Answer:
see explanation
Step-by-step explanation:
A translation of 6 units to the right, means adding 6 to the x- coordinate.
J (- 4, 5 ) → J' (- 4 + 6, 5 ) → J' (2, 5 )
K (- 2, 1 ) → K' (- 2 + 6, 1 ) → K' (4, 1 )
L (- 4, 2 ) → L' (- 4 + 6, 2 ) → L' (2, 2 )
Answer:
Q1
slope=0.16
intercept=30.2
Q2
78.2
Q3
36%
Step-by-step explanation:
Question 1
We are given that
xbar=280
sx=30
ybar=75
sy=8
r=0.6
The regression line can be written as
y=a+bx
a=intercept
b=slope
where
and
b=0.6*(8/30)
b=0.16
a=75-0.16*280
a=30.2
Thus,
slope=0.16
intercept=30.2
Question 2
The regression line in the given scenario
y=30.2+0.16x
Julie pre exam total before the exam was 300.
y=30.2+0.16*300
y=30.2+48=78.2
So, the predicted final exam score of Julie is 78.2.
Question 3
R² denotes the variation in dependent variable y explained by the linear relationship of x and y.
R²=0.6²=0.36
Thus, the proportion of the variation in final exam scores that is explained by the linear relationship between pre-exam scores and final exam scores is 36%.
550,000 is the answer for today and all days
Answer:
a. <em>about 187 feet</em>
b. <em>about 19 trees</em>
c. <em>about 228 dollars</em>
What we know:
- 80 ft = hypotenuse
- 35 ft = short side
- x ft = long side
- it is a <em>right</em> triangle
a. Find the perimeter of the field. <em>about 187 feet</em>
<u>solve for the missing side length ('x')</u>:
- 35^2 + x^2 = 80^2
- 1225 + x^2 = 6400
- x^2 = 5175
- x = 15sqrt(23) or approx. 71.92
<u>add all side lengths</u>:
- P = 80 + 35 + 71.92
- P = 115 + 72 (rounded)
- P = 187 ft
b. You are going to plant dogwood seedlings about every ten feet around the field's edge. How many trees do you need? <em>about 19 trees</em>
- divide perimeter by 10 187/10 = 18.7
- round 18.7 trees = about 19 trees
c. If each dogwood seedling sells for $12, how much will the trees cost? <em>about $228</em>
- multiply trees by cost of each $12 x 19 trees = $228
- about $228 for the trees
