<span>The correct answer is 1/78.
Explanation<span>:
There are 2 orange marbles out of 13 total marbles, so the probability of your first marble being orange is 2/13.
After this one is drawn, since it is not returned, the probability of getting a second orange marble is 1/12, since there is only 1 orange marble left out of 12 total marbles.
This gives us the total probability 2/13(1/12)=2/156=1/78.</span></span>
Answer:
the length = 18 feet and width = 9 feet
Step-by-step explanation:
Step 1:
Assume
Length of the rectangle = b
Width of the rectangle = a
Step 2:
As mentioned in the question length is double the width therefore;
b = 2*a
Step 3:
as mentioned in the question James need total 54 feet to cover the pool that means the perimeter of the pool is 54 feet therefore perimeter formula can be used as follows;
P = 2a + 2b
54 = 2a +2(2a) <equation from step 2 has been used for b>
54 = 2a + 4a
54 = 6a
a = 54/6
<u>a = 9 feet</u>
Step 4:
Now again use equation from step b to find out the length;
b =2a
take value of a from step 3
b = 2*9
<u>b = 18 feet</u>
Answer:
history test
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
He did better relative to the class in the test in which he had a higher Z score.
So:
History
Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. So we have 
So:



Biology
He received a score of 73 on a biology test for which the class mean was 70 with standard deviation 7. So we have 
So:



He had a higher Z score in the history test, so this is the test in which he did better relative to the rest of the class.