Answer: 1 ) 20.58 cm^3
2 ) $0.09
3 ) $ 0.41
Step-by-step explanation:
Answer:

And the value for n rounded up would be n = 174
Step-by-step explanation:
We have the following info given:
previous estimation for the deviation
the margin of error desired
represent the confidence
The Margin of error is given by:

If we solve for the value of n we got:

For this problem we know that the confidence is 98% so then the significance level would be
and the critical value would be:

And replacing we got:

And the value for n rounded up would be n = 174
The formula for the volume of a cylinder is

We know the diameter, so we can easily find the radius. The diameter is twice as long as the radius, so we divide the diameter by 2 to find the radius. This is equal to 6/2 = 3. Now, we plug our numbers into the formula.

This could also be written:

Both 27 pi cubic meters and 84.82 cubic meters are correct answers, so choose whichever one you think your teacher would prefer.
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
The answer would be the third one because you cannot change the denominator and you can only add the numerators