Mode are repeating numbers in a sequence therefore 23 is your mode
Answer:
Step-by-step explanation:
a= 12 mm ; b = 16 mm ; c = 18 mm
s = (a + b+c)/2
s -a = 18 - 12 = 6 mm
s -b = 18 - 16 = 2 mm
s -c = 18 - 8 = 10 mm
= 5.75
Height = 5.8 mm
Answer:
-x + -13
Step-by-step explanation:
Rewrite: 5(x – 4) + 3x – 9x + 7
Step 1: 5(x + –4) + 3x + –9x + 7
Step 2: 5x + -20 + 3x + –9x + 7
Step 3: 5x + 3x + –9x + -20 + 7
Step 4: -1x + -13
Step 5: -x + -13
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
