Answer:
There were 172 guests that were children and 278 guests that were adults
Step-by-step explanation:
Step 1: State what is known
It is $25 per adult
It is $12 per child
The made $9014 dollars
There were 450 guests
Step 2: Define equations
25y + 12x = 9014 -----1
x + y = 450 ------------2
Step 3: Rearrange equation 2 for x
x + y = 450
x = 450 - y --------------3
Step 4: Substitute 3 into 1 for y and solve for y
25y + 12(450 - y) = 9014
25y + 5400 - 12y = 9014
13y = 3614
y = 3614/13
y = 278
Step 5: Substitute y = 278 into 3 to solve for x
x = 450 - (278)
x = 172
Therefore 172 children and 278 adults visited the museum
Answer:
D. insufficient data
Step-by-step explanation:
We need to know the number of assignments in each class before we can tell the probability of interest.
__
If we assume the same number of assignments in each class, then 25.1% of on-time assignments were in physics. We note this is not an answer choice, further confirming we have <em>insufficient data</em>.
We are given to understand as per the problem that one must save 10% of their take home pay.
Reggie's take home pay is $2,340 per month
As per the rule Reggie must save 10% of 2,340 per month = 0.10*2,340 = $234 per month
Since we need to know the savings in a year, we have to multiply the monthly savings by 12 since there are 12 months a year
Minimum amount per year that he should save = $234 *12 = $2,808
Minimum amount per year that he should save = $2,808
Answer:
B. 
Step-by-step explanation:
The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:
(1)
If we know that 
and 
, then the formula for the approximate population in the region is:
![T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]](https://tex.z-dn.net/?f=T%28x%29%20%3D%20%5B2.9%5Ccdot%20%281.05%29%5E%7Bx%7D%5D%5Ccdot%20%5B%281.05%29%5E%7B3%5Ccdot%20x%20%2B%205%7D%5D)
Hence, correct answer is B.
Answer:
C. 67.5 to 72.
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 width of the interval is determined by it's margin of error, which is given by the following formula:
So, as n increases, the margin of error decreases, and the interval gets smaller.
Using 10,000 bootstrap samples for the distribution:
We increase the sample size, which means that the interval gets smaller.
We had 67 to 73, since it got smaller, it will be from a value higher than 67 to a value lower than 73.
So the correct answer is:
C. 67.5 to 72.
