We're given the following probabilities:





(a) Yes,
and
are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.
(b) Use the definition of conditional probability to expand:


(c) By the law of total probability,

(d) Bayes' theorem says


Answer:
11)<em>(-1)</em>
<em>12)1.7</em>
Step-by-step explanation:
11)y+z/x
(-3)+(-2)/5
(-5)/5
<em> (-1)</em>
12)x-5z/y
5+5(-2)/(-3)
5+(-10)/(-3)
(-5)/(-3)
1.666
<em> 1.7</em>
<em></em>
<em>Hope this helps you</em>
<em>If you have any question just ask me</em>
Answer:
black = 0.28
white = 0.22
pink = 0.24
blue = 0.26
Step-by-step explanation:
Jason and his friend spun the spinner 100 times total. So for each time landed on a color, it can be counted as one percentage (for example, black had a 28% frequency). To transfer percentages to decimal form, simply bring the decimal point over by two spaces (28 becomes 0.28, something like 4 would become 0.04). Hope this helps! Feel free to ask any questions!
The computation of the word problem shows that the oranges will John have in 12 weeks will be 70 oranges.
<h3>How to solve the word problem?</h3>
The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks.
The computation will be:
= 10 + 5x
where x= number of weeks.
= 10 + 5x
= 10 + 5(12)
= 10 + 60
= 70 oranges
Learn more about word problems on:
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1530 ÷ 29.24 = 52.3256
i am a mathematics teacher. if anything to ask please pm me