Answer: If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes is .031
Step-by-step explanation:
Given expression is
Radical is fourth root
first we simplify the terms inside the radical
So the expression becomes
Now we take fourth root
We cannot simplify fourth root (y^2)
After simplification , expression becomes
Answer is option B
Answer:
Step-by-step explanation:
Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation
Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation
which is equivalent to
If we add 5 on both sides and factor out on the right by 5 we get
We can solve for x and get
Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.
If that is the case, then
x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem
Answer:
100
Step-by-step explanation:
multiply in the formula
First, find out what 8^2 is.
(Answer = 64)
Then, find the square root of 64.
(Answer = 8)