Answer: he hiked 5.6 miles up the canyon.
Step-by-step explanation:
Let x represent his speed hiking uphill.
His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8
Distance = speed × time
Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x
He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =
x + 2.8
Since the distance uphill is the same as the distance downhill, then
2x = x + 2.8
2x - x = 2.8
x = 2.8
Therefore, the distance hiked up the canyon is
2x = 2 × 2.8 = 5.6 miles
Find the volume of the cone Vc
Find volume of sphere Vs
Volume of shaded figure Vsh=Vc-Vs
Answer:
By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of the sample:
14.8 credit hours per semester.
So
By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.
Answer:
Step-by-step explanation:
The formula representing the the annual inflation rate r is expressed as
r = (F/P)1/n−1
Where
n represents the the number of years during which the value increases from P to F
A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. This means that
P = $800,000
F = $1,100,000
n = 6
Therefore,
r = (1100000/800000)1/6−1
r = 1.375/5 = 0.275
Since a triangles angles add up to 180 you would add the other sides and then
180-161=19
So angle 1 is 19 degrees
