<h3>
Answer:</h3>
D. 1/24
<h3>
Step-by-step explanation:</h3>
Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.
p(even) = 3/6 = 1/2
p(odd) = 3/6 = 1/2
p(5) = 1/6
Then the joint probability is ...
.. (1/2)·(1/2)·(1/6) = 1/24
Rate = distance / time
Rate = 21 miles / 3 hours
Rate = 7 miles / hour
The answer is choice A. Hope this helps.
Answer:
-1 or 4
Step-by-step explanation:
f(x) = g(x)
-x^2 + 4x + 12=x + 8
-x^2+3x+4=0
(x+1)(x-4)=0
x=-1,x=4
Answer:
A) Slope = -2 and y-int = 1
Step-by-step explanation:
The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
So, let's subtract 8x from both sides, leaving 4y on the left side:
8x + 4y = 4 -> 4y = -8x + 4
Now, let's divide both sides by 4, so that we can have just y on the left side:
y = -2x + 1
-2 is the slope, and 1 is the y-intercept.