Order does not matter so use "n choose k" formula is used to find number of unique combinations.
c=n!/(k!(n-k)!) where n is total possible choices and k is number of selections.
c=4!/(2!(4-2)!)
c=4!/(2!2!)
c=24/(2*2)
c=24/4
c=6
So there are 6 different two topping options when there are four different toppings to choose from.
Answer:
3/10
Step-by-step explanation:
Slope = y2 - y1/x2 - x1
-3 + 6/2 +8
3/10
9514 1404 393
Answer:
(x, y) = (-11, 4)
Step-by-step explanation:
You can subtract 3 times the second equation from the first to eliminate y.
(7x +9y) -3(x +3y) = (-41) -3(1)
4x = -44
x = -11
Substituting into the second equation gives ...
-11 +3y = 1
3y = 12
y = 4
The solution is (x, y) = (-11, 4).
Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
<u>Step-by-step explanation:</u>
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
Given
This is a one-tailed test.
Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.
