The average score of all the students in both classes is 84.
<h3>How to calculate the average?</h3>
The class with 30 students had an average score of 80 on a test. The total score will be:
= 30 × 80
= 2400
A class with 20 students had an average score of 90 on the same test. The total score will be:
= 20 × 90
= 1800
Total scores = 2400 + 1800 = 4200
Number of students = 20 + 30 = 50
The average score will be:
= Total score / Total students
= 4200 / 50
= 84
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Mean- 6.22
Median- 5
Mode- 11 (appears 2 times)
Range- 14
Answer:
1.7
Step-by-step explanation:
1/2 (2 x anything) = anything
1/2 cancels out the 2
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this question:

P(x>10)

In which






So P(x > 10) = 0.6981.
A geometric series like

Converges if and only if
. If this is the case, the sum equals

So, in your case, you have convergence if and only if

And if this is the case, the sum equals
