Answer:
Step-by-step explanation:
<R=<P=70degrees
<Q=180-70=110 degrees
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.316.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.316
The critical value that should be used in constructing the confidence interval is T = 1.316.
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds
The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.
Answer:
96 meatballs are required
Step-by-step explanation:
We know that the formula for he catering business is

Where
c= the number of children, m=the number of meat balls, a= the number of adults
So if
and
then



Finally 96 meatballs are required for the party
Answer:
(10,0)
Step-by-step explanation:
When it comes to rotations by 90 degrees or 270 degrees, you just have to switch the order of x- and y- coordinates. Then find the sign by considering which quadrant will it be. In this case, it is originally on the positive y-axis and now it would be +ve x-axis.
Answer:
2400
Step-by-step explanation:
x+y+z=147
x+(x+1)+(x+2)=147
3x+3=147
3x=144
x=48
The three consecutive positive numbers are 48, 49, and 50.
48 • 50 = 2400