Answer:
No solution
Step-by-step explanation:
The z-score for the point x = 22.5 is: z = (x - m) / s = (22.5 - 20) / 2.5 = 1. The probability that z > 1, determined from z-tables, is p (z > 1) = 0.1587. If 13.59% of people score higher than the friend, but not higher than you, this means that only 0.1587 - 0.1359 = 0.0228 of people scored higher than you. Checking the z-table for the z-score for which p (z > z_cutoff) = 0.0228, z_cutoff = 2. Therefore this z_cutoff of 2 corresponds to x = m + zs = 20 + 2(2.5) = 25, which would be your score on the test.
Answer is A. 18
EXPLANATION-
Its Simplifying
(9x + -44) = (6x + 10)
Reorder the terms:
(-44 + 9x) = (6x + 10)
Remove parenthesis around (-44 + 9x)
-44 + 9x = (6x + 10)
Reorder the terms:
-44 + 9x = (10 + 6x)
Remove parenthesis around (10 + 6x)
-44 + 9x = 10 + 6x
Solving
-44 + 9x = 10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-44 + 9x + -6x = 10 + 6x + -6x
Combine like terms: 9x + -6x = 3x
-44 + 3x = 10 + 6x + -6x
Combine like terms: 6x + -6x = 0
-44 + 3x = 10 + 0
-44 + 3x = 10
Add '44' to each side of the equation.
-44 + 44 + 3x = 10 + 44
Combine like terms: -44 + 44 = 0
0 + 3x = 10 + 44
3x = 10 + 44
Combine like terms: 10 + 44 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
Answer:
3/π Hz
Step-by-step explanation:
Recall that for a cos function in the form
y = A cos Bx
period = 2π / B
frequency = 1/period = B/2π
Given y = -5 cos 6x
A = -5 and B = 6
frequency,
= B / 2π
= 6 / 2π
= 3/π