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n200080 [17]
4 years ago
8

Find the equation of the line of best fit and the correlation coefficient for the data shown. (1, 88), (2, 75), (3, 71), (4, 69)

, (5,66), (6, 68), (7, 50)

Mathematics
2 answers:
vodomira [7]4 years ago
6 0

To finish the second part of the question is that there’s a strong linear correlation between the data


Maksim231197 [3]4 years ago
3 0
The equation of the line of best fit is y = -4.75x + 88.571 and the correlation coefficient for the data that is shown is -0.906.

y = ax + b
a = -4.75
b = -88.571
r² = 0.821
r = -0.906

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Help! please solve number 5 a-e
VMariaS [17]
Just plug in the numbers for the variables
a. \: 1 + ( - 4) + ( - 3) \\ b. \: 1 + ( - 4) - (2 \times ( - 3)) \\ c. \: 1 + (3 \times ( - 4)) - (2 \times ( - 3))
Does this help?
4 0
3 years ago
A study conducted at a certain college shows that​ 65% of the​ school's graduates find a job in their chosen field within a year
alexdok [17]

Answer: 0.009

Step-by-step explanation:

Formula we use here : Binomial distribution formula

Probability of getting success sin x trial =P(X)=^nC_xp^x(1-p)^{n-x} , where n is the sample size and p is the probability of success in each trial .

Given : A study conducted at a certain college shows that​ 65% of the​ school's graduates find a job in their chosen field within a year after graduation.

i.e. p= 0.65

Sample size : n= 11

Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-

P(X)=^{11}C_{11}(0.65)^{11}(1-0.65)^{11-11}\\\\=(1)(0.65)^{11}(1)\\\\=0.00875078317401\approx0.009

Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009

8 0
3 years ago
When measuring weight 6 small dogs are approximately equal to 9 large cats.
Zolol [24]

Answer:

See below

Step-by-step explanation:

Equation 1:

Step 1:

6 : 9 = x : 54      Ratio

Step 2:

9x = 324     Multiply

Step 3:

36 small dogs       Divide

Equation 2:

Step 1:

6 : 9 = x : 12       Ratio

Step 2:

9x = 72     Multiply

Step 3:

8 small dogs   Divide

First Answer:

36 small dogs

Second Answer:

8 small dogs

Hope This Helps :)

7 0
3 years ago
Which of the shaded regions below represents 3/5 of the whole circle
Norma-Jean [14]

Answer: B

Step-by-step explanation:

3 0
3 years ago
Find f (2b^2) for (x)=x^2-4x
BlackZzzverrR [31]

Answer:

A

Step-by-step explanation:

We are given the function:

f(x) = x^2 - 4x

And we want to find:

\displaystyle f(2b^2)

Substitute:

\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)

And evaluate:

\displaystyle \begin{aligned}  f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}

In conclusion, our answer is A.

7 0
3 years ago
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