By the Pythagorean theorem
.. 15^2 = 10^2 +a^2
.. 225 = 100 +a^2
.. 125 = a^2
.. √125 = a
.. 5√5 = a ≈ 11.18
The missing side length is 5√5 cm.
The expected value is $38.46.
The probability of drawing a 10 from any suit is 4/52. Multiply this by the earnings, 500:
4/52(500) = 2000/52 = 38.46
Answer:
0.84
Step-by-step explanation:
1 - 0.4(0.4) = 1 - 0.16 = 0.84
Simply take the probability of the the outcome that is not " at least 1 win", which is the probability of 2 losses;
To find the probability multiply the probabilities along the branches.
Answer:

Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of
. You can therefore factor that out first:

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

Hope this helps!