Answer:
x=3
Step-by-step explanation:
using the pythagorean theorem, c^2=a^2+b^2
5^2=x^2+4^2, x=3
We know that
the coordinates of point B ( -5,0)
the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)
the answer is
<span>(0, –2) </span>
Answer:
The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.
Step-by-step explanation:
Consider the provided information.
It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.
The probability of winning is 1/38. So, the probability of loss is 37/38.
Now, find the expected value of the game to the player as shown:



Hence, the expected value of the game to the player is -$0.2105.
Now find the expect to loss if played the game 1000 times.
1000×(-$0.2105)=-$210.5
Therefore, the expected loss if played the game 1000 times is -$210.5.
Answer:
10*40
80*5
20*20
Step-by-step explanation:
20*20=400
80*5=400
10*40=400
Answer:
Therefore the two values required are 2.08 and -11.08.
Step-by-step explanation:
i) f(x) =
+ 10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.
ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.
This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.
∴
+ 10x -12 = 0 ⇒ x = (-10 ±
) ÷ 2
= (-10 ± 12.166)÷2 = 2.08, -11.08
Therefore the two values required are 2.08 and -11.08