Solve for x. -3x + 4 = -2x + 0 A 4 B 0.25 С -4 D -0.25
2 answers:
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Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean :
Standard deviation:
Let x be the random variable that represent the heights of adult male.
z-score :
For x=70, we have
Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-
Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5
Answer:
mid point of AB (0.5 , 0)
Step-by-step explanation:
2x + 5y = 1 2x = 1 - 5y
y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5
y-y = y - 5y² + 5 - y = - 5y² + 5
0 = - 5y² + 5
5y² = 5
y² = 1
y = 1 or y = -1
if y = 1 x = 1/2 (1 - 5) = -2 .... point A (-2 , 1)
if y = -1 x = 1/2 (1 + 5) = 3 ..... point B (3 , -1)
mid point of AB (x' , y') : x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2
y' = 1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0
