In the long run, you will lose $1 per game.
To find the expected value of this game, we have to multiply the chances by each prize. Then, add up all the possibilities.
(1/6) x $12 + (1/3) x $3 + (1/2) x $8
2 + 1 - 4 = -1
On average, you will lose $1 per game.
Answer:
D sin 85 sin 31
---------- = ----------
b 9.3
Step-by-step explanation:
We can use the law of sins
sin B sin A sin C
---------- = ----------- = ----------
b a c
We do not know angle C, but we can calculate it
The angles of a triangle add to 180
A + B + C = 180
64+ 85 + C = 180
149 + C = 180
C = 180-149
C =31
sin B sin C
---------- = ----------
b c
We know B = 85, C = 31, b = unknown and c = 9.3
sin 85 sin 31
---------- = ----------
b 9.3
Answer:
28.09 for both including taxes
Step-by-step explanation:
6% of $14.50 is $0.87. 6% of $12 is $0.72. Together the values add up to $28.09.
Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.
current no. = 8
goal = 8 + 20%
20% = 8 x 0.20
(a percent is really just a fraction with the percent number over 100)
20% = 1.60
goal = 8 + 1.60
goal = 9.60
However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.
Answer:
<em>Mean of the sample = 27.83</em>
<em> The variance of the the sample = 106.96</em>
<em> </em><em>Standard deviation of the sample = 10.34</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample of six employees
x 26 32 29 16 45 19
mean of the sample
Mean of the given data = 27.83
<u>Step(ii):-</u>
<u>Given data</u>
x : 26 32 29 16 45 19
x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83
(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689
∑ (x-x⁻)² = 534.8245
Given sample size 'n' =6
The variance of given data
S² = ∑(x-x⁻)² / n-1
The variance of the given sample = 106.9649
<u> Step(iii):-</u>
Standard deviation of the given data
Standard deviation of the sample = 10.3423
