Answer:
9/16
Step-by-step explanation:
First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:
volume ratio = dimension ratio ^3
surface area ratio = dimension ratio ^2
The volume ratio between small prism and the large prism is 27 / 64.
To find the dimensions ratio, we need to take the cubic root of the volume scale:
dimension ratio = 3√(27/64) = 3/4
Now, to find the surface area ratio, we just need to make the square of the dimension ratio:
surface area ratio = (3/4)^2 = 9/16
Answer:
0.00939495805 about 0.01
Step-by-step explanation:
basically solving for arccos(8.5/9.9) in degrees, had to run through calculator
<u>Top row - Left Row :</u>
Order : Left to Right
{11.7 - below(negative)} , {11.6 - below(negative)} , {12 - exactly filled} , {12.2 - above(positive)}
<u>Middle Row </u>:
Order : Left to Right
{11.1 - below(negative)} , {11.2 - below(negative)} , {11.9 - below(negative)} , {12.5 - above(positive)}
<u>Right Row </u>:
Order : Left to Right
{12 - exactly filled} , {11.4 - below(negative)} , {11.5 - below(negative)} , {10.8 - below(negative)}
Answer:
61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
Step-by-step explanation:
Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.
To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?
Solution :
At 95% confidence the z-value is z=1.96
The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes
The population standard deviation is s=12 minutes
n is the number of sample
The formula of margin of error is given by,
Substitute the value in the formula,
Squaring both side,
Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
