Convert 1/5 to it's equivalent decimal and percent
2 answers:
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Answer:
a)
b) She needs 5 consecutive free throws in order to raise her percent to
85 %
Step-by-step explanation:
We know that a basketball player made 12 out of 15 free throws she attempted.
We can calculate its percent of successful free throws as :
%
Now, If she wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85 % we can write :
(I)
In the equation (I) ''n'' represents the number of consecutive free throws she must have to raise the percent to 85 %.
We answer
a)
b) Now we need to solve the equation (I) :
⇒
⇒
⇒
⇒
We found out that she needs 5 consecutive free throws to raise the percent of successful free throws to 85 %.
We can verify by replacing the value of ''n'' in the equation (I) ⇒
⇒
⇒
Answer:
0.02% probability a password chosen at random is 7654
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the numbers are chosen is important. For example, 7654 is a different password than 6754. So the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
What is the probability a password chosen at random is 7654?
Only one desired outcome(password 7654), so
Total outcomes:
4 numbers from a set of 10. So
Probability:
0.02% probability a password chosen at random is 7654