Answer: A. The difference of the two means is significant at the 68% confidence level, so the null hypothesis must be rejected.
Step-by-step explanation:
I just got it right on PLATO, so I know it’s 100% correct.
Answer:
x^3 -9x^2 +14x +24
Step-by-step explanation:
(x-4)(x^2 - 5x - 6)
Multiply the x by everything in the second term
x * (x^2 - 5x - 6)
x^3 -5x^2 -6x
Multiply the -4 by everything in the second term
-4 * (x^2 - 5x - 6)
-4x^2 +20x +24
Add everything together
I like to line them up vertically
x^3 -5x^2 -6x
-4x^2 +20x +24
-------------------------------
x^3 -9x^2 +14x +24
Here's how to find the value of x:
<span>9 - 0.75 ( x + 8 ) - 5 = -6.5 find the difference of 9 - 0.75
</span><span>8.25 ( x + 8 ) - 5 = -6.5 add 5 to both sides
</span>
8.25 ( x + 8 ) = -1.5 distribute 8.25 to x and 8
8.25x + 66 = -1.5 subtract 66 from both sides
8.25x = -67.5 divide both sides by 8.25
x = 18.18181818...... the value of x is 18 2/11
hope this helps
Answer:
32.40cm²
Step-by-step explanation:
Given the parallelogram ABCD ;
side AB is always Parallel to CD, hence ;
AB = CD = 7.2cm
Perpendicular from C on AB is the height of the parallelogram = 4.5cm
Area of a parallelogram : base * height
Area of a parallelogram = length base * height
Area of a parallelogram = 7.2 cm * 4.5cm
Area of parallelogram = 32.40cm²
Answer: it will take 6 months for both gyms to cost the same.
Step-by-step explanation:
Let m represent the number of months that it will take for the cost of both gyms be the same.
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is
12 + 20m
At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m
For both costs to be the same, the number of months would be
12 + 20m = 22m
22m - 20m = 12
2m = 12
m = 12/2 = 6