Answer:
Step-by-step explanation:
Attached is the solution
a certain number is both a perfect square and a perfect cube. Will it's square root and its cube root will always be different n
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Answer:
We estimate to have 8.33 times the number 6 in 50 trials.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.
We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have number of times of having a 6, which is 8.33.
Using the distance formula, the perimeter of triangle SAM = 15 + 5√5 units.
<h3>How to Find the Perimeter of a Triangle Using the Distance Theorem?</h3>The distance theorem is d = , while the perimeter of a triangle is the sum of the length of its three sides.
Triangle SAM has the following vertices with their coordinates:
S(-6, 2)
A(-3, 6)
M(5, 0)
The perimeter of triangle SAM = SA + AM + SM
Use the distance formula to find the length of SA, AM, and SM:
SA = √[(−3−(−6))² + (6−2)²]
SA = √25
SA = 5 units
AM = √[(−3−5)² + (6−0)²]
AM = √100
AM = 10 units
SM = √[(−6−5)² + (2−0)²]
SM = √125
SM = 5√5 units
The perimeter of triangle SAM = 5 + 10 + 5√5
The perimeter of triangle SAM = 15 + 5√5 units
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