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3 years ago

The expression 5x^6y^2/x^8y is equivalent to

1 answer:

8 0

$\text{Use:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\..........................................\\\\\dfrac{5x^6y^2}{x^8y}=5x^{6-8}y^{2-1}=5x^{-2}y^1\\\\=\boxed{5x^{-2}y=\dfrac{5y}{x^2}}$

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8 men and 6 women arrive separately in a random fashion to a meeting. What is the probability that the first 4 people to show up

Vedmedyk [2.9K]

Ok, so here:
Remember for basic probability, you have to do: Probability=Events/Possible outcomes. For multiple events, you have to multiply all together.

The probability the first guy that shows up will be 8/14, because out of the 14 people, 8 of them are men. This however isn't your answer, note the question says "Separately"
The probability the second person that comes in is a dude is 7/13, because you have the first guy already in, and only 13 left.
The third person to come in being a dude has a probability of 6/12
The fourth person to come in being a dude has a probability of 5/11

When you have multiple events, the way to solve probability is to find the chances of each as a fraction, then multiply them together.

8/14 * 7/13 * 6/12 * 5/11=1680/24024
1680/24024=168/168 (168 goes into both)
Your final answer is 10/143
~Hope this helps!

3 0

4 years ago

Can someone answer 1 and 2 please HELP ME IM IN TERRIBLY NEED FOR THIS

Dafna1 [17]

This is true because a gravitational pull goes around the other planets and the other one amd pulls the same

7 0

4 years ago

Can you help me with this!!!!!!!!!

alexira [117]

a. The first variable is x and the second variable is y.

b. The equations are $x+y=12$ and $x-y=8.$

Step-by-step explanation:

Step 1:

The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.

Here let the first variable be x and the let the second variable be y.

So the variables are defined as x and y.

Step 2:

The sum of the given variables is 12.

The first variable + the second variable = 12,

$x+y=12.$

The difference between the two variables is 4.

The first variable - the second variable = 4.

$x-y=4.$

Step 3:

If we add both the equations we get, $2x =16, x= 8$ and $y=4.$

x = 8 and y = 4.

4 0

3 years ago

A loaf of bread originally priced at $3.49 has been discounted 10%.

sashaice [31]

$3.49 X .10 = .35

the discount is .35 or 35 cents
final cost
3.49-.35= $3.14

hope this helps

8 0

3 years ago

Read 2 more answers

The formula can be used to work outthe cost, in riyals, of hiring a helmet inQatar for a number of days.Kasun wants to hire a bi

Margaret [11]

Answer:

The answer is below

Step-by-step explanation:

a) Cost of hiring the bicycle for 14 days is:

Cost = 65 * 14 days + 44 = 954 riyals

b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:

Cost of bicycle = 65 * x + 14 = 65x + 44

Cost of helmet = 12.5 * x = 12.5x

Total cost = 65x + 44 + 12.5x = 77.5x + 44

Since 750 riyals is available, hence:

750 = 77.5x + 44

77.5x = 706

x = 9.11

Therefore the maximum number of days is 11. The total cost for 11 days is:

Total cost = 77.5(9) + 44 = 741.5 riyals

Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals

6 0

3 years ago