Answer:

Step-by-step explanation:
step 1
we know that
The area of Tracy's backyard is 
Convert to an improper fraction

step 2
To find the area of the garden, multiply the area of the backyard by 1/3
so

Answer:
Abel to Ben: 6
Abel to Carl: 3
Ben to Carl: 0.5
Step-by-step explanation:
First we formulate the problem in equations:
Abel = 6 * Ben
Cale = Abel / 3
If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.
If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)
So, the ratio between all scores are the following:
Abel to Ben: 6
Abel to Carl: 3
Ben to Carl: 0.5
Tan9−tan27−tan63−tan81
tan9+tan81−tan27−tan63
sin9/cos9+sin81/cos81−sin27/cos27−sin63/cos63
sin90/cos81cos9−sin90/cos63cos27
1/sin9cos9−1/sin27cos27
2/sin18−2/sin54
(2)sin54−sin18/sin18sin54
4cos36sin18/sin18cos36=4
Answer:
Option C.
Step-by-step explanation:
Answer:
Where
and 
Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:



So then is appropiate use the normal distribution to find the probabilities for 
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". The letter
is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: 
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 
Since the distribution for X is normal then the distribution for the sample mean
is also normal and given by:



So then is appropiate use the normal distribution to find the probabilities for 