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stich3 [128]
3 years ago
14

Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, wh

ich choice represents the sample space, S, for the event? S = {ABC} S = {ABC, CAB} S = {AB, AC, BC} S = {AB, BA, AC, CA, BC, CB}
Mathematics
2 answers:
Semenov [28]3 years ago
5 0
Number of ways of choosing two pair of sneakers from three pairs named A, B, C is given by 3C2 (3 combination 2) = 3! / 2!(3 - 2)! = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3.

Therefore, the sample space is given by S = {AB, AC, BC}
Nuetrik [128]3 years ago
3 0
Its the third one hope this helps!!!!!!!!!
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The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=−5.
satela [25.4K]

Answer:

P(x) = -0.7(x-5)^{2}(x+5)

Step-by-step explanation:

Root multiplicity of 2 means the root is repeated 2 times. Root multiplicity of 1 means root is repeated only once.

A polynomial of degree 3 means the largest exponent of x is 3.

Here, the polynomial P(x) has root 5 with multiplicity 2 and -5 with multiplicity 1.

So, P(x) = a(x-5)^{2}(x+5)

Where, a is a constant.

Now, it's given that the y intercept is -87.5. Therefore, value of x at y intercept is 0.

We obtain a by plugging in -87.5 for P(x) and 0 for x.

-87.5=a(0-5)^{2}(0+5)

-87.5=a(25\times5)\\ a=-\frac{87.5}{125}=-0.7

Therefore, the polynomial P(x) is given as:

P(x) =-0.7(x-5)^{2}(x+5)

3 0
3 years ago
Can someone tell me if what I did in this statistics problem is correct or not and specially why please? ​
worty [1.4K]

Answer: ya correct

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP BRAINLIEST GIVEN TO CORRECT ANSWER
morpeh [17]
The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.

Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation 2y-4x=12, or y=2x+6 in slope-intercept form, a parallel line will be of the form y=2x+b.

That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.

We can have any equation of the form y=mx+b, \ x \neq 2.
3 0
2 years ago
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Given the following​ function, find f(−5), f(0), and f(4). f(x)=x2+5
bulgar [2K]

Answer:

30, 5 , 21

Step-by-step explanation:

substitute the values of x into f(x) , then

f(- 5) = (- 5)² + 5 = 25 + 5 = 30

f(0) = 0² + 5 = 0 + 5 = 5

f(4) = 4² + 5 = 16 + 5 = 21

6 0
1 year ago
If f(x) = 12x+2, then f^-1(x) =??​
olga nikolaevna [1]

Step-by-step explanation:

Given

f(x) = 12x + 2

f^-1(x) = ?

Now

Let y = f(x)

or y = 12x + 2

Interchanging the role of x and y

x = 12y + 2

x - 2 = 12y

y = <u>x </u><u>-</u><u> </u><u>2</u>

12

Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>

12

Hope it will help you.

5 0
3 years ago
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