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myrzilka [38]
2 years ago
13

Two number cubes are rolled for two separate events: event A is the event that the sum of numbers on both cubes is less than 10.

Event B is the event that the sum of numbers on both cubes is a multiple of 3. Find the conditional probability of B given that A occurs first. Enter your answer as a simplified fraction.
Mathematics
1 answer:
Inessa05 [86]2 years ago
5 0
A event would be five I think and the event of b would be nine
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Which of the following is equivalent to a real number?
Aleksandr-060686 [28]

Answer:

C) -144^¹/₃

Step-by-step explanation:

Having a number to the power of a fraction is the equivalent of rooting by its reciprocal. So, the sixth root, fourth root, cube root, and square root. Only odd roots can have negative answers (∛x, x can be negative; √y, y can not be negative unless we talk about imaginary numbers).

Since we are looking for a real number, C, showing a cube root of a negative number, must be the answer.

4 0
3 years ago
Which expressions are equivalent to -2(5x-1)+7(5x-1)-3(-5x+1)
blondinia [14]

Answer:

x=1/5

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's go back to the given question

-2(5x-1)+7(5x-1)-3(-5x+1)

We can actually equate the equation to zero

Let's solve

-10x+2+35x-7+15x-3=0

Let's collect like terms

-10x+35x+15x=-2+7+3

40x=8

Let's make x the subject of formula by dividing both sides by 40

x=1/5

So the final answer is 1/5

8 0
2 years ago
Which equation is the inverse of y=x^2+16
stealth61 [152]
The inverse of the equation is the square root of x-16. In order to find inverse switch the y and x values and try to isolate y
5 0
2 years ago
For the given term, find the binomial raised to the power, whose expansion it came from: 220(5x)3(−6y)9.
sukhopar [10]
Answer: (5x - 6y)^{12}
Explanation: For a general binomial expansion, (x + y)^{n}, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.

To further demonstrate this, let's use:
(x + y)^{4}

We can easily expand this. Using Pascal's Triangle, we get:
(x + y)^{4} = x^{4} \cdot y^{0} + 4x^{3} \cdot y^{1} + 6x^{2} \cdot y^{2} + 4x^{1} \cdot y^{3} + x^{0} \cdot y^{4}

As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.

It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).

Thus, we get: (5x - 6y)^{12}
5 0
3 years ago
An employee earns $200 for 14 hours work. Assuming he is paid by the hour, how much will this employee earn in 35 hours?
bezimeni [28]
If an employee earns 200 dollars for 14 hours work, that means this person gets approximately 14 dollars and 29 cents per every hour.

Thus, in 35 hours, you can multiply 14.29 by 35 to get about 500 dollars.

In 35 hours, the employee will earn 500 dollars.
3 0
3 years ago
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