answer.
Answer:
x=2 and y=0 is the required result.
Step-by-step explanation:
We have been given system of equations:
5x+2y=105x+2y=10 (1)
And 3x+2y=63x+2y=6 (2)
We will use elimination method:
Multiply 1st equation by 3 and 2nd equation by 5 we get:
15x+6y=3015x+6y=30 (3)
15x+10y=3015x+10y=30 (4)
Now subtract (4) from (3) we get:
-4y=0−4y=0
y=0y=0
Now, put y=0 in (1) equation:
5x+2(0)=105x+2(0)=10
5x=105x=10
x=2x=2
Hence, x=2 and y=0
Answer:
B
Step-by-step explanation:
The cylindrical part
Area of the cylindrical part = Circumference of the circle * height
Area of the cylindrical part = pi * d * height
Area = 3.14 * 10 * 9
Area = 282.6
Lid
Area = pi * r^2
r = 5
Area = 3.14* 5^2 * 2
Area = <u> 157</u>
Total 439.6
I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.
9. You shouldn't agree, because they are equal to one another.
10. 84 cents plus 61 should be $1.45 because 84 + 61 is 145 and 100 cents equals 1 dollar, and then you have 45 left over.
100 - .63 is .37 because the whole painting is equal to 1, or .1, or in this case I used it as 100. The drawing is up to you, but you can just draw a canvas and shade in a little bit more than half but not the full canvas. .37 of the canvas is left.
Answer:
y= -3y - 1/3x
Step-by-step explanation:
-2(x + 3y) = 18 Distribute the -2 to the x + 3y
-2x - 6y = 18
+2x +2x Add the 2x to both sides
-6y = 18 + 2x Divide both sides by -6
y= -3y - 1/3x
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
