Can someone help me figure this out
2 answers:
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Answer:
Cesar will be doing 15 research reports during the school year.
Step-by-step explanation:
Given:
Number of research report completed = 3
Percentage of the report completed for school year = 20%
We need to find total number of research report completed during school year.
Solution:
Let the total number of research report completed during school year be 'x'.
Now we can say that;
Number of research report completed is equal to Percentage of the report completed for school year multiplied by total number of research report completed during school year and then divided by 100.
framing in equation form we get;
Dividing both side by 0.2 we get;
Hence Cesar will be doing 15 research reports during the school year.
Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is =
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is if first draw was successful, and
if the first number was multiple of three.
Answer:
The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.
There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.
Step-by-step explanation:
This can be solved by the the z-score formula:
On a normaly distributed set with mean and standard deviation
, the z-score of a value X is given by:
Each z-score value has an equivalent p-value, that represents the percentile that the value X is:
The problem states that:
Mean = 35, so
Variance = 81. The standard deviation is the square root of the variance, so .
Find the 33rd percentile of the time it takes Finn to get to work on any given day. Do not include any units in your answer.
Looking at the z-score table, has a pvalue of 0.333. So what is the value of X when
.
The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.
Over the next 2 days, find the probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.
is the probability that Finn took more than 40.5 minutes to get to work on the first day. The first step to solve this problem is finding the z-value of
.
has a pvalue of 0.7291. This means that the probability that it took LESS than 40.5 minutes for Finn to get to work is 72.91%. The probability that it took more than 40.5 minutes if
is the probability that Finn took more than 38.5 minutes to get to work on the second day. Sine the probabilities are independent, we can solve it the same way we did for the first day, we find the z-score of
has a pvalue of 0.6517. This means that the probability that it took LESS than 38.5 minutes for Finn to get to work is 65.17%. The probability that it took more than 38 minutes if
So:
There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.