Answer:
x = 11, 10 or 9
Step-by-step explanation:
Answer:
O 70°; 70°
Step-by-step explanation:
congruent means equal
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.
Answer:
The area of the triangle is: "
8.5 cm² " ;
or, write as: "
8 cm² " .
_______________________________________________________Explanation:_________________________________________________________The formula {"equation"} for the area of a triangle is:
A = (
) * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = "
8.5 cm² " ; or, write as: "
8 cm² " .
_________________________________________________________Answer:
"
8.5 cm² " ; or, write as: "
8 cm² " .
_________________________________________________________The area of the triangle is:
"
8.5 cm² " ;
or, write as: "
8 cm² " .
_________________________________________________________