Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
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 of:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Question 1:
We have no previous estimate for the population proportion, so we use
.
The sample size is n for which M = 0.015. So






Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which
.



So 2.1%, and the correct answer is given by option c.
Perpendicular Bisector
________________________________
Angle Bisector
So it's like 'which one of the number given is a factor of, say, 10' and the choices are 4,5,7,9. the answer is 5 so just factor out the equation
the factored out form is
factor out the 3x^2 and get
(3x^2)(3x^2-2x+1)
and 3x^2-2x+1 is the fourth choice
Answer:
A= 109 B= 16 C=86
Step-by-step explanation:
Write an equation for each statement:
:
"The sum of three integers is 211."
a + b + c = 211
:
"The sum of the first an second integers exceeds the third by 39."
a + b = c + 39
a + b - c = 39
:
"The third integer is 23 less than the first."
c = a - 23:
Subtract the 2nd equation from the 1st equation
a + b + c = 211
a + b - c = 39
---------------subtraction eliminates a and b, find c
2c = 172
c = 86:
Find a using the 3rd equation
86 = a - 23
86 + 23 = a
a = 109
:
Find b using the 1st equation
109 + b +86 = 211
b = 211 - 195
b = 16