Answer:
.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So
In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So
In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now
Answer:
Step-by-step explanation:
Given that according to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81.
The probability that a randomly selected household speaks only Spanish at home is 0.12.
(a) the probability that a randomly selected household speaks only English or only Spanish at home
= 0.81+0.12 = 0.93
(since these two are disjoint sets)
(b) the probability that a randomly selected household speaks a language other than only English or only Spanish at home
= 1-0.93= 0.07 (remaining)
(c) the probability that a randomly selected household speaks a language other than only English at home
=1-0.81=0.19
(d) Can the probability that a randomly selected household speaks only Polish at home equal 0.08? Why or why not?
Polish alone can never exceed 1-(0.81+0.12) i.e. 0.70
At most it can take values as 0.7 only
So no is the answer.
The given expression is undefined when x = 5 OR x = -5
<h3>Undefined expression </h3>
From the question, we are to determine the value of x for which the given expression is undefined
The given expression is
x-4/3x²-75
An expression is undefined when the denominator equals zero
Thus, the expression is undefined when
3x² - 75 = 0
Now, we will determine the values of x in the equation above
3x² - 75 = 0
3x² = 75
x² = 75/3
x² = 25
x = ±√25
x = ±5
Hence, the given expression is undefined when x = 5 OR x = -5
Learn more on Undefined expression here: brainly.com/question/19815575
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On the 4th stage, 81 friends will be called to be told of the news
Answer:
4/5
Step-by-step explanation:
To get the answer, find the GCF (greatest common factor) of the numerator and the denominator. Once you have the GCF, divide the 12 and 15 by that number. Here, the GCF is 3.
