2a+3c=56, a+4c=49.50
2a+3c=56.00
-2(a+4c=49.50)
_______________
2z+3c=56
-2a-8c=99
____________
0+-5c=-43
-5c=-43
c= -43/-5
child ticket=8.60
now take c and plug the answer into the first equation: 2a+3c=56, 2z+3(8.60)=56, 2z+25.80=56, 2a=56-25.80, 2a= 30.20, a=30.20/2, adult tickets =15.10
Answer:
The closest to 36 would be 6in
The 8 box would be 64in²
The 10 box would be 100in²
Step-by-step explanation:
We have to square or square root the numbers
√36 is 6
8² is 64
10² is 100
Answer:
A sample of 1077 is required.
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 is of:

42% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So






Rounding up:
A sample of 1077 is required.
I think your supposed to add them all together or divide
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)