11. Twelve contestants are competing to be 15.
on American Idol. The judges will keep either way
three or four of the contestants. How many
more groups would be formed if the judges
pick four instead of three?
A) 275
B) 715
C) 792
D) 10,560

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

Out of 12 contestants, the judges will select either 3 or 4 contestant.

Number of groups that can be formed when judges pick three contestants

[tex]^{12}C_3[/tex]

[tex]220[/tex]

Number of groups that can be formed when judges pick three contestants

[tex]^{12}C_4\\495[/tex]

Number of more  groups that can be formed if the judges  pick four instead of three

[tex]= 495-220 = 275[/tex]

Hence, option A is correct


Related Questions

You can earn 5 coins
The product of 80 and 5,000 is...?

Answers

Answer: 400,000

Explanation:
80 * 5,000 = 400,000

Answer:

The answer is 400000 :)

Step-by-step explanation:

The product in math is the answer to a multiplication problem. The result of multiplying two numbers together is the product.

80 × 5000 = 400000

The slope of a line is ½ and the y-intercept is 4. Which choice is the x-intercept of this line?

[1] -8 [2] 8 [3] -4 [4] 4

Answers

Answer: y = 1/2x + 4

Step-by-step explanation:

PLEASE HELP ASAP: The height of the rectangular prism measures 64 cm. If the height is increased by 1.5​ cm, by how much will the surface area of the box​ increase?

Answers

Answer:

5cm

Step-by-step explanation:

i dont know maybe I'm right

have a nice day

AABC ~ DEF. What sequence of transformations will move AABC onto ADEF

Answers

Answer:

C

Step-by-step explanation:

i am smart

I need help due tmrw

Answers

Answer:

yo ill help you but do you happen to have a argumentative essay written ill help u if you help me

Franklin rode the City Center Ferris Wheel, which has a diameter of 130 meters. For 55 seconds of the ride, the cabin that Franklin was riding in traveled at 1.2 meters per second. In that time, what distance around the wheel did Franklin's cabin travel?

Answers

Answer:

66 meters

Step-by-step explanation:

The formula to calculate the distance around wheel is

Speed (meters per second) × Time (seconds)

Speed = 1.2 meters per second.

Time = 55 seconds

Distance = 1.2 meters per second × 55 seconds

Distance = 66 meters

Therefore, in that time, the distance around the wheel that Franklin's cabin travelled is 66 meters

what is the relative frequency of students speaking spanish?​

Answers

Answer:

Step-by-step explanation:

add all of them up,  Julie,   6 + 12 + 3 + 4 = 25  

there are 25 total students.  now divide each of the number of people that speak that language by the total students

6/25 = .24 = 24%

12/25= .45 = 48%

3/25 = .12 = 12%

4/25 = .16 = 16%

Also, if you want to just check,  see if the percentages add to 100%

Using the relative frequency concept, it is found that the relative frequencies for students speaking each language is:

Arabic: 0.24Spanish: 0.48German: 0.12Vietnamese: 0.16

--------------------------------

A relative frequency of a to b is a/b, that is, the number of desired outcomes divided by the number of total outcomes.

--------------------------------

6 + 12 + 3 + 4 = 25 students.6 speak Arabic, thus, the relative frequency of students speaking Arabic is 6/25 = 0.24.12 speak Spanish, thus, the relative frequency of students speaking Spanish is 12/25 = 0.48.3 speak German, thus, the relative frequency of students speaking German is 3/25 = 0.12.4 speak Vietnamese, thus, the relative frequency of students speaking Vietnamese is 4/25 = 0.16.

A similar question is given at https://brainly.com/question/20630951

The question is in the picture help please

Answers

Answer:

8

Step-by-step explanation:

the rectangles length is 1 because 2^0 = 1

the width is 8 because 2^3 which is also 2 x 2 x 2 = 8

to find the area it would be length times width.

1 x 8 = 8

Final answer: 8 square meters

Drag each tile to the correct box. A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.

Answers

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

See attachment for complete question

Required

Order from least to greatest

In a dataset, the range is:

[tex]Range = Maximum - Minimum[/tex]

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum <         <              <           < Maximum

The median is the middle item; So, the above becomes

Minimum <         < Median <           < Maximum

In a dataset, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

This implies that:

[tex]Q_3 > Q_1[/tex]

So, we have:

Minimum < Q1 < Median < Q3< Maximum

The table below shows the labor charges of an electrician for jobs of different lengths.
Number of Labor Charges
Hours (n) (C)

Which function represents the situation?
C (n) =35n + 25
C (n) = 25n +35
O C (n) = 25n +30
o C (n) = 35n + 40

Answers

Answer:

(C) (n) = 25n+35

Step-by-step explanation:

