Answer:
-x
Step-by-step explanation:
First you cancel the x^3 and the -x^3 because together, they equal 0.
Then you are left with 3x - 4x.
That equals -x.
Answer:
Sin C: 7/25
Cos C: 25/24
Tan C: 7/24
Step-by-step explanation:
Sin C: Opposite/Hypotenuse
Cos C: Adjacent/Hypotenuse
Tan C: Opposite/Adjacent
Answer:
A. 60°
Step-by-step explanation:
3tan^3 x= tan x
3tan^2x = 1
tan^2 x = 1/3
tan x = 1/
x = 60°
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 of a certain type of battery 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 using the complement rule:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.