A committee is selected from a group of 10 men and 8 women. The committee will
be comprised of 3 men and 3 women. Which of the following expressions gives the number of different committees that could be selected from these 18 people?

Answers

Answer 1

Answer:

18 ÷ 6(10 + 8) ÷ (3 + 3)

I hope this helps!


Related Questions

Which real-life situation involves a linear function whose graph passes through the points? Y (0, 20) and x (4, 80)
A) the entrance fee to an amusement park is $15 and each book of ride tickets costs $20.
B) Jet ski rental costs $20 initially plus $15 for each hour.
C) Shoes are on a sale at a shoe store for $20 for the first pair and $17 for each additional pair.
D) You earn and deposit into a bank account money from chores at the rate of $20 per week.

Answers

Answer:

B) Jet ski rental costs $20 initially plus $15 for each hour.

Step-by-step explanation:

The equation of a line has the following format:

\(y = mx+b\)

In which m is the slope, which having two points on the line, is given by the change in y divided by the change in x, and b is the y-intercept, which is the value of y when \(x = 0\).

Passes through point Y (0, 20):

This means that \(b = 20\). So

\(y = mx+20\)

Slope:

Through points (0,20) and (4,80). So

Change in y: 80 - 20 = 60

Change in x: 4 - 0 = 4

Slope: 60/4 = 15

So

\(y = 15x+20\)

Situation:

We want a situation in which we have a fixed fee of 20, and then for each unit of time or of the product, and increase of 15. So the correct option is B

I am stumped >:( ahhhhhhh

I am stumped >:( ahhhhhhh

Answers

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

A trapezoid has coordinates F (−9, 6), G (−6, 9), H (−3, 9), and I (0, 6).
a. Dilate the trapezoid by a scale factor of 1/3 with a center of dilation at the origin.
b. Is the dilation a reduction or an enlargement? Explain your reasoning.

Answers

a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)

b) Dilation is reduction.

In this question, we have been given a trapezoid has coordinates F (−9, 6), G (−6, 9), H (−3, 9), and I (0, 6).

a. We need to dilate the trapezoid by a scale factor of 1/3 with a center of dilation at the origin.

The scale factor is 1/3

so, the coordinates of the image would be,

F' = 1/3 (-9, 6)

   = (-3, 2),

G' = 1/3(-6, 9)

    = (-2, 3),

H' = 1/3 (−3, 9)

    = (-1, 3),

and I' = 1/3 (0, 6)

         = (0, 2)

b. We know that a dilation is a geometric transformation that either enlarges or reduces a figure in size.

As we know, if the scale factor is between 0 to 1 then the image is reduction and if the scale factor is greater than 1 then the image is enlargement.

Here, scale factor is 1/3 which is 0 < 1/3 < 1

So, in this case the dilation is reduction.

Therefore, a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)

b) Dilation is reduction.

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Which is more, 70 inches or 6 feet?

Answers

Correct Answer:
6 feet

Explanation:
6 feet = 12 x 6 = 72 inches
72 inches > 70 inches
Hence, 6 feet is greater than 70 inches.

I would appreciate it if you mark my answer as brainliest.

6 + (9 − 1) 2 ÷ 4
the 2 is an exponent

Answers

6+(9-1)^2/4 = 22
______________[

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B​

Answers

Answer:

{2,4}

Step-by-step explanation:

.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.

Answers

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.

Answers

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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A more clear view of the graph.

A more clear view of the graph.

Answers

Answer:

Hi! The slope is  -3/2

Y intercept  2.5

(0,2.5)

Step-by-step explanation:

I hope this helps!

Answer:

The slope is \(\frac{-3}{2}\)

The y - intercept is 2 1/2

The y-intercept point is (0, 2 1/2)

Step-by-step explanation:

If you start at the point on the left to get to the lower point on the right, you need to go down 3 units and to the right 2 units.  This is the slope.  Going down represents a negative number and going right represents a positive number.  The slope is \(\frac{-3}{2}\)

The y -intercpet is where the graph is cross the y axis.  It looks like it is crossing between 2 and 3.  So, 2 1/2 is a good estimate.  Actually, I did calculate the y-intercept and it is in fact 2 1/2.

