Consider a political discussion group consisting of 9 Democrats, 9 Republicans, and 5 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.

Answers

Answer 1

Hence, the probability of selecting two Democrats is [tex]45[/tex].

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

The meaning of probability is basically the extent to which something is likely to happen.

Here given that,

Consider a political discussion group consisting of [tex]9[/tex] Democrats, [tex]9[/tex] Republicans, and [tex]5[/tex] Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention.

Let us assume ,

The discussion of the democratic is [tex]x_1=9[/tex].

The discussion of the democratic is [tex]x_2=9[/tex].

The discussion of the democratic is [tex]x_3=5[/tex]

So, the total number of candidates are

[tex]x_t=x_1+x_+x_3\\\\=9+9+5\\\\=23[/tex]

Probability of independate candidate from the group of candidates is

[tex]P_1=\frac{x_3}{x_t}\\\\P_1=\frac{5}{23}\\\\[/tex]

As, the remaining number of candidates after the selectio of the independent candidate is

[tex]x_r=x_t-1\\\\x_r=23-1\\\\x_r=22[/tex]

Now, the remaining number of candidates from the group of total remaining candidates is

[tex]P_2=\frac{x_1}{x_r}\\\\P_2=\frac{9}{22}[/tex]

So, the probability of an independent Democrat using the probability is

[tex]P=P_1[/tex] × [tex]P_2[/tex]

[tex]P=\frac{5}{23}[/tex] ×[tex]\frac{9}{22}[/tex]

[tex]P=\frac{110(207)}{506}\\\\P=\frac{22770}{506}\\\\P=45[/tex]

Hence, the probability of selecting two Democrats is [tex]45[/tex].

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Related Questions

Y=-3x-17 and y=x-1
Solving linear systems by substitution

Answers

Answer:

x = 8, y = 7

Step-by-step explanation:

The two equations are

y = 3x - 17 [1]

y = x -1 [2]

Substitute y = x - 1 in the first equation

x - 1 = 3x - 17

==> x - 3x = -17 + 1

==> -2x = -16

==> x = -16/-2 = 8

Sub for x in [2]

y = 8 - 1 = 7

Find the domain of where f(x) = x + 10 and g(x)=x².

Answers

The domain of the function f(x)=x+10 is (-∞, ∞) and for the function g(x)=x² is (-∞, ∞).

What is meant by domain?

If a formula specifies a real function f, it may not be defined for some values of the variable. The natural domain or domain of definition of f is the set of real numbers on which the formula can be evaluated to a real number in this case. A partial function is often referred to just as a function, and its natural domain is referred to simply as its domain.

Given, f(x) = x + 10

g(x)=x²

The domain for the function f(x)=x + 10

So, the domain of f(x)=x+10 is (-∞, ∞)

The domain for the function g(x)=x²

The expression's domain is only real numbers, with the exception of places where it is undefined. Because there is no real number in this scenario, the expression is undefined.

So, the domain of the function g(x)=x² is (-∞, ∞)

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9 divided by 5830 using partial quotients

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Answer: 9 ÷ 5830 = 0 with remainder 9 ( 0 R 9 )

What is the difference between 0.5 and .12?
check my answer is
.38

Answers

Answer: 0.38 is correct!

Step-by-step explanation:

0.50 - 0.12 = 0.38
Your answer is correct

HELP RN
WHAT do we do to solve equations? W- H- A- T-

Answers

Answer:

Pemdas?

Step-by-step explanation:

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction.

Answer:

Uhm…

Step-by-step explanation:

You either add, divide, multiply, or divide

Das is how we solve equations

Please help me asap!

Answers

The value of the functions defined in the piecewise function f(1) - f(-7) is 4

How to evaluate the piecewise function?

From the question, we have the following piecewise function that can be used in our computation:

f(x) = | x + 8| - 9 if x ≤ -4

-x² - 3x if -4 < x ≤ 1

2x + 7 if x > 1

So, we have the expression to be

f(1) - f(-7)

In the function f(1), we have the x value to be

x = 1

This x value is at the domain -4 < x ≤ 1

So, we make use of

f(x) = -x² - 3x

Substitute 1 for x in f(x) = -x² - 3x

f(1) = -(1)² - 3(1)

Evaluate

f(1) = -4

In the function f(-7), we have the x value to be

x = -7

This x value is at the domain x ≤ -4

So, we make use of

f(x) = |x + 8| - 9

Substitute -7 for x in f(x) = | x + 8| - 9

f(-7) = |-7 + 8| - 9

Evaluate

f(-7) = -8

Recall that

f(1) - f(-7)

So, we have

f(1) - f(-7) = -4 - -8

This gives

f(1) - f(-7) = 4

Hence, the value of f(1) - f(-7) is 4

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the point {-2,1} is on the line given by which equation below

Answers

the answer is prolly not B

A video streaming company offers two monthly plans. Plan A charges $3 per video viewed plus a flat rate of $8 per month. Plant B charges $5 per video viewed and no additional flat rate.
A write and solve an inequality to determine when the cost of viewing n videos using plan A is less that the cost of viewing n video using plan B _________________

Plan A is less expensive when ____________________

PLEAE GIVE SIMPLE ANSWER WHAT GOES IN THE PLAN B LINE AND WHAT GOES IN THE PLAN A LINE.

