Answer:
C=75.36
A=452.16
Step-by-step explanation:
C=2x3.14xr
×
×
A=3.14×
3.14x12x12=452.16
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error of the interval is given by:

In this problem, we have that:

99.5% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?
This is n when M = 0.07. So







A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Hi!
<h3>To divide a fraction, you multiply by the reciprocal of the second fraction.
</h3><h3>First, convert the mixed numbers to fractions, by multiplying the denominator by the whole number and adding that to the numerator. </h3>
---------------
2 * 7 = 14
14 + 1 = 15
15/7
---------------
4 * 1 = 4
4 + 1 = 5
5/4
---------------
<u>
</u>
<h2>The answer is 1 5/7 </h2>
Hope this helps! :)
-Peredhel
The level of precision is given by the number of decimal places.
1.45 has a precision of 2 ( two decimal digits)
.0034 has a precision of 4 ( 4 decimal digits)
Numbers that end in zeros have negative precision:
100: has a precision of -2 ( 2 zeros)
15 : Whole numbers has precision 0.
From most precise to least precise:
.0034 - 1.45- 15 - 100