<span>(B placing a slip of paper facedown for each color group: green, pink, yellow, and blue</span>
Answer:
We need a sample size of 1068.
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 .
In this problem:
We need a sample size of n.
n is found when
We do not know the exact proportion, so we use , which is when we are are going to need the largest sample size. So
Rounding up
We need a sample size of 1068.
Answer:
Step-by-step explanation:
conjugate is the opposite i math so the opposite of finding the square root is giving it a root
Well we know it can't be A nor C because we are doing multiplication.
Now you have to understand that you are just changing the order of the numbers.
The correct answer would be......
D
Step-by-step explanation:
Notice that tan (75) can be written as sin(75)/cos(75) = sin(30 + 45) / cos(30 + 45)
And using a couple of trig identities, we have
[sin 30 cos 45 + sin 45 cos 30 ] / [cos 30 cos 45 -sin 30 sin 45] =
[ (1/2)(1/√2) +(1/√2))(√3/2)] / [ (√3/2) (1/√2) -(1/2) (1/√2) ] =
([1 + √3)] / [2 √2]) / ([√3 - 1] / [2 √2]) =
[ 1 + √3] / [√3 - 1] rationalizing the denominator, we have
[ 1 + √3] * [√3 + 1] / 2 =
[ 1 + √3 ] [ 1 + √3 ] / 2 =
[1 + 2√3 + 3] / 2 =
[4 + 2√3 ] / 2 =
2 + √3 so this is the exact value