Answer:

Step-by-step explanation:
So we have the equation:

To solve, subtract 5 from both sides. This is the subtraction property of equality:

The left side cancels:

Subtract on the right.

So, our answer is -7.
Answer: 0.9738
Step-by-step explanation:
This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by
P(X=r) = nCr * p^r * q^n-r
Where n = number of sample = 6
p = probability of success = 0.545
q = 1-p = 0.455
r = possible outcome from number of sample.
If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]
Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262
Probability that at least one is a girl = 1 - 0.0262 = 0.9738.
Answer:
Step-by-step explanation:
(3,1) lies below the vertex, so the parabola opens downwards.
Equation for a down-opening parabola with vertex (2,3):
y = a(x-2)² + 3, a<0
Plug in (3,1) and solve for a:
1 = a1² + 3
a = -2
y = -2(x-2)² + 3
The picture is blank for me. Please take clearer pictures leveled with the question! :)
Answer:
D
Step-by-step explanation:
1 liter = 33.8 fl oz
Hence
2 liter = 33.8 * 2 = 67.6 fl oz
Now, we need to determine, how many 8 fl oz glasses can be filled with 67.6 fl oz of juice. For that, we need to divide total amount of juice (in fl oz) by 8. We will get:

So there is enough juice to fill around 8.5 glasses, but we need to know how many FULL GLASSES can be filled, NOT PARTIAL.
Thus, we can say:
8 glasses max can be filled with 2 Liters of juice
Answer choice D is right