2cos^2 x + 3sin x = 0
2(1 - sin^2 x) + 3sin x = 0
2 - 2sin^2 x + 3sin x = 0
2sin^2 x - 3sin x - 2 = 0
Let sin x = m, then
2m^2 - 3m - 2 = 0
2m^2 + m - 4m - 2 = 0
m(2m + 1) - 2(2m + 1) = 0
(m - 2)(2m + 1) = 0
m = 2 or m = -1/2
Now, sin x = -1/2
Therefore, x = 1/6(12nπ - π) and 1/6(12nπ + 7π)
Given:
The frequency distribution table.
To find:
The mean average score on a test.
Solution:
The frequency distribution table is

x a xa
y b yb
z c zc
Sum a+b+c xa+yb+zc
Now, the mean average score on the test is


Therefore, the mean average score on the test is
.
Answer:
112
Step-by-step explanation:
I am not 100% sure because I can't see information given on the shape, but assuming it is equal angles
Three values that would make this true:
5
4
3
Answer:
A
Step-by-step explanation:
44.99+299.49 = $344.38
$344.38 - store card ($75) = $269.48
422.76 - 269.48 - 2.5 = $150.78
Therefore answer is A