For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
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:
The 90% confidence interval for the support of Sanders by millenials is between 53% and 57%.

Step-by-step explanation:
In this question we have to calculate a confidence interval (90% CI) on the proportion of millenials that had a favorable opinion on Sanders.
The sample size is n=1,754.
The p-hat, taken from the poll, is

The estimated standard deviation is equal to:

For a 90% CI, the z-value is z=1.645.
Then, the confidence interval is

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
Answer:
20
Step-by-step explanation: