Jana is making greeting cards that are 4 inches long and 3.5 inches wide to sell at a craft fair. She decorates each card by put
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Answer:
39%
Step-by-step explanation:
It is given that 35 apartments have balconies in them.
While 55 apartments do not have balconies in them.
Total number of balconies is the sum of the apartments. i.e. 35 + 55
= 90 apartments
Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.
i.e.
= 0.38888888
Multiplying by 100, we get
= 0.388888 x 100
= 38.8888 %
= 39 %
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: