In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?
A committee of four men and four women can be formed from a group of seven men and eleven women in
different ways.
--

Answers

Answer 1
Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550

Related Questions

EASY POINTS!

Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?

Answers

Answer:Can somebody also help me with this. i'm confused please hurry!

Step-by-step explanation:

Find the area of the figure

Find the area of the figure

Answers

I believe it’s 1,680 considering area is multiplication

Suppose the length of a certain rectangle is 6 meters less than four times its width. The perimeter of the rectangle is 78 meters. Find the length and width of the rectangle.

Answers

Answer:

Let's start by using the formula for the perimeter of a rectangle, which is:

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

We're given that the perimeter is 78 meters, so we can write:

78 = 2L + 2W

Simplifying this equation, we get:

39 = L + W

We're also given that the length is 6 meters less than four times the width, so we can write:

L = 4W - 6

Now we can substitute this expression for L into the equation we got earlier:

39 = (4W - 6) + W

Simplifying this equation, we get:

39 = 5W - 6

Adding 6 to both sides, we get:

45 = 5W

Dividing both sides by 5, we get:

W = 9

So the width of the rectangle is 9 meters. We can use this value to find the length:

L = 4W - 6 = 4(9) - 6 = 30

So the length of the rectangle is 30 meters.

Please Help me
Fred's account balance is -$13.37, and Hank's account balance is $11.17. Which of the following is true?
A.
Fred's account balance = Hank's account balance
B.
Fred's account balance > Hank's account balance
C.
Fred's account balance < Hank's account balance

Answers

Answer: i think its c, hope this helps

Step-by-step explanation:

Which function is graphed below?

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
y = one-third (3) Superscript x
y = 3 (one-third) Superscript x
y = (one-half) Superscript x Baseline + 2
y = (2) Superscript x Baseline minus 1

Answers

Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

How to solve the problem

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Which function is graphed below?On a coordinate plane, an exponential decay function is shown. The curve

Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

4. A recent poll of 1079 adults finds that 55% of Americans support a more stringent immigration law. Construct a 99% confidence interval of the proportion of the population that will support such a law.

Answers

Answer:

0.5306\(<\mu<\)0.5694

Step-by-step explanation:

USing the formuls for calculating the confidence interval for the population proportion;

CI = p±Z*√[p(1-p)/n]

p is the percentage proportion of the population 55%

Z is the z-score at 99% confidence interval = 2.576

n is the sample size = 1079

CI = 0.55 ± 2.576*[0.55(1-0.55)/√1079]

CI = 0.55 ± 2.576*[0.55(0.45)/√1079]

CI = 0.55 ± 2.576*[0.2475/√1079]

CI =  0.55 ± 2.576*[0.2475/32.85]

CI =  0.55 ± 2.576*[0.00753]

CI = 0.55 ±0.0194

CI =(0.55-0.0194, 0.55+0.0194)

CI = (0.5306, 0.5694)

Hence, a 99% confidence interval of the proportion of the population that will support such a law is 0.5306\(<\mu<\)0.5694

construct thruth table for each of the following Statement

Answers

Rhonda I just got home from

which property of equality is 4x-3=x+9

Answers

Answer:

Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.

5+3−2=6+2−2

This gives us a couple of properties that hold true for all equations.

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

ifa−b=c,thena−b+b=c+b,ora=c+b

The same goes with the subtraction property of equality.

ifa+b=c,thena+b−b=c−b,ora=c−b

As well as it goes for the multiplication property of equality. If you multiply each side of an equation with the same nonzero number you produce an equivalent equation.

ifab=c,andb≠0,thenab⋅b=c⋅b,ora=cb

And naturally this goes for the division property of equality as well. You can divide each side of an equation with the same nonzero number to produce an equivalent equation

ifa⋅b=c,andb≠0,thena⋅bb=cb,ora=cb

This gives us a way to change an equation to our own liking. Anything is acceptable as long as you do the same thing on both sides.

so pretty much what I'm tryna say it x=4

sorry for being so extra-

Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.

Answers

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Find the largest number which divides 248 and 1032 leaving the remainder 8 in each case.

Answers

Answer:

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

I really need help make sure that your answer is 7th grade appropriate

I really need help make sure that your answer is 7th grade appropriate

Answers

Examples:

1. Five increased by four times a number

\(5+4n\)

where n is the number

2.The product of 4, and a number decreased by 7

\(4(n-7)\)

What is the value of the expression below? 52 + (8 – 6)​

Answers

Answer:

54

Step-by-step explanation:

The answer is 64 I hope this helps let me know if there is anything else I can do to help

Which one of these lines is the equation
y = -½x + 2?

