Answer: 0.444225
Step-by-step explanation:
Given : The total number of tickets = 50
Number of tickets are randomly sampled without replacement =6
Since the order of selection is not important , so we use combinations.
Total number of ways to select 6 tickets = 
The number of winning tickets = 6
So, number of tickets that are not winning = 50-6=44
Number of ways of selecting zero winning numbers= 
Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be 
Hence, the required probability = 0.444225
<span>Let the height of the tree be h foot.
Trigonometric ratio for tangent = Opposite side / adjacent side----(1)
Since the tree is standing vertically on a level ground, the three points, [ Top of the tree, the point where the tree touches the ground and the point where the shadow ends] form a right angled triangle.
Applying (1) for the above three points, tan(24.7)=(height of the tree)/(length of shadow)
Hence, height of the tree = tan(24.7)*(length of the shadow)
= (0.46)*140
= 65 foot (Rounding off to the nearest foot)</span>
X+Y=10
XY=-300
Solve for one of the variables
X=10-Y
Plug into the other equation
Y(10-Y)=-300
Now, you have a quadratic...
-y²-10y+300=0
I would multiply everything by -1, so there's no coefficient on y²
y²+10y-300=0
And solve...
-10±√(100-4(-300))
----------------------------
2
Y=-5±5√(13)
Plug back onto original equation...
X+(-5±5√(13))=10
X±5√(13)=15
X=15±5√(13)
Note: There are 2 sets of answers, keep the negatives with the negatives, and the positives with the positives when dealing with the ±.
Answer:
the answer is 6 square root 5
Step-by-step explanation: ANSWER IS C
X>1 is the answer
10x + 16 > 6x +20
4x +16 > 20
4x > 4
x > 1
