Answer: The answer is 105 ft. and 35 ft.
Step-by-step explanation: Given that Mauro has 140 ft. of rope, which he wants to cut into two pieces such that the length of the longer piece is 3 times the length of the shorter piece. We need to find the lengths of both the pieces.
Let 'x' and 'y' be the lengths of the longer piece and shorter piece respectively. Then, we will have the following system of equations.
Substituting the value of 'x' from the second equation in the first equation, we have
Thus, length of longer piece = 3 × 35 = 105 ft., and length of shorter piece = 35 ft.
Answer:
(29.13, 30.07)
Step-by-step explanation:
The first step is finding our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, that is between 
and 
, so we use 
.
Now, find M as such:
In which 
is the standard deviation and n is the length of the sample
The lower end of the interval is the sample mean subtracted by M. So it is 29.6 - 0.47 = 29.13 hours.
The upper end of the interval is the sample mean added to M. So it is 29.6 + 0.47 = 30.07 hours
The 90% confidence interval is (29.13 hours, 30.07 hours).
The correct answer is:
(29.13, 30.07)
I actually think that it is 50
Answer:
y=-2/5 +7
Step-by-step explanation:
