Step-by-step explanation:
25.2 + 800 - 427.43 x 2.4 ÷ 13
825.2 - 1025.832 ÷ 13
200.632 ÷ 13
= 15.44
Simplify 5x-3-7 to -2x-3
-2x-3=15-x
Add 2x on both sides
−3=15−x+2x
Simplify 15-x+2x to 15+x
−3=15+x
Subtract 15 on both sides
-3-15=x
Simplify -3-15 to -18
-18=x
X=-18
Answer:

Explanation:
You need to find the probability that exactly three of the first 11 inspected packages are damaged and the fourth is damaged too.
<u>1. Start with the first 11 inspected packages:</u>
a) The number of combinations in which 11 packages can be taken from the 20 available packages is given by the combinatory formula:


b) The number of combinations in which 3 damaged packages can be chossen from 7 damaged packages is:

c) The number of cominations in which 8 good packages can be choosen from 13 good pacakes is:

d) The number of cominations in which 3 damaged packages and 8 good packages are chosen in the first 11 selections is:

e) The probability is the number of favorable outcomes divided by the number of possible outcomes, then that is:

Subsituting:


<u>2. The 12th package</u>
The probability 12th package is damaged too is 7 - 3 = 4, out of 20 - 11 = 9:
<u>3. Finally</u>
The probability that exactly 12 packages are inspected to find exactly 4 damaged packages is the product of the two calculated probabilities:

25% or 1/4 because 5 is 25 percent of 20 and if you change 25% into a decimal you get .25 which is equivalent to 1/4