Line A - blue line

Line B - red line

Line C - black line

Line D - gold line

Which one of these lines is the equationy = -x + 2?Line A - blue lineLine B - red lineLine C - black

Answers

Answer:

Line B - red line

Step-by-step explanation:

The red
y intercept formula which is y= mx + b
The b represents the y intercept of the graph.
In this case the y intercept/ b would be 2
the red line was the only one to cross the y intercept of 2

hello I need help with question 2 attached is the tables created in question one which I need to base question 2 off of. 2. Find the domain and range of f(x)  and g(x) . Do you see any relationship between the domain of f(x) and the range of g(x) ? Do you see any relationship between the domain of g(x)  and the range of f(x)?

hello I need help with question 2 attached is the tables created in question one which I need to base

Answers

The given functions are:

\(\begin{gathered} f(x)=3x+2 \\ g(x)=\frac{x-2}{3} \end{gathered}\)

The domain is the set of all possible values that the independent variable (x) can take.

The range is the set of values that the function will take.

For these functions, the domain is all real numbers since they both will work with any positive or negative number (-∞,∞). Thus, the range is the same, all real numbers (-∞,∞).

But, for the purpose of the question let's analyze the interval you took for the table of values:

For f(x) function, you take x-values from -3 to 3, then the domain in this interval is [-3,3] and the range is the output values (f(x)), then the range is [-7,11].

For g(x) function, you take x-values from -7 to 11, then the domain in the interval is [-7,11] and the range (the g(x) values obtained) is [-3,3].

As can be noticed, in the interval the domain of the f(x) functions is the same as the range of the g(x) function, and the domain of the g(x) function is the same as the range of f(x) function. This happens because g(x) is the inverse function of f(x).

Find the missing side lengths, put answer as radical in simplest form
Look at picture for reference

Find the missing side lengths, put answer as radical in simplest formLook at picture for reference

Answers

The value of the missing side lengths x and y are 5√2 and 5 respectively.

What is the value of side length x and y?

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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I need help with a quiz

A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?

Answers

Answer: the area of the base will be multiplied by 4, since it will be changed from LW to

(2L)(2W) = 4LW

So, apply that to finding the new volume.

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.

The height of the prism will be given as,

960 = 80 x H

H = 960 / 80

H = 12 units

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

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Find the value of y.

Find the value of y.

Answers

The value of y is 4√3

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?

Select one:

a.
mean

b.
mode

c.
range

d.
interquartile range

Answers

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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According to the graph, a person has a fever when his or her body temperature is .

Answers

I’m not sure but try the word high

ANSWER:

A number line going from 95 to 102. A closed circle is at 100. Everything to the right is shaded.

Dr. Hilton uses the graph to determine if a patient has a fever. The graph shows body temperatures, in degrees Fahrenheit, that indicate a fever.

According to the graph, a person has a fever when his or her body temperature is  

✔ at least 100 degrees

.

I need help again‍♀️,

I need help again,

Answers

Answer:

The second choice.

Step-by-step explanation:

Answer:

2nd graph down

Step-by-step explanation:

3a+11 > 5

Subtract 11 from each side

3a+11-11 > 5-11

3a > -6

Divide each side by 3

3a/3 > -6/3

a >-2

Open circle at 02

line going to the right

Arrange the steps in order to simplify the expression

Arrange the steps in order to simplify the expression

Answers

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Arrange the steps in order to simplify the expression

A.11.1

B.12.7

C.9.2

D.8.5

A.11.1B.12.7C.9.2D.8.5

Answers

Answer: B. 12.7

Step-by-step explanation:

Answer:

D.8.5

Step-by-step explanation:

38.4/2=

19.2 L

19.2-10.7=

8.5

hope this helps ; )

The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.

Which statement is a correct comparison of the distribution of granola bag weights for brands A and B?
A. The bag weights for brand A have less variability than the bag weights for brand B.
B. The bag weights for brand A have more variability than the bag weights for brand B. C. Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
D. Brand B bags typically weigh more because the range of weights is higher than that of brand A.

The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.

Answers

Answer:

A. The bag weights for brand A have less variability than the bag weights for brand B.

Step-by-step explanation:

In a box plot display, measure of variability can be determined by the length of the rectangular box or/and by the length of the whiskers.

The longer or greater the length, the more the variability the data set has. The shorter or smaller the length, the lesser the variability.

The box plot display of Brand A has shorter rectangular box and a shorter whisker length compared to the box plot display of Brand B. Therefore, it can be concluded that: bag weights for Brand A have less variability compared to bag weights for Brand B.

