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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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An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi
jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

(c) 2.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable <em>X</em> denotes the number of heads in <em>n</em> tosses of an honest coin (<em>n</em> ≥ 30), then <em>X</em> has an approximately normal distribution with mean, \mu=\frac{n}{2} and standard deviation, \sigma=\frac{\sqrt{n}}{2}.

Here the number of tosses is, <em>n</em> = 2500.

Since <em>n</em> is too large, i.e. <em>n</em> = 2500 > 30, the random variable <em>X</em> follows a normal distribution.

The mean and standard deviation are:

\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, <em>μ</em> = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

        = μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

        = 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

                                   = 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0
3 years ago
Pls solve will mark brainiest, five stars and will give a thanks
Goryan [66]

Answer:

8 times

Step-by-step explanation:

3/4 n = 6

Multiply each side by 4/3 to isolate n

4/3 * 3/4 n = 6*4/3

n = 8

8 0
3 years ago
Read 2 more answers
Tom bought 3 packages of Skittles for $1.25 each. How much did he spend?
polet [3.4K]

Answer:

Tom spent $3.75 of Skittles

Step-by-step explanation:

If each Skittle packet was $1.25, then if that is multiplied by 3, the product of the equation is, 3 dollars and 75 cents/$3.75

1.25 x 3 = 3.75

7 0
3 years ago
Read 2 more answers
On a map the key indicates that 1/4 inch = 1/2 mile. if two cities on themap are 4 1/2 inches apart what is the distance between
Ilya [14]
Let the actual distance be x mile.
1/4 inch = 1/2 mile
9/2 inch = x mile
(9/2)/(1/4)=x/(1/2)
            18=2x
              x=9

the actual distance is 9 mile.
8 0
3 years ago
I NEED HELP!!! PLZ HELP!!!!!!!!!
Digiron [165]

Answer:

30.06

Step-by-step explanation:

The question states WHAT DID THEY PAY BEFORE INSTALATION CHARGES.

So 30.06$

588.34-555.28=30.06

3 0
3 years ago
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