The point of the y-intercept is when x = 0

(0, 2 1/2)

Helping in the name of Jesus.

Plz help do tonight AT 3

Plz help do tonight AT 3

Answers

Answer:

I think its the first one

Step-by-step explanation:

you first subtract 2

the next one you subtract 1

then 0

then - 1

Answer:

\(y =\dfrac{4}{5} x\)

Step-by-step explanation:

From the table, note that for \(x\in(0, \infty)\) we have \(x> y\), on the other hand for \(x\in(-\infty, 0)\) we have \(x < y\).

Considering the basic case \(x = 0\), we conclude \(y = 0 \iff x = 0\), thus \(y = x- 2\) is not an option.

Also, once the domain and range have the same signal, \($y =-\frac{5}{4} x$\) can't be an option as well.

Finally, taking \(x = 10 \implies y=8\), testing the two remaining cases

\($y =\frac{5}{4} x \implies y=\frac{5}{4} \cdot 10 \implies y = 12.5$\)

\($y =\frac{4}{5} x \implies y=\frac{4}{5} \cdot 10 \implies y=8$\)

The function is \(y =\dfrac{4}{5} x\)

hello, please help me thanks:)​

hello, please help me thanks:)

Answers

Answer:

n<-12/7

Step-by-step explanation:

If a driver gear has 10 teeth at 45 RPM compute the number of teeth needed for the driven gear at 90 RPM?

Answers

By formula,

Gear speed ratio is given by;

\(\frac{T_1}{T_2}=\frac{N_2}{N_1}\)\(\begin{gathered} \frac{10}{T_2}=\frac{90}{45} \\ \text{Cross multiply to get.} \\ 90T_2=10\times45 \\ T_2=\frac{450}{90} \\ T_2=5\text{ t}eeth \end{gathered}\)

2783 and 7283
The value of 2 in ____is ____ times
The value of 2 in ______

Answers

The value of 2 in 2783 is 10 times the value of 2 in 7238

What is place value?

Place value of a number can be defined as the position of each digit in a number.

It is the value represented by a digit in a number on the basis of its position.

It is also known as system in which the position of a digit in a number determines its value.

Example:

The place value of 5 in 3500 is 500

The place value of 2 in 3240 is 200

Given the values:

2783 and 7283

The place value of 2 in 2783 is 2000

The place value of 2 in 7283 is 200

Find the quotient, we have:

= 2000/ 200

= 10

The value of 2 in 2783 is 10 times the value of 2 in 7238

Thus, the value of 2 in 2783 is 10 times the value of 2 in 7238

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4.2+(−0.4) pls solve the question

Answers

Answer:

3.8

Step-by-step explanation:

PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I PROMISE ILL MARK BRAINLEIST PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Stephanie swims 4/5 of a mile in 5/6 of an hour.

Enter the number of miles Stephanie swims in 1 hour.

Answers

Hi.. U should do like this

4/5 mile in 50 min

X mile in 60 min

X=5/4 mile

Answer:

5 milesss

:)))

Explain the difference between an indefinite integral and a definite integral.
A) An indefinite​ integral, after evaluating it at the limits of​ integration, results in a particular number. A definite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
B) A definite​ integral, after evaluating it at the limits of​ integration, results in a particular number. An indefinite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
C) An indefinte integral cannot always be integrated analytically and may require numeric​ integration, while it is always possible to integrate a definite integral. Definite integrals always return a real number after evaluation at its limits of integration.
D) A definite integral is defined and continuous over the interval of integration and has finite limits of integration. An indefinite integral is also defined and continuous over the interval of​ integration, but may have as a limit of integration.

Answers

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

For a standard normal variable , compute p(z<1.5)

Answers

Answer:

P(Z < 1.5) = 0.9331927987

First, determine if the three side lengths could form a triangle. (Recall from earlier, the sum of the two smaller sides must be greater than the third side). If yes, classify the triangle further as acute, right, or obtuse.17 ,1712 , Not a triangle
acute
right
obtuse

Answers

The triangle of given dimensions is isosceles and acute triangle.

Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.

Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -

side 1 + side 2> side 3

We see that 17 + 17 > 12

34 > 12

Thus, the triangle will form.

Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.

Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.

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Mr. Marshal spent his salary of $8 400 in the following manner: Rental .....1/5 Food.......1/10 Bank ......1/4 Miscellaneous ......... the remainder. what fraction of the money was spent on miscellaneous. how much did he spend on rental. if marshal spent 4/9 of miscellaneous on a trip what fraction of his entire salary was spent on the trip ?​

Answers

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Which transformations are needed to transform the graph of f(x) = 4^x to the
graph of g(x) = (4)(x+³) — 2
-
Select 2 correct answer(s)
Horizontal translation 2 units right
Vertical translation 2 units up
Vertical translation 3 units up
Vertical translation 2 units down
Horizontal translation 3 units right
Horizontal translation 3 units left

Answers

Answer:

Horizontal translation 3 units left

Vertical translation 2 units down

Step-by-step explanation:

Inside the parent function is horizontal.

Outside the parent function is vertical.

What is the Domain of f(x) = -x^3 + 6x^2 -10x + 4

What is the Domain of f(x) = -x^3 + 6x^2 -10x + 4

Answers

We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.

To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.

Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

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I need your help pls

I need your help pls

Answers

Answer:

1. Let the number is x

a) 8 more than 4 times a number is 28

Required equation:

4x + 8 = 28

b) Example would be:

Four teams of same number of members joined together and the team of eight joined them adding up to 28 people.

3.

Height - h, length - lh = 1/3lh = 5 feet, l = ?

    ----

l = 3hl = 3*5 = 15 feet

8.

Equation:

6a - 16 = b

Example situation:

6 packs of each containing a number of items. It was reduced by 16 (sold) and b number of items left in the stock.

Note. You need to add your details to the examples.

Find the area of the region bounded by the graphs of the equations. y = −x2 + 4x, y = 0

Answers

Answer:

Area = 32/3

Step-by-step explanation:

To find the area bounded by the graphs, we will

need to first equate the y values;

-x^2 + 4x = 0

x^2 = 4x

divide both sides by x

x = 4

So the area we want to calculate now is the integral of -x^2 + 4x from 0 to 4

Please check attachment for the integration solution

Find the area of the region bounded by the graphs of the equations. y = x2 + 4x, y = 0

Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x

2x-2
X
12x
x-1



44 minutes left please help !!!!!!

Which expression is equivalent to the following complex fraction?CO (X X2X-2x2x-2X12xx-144 minutes left

Answers

Answer:

\( \frac{x - 1}{2x} \)

Step-by-step explanation:

This is a correct answer.

find the equation of the line perpendicular to x=7 through point (4,-3)

Answers

Answer:

y= -3

Step-by-step explanation:

Because the only line that does through 4,-3 is y =-3

find the equation of the line perpendicular to x=7 through point (4,-3)

twenty insurance agents are randomly selected and asked if they own a handgun. fourteen of those surveyed said that they do own a handgun. if an insurance agent is randomly selected, estimate the probability that the agent will own a handgun. round your answer to two decimal places, if necessary.

Answers

The probability is 0.8427.

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. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?

Answers

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?

Answers

Airplane 1 had the fastest rate of descent during its landing.

To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.

Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:

-130 ft/s × 60 s/min = -7800 ft/min

Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:

(-97/8) ft/s × 60 s/min = -729.375 ft/min

Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:

-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)

Therefore, Airplane 1 had the fastest rate of descent during its landing.

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WHAT IS THE INVERSE VARIATION OF (3, 10) WHAT IS THE VALUE OF Y WHEN x = 5 ?​

Answers

Step-by-step explanation:

INVERSE variation means that   y = k/x

when x =3    y = 10

 10 = k/3    shows the proportionality constant k = 30

y = 30 / x       now when x = 5      y = 6

he program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.

63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%

Answers

Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -

66%, 69%, 72%

63%, 65%, 67%

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.

Let's call the starting intensity level "x".

Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.

To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.

If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.

If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.

Now let's check the remaining options -

63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.

Therefore, this option is valid.

66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.

Therefore, this option is valid.

Therefore, there are only two valid options -

66%, 69%, 72%

63%, 65%, 67%

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