Really, we don't need to use that much math--we can use logic instead. Since the two congruent sides must be longer than 30in, the total has to be greater than 60in (the longest side plus the congruent sides.) So for our answer, we want the smallest total that is above sixty, which in this case is 72.44in.
Hope I helped, and let me know if you have any questions :) I can explain the real math if you want, it was just unnecessary here.
Answer: 267.
Step-by-step explanation:
When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :
, where z* = Critical z-value and E + amrgin of error.
Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.
Since , we have no prior information about p. so we use above formula
with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get
![n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267](https://tex.z-dn.net/?f=n%3D0.25%28%5Cdfrac%7B1.96%7D%7B0.06%7D%29%5E2%3D0.25%2832.6666%29%5E2%5C%5C%5C%5C%3D%280.25%29%281067.111111%29%5C%5C%5C%5C%3D266.777777778%5Capprox267)
Hence, the required sample size is 267.
Answer:
9
Step-by-step explanation:
The mode is the number that occurs most often. The number nine occurs 4 times.
Answer: how big is the cookie
Step-by-step explanation: