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Anastaziya [24]
3 years ago
7

Consider a political discussion group consisting of 1010 ​Democrats, 1010 ​Republicans, and 55 Independents. Suppose that two gr

oup members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting two RepublicansRepublicans.
Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

The probability is \frac{3}{20}

Step-by-step explanation:

Consider a political discussion group consisting of 10 ​Democrats, 10 ​Republicans, and 5 Independents.

Total members of the group = 10+10+5=25

Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.

Hence, probability becomes:

\frac{10}{25}\times \frac{9}{24}

= \frac{90}{600} =\frac{3}{20}

So, the probability is \frac{3}{20}

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Rebecca was advised to invest her £12000 life savings in a special High
Evgesh-ka [11]

#a

#1st year

\\ \rm\Rrightarrow 12000+0.045(12000)=12540

#2nd year

\\ \rm\Rrightarrow 12540+0.05(12540)=13167

#3rd year

\\ \rm\Rrightarrow 13167+0.053(13167)=13864.85

#4th year

\\ \rm\Rrightarrow 13864.85+13864.85(0.049)=14544.2

#b

Total interest

\\ \rm\Rrightarrow 14544.2-12000=£ 2544.2

#c

Percentage

\\ \rm\Rrightarrow \dfrac{2544.2}{12000}\times 100

\\ \rm\Rrightarrow 21.2\%

3 0
2 years ago
Read 2 more answers
Point R is located at (3, 2) and point S is located at (8, 15) .
Ulleksa [173]

Answer: (4, 4.6)

=======================================

The x coordinates of the points (3,2) and (8,15) are x = 3 and x = 8 respectively. The distance between these x values is 8-3 = 5 units. So we move 5 units to the right to go from the first point to the second point.

Imagine we had 5 blocks. If 1 of them is colored red and the other four are green, then the ratio of red to green is 1:4. We have 1 part red, 4 parts green. So 1+4 = 5 total. The "red block" in the metaphor mentioned basically tells us how far to move over the total distance 5. So we move 1/5th of the way along the horizontal distance of 5.

1/5 of 5 = (1/5)*5 = 1

So we move exactly one unit along the x direction. Therefore, we add 1 to to the x coordinate of (3,2) to end up with (3+1,2) = (4,2). This isn't the final answer, but it helps get us closer.

---------------

For the y coordinates of the given points we see that the y difference is 15-2 = 13. Multiply this by 1/5 to get

(1/5)*13 = 13/5 = 2.6

We follow effectively the same steps as before, but now we're dealing with the y values this time. So we move 2.6 units in the y direction (ie move 2.6 units up)

Add 2.6 onto the y value of that last point we found to get (4,2+2.6) = (4,4.6)

So that explains why the answer is (4, 4.6)

A visual might help so I've posted one below in the attached images. In that image, the location of point T is the final answer.

6 0
4 years ago
Time left: 0:48:24<br>Question 11 of 50<br>What are the roots of the quadratic equation<br>x2+3x+2?​
alexgriva [62]

Answer:

-1 & -2

Step-by-step explanation:

x²+3x+2

x²+2x+x+2

(x²+2x)+(x+2)

x(x+2)+1(x+2)

(x+1)(x+2)

6 0
3 years ago
Read 2 more answers
365x + 125 = 250x + 175
maxonik [38]
First, set up the equation. 
365x + 125 = 250x + 175 

Second, combine like terms on the same side by subtracting 250x and 125 from both sides.

365x +125 = 250x + 175  
-250x  -125   -250x -125 
__________________
115x = 50

Third, divide both sides by 115 to solve for x.

115x = 50
----      ----
115     115 

Fourth, simplify. 

x=50/115=10/23 or 0.435

7 0
3 years ago
Which statement about the net is true?
Schach [20]
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

If you fold this net up, you will get a triangular prism, NOT A PYRAMID.

A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.

Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.

For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.

Because a pyramid is where all the triangles must meet up at a point.

Hope this helps!
3 0
3 years ago
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