Answer:
And we can find this probability using the complement rule and with the normal standard table or excel:
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 household spent 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 with the normal standard table or excel:
Answer:
P ( 3, - pi/3 + 2 pi n) or P ( -3 , -pi/3 + pi(2 n +1))
Step-by-step explanation:
P ( 3, - pi/3)
We can circle 2pi n around the circle and be back at the same polar coordinate
P ( 3, - pi/3 + 2 pi n)
or we can flip the radius to a negative and add pi to the theta
P ( -3, - pi/3 + pi)
Then we can circle 2pi n around the circle and be back at the same polar coordinate
P ( -3 , -pi/3 + 2 pi n +pi)
P ( -3 , -pi/3 + pi(2 n +1))
The translation was up 5 and to the left 8
The answer is A. To add fractions, the denominator has to be the same. What number do 9 and 3 share when multiplying ? It is 9.
So multiply 2/3 by 3/3 to get 6/9. And 1/9 by 1/1 to get 1/9. Now add 6/9 with 1/9 which is 7/9
Now add 7/9 with 5/18. 9 and 18 share 18. Multiply 7/9 by 2/2 which is 14/9. Add 14/9 to 5/18 which is 19/18
Answer:
-61
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
x + y
x = 13
y = -74
<u>Step 2: Evaluate</u>
- Substitute: 13 - 74
- Subtract: -61
