2e = 4e - 16
*subtract 4e from both sides
-2e = -16
*divide both sides by -2
<u><em>e = 8</em></u>
The exact length of the arc is 226.08 inches.
<h3 /><h3>Length of arc:</h3>
where
∅ = central angle
m ABC = 324 ° = ∅
length of arc = 324 / 360 × 2 π × 40
length of arc = 25920π / 360
length of arc = 25920 × 3.14 / 360
length of arc = 81388.8 / 360
length of arc = 226.08 inches.
learn more on length of arc here: brainly.com/question/16117492
Answer:
3 in 10
Step-by-step explanation:
In the triangle XYB
cos(x)=XY/XB
in the triangle AYZ
cos(z)=YZ/AZ
we know that
cos(x)=cos(z) and XY=YZ
therefore
XY/XB=YZ/AZ-------------- > (XY/YZ)=(XB/AZ) remember that XY=YZ
1=(XB/AZ)---------- > XB=AZ---------- > the statement was proved
Step-by-step explanation:
We want to compare the means, so find the difference and the corresponding standard deviation:
μ = μ₁ − μ₂
μ = 25 − 23
μ = 2
σ = √(σ₁²/n₁ + σ₂²/n)
σ = √(3.1²/50 + 3.2²/50)
σ = 0.63
Using a 95% confidence level, z = 1.96. So the interval is:
CI = 2 ± 1.96 × 0.63
CI = 2 ± 1.2
There is a 95% probability that the true difference in means is between 0.8 and 3.2. Since 0 is not in this interval, we can conclude that there is a significant difference between the commute times for the two populations.
