The marginal cost curve is generally ______________, because diminishing marginal returns implies that additional units are ____
1 answer:
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<u>Answer:</u>
- The number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.
<u>Step-by-step explanation:</u>
<em>Expanded form is a way to expand a number in addition form. Since the '9' is in the thousands place, it's value will be 9,000. With 6 in the hundreds place, it's value will be 600. This will occur the same thing with the tens and the ones place. Now, the answer to the question is explained below.</em>
- => 9,648 = 9,000 + 600 + 40 + 8
Hence, <u>the number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.</u>
Hoped this helped.
The first thing we must do for this case is to define variables.
We have then:
P: pressure
A: Area of the sole of the shoe
Since the variation is inverse, we have an equation of the form:
We must find the value of k.
For this, we use the following data:
when the shoes have a sole area of 40 in ^ 2 The pressure is 4 lbs / in ^ 2
Substituting values we have:
From here, let's clear k:
Then, the equation is:
Answer:
The equation that relates these variables is:
We have then:
P: pressure
A: Area of the sole of the shoe
Since the variation is inverse, we have an equation of the form:
We must find the value of k.
For this, we use the following data:
when the shoes have a sole area of 40 in ^ 2 The pressure is 4 lbs / in ^ 2
Substituting values we have:
From here, let's clear k:
Then, the equation is:
Answer:
The equation that relates these variables is:
The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
<h3>How to calculate the probability of an event?</h3>Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
<h3>What is chain rule in probability?</h3>For two events A and B, by chain rule, we have:
where P(A|B) is probability of occurrence of A given that B already occurred.
For this case, the table given is:
Entries 4-wheel drive No 4-wheel drive Total
Third Row Seats 18 12 30
No Third Row Seats 7 28 35
Total 25 40 65
Let we take
A = event that a randomly selected car has no-4 wheel drive
B = event that a randomly selected car has third row seats
The total ways a car can be selected = 65 = n(S)
Total ways A can happen = n(A) = 40 (from the table).
Similarly, n(B) = 30
P(A) = n(A)/n(S) = 40/65
P(B) = n(B)/n(S) = 30/65
P(A∩B) = n(A∩B)/n(S) = 12/65
As by chain rule, we have:
P(A∩B) = P(A)P(B|A) = P(B)P(A|B)
We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)
which is symbolically P( B | A)
Thus, we use: P(A∩B) = P(A)P(B|A)
or
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
Learn more about probability here: