Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
Answer:
26
75
37
82
145
34
Step-by-step explanation:
Hypotenuse of a right angle triangle from pythagoras theorem is given by
h²=b²+a²
Making h the subject
h=√(b²+a²)
Where h is hypotenuse, b is base and a is the other side of a triangle
10²+24²=676
√676=26 units
72²+21²=5625
√5625=75 units
12²+35²=1369
√1369=37 units
18²+80²=6724
√6724=82 units
105²+100²=21025
√21025=145 units
16²+30²=1156
√1156=34 units
For this case, what you should know is that the equations that represent an inverse variation are those that could not form a straight line, for example.
We have then:
Equation 1:
pv = 13
Rewriting:
p = 13 / v
P and v are represent an inverse variation.
Equation 2:
z = (2 / x)
z and x are represent an inverse variation.
Answer:
equations represented inverse variation are:
pv = 13
z = (2 / x)
That answer your looking for is 80
11x = 44
X=4
44 + 7 = 51
5x = 20
31 + 20 =51
51 = 51