Answer: if 1 represents the game at the top and 7 the game at the bottom, the order is 1, 6, 5, 2, 3, 7, 4
Step-by-step explanation:
in a game where the expected value is zero, if your probability to win is p and the entry cost is C, then you should win an amount W = C/p
then p = C/W
1) C = $5, W = $200
p = 5/200 = 0.025
2) C = $6, W = $300
p = 6/300 = 0.02
3) C = $9, W = $468
p = 9/468 = 0.019
4) C = $8, W = $440
´p = 8/440 = 0.0181
5) C = $7, W = $315
p = 7/315 = 0.0022
6) C = $4, W = $168
p= 4/168 = 0.024
7) C = $10, W = $540
p = 10/540 = 0.0185
Then the order, from least probability to greatest probability of winning is:
1, 6, 5, 2, 3, 7, 4
Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
Answer:
=x^3 y^3-3x^3y^2+4x^2y^3+3
Step-by-step explanation:
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Using technology, the linear regression equation by fitting the data in the table is ŷ = 2.4x + 11. The predicted number of hits they will be recorded on day 15 is 47.
Using technology such as a regression calculator or excel ;
The regression equation which models the data is ;
- <em>Slope</em><em> </em><em>=</em><em> </em><em>2.4</em><em> </em><em>;</em><em> </em><em>intercept</em><em> </em><em>=</em><em> </em><em>11</em><em> </em>
<u>The</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>hits</u><u> </u><u>recorded</u><u> </u><u>on</u><u> </u><u>day</u><u> </u><u>15</u><u> </u><u>:</u>
<u>Substitute x = 15 into the equation</u> :
ŷ = 2.4(15) + 11
ŷ = 47
Therefore, the predicted number of hits on day 15 is 47 hits.
Learn more : brainly.com/question/25306217
