Angles 2 and 3 im pretty sure that is right
Hello from MrBillDoesMath!
Answer:
(x-2)/(x-5)
Discussion:
Factor the numerator and denominator:
x^2 + x - 6 = (x+3)(x-2)
x^2-2x-15 = (x+3)(x-5)
So
(
x^2 + x - 6) / x^2-2x-15 = ( (x+3)(x-2) ) / ( (x+3)(x-5) )
Cancelling the (x+3) term in numerator and denominator gives
(x-2)/(x-5)
Regards,
MrB
Answer:
See explanation
Step-by-step explanation:
<h3 /><h3>Step 1</h3>
Miguel wins $2 is if he pulls two chips with the number 1.
<u>Probability of winning is:
</u>
- 2/4 * 1/3 = 1/6 as there are 4 chips in total
<u>
Probability of loosing is:</u>
<h3 /><h3>Step 2</h3>
<u>Missing values we found in the step 1, can be populated in the table:</u>
- Xi === 2 === -1
- P(Xi) === 1/6 === 5/6
<u>Expected Value as per table data:</u>
Expected value is $1/2 loss each time he plays
<h3 /><h3>Step 3</h3>
To make the game fair, the expected value should be zero.
<u>Then as per the calculation above, let's replace 2, with x, and find its value.</u>
- 1/6x + 5/6*(-1) = 0
- 1/6x = 5/6
- x= 5
So the amount should be $5 to make the game fair.
4/11 is equivalent to the fraction 0.363636.... I got this answer by dividing the 4 in 11 groups, or doing the equation, 4<span>÷11</span>
45
50
You have to add 25 for each one so you get the answer
