QUESTION 8
Solve the problem that involves probabilities with events that are not mutually exclusive.
Consider a political discussion group consisting of 8 Democrats, 3 Republicans, and 7 Independents. Suppose that two
group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting
an Independent and then a Democrat.
14/81, 25/153, 7/306/ or 4/153?

QUESTION 8Solve The Problem That Involves Probabilities With Events That Are Not Mutually Exclusive.Consider

Answers

Answer 1

Answer:

Option (2).

Step-by-step explanation:

Number of Democrats in a political discussion = 8

Number of Republicans = 3

Number of independents = 7

Total members in the discussion = (8 + 3 + 7)

                                                       = 18

Probability of selecting an independent = [tex]\frac{7}{18}[/tex]

Remaining members after selecting one independent = 17

Probability of selecting a Democrat = [tex]\frac{8}{17}[/tex]

Probability of selecting a Republican then a Democrat = [tex]\frac{7}{18}\times \frac{8}{17}[/tex]

                                                                                           = [tex]\frac{28}{153}[/tex]

Therefore, Option (2) will be the answer.


Related Questions

What is the value of 2 5/8 divided by 7/10

Answers

Answer:

3  3/4

(Decimal: 3.75)

Step-by-step explanation:

let x be 3 and y be 4 and z is 5
x + y / xz

Answers

Answer:

7/15

Step-by-step explanation:

3 + 4 / 3 * 5

7 / 15

Answer:

[See Below]

Step-by-step explanation:

[tex]Hey~There![/tex]

_____________________

First we have to turn to into a proper equation:

[tex]3+4[/tex] ÷ [tex]3*5[/tex]

Now we solve the two parts:

[tex]3+4=7[/tex][tex]3*5=15[/tex]

Then we can divide:

[tex]7[/tex] ÷ [tex]15=0.466666667...[/tex]

_____________________

So your answer would be:

Full equation: [tex]3+4[/tex] ÷ [tex]3*5[/tex]Simplified Equation: [tex]7[/tex] ÷ [tex]15[/tex]Simplified Answer: [tex]0.47[/tex]

_____________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex]

slove for x 3x-24=81​

Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

[tex]3x-24=81[/tex]

Collect like terms and simplify

[tex]3x=81+24\\\\3x = 105[/tex]

Divide both sides of the equation by 3

[tex]\frac{3x}{3} = \frac{105}{3} \\\\Simplify\\\\x = 35[/tex]

(-2+8i)(3-10i)
Step by Step

Answers

(-2+8i)x(3-10i)

-2 x 3 - 2 x (-10i) +8i x 3- 8i x 10i
-6+20i+24i - 80i ^2
-6+20i+24i - 80 x (-1)
-6+20i+24i + 80
Answer: 74+44i

The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?
A.
-84.3°C
B.
-14.94°C
C.
14.94°C
D.
84.3°C

Answers

Answer:

i am pretty sure it's -14.92

Step-by-step explanation:

Answer:

B!!!

Step-by-step explanation:

Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 + x grams/cm^2

Answers

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

0.05
[tex]0.05 \div 0.416[/tex]
help me solve​

Answers

The answer is 0.12019231

B.6-(5x-9)2 for x=1

Answers

Answer:

14

Step-by-step explanation:

Step 1:

6 - ( 5x - 9 ) 2       Equation

Step 2:

6 - ( 5 ( 1 ) - 9 ) 2     Input x

Step 3:

6 - ( 5 - 9 ) 2      Multiply

Step 4:

6 - ( - 4 ) 2        Subtract

Step 5:

6 - ( - 8 )      Multiply

Answer:

14        Add

Hope This Helps :)

Answer:

14

Step-by-step explanation:

1) 6-(5[1]-9)2

2) 6-(5-9)2

3) 6-(10-18)

4) 6-(-8)

5) 14

Mason sells life insurance policies. He earns a 12 percent commission on every policy he sells. He made the following sales this week: Monday $425.00, Tuesday $694.25, Wednesday $296.14, Thursday $501.85, and Friday $358.76. What is his commission for the week?

Answers

Answer: Mason made $185.00

Step-by-step explanation:

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.  (Just ignore the "suits part ._.)

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.

You have discovered another alien.
What is the equation of the line that provides the
correct path to rescue this alien?
y = 5
y = x + 5
y = -x + 5
y = 5x

Answers

Answer is : y= -x + 5

Answer:

y=-x+5

Step-by-step explanation:

have a great day :))))

What is the range of possible values for x?
The diagram is not to scale.

Answers

Answer:

I think the answer is B :)

Step-by-step explanation:

The solution is Option B.

The value of x is given from the inequality equation 0 < x < 27

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

From the parallelogram , AB ≈ BC

So , The ( ∠ CBD ) > ( ∠ ABD )

Substituting the values in the equation , we get

( 2x ) < 54°

Divide by 2 on both sides of the equation , we get

x < 54/2

x < 27°

And , ∠ ABD cannot be negative or zero ,

So , 2x < 0

Divide by 2 on both sides of the equation , we get

x < 0

Hence , the inequality equation is 0 < x < 27

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

help help pls plz pls fast pls

Answers

Answer:

The third one

Step-by-step explanation:

Answer:

Hey mate......

