For 2 1/6 = 13/6 Ft, ant takes = 1 min.
So, for 1 ft, it takes = 6/13 min.
Now, for 5 1/5 = 26/5 min. it would take = 6/13 * 26/512/5 = 2.4 min
In short, Your Answer would be 2.4 min
Hope this helps!
Answer:
Option D) The prisoner is actually guilty and the jury sets him free.
Step-by-step explanation:
We are given the following in the question:
Null Hypothesis:
The null hypothesis states that the prisoner is innocent
Alternate Hypothesis:
The alternate hypothesis states that the prisoner is guilty and not innocent.
Type II error:
It is the type error made when we fail to reject the ll hypothesis when it is actually false.
That is we accept a false null hypothesis.
Thus a type II error in the above scenario will be to accept that the prisoner is innocent (accepting the null hypothesis) when actually he is guilty( the alternate hypothesis)
Thus, type II error would be setting free a guilty prisoner.
Option D) The prisoner is actually guilty and the jury sets him free.
Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet
Answer:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.
If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of 
.
If two events X and Y are independent, then
Assume the probability of one part working does not depend on the functionality of any of the other parts.
Substitute the given values.
Therefore, the probability that the machine works properly is 0.756.
