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3 years ago

6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Step-by-step explanation:

$\frac{6x^{2}y^{3}}{3xy}$

If it helps, write as a product of fractions, grouped by variable.

$\frac{6}{3} \frac{x^{2}}{x} \frac{y^{3}}{y}$

Now reduce using exponent rules.

$2xy^{2}$

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A multiple choice exam has 20 questions. Each question has 3 possible answers; there is no partial credit. Only 1 answer out of

amid [387]

Answer:To find out the theoretical probability of the case given, we need to make certain assumptions.

First, we'll assume that he'll attempt all of the questions, i.e he'll attempt all 10 questions.

Next assumption is that each option in each question is equally likely to be marked by the student.

This pretty much leads us to a binomial probability distribution.

Conditions are:

Answers 10 questions.

Each question has 4 options with only one correct answer and all other incorrect answers.

Student is equally likely to pick any outcome in any given question.

Hence, probability of choosing correct answer is 1/4 = 0.25. Probability of choosing incorrect answer is 1–1/4 = 3/4 = 0.75.

The number of trials is 10.

Total number of success is exactly 8 and failure is 2 amongst the 10 questions in any particular order.

Now, calculation is fairly simple.

Binomial probability distribution is such that…

P(8 correct ; 2 wrong)

= 10C8 × (0.25)^8 × (0.75)²

= 405/1048576 ≈ 3.862380981 × 10^-4 ≈ 0.000386

Step-by-step explanation:

6 0

3 years ago

How many solutions do these equations have

Arlecino [84]

Answer:

$\large\boxed{\bold{one\ solution}\ (1,\ -4)\to x=1,\ y=-4}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=2x-6\\y=-x-3\end{array}\right\\\\\text{These are linear functions. We only need two points to draw a graph.}\\\\\text{Choice two values of x, substitute to the equation,}\\\text{and calculate the values of y.}\\\\y=2x-6\\for\ x=0\to y=2(0)-6=0-6=-6\to(0,\ -6)\\for\ x=3\to y=2(3)-6=6-6=0\to(3,\ 0)\\\\y=-x-3\\for\ x=0\to y=-0-3=0-3=-3\to(0,\ -3)\\for\ x=-3\to y=-(-3)-3=3-3=0\to(-3,\ 0)\\\\\text{Look at the picture}$

$\text{The intersection of the line is the solution of the system of equations:}\\\\(1,\ -4)\to x=1,\ y=-4$

7 0

3 years ago

What is 1044 divisible by? 2,3,5,6,9,10

notsponge [240]

1044 is divisible by 2, 3, 6, and 9. You're welcome. ;)

6 0

3 years ago

Read 2 more answers

The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 9x + 7 g(x) = 5x −2 −11 −1 −2 0 1 1 5 2 C

harina [27]

The Correct Should Be
2

5 0

4 years ago

Read 2 more answers

Which possibly forms a triangle

svp [43]

Answer:

C. 17, 12, 7

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.

In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.

A. 8 + 7 = 15 < 16 No

B. 9 + 7 = 16 = 16 No

D. 11 + 5 = 16 < 17 No

17 + 12 = 29 > 7

12 + 7 = 19 > 17

17 + 7 = 24 > 12

Yes

6 0

3 years ago

6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2​

6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2