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3 years ago

What is Index Law 3? please give explanation

2 answers:

8 0

The third and last law tells us that when we have to multiply a power in a bracket, by another power outside the bracket, we have to multiply the two powers together to get the answer.

rodikova [14]3 years ago

6 0

Answer:

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Step-by-step explanation:

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Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word pro

Talja [164]

Answer: Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

$D(p)=200-5p$

Supply function is stated as

$S(p)=10p$

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

$200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33$

and when we put the value of p in any function:

$Q=10\times 13.33=133.3\ units$

Hence, Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.

8 0

3 years ago

You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

7 0

3 years ago

alpha needs to make jerseys for its 33 teachers and set aside some money for their budget to pay for them. the staff has decided

marishachu [46]

So it would be $38 multiplied by 33 which is: $1,254

4 0

3 years ago

Compare the doubling times found with the approximate and exact doubling time formulas. Then use the exact doubling time formula

g100num [7]

The population after 15 years become according to the doubling time is 470000000.

According to the statement

We have given that the nation of 200 million people is growing at a rate of 9% per year.And we have to find that the What will its population be in 15 years.

So, For this purpose, we know that the

The doubling time is the time it takes for a population to double in size/value. It is applied to population growth etc.

So,

Population of nation is 200 million and growing at a rate of 9% per year.

So, 9% of the population is

Percentage population = 9/100*200,000,000

Percentage population = 9* 200,000,0

Percentage population = 1800,000,0.

It means 18000000 number of population is increased per year.

So, The total population increased in 15 years is 15*18000000

The total population increased in 15 years is 270000000.

The population after 15 years is 270000000 + 200,000,000

The population after 15 years is 470000000.

So, The population after 15 years become according to the doubling time is 470000000.

Learn more about doubling time here

brainly.com/question/16407547

#SPJ4

6 0

1 year ago

How to solve function operations

Mama L [17]

" Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).1. = [3x + 2] + [4 – 5x] = 3x + 2 + 4 – 5x. = 3x – 5x + 2 + 4. = –2x + 6. (f – g)(x) 2. = f (x) – g(x)= [3x + 2] – [4 – 5x] = 3x + 2 – 4 + 5x. = 3x + 5x + 2 – 4. = 8x– 2. 3. ...= (3x + 2)(4 – 5x) = 12x + 8 – 15x2 – 10x. = –15x2 + 2x + 8. " - Google

3 0

3 years ago