Answer:
It will cost $12.5 per person to charter a bus for 36 passengers
Step-by-step explanation:
The cost per person c of chartering a tour bus varies inversely as the number of passengers n.
We can write:
where k is constant of proportionality
We are given when c = 22.50, n = 20
We need to find c when n = 36
First using c = 22.50, n = 20 we will find k, the constant of proportionality
So, we get k = 450
Now, we will find c when n = 36
So, we get the value of c: c = 12.5
Therefore, It will cost $12.5 per person to charter a bus for 36 passengers
Answer:
C
Step-by-step explanation:
112 divided by 4 equals 28
Answer:
The solution of the given system is (x,y) = (1,4)
Step-by-step explanation:
Here, the given system of equation is:
x = -3 + y
26 x - 5 y = 6
Now, substitute x = -3 + y in the second equation , we get
26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6
or, 26(-3) + 26(y) - 5y = 6
⇒ - 78 + 26 y - 5y = 6
⇒ 21 y = 84
⇒ y = 84 / 21 = 4 or , y = 4
So x = -3 + y = -3 + 4 = 1
Hence, the solution of the given system is (x,y) = (1,4)
E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size
Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))
Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))
Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.
Answer:
x = 5
Step-by-step explanation:
12x - 6 + 6 = 54 + 6
12x = 60
12/12 = 60/12
X = 5
