A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 10 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed?

Answer:

year boy built an igloo =3/4

year3 girl built same igloo=3/7

To find out all together how much have built =3/4+3/7

if we take alceam

4×7=28

in fraction down we need to make 28

so 3/4 we multiply by 7 and 3/7we multiply by 4

3×7/4×7+3×4/7×4=21/28+12/28=21+12/28

33/28

to find out we divide fraction we will know what left .

1,5/28

5is left.

Answer:

3 2/3 cups

Step-by-step explanation:

1 1/3 for one recipe.

2/3 cups for the second recipe.

1 2/3 for the third recipe.

Add all of the amount of cups used to get the total amount of sugar used.

1 1/3 + 2/3 + 1 2/3 = 3 2/3

She used 3 2/3 cups of sugar in all.

hope this helps!! p.s. i really need brainliest :)

Answer:2/3 i believe

Step-by-step explanation:

In a rhombus the parallel sides have the same slope so BC should have the same slope as AD.

the value of the iterated integral is (π/8) (2 - e^(-16)).

We have the iterated integral:

∫[0,4] ∫[0,√(16-x^2)] e^(-x^2-y^2) dy dx

To convert this to polar coordinates, we need to express x and y in terms of r and θ.

We have:

x = r cos(θ)

y = r sin(θ)

We also need to express the differential element dA in terms of polar coordinates. We have:

dA = r dr dθ

Substituting these expressions into the given integral, we get:

∫[0,π/2] ∫[0,4] e^(-r^2) r dr dθ

The limits of integration for θ are 0 to π/2 because the region lies in the first and second quadrants.

We can evaluate this integral using the fact that the integral of e^(-r^2) is √π/2:

∫[0,π/2] ∫[0,4] e^(-r^2) r dr dθ

= ∫[0,π/2] [-1/2 e^(-r^2)] [0,4] dθ

= ∫[0,π/2] (1/2 - 1/2 e^(-16)) dθ

= π/4 - π/8 (1 - e^(-16))

= (π/8) (2 - e^(-16))

To know more about coordinates visit:

brainly.com/question/22261383

#SPJ11

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

Marguerite sailed 4 hours on Saturday and 3 hours on Sunday.

Step-by-step explanation:

Answer:

❌She sailed for 4 hours.

✅She sailed for 7 hours.

❌She sailed 44 miles in all.

✅  She sailed 77 miles in all.

Your Welcome!!!

Answer:

-2x(6x⁴ - 7x² + x - 5)

= -12x⁵ + 14x³ - 2x² + 10x

Answer:

See screenshot

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

11+11<25

The sum of 11 and 11 is less than 25 and therefore, this triangle is not possible.

The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.

False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.

For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.

In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.

Learn more about fundamental here:

https://brainly.com/question/31801938

#SPJ11

The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

More information about summation here:

https://brainly.com/question/11741791

#SPJ11

Answer:

x=1

Step-by-step explanation:

it is

The distance between two points:

\( \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }\)

From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:

\( \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } \)

Hence the distance between two points is √89.

Answer

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

\(A=P(1+\frac{r}{100})^n\)

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

\(P=\$39000\\r=2.2\%\\n=4yrs\)

Putting values in above equation, we get:

\(A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9\)

Hence, $42546.9 will be the earning in 4 years.

Total time = 2 hours

Time playing video games = 50 minutes

We have to write an equation:

Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes

Time must be in the same unit ( minutes)

since 60 minutes =1 hour

2 hours = 2 (60) =120 minutes

Back with the equation:

120 x = 50

Solving for x

x = 50/120

x = 0.42

In percentage form:

0.42 x 100 = 42%

Answer:

B is the answer

Step-by-step explanation:

(√(1.5³ * 1.5⁷))/1.5²

√ 1.5 ^(3+7) ÷ 1.5²

√1.5^10 ÷ 1.5²

1.5⁵ ÷ 1.5²

1.5^(5-2)

1.5³

Answer:

I think it is c I hope it helps have a good day

To find the p-value for a right-tailed one-mean hypothesis test using a TI-83 calculator, you can follow these steps: Determine the test statistic: In this case, the test statistic is given as z₀ = 1.07.

Look up the corresponding cumulative probability (area under the standard normal curve) for the test statistic: In the provided table, find the row corresponding to 1.0 and the column corresponding to the tenths digit of 0.07. In this case, the value is 0.859. Subtract the cumulative probability from 1: 1 - 0.859 = 0.141.

The p-value for the right-tailed one-mean hypothesis test with a test statistic of z₀ = 1.07 is 0.141.

To learn more about hypothesis click here: brainly.com/question/29576929

#SPJ11

The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Know more about inferential statistics here:

https://brainly.com/question/27169962

#SPJ4

The level of confidence, variability estimates, and sample size can help determine the accuracy (sample error) and estimate the costs of the sample.

Explanation: The level of confidence (e.g., 95%) indicates the probability that the sample accurately represents the population. It determines the range within which the population parameter is estimated. The variability estimates, such as the standard deviation or variance, provide information about the spread of the data. By combining the level of confidence, variability estimates, and sample size, one can estimate the accuracy or sample error, which represents how closely the sample statistics reflect the population parameters.

Determining the costs of the sample involves factors beyond the provided information, such as data collection methods, analysis procedures, and logistical considerations. The representativeness of the sample depends on the sampling method used and how well it captures the characteristics of the target population.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Sylva's utility function: U(x, y) = k * x * (2/5) * y, where x is the number of cartons of eggs and y is the number of cheese bags consumed.



