Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A previous random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. How many citizens would need to be sampled if a 90% confidence interval was desired to estimate the true proportion to within 4%?

416

Step-by-step explanation:

Given that:

A previous random sample = 4000

Sample mean = 2250

The confidence interval level = 90%

Desired Margin of error E = 0.04

The level of significance at 90% C.I  = 1 - 0.90 = 0.10

The critical value

  ( From the  z tables)

n = 416.21

Thus, the number of citizens required to be sampled is 416

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.

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: