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alexdok [17]
2 years ago
7

In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it

. (Assume that there is no other outcome such as "no opinion" and "do not know.") Three persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible?
Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer:

There will be 8 possible outcomes.

Step-by-step explanation:

(Assume that there is no other outcome such as "no opinion" and "do not know.")

3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.

So, the number of possible outcomes are = 2\times2\times2=8

YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN

Y = Yes and N = No

Therefore, there will be 8 possible outcomes.

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Step-by-step explanation:

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Acceleration and velocity are two different things.  The acceleration is the rate at which the velocity is increasing.  So while the velocity very well may be increasing, the rate (acceleration) at which it is, is decreasing.

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If 5x-7=13x+17, what is 6(x-4)?<br> Plz help asap<br> Thanks
balandron [24]
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8 0
2 years ago
Which correctly describes the roots of the following cubic equation?<br> x3 – 5x² + 3x+9=0
Vikki [24]

Answer:

-1 and 3

Step-by-step explanation:

First, note that there is an evident root in x=-1. You can see this because the coefficients of x3 and x sum the same number than the ones of x2 and the independent term (they sum 4: 1+3=4 and -5+9=4).

We can use this root to apply the Ruffini's rool with all the coefficients:

     1    -5    3   9

-1         -1     6  -9

     1    -6    9   0

This gives as that we can write the equation x3 – 5x² + 3x+9=0 as:

(x+1)*(x2-6x+9) = 0

The first term is due to the root x=-1 and the following is a product of Ruffini's rool. Now we need to find the 2 (at maximum) remaining roots, which are the roots of (x2-6x+9)=0

For this we could use Baskara's formula (you can try it) but lets do something simpler. We know that with the 2 roots, call them a and b, we can write the equation as: (x-a)(x-b)=0

If we apply distributive to (x-a)(x-b) we must get x2-6x+9. So, (-a)(-b) MUST be equal to 9. Working with integers there are not many options. Lets suppose a=b=3:

(x-3)*(x-3)=x2 -3x -3x + 9 = x2 - 6x + 9, and BINGO!

If we didnt get the results we could have tried with a=1 and b=9, for example, and so on. (please, compare with Baskara!).

So, we can write:

x3 – 5x² + 3x+9= (x+1)*(x-3)*(x-3) = (x-1)*(x-3)^2

And the roots are the values that make this equation zero:

x=-1 and x=3 where the last one is a double root.

7 0
3 years ago
A checkers board is eight squares long and eight squares wide. The area of each square is 14 cm². Estimate the perimeter of the
Tamiku [17]

Answer:

Perimeter of the board is 119.7 cm.

Step-by-step explanation:

We are given that,

Area of each square = 14 cm²

i.e. Side^2=14

i.e. Side= \sqrt{14}

i.e Side = 3.74 cm

So, we get the side of each square is 3.74 cm.

Since, Perimeter of a square = 4a

→ Perimeter of each square = 4\times 3.74

→ Perimeter of each square = 14.96 cm

<em>Since, there are 8×8= 64 squares on the board.</em>

Thus, the perimeter of the board = 8 × Perimeter of each square.

i.e. Perimeter of the board = 8 × 14.96

i.e. Perimeter of the board = 119.68 cm

Hence, the perimeter of the board rounded to the tenths is 119.7 cm.

4 0
2 years ago
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