Answers

Answer:

Plan B: 5n > 8

Plan A: 3n + 8 < 5n

Marc earns $3,300 per month in gross income. He withholds 28%
of his paycheck in taxes and deductions. What is his monthly net
pay?

Answers

Answer:

$2376

Step-by-step explanation:

Money Marc withholds from his gross income in taxes and deductions: We can do this by multiplying his gross income by the withholding rate of 28%, which gives us 0.28 * $3,300 = $<<0.28*3300=924>>924.

Next, we need to subtract this amount from Marc's gross income to find his net pay. This gives us $3,300 - $924 = $<<3300-924=2376>>2376. Therefore, Marc's monthly net pay is $2376.

What is the y-intercept of the graph that has a slope of 2 and goes through the point (3, 4)?

Answers

Answer:-2

Step-by-step explanation:

Step 1: Write this in slope-intercept form

y=mx+b

Step 2: Plug in the known values

m is the slope, x is the given x value, and y is the given y value

4=2(3)+b

Step 3: Solve for the y-intercept

the y-intercept is b, so all we need to do is solve for b

4=6+b

subtract 6 from both sides so that y is isolated

Answer: b=-2

The y-intercept is -2

A container hold 27 ounces of ice cream.how many 4 1/3 ounce servings is that

Answers

Answer:

Your answer is 6.23

Step-by-step explanation:

(attached)

Suppose that for each foot of land along a street, the
annual tax is $12 per foot. The diagram below shows a
plot of land.
800
46 ft
28 At
A
Street
Approximately, how much is the annual tax for the plot?

Answers

The annual tax for the plot based on the triangle and the side lengths is $1488

How to determine how much is the annual tax for the plot?

From the question, we have the following parameters that can be used in our computation:

Annual tax per foot = $12

Shape of the land = Triangle

Parameters of the triangle are represented as

Angle between sides = 80 degrees

Sides = 46 ft and 28 ft

The side represented as "Street" is calculated as

Street = The square root of Sum of the squares of the other sides - 2 * the product of the other sides * the cosine of the angle between them

Mathematically, this is represented as

Street = √46² + 28² - 2 * 46 * 28 * cos(80)

Evaluate

Street = 50

So, the perimeter of the land is

Perimeter = 50 + 46 + 28

Perimeter = 124 foot

Recall that:

Annual tax per foot = $12

So, we have

Yearly annual tax per foot = $12 * 124

Evaluate

Yearly annual tax per foot = $1488

Hence, the yearly annual tax per foot = $1488

Answers

[tex]\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7[/tex]

Could someone help me out? I don't get it

Answers

I first went to the factored form of the zeroes which is (x-2)(x+1)(x+5), then i did the FOIL (first inner outer last) strategy. (If the factored form wasn’t listed, you could find it through changing the sign)

(x-2)(x+1)(x+5)
(x^2-x-2)(x+5)
x^3-x^2-2x+5x^2+5x-10

So after simplifying this, you are left with

A.) x^3+4x^2-7x-10

Hope this helps!

f(x) = 2x³ + 6x² - 5x - 3
H
g(x) = 3x - 4
Find (f - g)(x).
A. (f - g)(x) = 2x³ + 6x² − 8x +1
B. (f- g)(x) = 2x³ + 6x² - 2x + 1
O c. (f-g)(x) = 2x³ + 6x² − 2x - 7
OD. (f- g)(x) = 2x³ + 6x² − 8x - 7
-

Answers

Answers C I took it

A catering company mixes taco seasoning and sour cream to make a vegetable dip. The table shows the amount of taco seasoning for various amounts of sour cream

Answers

Here is the completed table:

Taco 3 9 13.5

Sour cream 2 6 9

The amount of taco seasoning that is needed to make 15 cups of sour cream is 22.50 teaspoons.

What is the ratio of taco to sour cream?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

Given the information in the table, the amount of taco seasoning needed for 1 cup of sour cream is 2/3.

The amount of sour cream needed for 1 teaspoon of taco seasoning is 3/2.

