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Find ten rational numbers between -1 by 5 and 1 by 2 ​
uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\

Now multiply  the numerator  and denominators of the both the numbers by 10.

\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational  \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}

8 0
2 years ago
Help! Can anyone Simplify this for me
Tcecarenko [31]
64x^{6} y^{12}
5 0
3 years ago
A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in
Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where a, b and c are the coefficients of the quadratic equation

at^2+bt+c=0

So we get

a=16\\b=32\\c=-215

Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

t=-4.8 , t = 2.8

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0
3 years ago
Assessment items Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. If no money was deposited
Arturiano [62]
The interest would be $14.17 so the total in the account is $329.17.

you find this by using the formula:
I = P*R*T
I =300*.015*3
I = 14.17
4 0
3 years ago
BRAINLEST<br>what is the value of the function at x=2​
BARSIC [14]

Answer:

y = - 3

Step-by-step explanation:

Locate x = 2 on the x- axis, then go down vertically to meet the line. At this point read off the corresponding value on the y- axis, thus

The value of the function at x = 2 is y = - 3

3 0
3 years ago
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