Answer:
B
Step-by-step explanation:
Answer:
And using the normal standard table or excel we find the probability:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then, the distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

Let the money alleli initially had be x
Money after buying clothes = x-(1/2)x=(1/2)x
Money spent on shoes = (1/2)x × (1/3)x=(1/6)x
Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x
Also we know the remaining money is 1000
Therefore
(1/3)x = 1000
Multiplying 3 on both sides
X = 3×1000
X = 3000
The initial amount she had is 3000
Hope this is right!!
Answer:

Step-by-step explanation:
Given
x² + x
To complete the square
add ( half the coefficient of the x- term )² to x² + x
x² + 2(
)x + (
)² = x² + x + 
= (x +
)² ← perfect square