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:
Answer:
x = 30
Step-by-step explanation:
x/-5 = -6
x = -6(-5)
x = 30
Answer:
<u>x² + 8x + 16</u>
Step-by-step explanation:
You can draft the Pascal's Triangle as below;
Exponent
1-----------------------0
1 1 -------------------1
1 2 1 ------------------2
1 3 3 1 -----------------3
According to the question, we use values for exponent 2 because (a+b)²
Given (x+4)²...................................expand
x² × 4⁰ + x¹ × 4¹+ x⁰ × 4²
x² × 1 + x × 4 + 1 × 16
x² + 4x + 16---------------------------------introduce values in exponential 2 of the table which are 1 2 1
x² × 1 + 2 × 4x + 16 × 1
⇒ <u>x² + 8x + 16</u>
Answer:
36-0.2d
Step-by-step explanation:
d refers to the number of days
This should work for your question if not I'm very sorry