Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
- $500 for rolling 1 or 2
- $400 for rolling 3
- lose $300 for rolling 4,5,6
P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
I haven’t taken geometry in a couple years, so I hope this is right. I’m so sorry if it’s not!!
X= 91
Y= 62
Z= 45
Answer:
8 pieces were obtained.
7 cuts made.
Step-by-step explanation:
(8x2 + 40x + 32) / (x2 + 5x + 4)
= 8.
Answer:
The correct option is;
C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
Please find attached the required function graph
Step-by-step explanation:
To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;
x
F(x)
-4
30
-3
0
-2
6
-1
0
0
-18
1
0
2
150
The shape of a graph with multiplicity of 2
Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;
x = 1, -1, and, giving
(x - 1)·(x + 1)·(x - 3)² = 0
Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.
Answer:
Her eye discourses; I will answer it.
I am too bold; ’tis not to me she speaks:
Two of the fairest stars in all the heaven,
Having some business, do entreat her eyes
To twinkle in their spheres till they return.
Step-by-step explanation: