Answer:
<em>(d) sin G = 15/17</em>
Step-by-step explanation:
For angle G, opp = 15, adj = 8, hyp = 17.
cos G = adj/hyp = 8/17
sin G = opp/hyp = 15/17
Answer: (d) sin G = 15/17
Answer:
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Step-by-step explanation:
We have the standard deviation for the population, so we can use the normal distribution. If we had the standard deviation for the sample, we would have to use the t-distribution.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 30 - 1.68 = 28.32 characters.
The upper end of the interval is the sample mean added to M. So it is 30 + 1.68 = 31.68 characters.
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Answer:
Michelle. 70cm³
Step-by-step explanation:
Michelle's popcorn volume: 10cm x 10cm x 13.5cm = 1350cm³
Beyunka's popcorn volume: 8cm x 8cm x 20cm = 1280cm³
Therefore, Michelle's popcorn container can hold more.
1350 - 1280 = 70cm³