Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:

The probability of getting a 5 is:

The probability of getting a 4 is:

The probability of getting other numbers (1,2,3) is:


We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
Therefore, the expected winnings for this game are $3.50.
-4,2
Step-by-step explanation:
find the average of the x coordinates and y coordinates
Answer:
Median: 11
Range: 12
25th percentile: 9
75th percentile: 14
Interquartile range: 5
Step-by-step explanation:
✔️Median = the value that lies at the point where the vertical line divides the box into two = 11
✔️Range = max value - min value = 19 - 7 = 12
✔️25th percentile = Q1 = the value at the beginning of the edge of the rectangular box = 9
✔️75th percentile = Q3 = the value at the end of the edge of the box = 14
✔️ Interquartile range = Q3 - Q1 = 14 - 9 = 5
6 blades in 1 windmill is the "unit rate" A unit rate is the number per thing. You will need to multiply. Multiply 6X7. 6 for 6 blades and 7 for 7 windmills. It is 42. 42 blades are in 7 windmills.
Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
-------
x = 43°
--------
x + 8 = 43 + 8
x = 51°
-----------------------
check
86 + 43 + 51 = 180°
the answer is good