Answer: x > 6
Step-by-step explanation: -4(2x+2) < -40
-8x - 8 < -40
+8 +8
-8x < 48
/-8x /-8x
x > 6 *The less than sign got flipped to a greater than sign because we divided by a negative.
Answer:

Step-by-step explanation:
Given points are 
And given transformation is

We will start from left to right.
First transformation is reflection about x-axis.
When we reflect about x-axis 
So, ![(-1,-8)=[-1,-(-8)]=(-1,8)](https://tex.z-dn.net/?f=%28-1%2C-8%29%3D%5B-1%2C-%28-8%29%5D%3D%28-1%2C8%29)
Now next transformation is dilation with a factor 4.
If we do dilation with a factor
to the point 
New co-ordinates after dilation became 
So, 
V=xyz where x,y,z are the three dimensions...
V=(1 4/5)(1 4/5)1
V=(9/5)(9/5)=81/25
V=3 6/25 ft^3
Answer:
1. 0.9544
2. 0.0228
3. 0.0228
Step-by-step explanation:
The computation is shown below;
As we know that
At Normal distribution

As per the question, the data provided is as follows
Mean = 24.4 minutes
Standard deviation = 6.5 minutes
Based on the above information
P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)
= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)
= P(Z < 2) - P(Z < -2)
= 0.9772 - 0.0228
= 0.9544
2. P(X < 11.4) = 0.0228
3. P(X ≥ 37.4) = 1 - P(X < 37.4)
= 1 - 0.9772
= 0.0228