Minus 3 from the 3 and the 18
Answer:
And we can find this probability with the complement rule:
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 average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule:
Answer:
Average score per game = 60,000 per game
Step-by-step explanation:
Given:
Points scored in first game = 25,000
Points scored in second game = 125,000
Points scored in third game = 30,000
Find:
Average score per game
Computation:
Average = Sum of observation / Number of observation
So,
Sum of all game = 25,000 + 125,000 + 30,000
Sum of all game = 180,000
Number of games = 3
Average score per game = 180,000 / 3
Average score per game = 60,000 per game
Answer:
6
Step-by-step explanation:
If V = IR, then V = 40 * 3 in this case, which means V = 120. Quote question, "Assume voltage remains constant." This means V still equals 120 in the second scenario, which we can input into I = V / R to make I = 120 / 20 = 6.
Hope this helps!
Answer:
x + 2y ≤ 100 and x + 3y ≤ 400
Maximum profit = 6x + 5y.
Step-by-step explanation:
Let there be x number of small dishes and y number of large dishes to maximize the profit.
So, total profit is P = 6x + 5y .......... (1)
Now, the small dish uses 1 cup of sauce and 1 cup of cheese and the large dish uses 2 cups of sauce and 3 cups of cheese.
So, as per given conditions,
x + 2y ≤ 100 ........ (1) and
x + 3y ≤ 400 .......... (2)
Therefore, those are the constraints for the problem. (Answer)
