The perimeter is 30 units
A special roulette wheel, which has an equal number of red and black spots, has come up red four times in a row. Assuming that t
1 answer:
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Answer:
Probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is 0.83144 .
Step-by-step explanation:
We are given that according to the Bureau of Labor Statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with a standard deviation of 0.3 weeks.
Let X = randomly selected individual who was unemployed in 2000
Since distribution is approximately normal, so X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean = 12.7 weeks
= population standard deviation = 0.3 weeks
So, the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is given by = P(12 < X < 13) = P(X < 13) - P(X <= 12)
P(X < 13) = P( <
) = P(Z < 1) = 0.84134
P(X <= 12) = P( <
) = P(Z < -2.33) = 1 - P(Z <= 2.33) = 1 - 0.99010
= 0.0099
Therefore, P(12 < X < 13) = 0.84134 - 0.0099 = 0.83144 .
Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal =
Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0 ; x -2 = 0
2x =1 ; x = 2
x = 1/2
Number = 2 , and its reciprocal = 1/2