in how many ways can a committee of Three Men and four women be formed from a group of twelve men and six women?​

Given the speed = 55 mi/h

Let the time = t

And the distance = d

so,

speed = distance over the time

So,

so, the distance for a speed of 55 mi/hr will be given using the following equation:

SOLUTION

(a) The probability of at least 4 girls means the probability of getting 4 girls or the probability of getting 5 girls.

Using binomial probability formula

Where p is the probability of success,

q = probability of failure

n = number of outcomes

x = number of successful events.

Probability of getting 4 girls means 4 success (4 girls) and 1 failure (1 boy)

So,

Probability of getting 5 girls means all 5 success (5 girls) and 0 failure (0 boy)

So, we have

So, The probability of at least 4 girls becomes

Therefore, the answer is 0.1875

(b) Probability of at most 4 girls is 1 - the probability of 5 girls

P(5 girls) = 0.03125

So

Therefore, the answer is 0.9688 to four decimal places

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

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

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

Read more about inequality at

https://brainly.com/question/30994664

#SPJ1

The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.

The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.

To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.

For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.

In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

For more such questions on constant of proportionality, click on:

https://brainly.com/question/1835116

#SPJ8

Answer:

d is what I have for my answer

Answer:

1.6

Step-by-step explanation:

since it is 5 days and you are splitting the traik mix

divided the amount of trail mix by the day

Answer:

The answer is D

Step-by-step explanation:

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

Given

PR and SU are parallel lines.

To find the pair of corressponding angles.

Explanation:

From, the figure,

Since PR and SU are parallel and the corressponding angles lie in the same corner.

Then,

Hence, the answer is Option c).

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Answer:

<STR = 38degrees

Step-by-step explanation:

Find the diagram attached

Complete Question:

In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?

Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y

y+y+104 = 180

2y = 180-104

2y = 76

y = 38degrees

Since <STR = y, hence the measure of <STR = 38degrees

Answer:

66

Step-by-step explanation:

Since the triangels are similar, 3x+18=4x+2.

Let's solve that.

3x+18=4x+2

16=x

THIS IS NOT THE VALUE OF THE ANGLE! We have to plug x into one of the equations to find the answer.

3(16)+18=66

Answer:  There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

Step-by-step explanation:   hope this helps

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

To learn more about : calculation

https://brainly.com/question/17145398

#SPJ8

(4x-16)/3 = 36

4x-16 = 108

4x = 108+16

4x = 124

x = 124/4

x = 31

Answer:

x = 31

Step-by-step explanation:

=> \((4x-16)\frac{1}{3} = 36\)

Multiplying 3 to both sides

=> \(4x-16 = 36*3\)

=> 4x-16 - 108

Adding 16 to both sides

=> 4x = 108+16

=> 4x = 124

Dividing both sides by 4

=> x = 31

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

To learn more on Area click:

https://brainly.com/question/20693059

#SPJ1

Answer:

Only 2 people out of each class Has overdue books so it will be 14 So it was to high :/

Step-by-step explanation:

Answer: I presume Jasmine is

Step-by-step explanation: if there are 24 due books that means there are 84 student, which isn’t that many

Answer:

8865= 6000 * 1.05\(x^{ttt}\)

Step-by-step explanation:

if it is compound interest you multiply initial saving by 1.05 as this is and increase by 5% to the power of the number of years he has saved for.

8865= 6000 * 1.05\(x^{ttt}\)

1.4775=1.05\(x^{ttt}\)

to find ttt:

\(log _{1.05}\)\(1.4775= 8.0006=8\)

thus ttt= 8 years

The function f(x) = x^2 + 1 can be graphed using the coordinates (x, y) where x is the x-coordinate, and y is the y-coordinate.

This function can be written as y = x^2 + 1. Using this equation, we can plot the graph of the function. To plot the graph, we need to plot points on the x-axis and y-axis. The x-axis is the horizontal line and the y-axis is the vertical line.

For example, let us take a point x = 0. Substituting x = 0 in the equation f(x) = x^2 + 1, we get y = 0^2 + 1, which is equal to 1. So, we can plot the point (0,1) on the graph. Similarly, we can plot the point (1,2), (2,5), (3,10), (4,17), (5,26), and so on.

By plotting all these points, we can get the graph of the function f(x) = x^2 + 1. This graph is a parabola with vertex at (0,1). It is an increasing function, which means that as the value of x increases, the value of y also increases. The graph is also symmetric about the y-axis.

