Answer:
30x + 30y +30
Step-by-step explanation:
Volume of rectangular prism of l•w•h
9=1.5 • 3 • X
Find X
9/1.5 = 6
6/3= 2
The height is 2 feet
Answer:
D
Step-by-step explanation:
the n th term ( explicit formula ) of a geometric sequence is
•
= 

where r is the common ratio and
the first term
here r =
=
=
and
= 64, hence
= 64
→ D
Answer:
A sample size of 6755 or higher would be appropriate.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error M is given by:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
52% of Independents in the sample opposed the public option.
This means that 
If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Sample size of size n or higher when
. So







A sample size of 6755 or higher would be appropriate.
Answer:
77.88 minutes
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
For 80% of student to complete the exam. In the given time
Using the formula :
Zscore = (X - mean) / standard deviation
80th percentile = 80/100 = 0.8 has a Zscore = 0.7881
0.7881 = (X - 70) /10
0.7881 * 10 = X - 70
7.881 = X - 70
7.881 + 70 = X
77.881 = X
Hence, 77.88 minutes should be given