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2 years ago

Select the correct answer. if you roll a fair die twice, what is the probability of getting an even number at least once?

Mathematics

1 answer:

Nata [24]2 years ago

3 0

The probability of getting an even number at least once will be 1/4.

What is probability called?

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

It is given that a fair dice is rolled twice. The probability of getting an even number at least once will be calculated as:-

Number of favorable outcomes = { 2 , 4 , 6 } = 3

It is rolled two times total favorable outcomes = 3 x 3 = 9

Number of samples = 6 x 6 = 36

The probability will be calculated as:-

Probability = Number of favorable outcomes / Number of sample

Probability = 9 / 36

Probability = 1 / 4

Therefore, the probability of getting an even number at least once will be 1/4.

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∠A and \angle B∠B are vertical angles. If m\angle A=(5x-9)^{\circ}∠A=(5x−9) ∘ and m\angle B=(8x-30)^{\circ}∠B=(8x−30) ∘ , then f

elena55 [62]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

Vertical angles have the same measure, so ...

m∠A = m∠B

(5x -9)° = (8x -30)°

21 = 3x . . . . . . . . . divide by °, add 30-5x

7 = x . . . . . . . . . . divide by 3

5 0

3 years ago

Match each equation to its factorized version and solution. 24x – 6x2 = 0 2x(x 3) = 0 solution: x = 0, x = -3 14x – 7x2 = 0 6x(4

Archy [21]

So, The correct match of these quadratic equations are
Equation A has a solution x = 3 and x = 0.

Equation B has a solution x = 2 and x = 4.

Equation C has a solution x = -3 and x = 0.

Equation D has a solution x = 4 and x = 0.

According to the equation

we have given that the some equation with there values of the x and we have to find and match the correct statement with the given values of x.

So, For this purpose, we know that the

The given quadratic equations are:

A. 24x – 6x^2 = 0 and 2x(3x) = 0 with solution x = 0, x = -3

B. 14x – 7x^2 = 0 and 6x(4 – x) = 0 with solution x = 0, x = 4

C. 2x^2+ 6x = 0 and x(4 – x) = 0 with solution x = 0, x = 4

D. 4x – x^2 = 0 and 7x(2 – x) = 0 with solution x = 0, x = 2

And now we solve it

So,

Take A.

24x – 6x^2 = 0 and 2x(3x) = 0

6x(3 -x) = 0 And 6x^2 = 0

here x = 3 and x = 0.

And

Take B.

14x – 7x^2 = 0 and 6x(4 – x) = 0

7x(2 -x) = 0 And 6x(4 – x)= 0

here x = 2 and x = 4.

And

Take C.

2x^2+ 6x = 0 and x(4 – x) = 0

2x(x +3) = 0 And x(4 – x)= 0

here x = -3 and x = 0.

And

Take D.

4x – x^2 = 0 and 7x(2 – x) = 0

x(4 -x) = 0 And 7x(2 – x)= 0

here x = 4 and x = 0.

So, The correct match of these quadratic equations are
Equation A has a solution x = 3 and x = 0.

Equation B has a solution x = 2 and x = 4.

Equation C has a solution x = -3 and x = 0.

Equation D has a solution x = 4 and x = 0.

Learn more about quadratic equations here

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7 0

2 years ago

Please help the question is in the picture

Ainat [17]

Answer:

- True

- False

- True

Step-by-step explanation:

- Subtracting the equation will get rid of y variable therefore it's a correct and logical first step to solve the system

- The solution is indeed (-3, -3) as if we substitute these values in both equation, the equation will be correct and valid.

$-2(-3)+(-3)=3$ (Correct)

$3(-3)+2(-3)=-15$ (Correct)

- We have already determined the logical first step. Multiply by -2 will not get rid of any of the variables. Therefore, this is false.

- The solution can be written as one value since x = y = -3. Therefore, this statement is true.

4 0

3 years ago

What is the formula for area of a quarter circle

GuDViN [60]

Answer:

πr²/4

Step-by-step explanation:

Area of a circle if πr²

so Area of a quarter of a circle (or 1/4 of a circle) = πr²÷4

3 0

3 years ago

Please answer will give brainliest

Elanso [62]

Answer:

24 ft²

Step-by-step explanation:

AC = 10-(3+3)= 4

AB = 12- (3+3) = 6

AB×AC = 6×4 = 24 ft²

4 0

3 years ago