Answer:
<u><em>note:</em></u>
<u><em>please find the attached solution</em></u>
Answer:
a) 5
Step-by-step explanation:
Bodies have three dimensions (width, height and depth). Measuring volume is calculating the number of cubic units that can fit inside.
When raising to 3, these dimensions are included and therefore 5
is a measure of volume.
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
Answer:

Step-by-step explanation:
Given: f(x) = 4(3x - 5)
Is required to find f⁻¹(x)
f(x) = y = 4(3x - 5)
∴ y = 4 * 3x - 4 * 5
∴ y = 12x - 20 ⇒ add 20 to both sides
∴ y + 20 = 12x ⇒ divide both sides by 12
∴ 
Replace the places of x and y.
∴ 
∴ 
It is not differentiable at x=1 since the slope of the tangent line as x -> 1 from the right is 1 while the slope of the tangent line as x->1 from the left is -1