Asimple random sample has a sample size of n=65. given the population is normally distributed, find the critical value t_a/2 corresponding to a 99% confidence level.

2.6549

Step-by-step explanation:

Since the sample size n=65, the degrees of freedom is n-1=65-1=64

The critical value=

Using the t-table and selecting df=64 and since it’s a 2 tail the corresponding t-score is 2.6549

Therefore, the critical value is 2.6549

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.