Answer:
1/3
Step-by-step explanation:
Each friend gets 1/3 of an apple
Answer:
Equation: 7x - 23 = 25 + x
Solution: x = 8
Step-by-step explanation:
7x - 23 = 25 + x
1. Subtract 25 from both sides:
7x - 23 - 25 = 25 - 25 + x
7x - 48 = x
2. Subtract 7x from both sides to get x on one side:
7x - 7x - 48 = x - 7x
- 48 = -6x
3. Divide both sides by -6 to get x by itself:
8 = x
8 is the solution
4 + 2h < -3
2h < -7
h < -3.5
x ∈ (-∞, -3.5)
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:

42/12 = 3.5, 63/18 = 3.5, therefore we will be multiplying the last time by 3.5. 40x3.5= 140, and therefore, the number of pencils produced in 40 seconds is 140