Answer:
y = -1/4x + 7
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
8 = -1/4(-4) + b
8 = 1 + b
7 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -1/4x + 7
So, the equation of the line is y = -1/4x + 7
Answer:
Option C 5/12 is correct option
Step-by-step explanation:
We have to find the probability that shows yellow dice has a larger value than the red dice.
Probability= total no of favorable outcomes / total no of outcomes
in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die
(1,2) (1,3) (1,4) (1,5) (1,6)
(2,3) (2,4) (2,5) (2,6)
(3,4) (3,5) (3,6)
(4,5) (4,6)
(5,6)
These are the possibilities where yellow die has greater value than red die.
total no of favorable outcomes = 15
total no of outcomes = 36
probability that yellow die has greater value than red die = 15 / 36
= 5/ 12
Option C 5/12 is correct option
Answer:
48
Step-by-step explanation:
is basically the horizontal axis.
First, find the integral of x^2-25.
Remember that
integral of a constant is that constant times x.
Also that
to take the integral of a power function, add 1 to the degree and divide by that same degree.
We then get
Evaluate at -3
Then we evaluate at 0
Next, we subtract the the answer then we get
Answer:
Step-by-step explanation:
=
The volume of a sphere is 