The teaspoon of taco seasoning needed for 9 cups of sour cream : 3/2 x 9 = 13.5 teaspoons

Cups of sour cream needed for 9 teaspoons of taco seasoning : 2/3 x 9 = 6 cups

The teaspoon of taco seasoning needed for 15 cups of sour cream : 3/2 x 15 = 22.50

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Find the measure of LK:

Lk=____

Answers

Using the secant-secant theorem,

[tex](4)(6)=(3)(2x+8) \\ \\ 24=3(2x+8) \\ \\ 8=2x+8 \\ \\ 2x=0 \\ \\ x=0 \\ \\ \implies LK=2(0)+5=\boxed{5}[/tex]

O
Tom wants to pour 84.99 grams of salt into a container. So far, he has poured. 17.4 grams. How much more salt should Tom pour?
grams
Explanation
Check
X
G
Eple Charter

Answers

The remaining amount of salt that Tom needed to pour was 67.59 grams.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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HELP THANKS SO MUCH THANKS

Answers

Answer:

m=4

Step-by-step explanation:

3.6m=14.4

Divide both sides by 3.6

3.6m=14.4

/3.6. /3.6

m=4

hopes this helps please mark brainliest

Answer:

m = 4

Step-by-step explanation:

Josh lives 1 4/5 mile from the park. So far he walked 2/3 of the distance from his house to the park. How many miles has josh walked

Answers

Answer:

2 7/15 miles

Step-by-step explanation:

1 4/5 = 1 + 4/5 = 5/5 + 4/5 = (5+4)/5 = 9/5

Then:

1 4/5 + 2/3 = 9/5 + 2/3

9/5 = 27/15

2/3 = 10/15

Then:

9/5 + 2/3 = 27/15 + 10/15 = (27+10)/15

= 37/15

37/15 = 30/15 + 7/15 = 2 + 7/15

= 2 7/15

100-44+891-812+56/ 1/2

Answers

Answer:

93.5

Step-by-step explanation:

Use the symbols, or to compare each pair of values. Answer: -6.81 0.979 -0.87 5%

Answers

Answer:

-6.81 < 0.979, -0.87 > 5%

Step-by-step explanation:

1. Compare the whole numbers of each pair: 6 < 0 and -0 < 5

2. Compare the decimal numbers of each pair: 0.81 < 0.979 and 0.87 > 0.05

3. Combine the two comparisons to get the final result: -6.81 < 0.979 and -0.87 > 5%

simplify the expression.
-5(2x-7) -3x

Answers

Answer: -13x+35

Hope this helps! :)

Step-by-step explanation:

-5(2x-7)-3x

(1. Distribute)

-10x+35-3x (2 negatives make a positive when multiplying and dividing)

(2. Combine like terms)

-13x+35 (Add the negatives)

G
E (17x-7)
19°
K
H
I
27°
D
K is the incenter of triangle DEF.
What is the value of x?

Answers

x=1000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000

0000000000000000000000000000

what is 6/7 closest to 0,1 or 1/2?

Answers

Answer:

Step-by-step explanation:

Because 0 is nothing 1 is equal to 7/7 and 1/2 is equal to 3.5/7 so 7/7 is closer to 6/7

After washing dishes, water drips from the faucet. The graph shows the number of cups of water that drip from the faucet over time. How many gallons of water drip from the faucet in 24 hours?

Answers

The number of gallons of water that drip from the faucet in 24 hours is; 6 gallons

How to Interpret Linear Graphs?

We can see from the graph, that the x-axis represents the time in hours that the cup of water has dripped from the faucet while the y-axis represents the number of cups that has dripped from the faucet over a specific time frame.

Now, from the graph, we see the following coordinates;

(1, 4)

(2, 8)

(3, 12)

(4, 16)

Thus;

Slope = (8 - 4)/(2 - 1)

Slope = 4

Thus, the rate is 4 cups drip per hour.

1 hour = 4 cups dripping

Thus; 24 hours = (24 * 4)/1 = 96 cups

Now, conversion rate of cups to gallon is;

1 cup = 1/16 gallon

Thus;

96 cups = 96 * 1/16 = 6 gallons

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Would you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles are congruent, write not enough information. Explain your answer.

Answers

The true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that:

The sides marked with II are congruent.

The triangles are congruent.

Thus, the true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.

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write the equation Y=1/9 x +5 in standard form

Answers

Answer:

x - 9y = -45

Step-by-step explanation:

y = 1/9 x + 5 Multiply all the way through by 9 to clear the fraction

9y = x + 45 -9y from both sides

0 = x - 9y + 45 Subtract 45 from both sides

-45 = x - 9y You can rewrite

x - 9y = --45

What is the Square root of 4x to the 10th power?

Answers

Answer:

2x^(5/2)

Step-by-step explanation:

The square root of 4x^10 is (4x^10)^1/2.

Therefore, the square root of 4x^10 is (2x^5)^1/2.

This means that the square root of 4x^10 is 2x^(5/2).

Divide.
(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)
Simplify your answer as much as possible.

Answers

This is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

What is the polynomial equation?

An algebraic equation, also known as a polynomial equation, in mathematics, is a formula of the form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.

We have,

(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)

(32 x³z² - 16 x⁷z⁵ - 20 x⁷z⁷) * 1/(4x⁵z⁴)

[tex]\frac{(32 x^3z^2 - 16 x^7z^5 - 20x^7z^7) }{(4x^5z^4)}[/tex]

[tex]=\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

Hence, this is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

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Consider a political discussion group consisting of 9 ​Democrats, 9 ​Republicans, and 5 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting two Democrats.

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Consider a political discussion group consisting of 9 Democrats, 9 Republicans, and 5 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.