Melissa has 14 reports to file. If each report takes an average of 1 hour and 15 minutes to file, how long will it take her to f
1 answer:
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Answer: the probability is 0.13
Step-by-step explanation:
First, each question has 5 options and only one is correct.
Then, selecting at random, the probability of getting a correct answer is equal to:
p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)
Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;
p = (0.20^4)*(0.80^26)
But we also need to multiply this by the total number of combinations.
This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.
Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is
In this case, N = 30 and K = 4.
Then the probability of getting exactly 4 correct answers is:
P = (0.20^4)*(0.80^26)*27,405 = 0.13
Answer:
6 and 14
Step-by-step explanation:
The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )
adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then
3x + 1 : 7x + 7 = 1 : 3
Expressing the ratio in fractional form
=
( cross- multiply )
3(3x + 1) = 7x + 7
9x + 3 = 7x + 7 ( subtract 7x from both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus the numbers are
3x = 3(2) = 6
7x = 7(2) = 14