Answer:
1 / 2,787,760,560
Step-by-step explanation:
The number of permutations is:
41 × 40 × 39 × 38 × 37 × 31 = 2,787,760,560
So the probability of winning the jackpot is 1 / 2,787,760,560.
Answer:
$7.00
Step-by-step explanation:
cost of the apple: $0.75
cost of apricots: $1.50
cost of cherries: $3.25
cost of the bananas: $1.50
Add all the costs: $0.75 + $1.50 + $3.20 + $1.50 = $7.00
Answer is B. Zero
Reason
Pick any points on that line, they will have the same y value , it means they lie on a horizontal line. The slope of such a line is 0.
A disjunction is false if both parts of the disjunction are false; otherwise, it is true
----------------------------------------------
Choice A
4-3=2 is false
6*3=9 is false
both parts are false, so overall the entire disjunction is false
----------------------------------------------
Choice B
5*6=30 is true
3+4=7 is true
Neither part is false, so overall the entire thing is true
----------------------------------------------
Choice C
8+3=11 is true
5*4=23 is false
While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
----------------------------------------------
Choice D
7+6=13 is true
5*2=10 is true
Neither part is false, so overall the entire thing is true
----------------------------------------------
----------------------------------------------
In summary, we have
A. False
B. True
C. True
D. True
Making choice A the only answer that is false. So choice A is the final answer
Line EB is the mid segment of the triangle
EB and DC are parallel if angle EBA is equal to angle DCB
so
4x - 3 = 3x + 9 now solve for x
-3x -3x
x -3 = + 9
-3 -3
x = 12
Now I know x and 3x +9, so sub in for x
3(8) + 9 = 32 + 9 = 41
now we know angle EBA
and angle EBA and angle EBC are a linear pair meaning when I add them together they equal 180
so
angle EBA + angle EBC = 180
41 + 14y - 5 = 180 now solve for y
36 + 14y = 180
-36 -36
14y = 144
/14 /14
y = 10.28
