10 different ways the awards can be rewarded.
You write the problem as a mathematical expression
3x^2 + 30x + 75 =
Factor: 3 out of 3x^2 + 30x + 75.
3 (x2 + 10x + 25)
Factor using the perfect square rule.
And then your answer should be 3 ( x + 5) ^2
Answer:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.
Step-by-step explanation:
Answer:
And we can find this probability with the following difference and using the normal standard table or excel we have:
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 variable of interest 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 following difference and using the normal standard table or excel we have:
Answer:
C (7 hours)
Step-by-step explanation:
366 divided by 6 = 61
(This proves they are going 61 mph)
427 divided by 7 = 61