Answer: 3 11/12
Explanation: convert the fractions 1/4 and 1/3 to fractions with a denominator of 12. Your fractions become 3/12 and 4/12. Subtract 4/12 from 5 3/12 and get 4 11/12. Subtract one and get 3 11/12.
Answer:
c
Step-by-step explanation:
The limit exists because it's continuous since they equal each other
when x approaches zero.
Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.
Answer:
the solution is the whole line y = -x + 7
Step-by-step explanation:
both equations are identical
2y = 14 - 2x
=> y = 7 - x
which is exactly the same information as y=-x+7
so, there is no single crossing point. they are exactly covering each other. what "remains" is simply the whole line.
Answer:
2.38 lb bag = 4.99/lb 5.08 lb bag = 5.21/lb The 2.38 is the better buy
Step-by-step explanation:
1.88/2.38 = 4.99
26.47/5.08 = 5.21
4.99 is cheaper than 5.21 so the 2.38 lb bag is better buy
Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
