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.
So what you will need to do is subtract 2x - 3x = -x, then subtract three from both sides 8 - 3 and the answer will be -x + 5
Answer:
25%
Step-by-step explanation:
If Denver gets 8/19 of the food, 11/19 of the food is left between Engle and Fido.
If the food is shared in a ratio of 6 : 2 between the pair, Engle gets 6/8 and Fido gets 2/8.
Thus, 2/8 = 25%.
Answer:
C- 35 °
Step-by-step explanation:
Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).
Interior angle adjacent to 125° angle = 55° (supplementary angles of a line segment).
Sum of two interior angles of the triangle = 55+90 = 145°
∠p = 180° - 145° = 35°
I cannot understand what you are saying