Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55
Answer:
$40,000
Step-by-step explanation:
25% of x = $10,000
0.25x = 10,000
x = 10,000/0.25
x = 40,000
Answer: $40,000
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
Answer:
96
Step-by-step explanation:
U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so
mTV = 2 * mTU
11x + 8 = 2 (6x)
11x + 8 = 12x
8 = x
mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96
