Answer:
11.45 lumens
Step-by-step explanation:
We are given that

Where x=Depth
I=Intensity of light
We have to find the intensity of the light at a depth of 20 feet.
Substitute the value of x





Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens
This midpoint should be (2,5)
Hope this helps
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So

Probability a unit is defective and from manufacturer A:
2% of 43%. So

What is the probability that it came from manufacturer A?

0.5015 = 50.15% probability that it came from manufacturer A.
First step is to distribute.
-4a^2 - 6a +2 + 3a^2 -3
Combine like terms
-a^2 -6a -1
8 is a<u> Natural number, </u><u>Whole number, Integer and Real number</u>
<h3>What is an integer?</h3>
An integer is a number that cannot be expressed as fraction. They are known as whole numbers.
For natural numbers, they are value that starts from 1 and above. Since 8 is greater than 1, hence it is a natural number.
Real number includes both fractions and whole numbers, hence 8 is also a real number.
Based on the explanation, we can conclude that 8 is a<u> Natural number, </u><u>Whole number, Integer and Real number</u>
Learn more on numbers here: brainly.com/question/1746829
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