What is the word problem?
Answer: what u mean lol
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
Here, we have two different samples, hence, to obtain the confidence interval, we use the relation for the confidence interval for two sample means ;
(x1 - x2) ± Margin of error
Where, (x1 - x2) = point estimate of the sample mean, this is the difference in mean of the two samples.
From the question ;
x1 = 1150 ; x2 = 1113
Hence, the point estimate is : (1150 - 1113) = 37
Answer/Step-by-step explanation:
Given:
C = right angle = 90°
BC = a = ?
AB = c = 12
AC = b = 9
Required:
a, <A, and <B
Solution:
✔️Find a using Pythagorean Theorem:
a = √(c² - b²)
a = √12² - 9²) = √63
a = 7.93725393 = 8 (nearest whole number)
✔️Find A by applying trigonometric ratio:
Thus,
Reference angle = A
Hypotenuse = 12
Adjacent = 9
Therefore,
m<A = 41° (nearest whole number)
✔️Find B:
m<B = 180 - (90 + 41) (sum of interior angles of triangle)
m<B = 49°
Answer:


Step-by-step explanation:
Let s be the number of pages in each issue of the sports magazine, and t be the number of pages in each issue of the technology magazine.
We have been given that Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. We can represent this information in an equation as:

We are also given that sports magazine prints 12 issues per year, so the total number of pages in all the issues of sports magazine will be 12*s.
We are given that a technology magazine prints 10 issues per year, so the total number of pages in all the issues of technology magazine will be 10*s.
Further, the total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.
We can represent this information in an equation as:

Therefore, our desired system of equations will be:

