Answer:
Step-by-step explanation:
x + x + 36 = 180
2x + 36 = 180
2x = 144
x = 72
-5x - 8 = -18
-5x - 8 + 8 = -18 + 8
-5x = -10
-5x / (-5) = -10 / (-5)
x = 2
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:
$154.20
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
20% of $771 =
= 20% * $771
= 0.2 * $771
= $154.20
The increase is $154.20
Answer:
2 3/4
Step-by-step explanation: