Answer:
60
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:
Reduce the expression by cancelling the common factors: 1/n
First of all,we have to cancel off the denominator.
times 2 to the equation in order to cancel off the denominator "2"
(x2) x+2x-6/5=6
#all numbers in this equation will be timed by 2 as well
then times 5 to cancel off the denominator"5"
(x5) 5x+10x-6=30
#all of them are timed by 5
then u will see this equation:
5x+10x-6=30
plus up the unknown numbers,
15x-6=30
Move the negative number "-6" to the back of 30.
When negative number moved to the other side,it will become positive number.
Same as when positive number moved to the other side,it will become negative number.
Thus,
"-6” moved
become positive "6"
Usually positive means plus"+" while negative means minus"-".
15x=30+6
15x=36
Move 15 to the opposite side,
Timed by 15 become divided by 15.
Just like the positive and negative numbers,they forced to become the opposite things.
positive→negative OR negative→positive
plus→minus OR minus→plus
times→divide OR divide→times
Thus,
x=36÷15
OR u can write as fraction,
x=36/15
x=12/5
final ans:
x=12/5 OR 2.4
Answer:
14.9 degrees
Step-by-step explanation:
For this problem you can use Tan∅=o/a and solve for the angle:
15.7 / 59 = 0.2661
Then use inverse tangent of 0.2661 to get 14.9.
