All categories

4 years ago

How do you find the average rate of change in calculus?

1 answer:

8 0

The average rate of change doesn't require calculus.
It's just

(amount of change during some time) / (amount of time for the change) .

You need calculus when you want the instantaneous rate of change . . .
that's the rate of change at a single point in time.

You might be interested in

A store has clearance items that have been marked down by 60%. They are having a sale, advertising an additional 15% off clearan

astra-53 [7]

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

$\Rightarrow x-x\times 0.6=0.4x$

after additional discount it is

$\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x$

Effective discount on the item is

$\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%$

Thus, a person is paying $100-66=34\%$ of the original price

6 0

3 years ago

Plz

allsm [11]

Top box is 2x
bottom box is 3

4 0

3 years ago

Sylvie and 3 of her friends go to eat at Chili's The total amount of their food is $45.90. If they split the bill evenly, how mu

aleksley [76]

Answer:

$12.24

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

3 years ago

Idk so help pls 10 point

IceJOKER [234]

Answer:

30 milk chocolates

Step-by-step explanation:

42 ÷ 7 = 6 - a fraction of the chocolates

6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).

4 0

4 years ago