Answer is 3
Explanation:
10 L -> 6 atm
So divide by half
5 L -> 3 atm
1. $350*1.08=$378
2. $378*1.08=$408.24
3. $408.24*1.08=$440.899
4. $440.889*1.08=$476.17
5. $476.17*1.08=$514.26
Ellie need to wait 5 years. She will earn $14.26 after 5 years for own needs.
Answer:
A
Step-by-step explanation:
Look at both rectangles and list each of the corners coordinates:
The rectangle on the left has coordinates:
R: (-4,-1)
S: (-1,-1)
T: (-1,-3)
U: (-4,-3)
Now because the rectangle transformed to a different location we should take the coordinates of each of its vertices to find what type of transformation this is:
R' : (4,-1)
S' : (1,-1)
T' : (1,-3)
U' : (4,-3)
We can notice that the difference between both sets of points is that the x-value changes sign and the y-values stay the same, therefore the answer is A
There are two data sets x and y.
X includes = 14 25 19 35 20 12 5
Y includes = 360 293 315 212 315 331 404
to solve for the correlation coefficient, we need to get the following values step by step
Step 1: Find the mean of each set.
The mean of X = 18.571
The mean of Y = 318.571
Step 2: Subtract the mean of X from every value X value
(denote this with letter a). Do the same for y (denote this with letter b).
The mean of X subtracted from every X value (a):
14 - 18.571 = -4.571
25 - 18.571 = 6.429
19 - 18.571 = 0.429
35 - 18.571 = 16.429
20 - 18.571 = 1.429
12 - 18.571 = -6.571
5 - 18.571 = -13.571
The mean of Y subtracted from every value of Y (b):
360 - 318.571 = 41.429
293 - 318.571 = -25.571
315 - 318.571 = -3.571
212 = 318.571 = -106.571
315 - 318.571 = -3.571
331 - 318.571 = 12.429
404 - 318.571 = 85.429
Step 3: Calculate: a *
b, a^2 and b^2 of every value.
For a*b
-189.388
-164.388
-1.531
-1750.816
-5.102
-81.673
-1159.388
Sum: -3352.286
For a²
20.898
41.327
0.184
269.898
2.041
43.184
184.184
Sum: 561.714
For b²
1716.327
653.898
12.755
11357.469
12.755
154.469
7298.041
Sum: 21205.714
Step 4: Solve using this formula
r = ∑a * b / √((a²)(b²))
r = -3352.286 /
√((561.714)(21205.714))
= -0.9713
The correlation coefficient is -0.971
Answer:
83
Step-by-step explanation:
cos 65 = 35/ x
x = 35/ cos 65
x = 83m
hope it helps!