Step-by-step explanation:

The third option is the correct one....

hope it helps,

mark me as the brainliest.....

follow me.....

which number line model represents the expression -2+ (- 7/2)

Answers

Answer: -5.5

Step-by-step explanation:

(; -2= 7/2

-5+ 7 =12

12/2=5

8 is greater than or equal to x, and 3 is less than or equal to x

Answers

Answer:

x = (3,4,5,6,7,8)

Step-by-step explanation:

3 <= x <= 8

By using the 20 percent off coupon that she found in the newspaper, Jill saved $4 on the extra large bag of dog food that she bought.

Percents
Total
20%
20%
20%
20%
20%
100%
$4
$4
$4
$4
$4


What was the cost of the bag of dog food without the coupon?
$8
$12
$16
$20

Answers

The correct answer for this would be $20

Answer: The answer would be $20, because 20% 5 times is 100% and 4 times 5 is 20

which fraction is equivalent to 0.36

Answers

Answer: 9/25, Percentage: 36%

What is the slope of the line that passes through the points (10,11) and (-6,3)?

Answers

Answer: m = ½

.............................

8. The area of a square weightlifting platform is 16 m2. a) Sketch the platform. What are its dimensions? b) What is the perimeter of the platform?

Answers

Answer:

Step-by-step explanation:

Area of a square platform = Length × Length

A = L² (note that all the sides of a square are equal)

Given

A = 16m²

L² = 16

L = √16

L = 4m

Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)

Perimeter of the square = 4L

P = 4(4)

P = 16m

Hence the perimeter of the platform is 16m

will give brainlist plz help its for my 9 week exam

a. 228
b. 229
c. 172
d. 171

Answers

Answer:

I think its 229

if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229

DUE TODAY PLEASE HELP​

Answers

Answer: 6. 113.398  7.  354.882  8. 4.82803

HOPE THIS HELPS!

Step-by-step explanation:

The line that passes through the points (3,0) and (-5,8) is
A.)Decreasing
B.)Increasing
C.)Horizontal
D.)Vertical

Answers

The answer is A.
If you were to graph the points, the slope connecting the two would be negative. Meaning the line is decreasing.

GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅

Answers

Answer:

Option 3

Step-by-step explanation:

f inverse =

[tex] \frac{3x - 15}{4} [/tex]

The table represents a linear function.
What is the slope of the function?
-10
-5
5
10

Answers

using two points to find the slope use
y2-y1/x2-x1
i chose points (0,4) and (2,14)
14-4/2-0
10/2
5
The slope is 5

help anyone please??

Answers

Answer:

I believe 3 ways based on what I see in the picture.

pls help me!!! i can’t get it right

Answers

Answer:

  24√3 square units

Step-by-step explanation:

The side length of a regular hexagon is 2/√3 times the length of the apothem. For an apothem of 2√3, the side length is ...

  s = (2/√3)(2√3) = 4

The perimeter P of the hexagon is 6 times the side length, so is 6×4 = 24.

The area is given by ...

  A = 1/2Pa

where P is the perimeter and 'a' is the apothem.

  A = 1/2(24)(2√3) = 24√3

The area of the hexagon is 24√3 square units.

_____

A hexagon can be divided into 6 congruent equilateral triangles. The apothem will be the altitude of one of those, so will divide the triangle into two triangles with angles 30°, 60°, and 90°. The ratios of the side lengths of such a triangle is something you might want to remember: 1 : √3 : 2. The altitude corresponds to the "√3" side, and the side length of the equilateral triangle corresponds to the "2" side. That is, we have the proportion ...

  apothem : hexagon side = √3 : 2

Multiplying by 2 gives the actual values in the hexagon of this problem:

  apothem : hexagon side = 2√3 : 4

which two layers in this model represent parts of the earth that are mostly iron and nickel ​

Answers

Answer:

inner and outer core are the ones that have iron and nickel

Step-by-step explanation:

The answer is inner and outer core

Pleas help I give brainliest ! Jejsjsjsjssjsjs

Answers

The chosen answer is correct. Only the 8n is raised to the 4th power, not the number 2, so the 8n is multiplied four times

15 points

Draw a square



side 5cm
Diagonal 5cm

how will i draw it
with both 5cm​

Answers

Answer:

that's easy

Step-by-step explanation:

first we should check the 5 cm in scale .

Then we can easily draw 5 cm in side and diagonal.

hope it's clear to you.

evaluate the expression if m = -5 and n = 7
|-m+n|
|m+n|
-|m+(-n)|
-|-m|+n

Answers

Answer:

n  m

Step-by-step explanation:

mn

QUADRATIC EQUATION – WORD PROBLEMS
The length of a playground is 15 meters more than the width and the area is 2700 . If the width is x m, find an equation in x and hence, find the dimensions of the classroom.

The answer width =45 m , length = 60 m
I just need the steps

Answers

Answer:

let the width of the playground be X

length will be (X+15)

area - length * width = 2700

(X+15)* X = 2700

x^2+15x-2700=0

x^2+60x-45x-2700=0

X(X+60)-45(X+60)=0

(X+60)(x-45)=0

x=45 because, the dimensions cannot be in negative

so length = 60 and width = 45

Other Questions
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