Answer:
A) 7x^2-7x+15
Step-by-step explanation:
f(x) = 4x2 - 5x + 7,
g(x) = 3x2 - 2x + 8
f(x) +g(x) =
4x^2 - 5x + 7 + 3x^2 - 2x + 8=
7x^2-7x+15
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
Answer:
Step-by-step explanation:
Juice squeezed from first orange = 
= 0.235
Juice squeezed from second orange = 
= 0.3
Juice squeezed from third orange = 
= 0.45
Juice squeezed from fourth orange = 
= 0.27
Juice squeezed from fifth orange = 
= 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275
Therefore, to make it 2 cups of orange juice for the family, about cups of more juice is required.
