Answer:
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since
therefore,
Let be the time he walked with speed v.
then
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let be the time he hiked 12 km,
Then
The total time for the whole trip is given by:-
Substitute the values of and
in the equation, we get
Answer:
150in²
Step-by-step explanation:
The surface area of a cube is given by the following equation where <em>s</em> is the length of a side:
So, in this case, s is equal to 5:
Answer:
11.51% probability that the sample average will be less than 182
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample average will be less than 182
This is the pvalue of Z when X = 182. So
By the Central Limit Theorem
has a pvalue of 0.1151
11.51% probability that the sample average will be less than 182