Learn more about function here:

https://brainly.com/question/28193995

#SPJ4

Answer:

A

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

2 + 3 = 6

6 x 10 = 30

30 snowmen

Answer:The employer pays .90 * 12240 = $ 11016. The emplyee pays .10 *12240 = $ 1224 = annual contribution. Contribution rate = (100% - 90%) = 10%.

Step-by-step explanation:

Answer:

a) $1,224

b) $51

Step-by-step explanation:

a) To calculate Darrell's annual contribution, we need to determine the portion he pays out of the total premium.

Given that the employer pays 90% of the cost, Darrell is responsible for the remaining 10%.

Annual contribution = Total premium × 10%

= $12,240 × 0.10

= $1,224

Therefore, Darrell's annual contribution is $1,224.

b) To find Darrell's semimonthly deduction, we divide his annual contribution by the number of semimonthly periods in a year.

Number of semimonthly periods in a year = 12 (months) × 2 (semimonthly periods per month) = 24

Semimonthly deduction = Annual contribution / Number of semimonthly periods

= $1,224 / 24

= $51

Therefore, Darrell's semimonthly deduction is $51.

Hope this helps!

The percent of people who refused the offer is derived as 14%.

To calculate the percentage, we multiply the total number of people to whom the offer was made by 100 and divided by the number of people who refused the offer.

percent of people who refused the offer = [(250 × 100)/25]%

percent of people who refused the offer = [250000/25]%

percent of people who refused the offer = 14%

Thus, the percent of people who refused the offer is calculated to be 14% of the 250 people whom the offer was made.

Learn more about percent here:https://brainly.com/question/24877689

#SPJ1

Answer:

12

Step-by-step explanation:

The figure is a right triangle with hypotenuse = QS

The  base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)

The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)

Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides

QS² = 3² + 4² = 9 + 16 = 25

QS, the hypotenuse = √25 = 5

The perimeter = sum of the sides = 3 + 4 + 5 = 12 units

Let me solve it down for you :)

The shape is a cuboid, so its dimensions will be:

\( \sf \: Surface \: area \: of \: cuboid = 2(lb + bh + hl)\)

\( \sf \: S.A. = 2(12 \times 5 + 5 \times 10 + 12 \times 10)\)

\( \sf \: S.A. = 2(60+ 50 + 120)\)

\( \sf \: S.A. = 2(230)\)

\( \sf \: S.A. = 460 \: {m}^{2} \)

Dimensions of the cuboid:

\( \sf \: Volume = l \times b \times h\)

\( \sf \: Volume = 12\times 5 \times 10\)

\( \sf \: Volume = 600 \: {m}^{3} \)

Convert m to cm, according to the question:

600 Cubic meter =

600,000,000 Cubic Centimeters

Answer:

a

 \(P(r n L) =  0.12\)  

b

 \(P(L) = 0.225\)

c

  \(P(\= r | L) = 0.4667 \)

Step-by-step explanation:

The chance that it will rain is  \(P(r ) = 0.30 \)

 The chance that it does not rain is \(P(\= r ) = 1 - P(r )  \)

                                                             \(P(\= r ) = 1 -0.30  \)

                                                              \(P(\= r ) = 0.70  \)

The probability that the bus run late if it rains is  \(P(L | r) = 0.4\)

 The probability that the bus run late if it does not rain is   \(P(L | \= r) = 0.15\)

  Generally the probability that it will rain and the bus will be late is mathematically represented as

     \(P(r n L) = P(L | r) * P(r)\)

=>  \(P(r n L) = 0.4 * 0.30\)

=>  \(P(r n L) = 0.12\)  

Generally the probability that the bus will be late is mathematically represented as

     \(P(L) = P(r) * P(L|r) + P(L | \= r) * P(\= r)\)

=>  \(P(L) = 0.30 * 0.4 +0.15*0.70\)

 =>  \(P(L) = 0.225\)

Generally given that the bus ran late,  the probability that the bus it was not raining is mathematically represented as

      \(P(\= r | L) = 1- P(r | L )\)

Here  \(P(r | L ) = \frac{P(r n L)}{P(L)}\)

=>   \(P(r | L ) = \frac{0.12}{0.225}\)

=>   \(P(r | L ) = 0.533 \)

So

      \(P(\= r | L) =  1- 0.533\)

   =>   \(P(\= r | L) =  0.467 \)

Answer:

width = 7/2

length = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4i+8)-(5i-5) = 4i + 8 - 5i + 5 = -i+13

Answer:

<N is corresponding to <P   and  <P and <L correspond

Step-by-step explanation:

Corresponding angles: any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

To improve understanding of this topic look up corresponding angles and go to pictures. I believe it shows a more clear example

Hope this helps :D