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Answer:
(a)
(b)
(i)probability that the product of the two numbers is a prime number=7/64
(ii)probability that the product of the two numbers is not a perfect square=56/64
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64
Step-by-step explanation:
(a) 8-sided fair die implies each die can have outcomes 1,2,3,4,5.6,7,8 with equal chances.
To draw the possibility diagram of the product of the two numbers appearing on the die in each throw, we put the outcomes of both dies side by side and find the product of possible outcomes.
(b) probability= Number of outcome / Total number of outcomes
(i)probability that the product of the two numbers is a prime number=8/64=1/8
based on sample space, the prime numbers are 2,2,3,3,5,5,7,7
(ii)probability that the product of the two numbers is not a perfect square=56/64=7/8
based on sample space, only 1,4,9,16,25,36,49,64 are perfect square
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64=5/8
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64=21/32
Answer with explanation:
Given : Number of men = 4
Number of women = 6
Total people =
Total number of ways to make a committee of five people from 10 persons :-
a) Number of ways to make committee that has exactly four women :
The probability that committee has exactly four women :
b) Number of ways to make committee that has at-least four women :
The probability that committee at-least four women :
c) Number of ways that committee has more than 4 women :-
The probability that committee has more than 4 women :-
Now, the probability that committee has at most four women :-
Answer:
Neither
Step-by-step explanation:
We need to transform one of the equations into its slope-intercept form:
y + 2/5x = 8
Subtract 2/5x from both sides:
y = -2/5x + 8
y = -5/2x - 7
Graphing both lines, they do intersect at point (-7.14, 10.86), but they are not parallel, nor are they perpendicular from each other. By definition, perpendicular lines must appear to be perpendicular (that is, they intersect at a 90° angle).
Looking at the attached graph (where the purple line is y = -2/5x + 8), their lines do not form a 90° angle.
Therefore, the correct answer is neither.
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