The correct statement of comparison is:

"A. The bag weights for brand A have less variability than the bag weights for brand B."

Option B is incorrect. Bag weights for Brand A do not have more variability than those of Brand B.

Option C and option D are both incorrect. Neither an outlier nor range can be used to represent or describe "typical value" for a given data set.

Typical bag weights can be well represented or described by average bag weights or median weight of the data set.

Answer:

The answer is A.

Step-by-step explanation:

answer correct plz if u steal points ill report

answer correct plz if u steal points ill report

Answers

Answer:

In my knowledge

Option A

and I am 100% sure

explanation:

Continuous graphs are graphs where there is a value of y for every single value of x, and each point is immediately next to the point on either side of it so its option A

Answer:

Step-by-step explanation:

add me brainliest

answer correct plz if u steal points ill report

Not sure how to find angle C

Answers

Answer:

Need picture please

Step-by-step explanation:

12x-42=18 solve for x

Answers

12x-42=18

12x= 18 + 42 (Adding 42 to both sides of the equation)

12x=60 (Adding)

x=60/12 (Dividing by 12 on both sides of the equation)

x=5

The answer is x=5

Angle A corresponds to angle____

B
C
E
D
none of the above

Angle A corresponds to angle____ B CEDnone of the above

Answers

Answer: none of the above

Explanation:

There is no angle corresponding to angle A

Answer:

Angle E.

Step-by-step explanation:

Hope this helps!

1) Select the permutation that is the next one in lexicographic order after (4, 6, 2, 7, 3, 1, 5).
a. (4, 6, 2, 7, 3, 5, 1)
b. (4, 6, 2, 7, 5, 1, 3)
c. (4, 6, 2, 7, 1, 3, 5)
d. (4, 6, 3, 1, 2, 5, 7)
2) Select the 5-subset from {1, 2, 3, 4, 5, 6, 7, 8, 9} that is the next one in lexicographic order after {2, 3, 7, 8, 9}.
a. {2, 3, 7, 9, 8}
b. {2, 4, 5, 6, 7}
c. {2, 4, 5, 8, 9}
d. {2, 4, 7, 8, 9}

Answers

1) The permutation that is the next one in lexicographic order after (4, 6, 2, 7, 3, 1, 5) is (4, 6, 2, 7, 3, 5, 1). Therefore answer is a. (4, 6, 2, 7, 3, 5, 1).

2) The 5-subset from {1, 2, 3, 4, 5, 6, 7, 8, 9} that is the next one in lexicographic order after {2, 3, 7, 8, 9} is {2, 4, 7, 8, 9}. Therefore the answer is d. {2, 4, 7, 8, 9}.

The next permutation in lexicographic order is the one that comes immediately after the given permutation when the permutations are listed in numerical order. To find the next permutation, we need to find the rightmost pair of elements that are in decreasing order. In this case, that pair is (5, 1). We then need to find the smallest element to the right of 1 that is larger than 1, which is 3. We swap 1 and 3 to get (4, 6, 2, 7, 3, 5, 1).

To find the next 5-subset in lexicographic order, we need to find the rightmost element that can be increased. In this case, that element is 9. We then replace 9 with the smallest element to its right that is larger than 9, which is 4. We then need to rearrange the remaining elements in increasing order to get {2, 4, 7, 8, 9}.

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5
Select the correct answer.
If the domain of the function, f, is restricted to x 20, which function is the inverse off?
f(x) = 91² - 12, 20
O A. q(z) = √2+1
√√2-12
3
OB. h(z)
OC. p(z) = √2-12
c.
9
√2+12
D. g(x)
O D.

5Select the correct answer.If the domain of the function, f, is restricted to x 20, which function is

Answers

The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9

How to find the inverse of the function?

Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function

f(x) = 9x²- 12 for x ≥ 0.

To find the inverse of the function, we proceed as follows.

f(x) = 9x²- 12

Let f(x) = y

So, we have that

y = 9x²- 12

Adding 12 to both sides of the equation, we have that

y + 12 = 9x²- 12 + 12

y + 12 = 9x²

Dividing both sides by 9, we have that

(y + 12)/9 = 9x²/9

(y + 12)/9 = x²

Taking square root of both sides, we have that

√x² = √(y + 12)/9

x = √(y + 12)/9

Now, replacing x with y, we have that

x = √(y + 12)/9

y = √(x + 12)/9

Replacing y with f⁻¹(x), we have that

f⁻¹(x) = √(x + 12)/9

So, the inverse is p(x) = √(x + 12)/9

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Help please i have no idea how to do this please help

Help please i have no idea how to do this please help

Answers

Answer:

pretty sure its d

Step-by-step explanation:

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