Answer:
So the triangle adds up to 180
Answer:
target speed for the marathon has been achieved and exceeded
Step-by-step explanation:
Given that :
Target speed = 25 mph
Current speed = 15 miles in 1/2 an hour
Current speed :
15 miles in 0.5 hours
X miles in 1 hour
0.5x = 15 miles
X = 15 / 0.5
X = 30 miles per hour
Hence, current speed in miles per hour = 30mph
This means that her target speed for the marathon has been achieved and exceeded
-1.5 + k is the same thing as k - 1.5
and if we want to get k all by itself, we need to add 1.5 on both sides, not add -1.5
so
-1.5 + k = 8.2
-1.5 + 1.5 + k = 8.2 + 1.5
k = 8.2 + 1.5
k = 9.7
The equations have been computed below
<h3>How to illustrate the information?</h3>
3(x + 2) + 11 = 5(x - 4)
3x + 6 + 11 = 5x - 20
Collect like terms
3x - 5x = -20 - 17
-2x = -37
x = 37/2
x = 18.5
6x + 4 = 3(3 - 2x)
6x + 4 = 9 - 6x
Collect like terms
6x + 6x = 9 - 4
12x = 5.
x = 5/12
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Complete question :
a. Of less than$720?
b. Of more than $840?
c. Between $680 and $760?
Answer:
0.500 ; 0.0013 ; 0.6827
Step-by-step explanation:
Given that :
Mean, μ = 720
Standard deviation, σ = 40
P(Z < x)
x = (x < 720)
Obtain the standardized value of x
P(x < 720) = (x - μ) / σ
P(x < 720) = (720 - 720) / 40
P(x < 720) = 0
P(Z < 0) = 0.5
B.) More than $840
P(x > 840)
P(x > 840) = (x - μ) / σ
P(x > 840) = (840 - 720) / 40
P(x > 840) = 120 / 40 = 3
P(Z > 3) = 0.0013499 (Z probability calculator)
c. Between $680 and $760?
P(760 < x < 680)
P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)
P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)
P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268
