She needs to score a 91 on her next test because 85+78+77+69+91=400 and 400 divided by 5 gives you a mean of 80.
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of
and then find the value of b.
Solution:
The general form of best fit line is:
...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
...(ii)
On comparing (i) and (ii), we get

Therefore, the value of b is equal to -0.7.
Answer:
1/9
Step-by-step explanation:
0.1(repeating)
Answer:
28 Kg : 8 Kg
Step-by-step explanation:
Sum the parts of the ratio, 7 + 2 = 9 parts
Divide 36 Kg by 9 to find the value of one part of the ratio.
36 Kg ÷ 9 = 4 Kg ← value of 1 part of the ratio, thus
7 parts = 7 × 4 Kg = 28 Kg
2 parts = 2 × 4Kg = 8 Kg
36 Kg in the ratio 7 : 2 = 28 Kg : 8 Kg
The Geometric mean of 4 and 10 is 6.32
<u>Explanation:</u>
Given:
Two numbers are 4 and 10
Geometric mean, GM = ?
We know,
GM = ![\sqrt[n]{a_1 X a_2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba_1%20X%20a_2%7D)
Where,
n = 2
Substituting the value we get"
![GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32](https://tex.z-dn.net/?f=GM%20%3D%20%5Csqrt%5B2%5D%7B4%20X%2010%7D%20%5C%5C%5C%5CGM%20%3D%20%5Csqrt%5B2%5D%7B40%7D%20%5C%5C%5C%5CGM%20%3D%206.32)
Thus, the Geometric mean of 4 and 10 is 6.32