Sylva's utility function can be represented as U(x, y) = k * x * (2/5) * y, where x is the number of cartons of eggs consumed and y is the number of cheese bags consumed. The ratio 2/5 represents the fact that for every five cartons of eggs, Sylva consumes two cheese bags. The constant k scales the utility function based on Sylva's preferences.

In this utility function, the more eggs and cheese Sylva consumes, the higher her utility. The coefficient 2/5 ensures that the utility gained from cheese bags is proportional to the number of eggs consumed. By multiplying x and y, we account for the quantity of both goods consumed. The constant k adjusts the overall level of utility according to Sylva's individual preferences.

It's important to note that the utility function provided is a simplified representation based on the given information. In reality, individual preferences and utility functions can be more complex and may depend on various factors such as taste, price, and individual satisfaction.

Therefore, Sylva's utility function: U(x, y) = k * x * (2/5) * y, where x is eggs and y is cheese.

To learn more about utility function click here brainly.com/question/31055643

#SPJ11

Eric will have enough fencing for the following measurements

B. length = 20 yards

width = 5 yards

C. width = 12 yards

perimeter = 48 yards

D. length = 26 yards

area = 22 square yards

For fencing the material Eric has which is 54 yards, is the perimeter of the  flower bed

checking for perimeter using the formula

P = 2 * (length + width)

Also solving for other dimensions when area is given the formula is

= length * width

Values less than 54 yards is within Eric's range

A.  the width is 300 / 30 = 10 and perimeter = 2 * (30 + 10) = 80 yards

B. P = 2(20 + 5) = 50 yards

C. perimeter is given as 48 yards already

D. width = 22 / 26 = 0.846, P = 2 * (26 + 0.846) = 53.692  

E P = 2(16 + 14) = 60 yards

F. P = 162 yards

Learn more about perimeter at:

https://brainly.com/question/19819849

#SPJ1

ANOVA is a powerful statistical tool that can be used to compare means across multiple groups. By following these guidelines, researchers can be confident that the ANOVA results are valid and accurate.

The required condition for using an ANOVA procedure on data from several populations is that the selected samples are dependent on each other.

Know more about the ANOVA

https://brainly.com/question/15084465

#SPJ11

The derivative formula for the function g(x) = 15 - 8ln(x) is g'(x) = -8/x.

To find the derivative of g(x), we can use the power rule and the chain rule. The power rule states that the derivative of x^n is n*x^(n-1), and the chain rule allows us to differentiate composite functions.

In this case, g(x) is a combination of a constant function (15) and the natural logarithm function (ln(x)). The derivative of the constant term (15) is 0 since it does not depend on x.

The derivative of the natural logarithm function, ln(x), is 1/x. Therefore, using the chain rule, the derivative of -8ln(x) is -8 * (1/x), which simplifies to -8/x.

Hence, the derivative of g(x) = 15 - 8ln(x) is g'(x) = -8/x.

Learn more about natural logarithm here:

https://brainly.com/question/29154694

#SPJ11

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

To solve this problem, we need to first assign each tape a starting position of 0 degrees. Then, we can use the given codes to determine the movements of each tape. The position of the tape will be at 135° after performing A+D three times.

Let's start with the first calculation, A+D. If we add the codes for tape A and tape D (which are 2 and 0 respectively), we get 2+0=2. Since this is the lowest number in the calculation, the tape will only make a turn of 45 degrees. Therefore, tape A will move to the 45 degree position. Tape D will also move to the 45 degree position since it is part of the calculation.

For the second calculation, we need to add A+D again. This time, the result will be 2+0=2. However, tape A is already in the 45 degree position, so it will not move. Tape D will also stay in the 45 degree position.

Finally, for the third calculation, we need to add A+D one more time. The result will again be 2+0=2. Since tape A and tape D are already in the 45 degree position, they will not move.

Therefore, the final positions of the tapes are:
Tape A: 45 degrees
Tape B: 0 degrees
Tape C: 0 degrees
Tape D: 45 degrees

This solution may not be the only correct one, as there may be multiple interpretations of the given information.
To solve this problem, let's break down the information given:

1. There are 3 tapes that can revolve 360°, each with similar features.
2. There are 4 possibilities for numbers: 2 (A), 4 (B), 6 (C), and 0 (D).
3. If D+C = A+B, each calculation makes a movement of 90°. However, if it's the lowest number in the calculation, it makes a turn of 45°.
4. We need to find the position in degrees if the tape adds A+D three times.

First, let's determine the value of A+D, which is 2+0 = 2.

Now, we have to calculate the angle change when adding A+D three times. Since 2 is the lowest number in the given set, each addition will result in a 45° turn.

So, after three additions of A+D:

45° (1st addition) + 45° (2nd addition) + 45° (3rd addition) = 135°

The position of the tape will be at 135° after performing A+D three times.

Learn more about calculation at: brainly.com/question/31142122

#SPJ11

Answer: 4032

Step-by-step explanation:

72x56=4032

Answer:

The product of 72 and 56 is 4,032.

Step-by-step explanation:

"Product" means multiplication, so you need to multiply 72 by 56. I'm soo sorry if that's wrong :(

Answer: The triangles in set 3 are congruent by side angle side.

Step-by-step explanation:

The markers along the base indicate that the bottom of both triangles are congruent

The squares tell us that both triangles have 90 degree angles

The triangles share a side which means that a second side is congruent

Answer:(0,8) or 8

I hope this is good enough:

Answer:

(0,8)

Step-by-step explanation:

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

the x-intercept is 3 and the y-intercept is -4

Step-by-step explanation:

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)