Answer:
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Step-by-step explanation:
Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:
x + y = 18
x = 5y
Solve by substitution by substituting 5y as x into the first equation:
x + y = 18
5y + y = 18
Solve for y:
6y = 18
y = 3
So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:
3(5)
= 15
So, the longer piece is 15 feet long.
The longer piece is 15 feet long and the shorter piece is 3 feet long.
9,6^2+18,8^2=X^2
92,16+353,44=X^2
X^2=445,6
X=21
1/3x<9. This is the....may be
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
Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
-4x + y = 0
+4x +4x
y=4x
-5x - 2y = 13
+5x +5x
-2y = 5x+13
-2(4x) = 5x+13
-8x=5x+13
-5x -5x
-13x/-13=13/-13
x=-1
Thus:
y=4x
y=4(-1)
y=-4