Answer:
Answer is (a)
Step-by-step explanation:
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Answer:
c
Step-by-step explanation:
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Answer:
A sample of 1068 is needed.
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:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of
, so we use the worst case scenario, which is 
Then






Rounding up
A sample of 1068 is needed.
When x is -4:
y=-3(-4)+4
y=16
-2:
y=-3(-2)+4
y=-2
0:
y=-3(0)+4
y=4
2:
y=-3x2+4
-2
Hope that helps
Answer:
x = 8 y = 8
Step-by-step explanation:
Multiply 2nd equation by -3 to get -6x - 3y = -72
Now 4x + 3y = 56
<u>-6x - 3y = -72</u>
-2x = -16
x = 8
Substitute x = 8 into the 2nd equation
2(8) + y = 24
16 + y = 24
y = 8
Check: Substitute the values into the 1st equation
4(8) + 3(8) = 32 + 24 = 56 So we have the correct values for x and y