Using <u>probability distribution concepts</u>, the correct option is:
-
C. the sum of the probabilities is not 1.00
- In a probability distribution, the <u>sum of all probabilities has to be equals to 1</u>.
In this problem, the probabilities are: 0.25, 0.45, 0, 0.35.
Their sum is:

Since the <u>sum is not 1</u>, the correct option is:
- C. the sum of the probabilities is not 1.00
For more on <u>probability distribution concepts</u>, you can check brainly.com/question/24802582
Answer:
c) y= -3x + 3
Step-by-step explanation:
Given equation
y= 1/3x+6
Here slope m1 = 1/3
We know that the slope of perpendicular lines
m1*m2 = -1
slope of perpendicular line m2 = -1/m1
= -1/ (1/3)
m2 = -3
Also the line passes through (2, -3)
equation of line is given by y = mx+b
y= -3
x= 2
m2 = -3
Applying above values to the equation of line,
-3 = (-3*2)+b
b=3
Hence equation of perpendicular line is y = -3x + 3
Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given
and
. Sum of these two angles is 90°.
So we can write the equation as,

We have to remove the parenthesis now.

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.



Now to get x, we have to move 3 to the other side, by dividing it to both sides.



We have got the required value of x.
The solution is x= 25.
Answer:
-2
Step-by-step explanation:
15x+6=6x-12
15x-6x=-12-6
9x=-18
x=-2