You have not provided the complete question (value of y at a certain value of x), therefore, I cannot give u a specific final answer. However, I can explain how to solve this problem and you can apply on the numbers you have.
y varies directly with x means that as x increases, y also increases and vice versa.
This can be represented by the following equation:
y = kx
where k is the constant of proportionality.
Solving this for k, we would find that:
k = y/x
Examples:
If we are given that y = 4 at x = 2, then:
k = y/x = 4/2 = 2
If we are given that y = 1 at x = 3, then:
k = y/x = 1/3
In general, if we are given that y = a at x = b, then:
k = a/b
Hope this helps :)
Answer:
Correct option: A -> 1/24
Step-by-step explanation:
To find the probability of having a card with the value greater than six, the options are: 7 and 8. So there are two options in the total of 8, so the probability is P1 = 2 / 8 = 1/4
The cube has 6 numbers, from 1 to 6, so the probability of rolling a six is P2 = 1/6
To find the final probability, we multiply both probabilities, so:
P = P1 * P2 = (1/4) * (1/6) = 1/24
Correct option: A
Answer: the answer is 4.95
Step-by-step explanation:
P(<100) = P((new or change) & <100) = P(new & <100) + P(change & <100)
... = P(<100 | new)*P(new) + P(<100 | change)*P(change)
... = 0.90*0.70 + 0.20*0.30
... = 0.63 + 0.06 = 0.69 . . . . probability of completing a transaction in < 100 ms
85,000,000 + 000,000 + 000 + 11
I'm not sure if this is right because I haven't done expanded form in years. If it isn't, I'm sorry.