C. The first is a solution, but the second is not.
5x - y/3 = 13 ; (2,-9)
substitute the letters:
5(2) - (-9/3) = 13
10 - (-3) = 13 : note that deducting a number with a negative sign turns both sign as positive.
10 + 3 = 13 ;
13 = 13
5x - y/3 = 13 ; (3,-6)
5(3) - (-6/3) = 13
15 - (-2) = 13
15 + 2 = 13
17 = 13 not equal. not a solution
Complete question:
A student in an introductory statistics course investigated if there is evidence that the proportion of
milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are
green. She purchased a bag of each variety and her data are summarized in the following table:
Milk chocolate- Green:8 Not Green: 33 Total: 41
Dark Chocolate- Green: 4 Not green: 38 Total :42
a) Define the appropriate parameter(s) for this data.nd state the hypotheses for testing if the proportion of green M&M's differs for milk chocolate and dark chocolate M&M's.
b. The p-value is 0.32. Use this p-value to make a decision about these hypotheses with an alpha of 0.05. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.
Step-by-step explanation:
a.
= Proportion of milk chocolate M&M 's that are green
= Proportion of dark chocolate M&M 's that are green

≠
b. This p-value provides no evidence that the proportion of green candies differs for milk chocolate and dark chocolate M&M's
Answer:
8.005 km
Step-by-step explanation:
There are 1000 meters in a kilometer, so:
5/1000 = 1/200 = 0.005
8 km + 0.005 km = 8.005 km
Answer:
x + 4 - 3√2 and x + 4 + 3√2
Step-by-step explanation:
When other methods seem to difficult to apply, try using the quadratic formula:
Here a = 1/2, b = 4 and c = -1.
Then the "discriminant" is b^2 - 4ac, or
(4)^2 - 4(1/2)(-1), or 16 + 2 = 18
Then the roots are:
-4 ± √18, or -4 ± 3√2
and thus the factors are x + 4 - 3√2 and x + 4 + 3√2
x = ---------------------