Answer:
Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)
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A Twelve less than three times a number is greater than or equal to nine.
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B Twelve less than three times a number is at least nine.
C Twelve less three times a number is at least nine.
D Twelve minus the product of three and a number is no more than nine.
E Twelve less three times a number is at most nine.
F Twelve minus the product of three and a number is no smaller than nine.
G Twelve minus the product of three and a number is larger than nine.
Step-by-step explanation:
12 - 3x>=9
Answer:
96 degrees
Step-by-step explanation:
Each food bank would receive 264 cans.
44 Bins with 24 cans. 44•24= 1,056
n= (44•24) / 4
n= 1,056 / 4
n= 264 cans per food bank
Answer: She can buy up to 2 bags of nuts
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).
5.70n +4.25 ≤18
Solving for x:
5.70n ≤18 -4.25
5.70n ≤13.75
n ≤13.75/5.70
n ≤2.41
n ≤2 (rounded)
She can buy up to 2 bags of nuts
Answer:
Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:
Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:
In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:
So:
