Tell wether the ordered pair is a solution of y=-3x+9 (2,3) and (1,3)
1 answer:
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Answer:
Step-by-step explanation:
28. Area of the circle = π where r is the radius of the circle.
Given diameter = 14m, therefore radius = = 7m
Now area of the circle = 49 or = 49 * 3.14 * 3.14 = 483.12
29. Volume of cylinder = πh = π*
* 3 = 6.75π cu. feet or 21.195 cu. feet
30. A ball resembles a sphere. Volume of the sphere =
Given diameter = 30inches; Therefore, radius = 15 inches
Now, Volume of the ball = = 4500π cu. inches or 14310 cu.inches
Answer:
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 lifetime for a TV 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 like this:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.