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:
- increasing: (-∞, 0)
- decreasing: (0, ∞)
Step-by-step explanation:
The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...
increasing from -∞ to 0 (not including 0)
decreasing from 0 to +∞ (not including 0)
_____
At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.
For elimination, multiply one whole equation by negative one (-1), then add or subtract according to your signs. After that, it will be a one-step equation.
3x + 4y = 19 3x + 4y = 19 3x + 4y = 19 -2y = -14 y = 7
3x + 6y = 33 -1 (3x + 6y = 33) -3x - 6y = -33 -14 / -2
Then you would go back and substitute the value of (y) back into either equation and then solve for the remaining variable (x). Finally, use both values to make an ordered pair.
3x + 4y = 19 3x = -9 x = -3 (-3 , 7)
3x + 4(7) = 19 (-9 / 3)
3x + 28 = 19
Good Luck
Answer:
1755 ft³
Step-by-step explanation:
Volume of a rectangular prism = base area x height
Base area = length x width
15 ft x 9 ft = 135 ft²
Volume = 135 ft² x 13 ft = 1755 ft³
