E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size
Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))
Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))
Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.
Answer:
4√3
Step-by-step explanation:
For isosoles triangles the legs are congruent
v = u
--------------------
using the pythagorean theorem
(4√6)² = v² + v²
(16 * 6) = 2v²
Divide both sides by 2
16 * 3 = v²
Take the square root of both sides
4√3 = v
Answer:
2/5
Step-by-step explanation:
Answer:
-86
Step-by-step explanation:
5+5=10
10-6=4
4-100=-86
We have been given that the take home pay is $1500 and 22% is withheld as taxes.
Let us assume that the gross pay is x dollars. Therefore, take home pay must be 78% of x because 22% of the pay is withheld as taxes, so you get to take home only 78% of the gross pay.
Since we have been given that take home pay is $1500 and it is 78% of the total gross pay. Therefore, we can set up an equation:
Therefore, gross pay is $1923.08
