Answer:

Step-by-step explanation:
The volume of a prism is given by the following equation:

In our case, the base is a triangle, so the area is given by:

The base of the triangle is 43 cm, the height of the triangle is b, the height of the prism is 24 and the volume of the prism is 38,184, so we have:




Alan is 14 years old
He is twice as old as James
then Alan is the elder brother
Alan is twice as old means his age is double the age of James
Alans age = 2 x james age
that means James must be half of Alans age
Alans age = 14 years
James age = 14 / 2 = 7 years
therefore James is 7 years old
6:1 , basically asking the ratio of one to the other. Understand?
9514 1404 393
Answer:
arithmetic; common difference of 5
Step-by-step explanation:
It usually works well to check differences first. Here, they are ...
8 -3 = 5
13 -8 = 5
These are the same value, so the sequence is arithmetic with a common difference of 5.
Answer:
The point estimate used was of $69,821.
The error bound is of $101.
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The error bound is half the difference between these two values.
In this question:
90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922.
Point estimate:
(69720+69922)/2 = 69821
The point estimate used was of $69,821.
Error bound:
(69922 - 69720)/2 = 101
The error bound is of $101.