Step-by-step explanation:
We need to find the height of the triangle first.
Height=>sin(60°)=h/3 but sin(60°)=√3/2
h=3×√3/2=3√3/2
Area=½×base×height
A=½×3×3√3/2
A=9√3/4
Answer is option A
The answer is x=−4 and y=−3
The sample size needs to be 96.
First we find the z-score for this confidence interval:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1 - 0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1 = 0.025 = 0.975
Using a z-table (http://www.z-table.com) we look up this value in the chart; the z-score that goes with this value is 1.96.
Now we use the formula
It is not written in scientific notation because there should be a decimal in 44 in order to be correct. It should be 4.4 x 10 ^8