Answer:
c. 1.67 standard deviations above the mean
Step-by-step explanation:
The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:
In which 
is the mean and 
is the standard deviation.
A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.
In this problem, we have that:
Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?
This is Z when X = 13. So
So this is 1.67 standard deviations above the mean.
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
Answer:
Periodic
Step-by-step explanation:
Because the terms repeat, this is a periodic sequence.
36.89 total divided by the 8.6 gallons he bought = 4.2 so the price per gallon would be $4.20
1) -3(5x+2y=-3)⇒ -15x-6y=9
⇒ -9x=27
2(3x+3y=9)⇒ 6x+6y=18
2) -9x/-9=27/-9 ⇒ x=-3
3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6
Answer: (-3,6)
Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
</em>
Step 2) Once y is eliminated, solve for x.
Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em>
