The surface area of the composite shape is 1560 square inches
<u>Step-by-step explanation:</u>
The surface area of the top cardboard is,
SA = 5 x area of each side
Because one side is attached with another cardboard box . So while finding the area only 5 sides are calculated.
SA = 5 ( 10 x 10)
= 500 square inches
The surface area of the rectangular prism cardboard,
Given that,
l = 20 in
w =15 in
h = 8 in
A = 2(lw + wh + hl) - 100
We are subtracting 100 because it is the area of one side of the square cardboard box on top of the rectangular prism box .
A = 2(300 + 120 + 160) - 100
= 2(580) - 100
= 1160-100
= 1060 square inches
Total surface area = SA + A
= 500 + 1060
= 1560 square inches
Answer:
x > - 3
Step-by-step explanation:
Given
3(x + 2) > x ← distribute left side
3x + 6 > x ( subtract x from both sides )
2x + 6 > 0 ( subtract 6 from both sides )
2x > - 6 ( divide both sides by 2 )
x > - 3
Answer:
1. 0.0000454
2. 0.01034
3. 0.0821
4. 0.918
Step-by-step explanation:
Let X be the random variable denoting the number of passengers arriving in a minute. Since the mean arrival rate is given to be 10,

1. Requires us to compute

2. We need to compute 




3. The expected no. of arrivals in a 15 second period is =
. So if Y be the random variable denoting number of passengers arriving in 15 seconds,


4. Here we use the fact that Y can take values
. So, the event that "Y is either 0 or
1" is a sure event ( i.e it has probability 1 ).

Answer:
-48
Step-by-step explanation:
Remember that if lines are parallel, they will have the same slope. Also, the number added or subtracted in the equation is the y intercept, or the y value when the x=0. They gave you the point (0,-7) so really, they just gave you the y intercept. How nice!! That means you just use the same slope as the original and then add -7 to it to get your equation. With that knowledge, you can now easily identify the correct answer!!