Answer:
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Answer:
Probability both are nervous around strangers = 0.0049
Probability at least one is nervous around strangers = 0.1302
Step-by-step explanation:
Let probability a person selected in the population is nervous around strangers = P
P = 7%
P = 
P = 0.07
Let probability a person selected in the population is not nervous around strangers = P'
P' = 1 - P
P' = 1 - 0.07
P' = 0.93
(i) probability of the first person selected is nervous around strangers = P
probability of the second person selected is nervous around strangers = P
Probability both are nervous around strangers = (P × P)
= 0.07 × 0.07
= 0.0049
(ii) Probability at least one is nervous around strangers = ( probability the first person is nervous around strangers AND the second person is not nervous around strangers ) OR ( probability the second person is nervous around strangers AND the first person is not nervous around strangers)
This implies,
Probability at least one is nervous around strangers = (P × P') or (P × P')
= (0.07 × 0.93) + (0.07 × 0.93)
= 0.0651 + 0.0651
= 0.1302
Multiplicative inverse of 1/2 = 2/1 = 2
Thus, the multiplicative inverse of 1/2 is 2.
Answer:
B
Step-by-step explanation:
Parallel lines have the same slope while perpendicular lines have slopes which are negative reciprocals.
Here the slope of line m is 5/3.
Here the slope of line n is -3/5.
These lines are perpendicular.
Line n crosses through point k and can be shown through substitution. Substitute (5,-4) into line n.
y = -3/5 x - 1
-4 = -3/5(5) - 1
-4 = -15/5 - 1
-4 = -3 - 1
-4 = -4
The solution is B where n passes through K and the lines are perpendicular.