Answer:
a. 19.68 miles per gallon.
b. 26.32 miles per gallon.
Step-by-step explanation:
Mean gas mileage (μ) = 23.0 mpg
Standard deviation (σ) = 4.9 mpg
In a normal distribution, for any length X, the z-score is determined by the following expression:

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677
a. The first quartile of the distribution of gas mileage is

19.68 miles per gallon.
b. The third quartile of the distribution of gas mileage is

26.32 miles per gallon.
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
Answer:
-1+√6
-1-√6
Step-by-step explanation:
x²+2x-5=0
x=(-2±√(2²-4(-5)))/2=(-2±√(4+20))/2=(-2±√24)/2
x₁=(-2+√24)/2 or x₂=(-2-√24)/2
x₁=(-2+2√6)/2 or (-2-2√6)/2
x₁=-1+√6 or x₂=-1-√6
Answer:
They will hike 16% of the trail in Georgia.
Step-by-step explanation:
We have that:
The hiking trail is of 2600 miles.
416 of those miles are in Georgia?
What percent of the trail will they hike?
Georgia distance multiplied by 100% and divided by the total distance. So
416*100%/2600 = 16%
They will hike 16% of the trail in Georgia.