Answer:
The distance of the run is 10 miles
The distance of the bicycle race is 69 miles
Step-by-step explanation:
Let:
- r = the distance for the run
- 79 - r = the distance for the bicycle race
- t = the time of the run
- 5 - t = the time of the bicycle race
The run: r = 5t
The bicycle race: 79 - r = 23(5 - t)
Simplify the bicycle race:
- 79 - r = 115 - 23t
- -r = 36 - 23t
- r = 23t - 36
Now we have two equations set up for r
We know that r = r, so 5t must equal 23t - 36
- 5t = 23t - 36
- 5t + 36 = 23t
- 36 = 18t
- t = 2
Now we know that the run took 2 hours.
Plug it back into the equation for the run to find the distance for the run
The run is 10 miles
To solve for the bicycle race, we simply subtract 10 from 79, because we know that the two distances combined are 79.
The bicycle race is 69 miles.
-Chetan K
Answer:
area 78.54cm² circumference 31.42cm
Step-by-step explanation:
to find the circumference you multiply the radius by two, to find the area use the equation A=πr2=π·52 to get 78.53982cm² which is simplified to 78.54cm²
Answer: 132.665 hope it's right but I think it's right but i don't know
Step-by-step explanation:
could you explain a bit more?
Answer:
Sample mean is the answer
Step-by-step explanation:
Recall the central limit theorem.
Suppose that a sample is obtained containing a large number of observations, each observation being randomly generated in a way that does not depend on the values of the other observations, and that the arithmetic mean of the observed values is computed. If this procedure is performed many times, the central limit theorem says that the distribution of the average will be closely approximated by a normal distribution. A simple example of this is that if one flips a coin many times the probability of getting a given number of heads in a series of flips will approach a normal curve, with mean equal to half the total number of flips in each series. (In the limit of an infinite number of flips, it will equal a normal curve.)
Hence we find that sample means is a minimum-variance unbiased point estimate of the mean of a normally distributed population
