Answer:
The value of P(A and B) is 1/10
Step-by-step explanation:
In case of independent events, the probability of one event doesn't depend on the probability of other events.
Therefore, for an independent events
P(A and B) = P(A) × P(B)
P(A and B) = 2/5 × 1/4
P(A and B) =2/20
P(A and B) =1/10
Therefore, the value of P(A and B) is 1/10
Answer:
Step-by-step explanation:
It represents a linear function because there is a constant rate of change.
Step-by-step explanation:
Since, if the rate of change for y ( output value ) with respect to x ( input value ) remains constant for a function then it is called linear function.
Here, number of hours represents input value and minutes represents the output value,
Now, By the given table,
The function is passing through the points (1,60), (2,120), (3,180), (4,240) and (5,300),
Also,
⇒ The rate of change output value with respect to input value remains constant,
Hence, It represents a linear function because there is a constant rate of change.
Hey there!
The slope-intercept equation is written as follows:
y = mx + b
Where m is the slope and b is the y-intercept. Therefore, we need both to write the form in slope-intercept. First, we'll find the slope.
To find the slope, we can use the slope given two points formula, which is defined as:
y2-y1/x2-x1
Plug in values (2,0) and (0, -2):
-2-0/0-2 = -2/-2 = 1
Now, we can use one of the points we have and our slope to set it equal to y, plug in x and the slope, and solve for b. We'll use (2, 0). We have:
0 = 1(2) + b
Remember, 0 is the y, 1 is the slope, and 2 is the x.
0 = 2 + b
-2 = b
Therefore, our equation is:
y = x - 2
Hope this helps!
(-8x*5)^3=(-40x)^3=(-64000x^3)
