Answer:
P(F/E) = 0.5
Step-by-step explanation:
We have the following information:
P(E∩F)=0.1
P(E)=0.2
Additionally, the probability P(A/B) of event A given Event B is calculated as:
P(A/B) = P(A∩B)/P(B)
Now, we want the probability P(F/E), so it is calculated as:
P(F/E) = P(E∩F)/P(E)
Finally, replacing the values we get:
P(F/E) = 0.1 / 0.2
P(F/E) = 0.5
Answer:
Part A) The height of the base is 15 cm
Part B)
Step-by-step explanation:
Part A) What is the height of the base?
we know that
The volume of the triangular prism is equal to
where
B is the area of the triangular face
L is the length of the prism
we have
substitute the given values
solve for B
Find the height of the base
we know that
The area of triangle i equal to
solve for h
Part B) What is the approximate amount of cardboard used to make the candy box?
we know that
To find out the the approximate amount of cardboard used to make the candy box, determine the surface area of the triangular prism
The surface area is equal to
where
B is the area of the triangular base
P is the perimeter of the triangular base
L is the length
we have
Find the perimeter of triangle P
substitute
The value of the inverse function at x = 32 will be 16. Then the correct option is D.
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = 2x
Then the inverse function of the f(x) will be
2f⁻¹(x) = x
f⁻¹(x) = x / 2
Then the value of the inverse function at x = 32 will be
f⁻¹(32) = 32 / 2
f⁻¹(x) = 16
Then the correct option is D.
More about the function link is given below.
brainly.com/question/5245372
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F(x) = 2x - 10
let y = f(x)
y = 2x - 10 solving for x.
y + 10 = 2x
2x = y + 10
x = (y + 10)/2
Recall f(x) = y. Implies x = f⁻¹(y)
<span>x = (y + 10)/2
</span>
f⁻¹(y) <span>= (y + 10)/2
</span>
So as well:
f⁻¹(x) <span>= (x - 10)/2</span>
Answer:
5/2y - 8
Step-by-step explanation:
Step 1: Add -7 to both sides.
2x+7+−7=5y−9+−72x=5y−16
Step 2: Divide both sides by 2.
2x2=5y−162x=52y−8