Y=-2x+0 reason: rise over run as you can see in the graph -2 rise (drop) and -1 run and b=0 y intercept
Answer:
a) 0.82
b) 0.18
Step-by-step explanation:
We are given that
P(F)=0.69
P(R)=0.42
P(F and R)=0.29.
a)
P(course has a final exam or a research paper)=P(F or R)=?
P(F or R)=P(F)+P(R)- P(F and R)
P(F or R)=0.69+0.42-0.29
P(F or R)=1.11-0.29
P(F or R)=0.82.
Thus, the the probability that a course has a final exam or a research paper is 0.82.
b)
P( NEITHER of two requirements)=P(F' and R')=?
According to De Morgan's law
P(A' and B')=[P(A or B)]'
P(A' and B')=1-P(A or B)
P(A' and B')=1-0.82
P(A' and B')=0.18
Thus, the probability that a course has NEITHER of these two requirements is 0.18.
A line perpendicular to another will have the opposite sign and be flipped
ex: slope is 4/5 the other lines slope will be -5/4
(-2,-1) (2,-3)
slope formula
y2-y1/x2-x1
-3-(-1)
____
2-(-2)
-3+1
___
2+2
-2
___
0
the slope of the perpendicular line is 0/-2 which is just 0
The interval for the function to be negative will be (-∞<x<-7).
<h3>What is a function?</h3>
A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here we have a function:-
g(x) = ∛(x+6)
If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-
(-∞<x<-7).
Therefore interval for the function to be negative will be (-∞<x<-7).
To know more about function follow
brainly.com/question/2833285
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Answer:
Volume of the Triangular Prism is 30.24 m³
Step-by-step explanation:
For any prism,
Volume = Base Area X Width
Where Width is the distance between the two equal faces. In this case, the two triangular faces.
Base =3.6m
Height=2.4m
Width=7m
Volume of a Triangular Prism = Area of the triangle X Width
= ½bh X W
= ½ X 3.6 X 2.4 X 7
=30.24 m³
The volume of the triangular prism is 30.24 m³.
