Answer: 95% confidence interval would be (0.555,0.745).
Step-by-step explanation:
Since we have given that
n = 97
x = 63
So, we get that
At 95% confidence interval , z = 1.96
so, Margin of error would be
So, interval would be
Hence, 95% confidence interval would be (0.555,0.745).
A=p(1-0.12)^t
A=45×(1−0.12)^(1)
A=39.6
The best way to multiply complicated problems mentally* is to break them into chunks.
Start with 20 times 8 to get 160, and then 8 times 5 to get 40. Add these together to get 200. 200 times 3 is 600, and 20 times 200 is 4000. Add these together to get your final answer, 4600.
In other words 8 x 20 + 8 x 5 = 200 200 x 3 + 200 x 20 = 4600
*I assumed you meant mentally, because otherwise you'd just multiply longhand, multiplying two of the three numbers and then multiplying their product with the third.