Answer:
Using the formula
r
=a
cos
(
θ
)
or
r
=
a
sin
(
θ
), graph the circle.
r
=
6
cos
(
θ
)
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 1.27 × 100 = 127% (answer)
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find 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 scores 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 find tables for the normal standard distribution, excel or a calculator.
3:15
Step by step explanation:
10:45
-7:30
———
3:15