Answer:
0.04
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of triangle :
Area = 1/2 base * height
Base = 0 - 50 = 50
Area = 1
Hence,
1 = 1/2 * 50 * h
1 = 50h / 2
2 = 50h
h = 2 / 50
h = 0.04
We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
Answer:
C and D
Step-by-step explanation:
This is a comparision problem. (C)
The totla bar represents 30.8 miles. (D)
Caitlin ran 16.3 miles.
Hope this helps!
Answer:
first one is 30 5 40
35 25 15
10 45 20
second one is 5 26 11
20 14 8
17 2 23
third one is 9 16 11
14 1210
13 8 15
and forth one is 20 70 60
90 50 10
40 30 80
Step-by-step explanation:
which ever direction you know 2 of 3 numbers, you add them and subtract the sum its supposed to add up to. rough explanation
Part A
Correlation coefficient: -.99
This tells us that as time goes on (value of x increases) the area of the puddle goes down (value of y decreases)
Part B
y₂ - y₁
------- = slope
x₂ - x₁
9 - 15
--------
5 - 8
-6/-3 = 2
So the slope equals -2, regardless of the fact that we got 2 as an answer there, we know that it is a negative slope
Part C
The data represents causation because an increase in the value of x results in a decrease in the value of y, this shows an example of direct causation between x and y.
