These are the steps for transforming y=1/x to y=1/4x -12:
Step 1: Compress the original function by 4 in x direction. This will yield,
y= 1/4x
Step 2: The resulting function in step 1 is moved down by 12 spaces. The resulting function will be;
y= 1/4x -12
Answer:
2=70 ,4=42, 6=75
Step-by-step explanation:
Subtract each number by 90 to find the missing complementary angle.
Solve for R:
R + 3 = -(1/2 + 6)
Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = (2×6)/2 + 1/2:
R + 3 = -(2×6)/2 + 1/2
2×6 = 12:
R + 3 = -(12/2 + 1/2)
12/2 + 1/2 = (12 + 1)/2:
R + 3 = -(12 + 1)/2
12 + 1 = 13:
R + 3 = -13/2
Subtract 3 from both sides:
R + (3 - 3) = -13/2 - 3
3 - 3 = 0:
R = -13/2 - 3
Put -13/2 - 3 over the common denominator 2. -13/2 - 3 = (-13)/2 + (2 (-3))/2:
R = (-13)/2 - (3×2)/2
2 (-3) = -6:
R = (-6)/2 - 13/2
(-13)/2 - 6/2 = (-13 - 6)/2:
R = (-13 - 6)/2
-13 - 6 = -19:
Answer: R = (-19)/2
Answer and Explanation:
Her alternative hypothesis is that there is some difference between the means of the ages of the audiences of the two television programs. That is, the mean ages of the two audiences are not the same.
If the mean of the ages of the audiences of television programme 1 (COPS) is xbar₁
And the mean of the ages of the audiences of the television programme 2 (60 minutes) is xbar₂
Her alternative hypothesis can be represented mathematically as
xbar₁ - xbar₂ ≠ 0