Answer: 31) d 32) c
<u>Step-by-step explanation:</u>
31)
A = {1, 3, 5, 15}
B = {2, 3, 5, 7}
A ∪ B = {1, 2, 3, 5, 7, 15}
C = {2, 4, 6, 8}
(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}
<em>2 is the only number in both sets</em>
32)
The pattern is: reflection, add symbol, ..., reflection, add symbol.
The last image shown is: add symbol
So the next image will be: reflection (flipped to the left)
Answer:
Binomial
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.
Step-by-step explanation:
For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
Of the 20 copies, 2 are defective, so
.
What is the probability that you will encounter neither of the defective copies among the 10 you examine?
This is P(X = 0) when
.


There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.
Answer:
70
Step-by-step explanation:
Answer:
the value is 2.2721803393 x 1400
Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192
expanding we get;
x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13
the numbers are 13 and 19.
hope this helps, God bless!