Answer:
39.407m
Step-by-step explanation:
sin 66deg = 36/length of cable
length of cable = 36/sin 66deg = 39.407m (5sf)
Answer: 0.001
Step-by-step explanation:This is a combination problem, so we need to calculate the combination of 7 choose 5, and then multiply by the probability of each event:
Combination of 7 choose 5:
C(7,5) = 7! / (5! * 2!) = 7*6/2 = 21
This value means that we have 21 different possibilities of the 5 days we want being allocated in the 7 days
Now, the probability of each event is:
5 days playing the song: (0.15)^5
2 days not playing the song: (0.85)^2
So, the final probability is
P = C(7,5) * (0.15)^5 * (0.85)^2 = 0.001
Answer:
The minimum sample size we should anticipate using is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
We have no history with this characteristic, so we have no idea as to what the proportion might be.
This means that we use , which is when the largest sample size will be needed.
95% confidence level
So , z is the value of Z that has a pvalue of , so .
What is the minimum sample size we should anticipate using?
This is n for which M = 0.04. So
Rounding up, 601
The minimum sample size we should anticipate using is 601.
So you will need to solve for x and y before evaluating 2x+y....
2x-y=9, y=2x-9 now this will make 4x^2-y^2=171 become:
4x^2-(2x-9)^2=171
4x^2-(4x^2-36x+81)=171
36x-81=171
36x=252
x=7, now we can use 2x-y=9 to solve for y...
2(7)-y=9
14-y=9
-y=-5
y=5
now we know that x=7 and y=5, 2x+y becomes:
2(7)+5
14+5
19
Answer:
8070
Step-by-step explanation:
Given:
8.07
x
10
3
8.07
×
10
3
=
8.07
×
1000
=
8070