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:

35/8 = 4.376 5/3 = 1.666… 4.376/1.666…
Therefore 2.625 pieces
Answer:
The probability of that happening is 1/22
Step-by-step explanation:
In order to find the probability, you need to start by finding the probability for each step. The probability of the first one being red is the number of red marbles divided by the total number of marbles.
3 red / 12 total.
3/12
1/4
Now the chance that the second is white is the total number of white marbles divided by how many are left in the bag.
4 white / 11 left
4/11
Lastly, the chance of the last one being blue is the number of blue marbles divided by the amount of total marbles left after two pulls.
5 blue/ 10 left
5/10
1/2
Now to find the overall probability of all 3 happening, we multiply all 3 probabilities together.
1/4 * 4/11 * 1/2 = 1/22
Answer:
3x-9 is the answer on edgenuity:)
Step-by-step explanation:
Answer:
210 yd²
Step-by-step explanation:
If we rotate the shape we get a right angle triangle with a hypotenuse of 29 yd :
The area of a right angle triangle is given by the formula :
A =
Substituting the 2 values given in diagram gives us :
A =
= 420÷2 = 210
Our units will be yd² as we are dealing with area