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irinina [24]
2 years ago
6

In the same area where there are 3 Mankey Pokemon, 4 Pidgey Pokemon, and 2 Rattata Pokemon. What would be the probability of run

ning into a Mankey Pokemon and then a Pidgey Pokemon (each time you defeat one it is replaced on the map)?
Mathematics
1 answer:
Mrac [35]2 years ago
6 0

The probability of you running into a Mankey Pokemon and then a Pidgey Pokemonis 4/27.

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Can somebody please help me with question number 1
inysia [295]

Answer:

1a: 6.283

b: 51.313

c: 285.1

Step-by-step explanation:

Area of a sector = (angle/360)πr²

1a

Area=(45/360)π(4²)=6.283

b

Area=(120/360)π(7²)=51.313

c

Area=(270/360)π(11²)=285.1

6 0
3 years ago
2.) What value for c will make the expression a perfect square trinomial?
andre [41]

Answer : \frac{49}{4}

Given expression is x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is \frac{-7}{2}

Square of \frac{-7}{2} is (\frac{-7}{2})^2 = \frac{49}{4}

So the expression becomes x^2 - 7x +  [tex] \frac{49}{4} that gives perfect square trinomial

Hence , the value of 'c' is \frac{49}{4}


6 0
3 years ago
Read 2 more answers
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye
notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0
3 years ago
Read 2 more answers
Directions: Select all the correct answers.
Kay [80]
The correct answer is C and D .
4 0
3 years ago
The graph of f(x)=2x^3+x^2-4x-2 is shown. How many of the roots of f(x) are rational
Alexeev081 [22]

We can one theorem to help us find rational roots of this polynomial.

2x^3 + x^2 - 4x - 2

We'll use Descartes' rule of signs.

Because there is 1 sign change, 1 of the 3 roots will be positive.

Now we can make the value of x -1 to see how many negative roots there will be.

-2  + 1 + 4 - 2

There are 2 sign changes, so we know there will be 2 negative roots.

Because of this, we should have 3 real, rational roots.

7 0
3 years ago
Read 2 more answers
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