Answer: option A
Step-by-step explanation:
Sample proportion (p') = 1600/2000 = 0.8
Sample size (n) = 2000
q' = 1 - p' = 1 - 0.8 = 0.2
To construct a 95% confidence level for population proportion, we use the formulae below.
p = p' + Zα/2 × s/√n..... For the upper limit
p = p' - Zα/2 × s/√n..... For the lower limit
Where s is the sample standard deviation and is given below as
s = √ p' (1-p')
s = √ 0.8 × 0.2
s = √ 0.16
s = 0.4
Even though we are making use of our sample standard deviation, the critical value use is that of a z test and that's because the sample size is greater than 30 ( n = 2000.)
Hence the value for critical value Zα/2 is 1.96.
By substituting the parameters, we have that
For lower limit
p = 0.8 - 1.96× 0.4/√2000
p = 0.8 - 1.96 ( 0.0089)
p = 0.8 - 0.018
p = 0.782 = 78.2%
For upper limit
p = 0.8 + 1.96× 0.4/√2000
p = 0.8 + 1.96 ( 0.0089)
p = 0.8 + 0.018
p = 0.818= 81.8%
Hence the 95% confidence interval for proportion is between 78.2% and 81.8%
The answer:
the complement of the question is as follow
What is the scale factor of the dilation?
when we look at the image,
UV and U'V' are parallels, and (A, U V) and (A, U' V') are aligned points
so we can apply thales theorem
AV/AV' = AU / AU'= VU /V'U'= 3.2+4.8/ 3.2= 8/3.2
so VU / V'U'= 8/3.2, the image is formed by a reduction
VU = 8/3.2 V'U', so k=8/3.2
the scale factor of the dilation is k=8/3.2
Answer:
x=4, y=-11. (4, -11).
Step-by-step explanation:
3x+2y=-10
5x+y=9
--------------
3x+2y=-10
-2(5x+y)=-2(9)
--------------------
3x+2y=-10
-10x-2y=-18
-----------------
-7x=-28
7x=28
x=28/7=4
5(4)+y=9
20+y=9
y=9-20=-11
Answer: Radical conjugate.
Step-by-step explanation:
By definition and are called "Conjugate radicals".
Therefore, by this definition, you can know the following:
1) is the conjugate of
2) is the conjugate of .
Then, since you know that is a root of a polynomial function, therefore you can conclude that the name given to the other root of the same function is the following:
"Radical conjugate".