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3241004551 [841]
3 years ago
6

Why do you subtract exponents when dividing powers with the same base?

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
Division<span>. If two </span>powers<span> have the </span>same base<span> then we can </span>divide<span> the </span>powers<span>. When we </span>divide powers<span> we </span>subtract<span> their </span>exponents<span>. A negative </span>exponent<span> is the </span>same<span>as the reciprocal of the positive </span><span>exponent</span>
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What are the factors PLEASE HELP!!!
elena55 [62]

Answer:

The answer is (x-6) squared

4 0
2 years ago
On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
kobusy [5.1K]

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

7 0
2 years ago
Assistance with polynomials
TiliK225 [7]
Should be the second one. 
4 0
2 years ago
If the side lengths of a polygon are: 4x, 6x, 12, and 18 what is the value of x if the perimeter is 118?
Sonja [21]

The value of x for given polynomial is 8.8.

<h3>What is Polygon?</h3>

The definition of a polygon is given as a closed two-dimensional figure with three or more straight lines.

Here, the length of sides of given Polygon are:

    4x, 6x, 12, 18

Perimeter of polygon = 118 units.

We know that,

Perimeter of polygon = Sum of all sides

                             118 = 4x + 6x + 12 + 18

                             118 = 10x + 30

                             118 - 30 = 10x

                               10x = 88

                               x = 88/10

                               x = 8.8

Thus, the value of x for given polygon is 8.8.

Learn more about Polygon from:

brainly.com/question/17756657

#SPJ1

8 0
2 years ago
Use the coordinates of the labeled point to find the point-slope equation of the line
koban [17]

Answer:

A. y + 1 = -2(x-2)

Step-by-step explanation:

point-slope equation is : y - y1 = m (x -x1)

remember m= slope value

the given point is (2, -1) therefore we can substitute the values in:

y + 1 = m(x -2)

now to make sure our answer is complete we will solve for the slope:

looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)

with any two points you can determine a slope.

y2 - y1 / x2 - x1

therefore :

-1 -3 / 2 - 0

-4 / 2 = -2

therefore our m value is -2

this makes the completed point-slope equation:

y + 1 = -2 (x - 2) or A

3 0
2 years ago
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