C(X)=6X+600 marginal cost

Answers

Answer 1
Answer:

Answer: 6

Step-by-step explanation:

Derivate C(x)=6x+600

C'(x)= d/dx (6x) + d/dx (600)

C'(x)= (6) + (0)


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The probability is 1 in 4,011,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 46,000 trips.(a) What is the probability of a

Answers

Answer:

0.0114

Step-by-step explanation:

(a) What is the probability of a fatal accident over a lifetime?

Suppose A be the event of a fatal accident occurring in a single trip.

Given that:

P(1 single auto trip in the United States result in a fatality) = P(A)

Then;

P(A) = 1/4011000

P(A) = 2.493 × 10⁻⁷

Now;

P(1 single auto trip in the United States NOT resulting in a fatality) is:

P(\mathbf{\overline A}) = 1 -  P(A)

P(\mathbf{\overline A}) = 1 - 2.493 × 10⁻⁷

P(\mathbf{\overline A}) = 0.9999997507

However, P(fatal accident over a lifetime) = P(at least 1 fatal accident in lifetime i.e. 46000 trips)

= 1 - P(NO fatal accidents in 46000 trips)

Similarly,

P(No fatal accidents over a lifetime) = P(No fatal accident in the 46000 trips) = P(No fatality on the 1st trip and No fatality on the 2nd trip ... and no fatality on the 45999 trip and no fatality on the 46000 trip)

= [P(\overline A)] ^(46000)  \ \ \  (since \  trips \ are \ independent \ events)

= [0.9999997507]^(46000)

= 0.9885977032

Finally;

P(fatal accident over a lifetime) = 1 -  0.9885977032

P(fatal accident over a lifetime) = 0.0114022968

P(fatal accident over a lifetime) ≅ 0.0114

Suppose a professor splits their class into two groups: students whose last names begin with A-K and students whose last names begin with L-Z. If p1 and p2 represent the proportion of students who have an iPhone by last name, would you be surprised if p1 did not exactly equal p2? If we conclude that the first initial of a student's last name is NOT related to whether the person owns an iPhone, what assumption are we making about the relationship between these two variables?

Answers

a) Even if the distribution of iPhones by last name is completely uniform in the population generally, there is no reason to believe that the proportions in the sample represented by the class will be identical.
  I would not be surprised to see p1 ≠ p2.

b) Saying the variables are not related is the same as saying the variables are independent.

One numer is 17 more than another number the sum of the two numbers is 25 find the numbers

Answers

uh i think it's 18 and 7?

Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page

Answers

Answer:

13 pages : 1/2 hour Multiply both sides by 2

26 pages : 1 hour ------>> 26 pages/hr

Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages

Split up the fraction: (1/26) hr / page

Answer:

26

Step-by-step explanation:

13 in 1/2 hour

13:1/2

26:1

The Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts. What was the original price of the shorts?

Answers

Answer:

$30 is the price of the original pair of sneakers.

Step-by-step explanation:

You wanna cross multiply so you put :

18. 60

_ = _

x. 100

You multiply 18 the cost of the sneakers by 100 and then divide the product (1800) by 60 and you get $30.

MARK ME AS BRAINLIEST!

Final answer:

The issue pertains to the math topic of discovering a specific percentage of a total. In this case, the $18 John paid for the shorts upon a 60% off sale represents 40% of the original price. Solving the proportion shows us that the original price of the shorts was $45.

Explanation:

The problem is related to the concept of percentages in mathematics, which involves finding a certain percentage of a total value. Here, we know that John paid $18 for the shorts, which represents 40% of the original price because the shorts are on a 60% off sale (100% - 60% = 40%).

To find the original price, we set up a proportion and solve for the original price (symbolized here as x):

40/100 = 18/x

A cross multiplication gives us: 40*x = 1800

To solve for x, we divide both sides by 40: x = 1800/40 = $45

So, the original price of the shorts was $45 before the sale.

Learn more about percentages here:

brainly.com/question/29306119

#SPJ12

The center of the circle is located (3'8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle

Answers

9514 1404 393

Answer:

  x² +y² -6x -16y +48 = 0

Step-by-step explanation:

Given:

  • circle center: (3, 8)
  • circle radius: 5

Find:

  general form equation for the circle

Solution;

The standard form equation for the circle is ...

  (x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)

  (x -3)² +(y -8)² = 5²

Subtracting 25 and expanding this will give the general form.

  x² -6x +9 +y² -16y +64 -25 = 0

  x² +y² -6x -16y +48 = 0

_____

Additional comment

"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.