Answer:
13
Step-by-step explanation:
The closest multiple of 6 less than 80 is 13.
13×6=78
How many are left over?
80 - 78 = 2
remains, and this can be simplified to 
13
Hope this helps!! (I know it sounds a little complicated but it's easy to understand it with practice :)
Answer:
The 95% confidence interval for the population mean rating is (5.73, 6.95).
Step-by-step explanation:
We start by calculating the mean and standard deviation of the sample:

We have to calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=6.34.
The sample size is N=50.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the mean is (5.73, 6.95).
Answer:
Step-by-step explanation:
SOHCAHTOA
Sine is opposite over hypotenuse
Cosine is adjacent over hypotenuse
Tangent is opposite over adjacent
In this context, opposite means the side opposite of the angle. Adjacent means the side that is touching the angle. And the hypotenuse is the longest side, which is usually visually obvious.
3.) tan(25) = x/31
Use a calculator for tan(25), then multiply both sides by 31 to get your x value.
x = 14.5
4.) cos(48) = 17/x
Use a calc to do 17/cos(48) to get the x value
x = 25.4
5.) sin(theta) = 17/18
Divide 17/18, then take the inverse sine of both sides with a calculator to get the theta value
theta = 70.8 degrees
6.) tan(theta) = 31/42
Divide 31/42, then take the inverse tangent of both sides with a calc.
theta = 36.4 degrees
7.) Your best bet is to draw a picture. For my case, Im going to imagine it. The angle is 35 degrees and the hypotenuse is 300 feet. The question is asking for the opposite of the angle. This calls for sine.
sin(35) = x/300
x = 172.1 feet