Answer:
P(B)=0.7
Step-by-step explanation:
When the events do not affect each other, they are known as independent events. In other words, two events are independent if the outcome of the second event is not affected by the outcome of the first event.
If A and B are independent events, the probability that both events will occur is the product of the probabilities that the individual events will occur:
P(A and B)= P(A)*P(B)
In this case, P(A and B)= 0.21 and P(A)= 0.30
Replacing:
0.21=0.30*P(B)
Solving:
<u><em>0.7=P(B)</em></u>
D. It is non-linear because the output values are increasing at different rates
Answer:
or
Step-by-step explanation:
we have
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert to vertex form
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
----> equation in vertex form
or
The vertex is the point (0.25,10.5)
Answer:
2
Step-by-step explanation:
i used a calculator and the rounded
You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number.
You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers.
If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product.
However, you will be able to see that 16 is indeed the lowest common denominator:
2 × 8=16
8 × 2=16
16 × 1=16
So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same).
(1/2) x (8/8)= 8/16
(3/16) x (1/1)= 3/16
(7/8) x (2/2)= 14/16
