Answer:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:

If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that your bid will be accepted would be 0.41
Answer:
The probability is 3/95
Step-by-step explanation:
The probability that you will pick two pennies is
4
20
×
3
19
=
12
380
=
3
95
Subtract 8d from both sides
21 = 12d + 5 - 8d
Simplify 12d + 5 - 8d to 4d + 5
21 = 4d + 5
Subtract 5 from both sides
21 - 5 = 4d
Simplify 21 - 5 to 16
16 = 4d
Divide both side by 4
16/4 = d
Simplify 16/4 to 4
4 = d
Switch sides
d = 4
<u>Check answer</u>
8d + 21 =12d + 5
Let d = 4
8 × 4 + 21 = 12 × 4 + 5
Simplify 8 × 4 to 32
32 + 21 = 12 × 4 + 5
Simplify 12 × 4 to 48
32 + 21 = 48 + 5
Simplify 32 + 21 to 53
53 = 48 + 5
Simplify 48 + 5 to 53
53 = 53
NO it is not possible when dividing an irregular shape to polygons to overlap. Every polygon would be broken up in piece.
5000 pounds is equal to 2.5 tons because 1 ton is equal to 2000 pounds