25×1+35=60

25×2+35=85

25×3+35=110

25×4+35=135

Factorise 2 + 14 + 12

Answers

Answer:

2(1+7+6) = 2(14) = 28

Step-by-step explanation:

2+14+12

2(1+7+6)

simplify -5/8 (- 3/8 -14)

Answers

Answer:

575/64

Step-by-step explanation:

-5/8(-3/8-14)

15/64+70/8

15/64+560/64

575/64

evaluate the expression

7∛27+5

Answers

the answer is 26
hope it helps

Answer:

26

Step-by-step explanation:

The radical must be evaluated first.  The cube root of 27 is 3.  Then we have:

7(3) + 5 = 21 + 5 = 26

_________ is the displacement of an object during a specific unit of time.

Answers

Answer:

velocity

Step-by-step explanation:

velocity is the answer

Find the sixth term of the geometric sequence
9, 18, 36, ...

Answers

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

PLEASE HELP ME OUT PLEASEEE!! which of the following are solutions represented by the graph below? choose all that apply

a. (0, 2)
b. (1, 0)
c. (3, -4)
d. (4, -1)
e. (-1, 3)

Answers

Answer:

a, b, and c are represented by the graph.

Step-by-step explanation:

i hope this helps :)

NO websites or inappropriate answers and please show me the steps for all the answers

Answers

Answer:

1) 7 Miles

2) $750

3) I did not get what it was asking, sorry.

Step-by-step explanation:

1) It is 5 dollars per mile.

You can divide 35 by 5 to get to 7 miles.

2) You find the constant by dividing one of the pairs, in this example, I chose the first row of numbers.

Divide $100 by 4, which will get you $25 per session.

Multiply 30 by 25 which will get you $750

During a race sample of five sports cars has a mea speed of 175mph. The speeds in miles per hour of cars are 186,181,170,151, find the speed of the five car

Answers

Answer:

Speed of 5th car = 187 mph

Step-by-step explanation:

Given:

Mean speed of five car = 175 mph

Speed of four cars = 186,181,170,151 mph

Find:

Speed of 5th car

Computation:

Average mean = Sum of all observation / Number of observation

Mean speed of five car = Sum of five cars speed / Number of cars

175 = [186 + 181 + 170 + 151 + Speed of 5th car] / 5

186 + 181 + 170 + 151 + Speed of 5th car = 175 x 5

186 + 181 + 170 + 151 + Speed of 5th car = 875

688 + Speed of 5th car = 875

Speed of 5th car = 875 - 688

Speed of 5th car = 187 mph


A spinner is divided into 10 equal parts and numbered from 1 through 10. What is the probability of spinning a number less than 8 on the first
spin and greater than 5 on the second spin?

Answers

Answer:

7/10 * 1/2 = 7/20

Step-by-step explanation:

[tex]\frac{7}{10} * \frac{5}{10} \\\frac{7}{10} * \frac{1}{2} \\\frac{7}{20}[/tex]

Classify a triangle whose side lengths are 8, 16, and 18

Answers

Answer:

scalene

Step-by-step explanation:

When all sides aren't equal.

What is the median of the data set represented by the box plot below?
Data set: 32, 39, 44, 61, 69

Answers

median: 44
arrange your numbers from lowest to highest
count how many numbers you have
and divide
glad to help!

Enter the value of p so that the expression 20+ 100n is equivalent to -10 (0-10).

Answers

Answer:

hi hi hi hi hi hi hi hi hi hi

How can you remove energy from matter

Answers

Answer:

You can remove energy from matter by lowering its temperature.

lowering the temperature. you can’t destroy it but you can lower it

Question: Find the volume of the prism.

Please help!

Answers

Answer:

366 in^3

Step-by-step explanation:

I believe that would be 1025.4cm³

Ysaac, médico de turno en una clínica local, deja encargado a la enfermera Elisa la dosis de Panadol (mg) para todos los pacientes del hospital. La enfermera le pregunta ¿cuál es la Dosis?, y el médico le responde que la dosis anterior empleada en total para 10 pacientes adultos se encontraba resolviendo la ecuación x2+ 50x – 2400 = 0. Si la dosis actual ha disminuido en 10 miligramos para cada paciente. ¿Cuánto debe ser la dosis para cada paciente adulto actualmente?

Answers

Answer:

Each adult patient today taking dose of 13 mg.

Step-by-step explanation:

Given - Ysaac, a doctor on duty at a local clinic, leaves the Panadol dose (mg) to nurse Elisa for all hospital patients. The nurse asks him what is the Dose ?, and the doctor answers that the previous dose used in total for 10 adult patients was solving the equation x2 + 50x - 2400 = 0. If the current dose has decreased by 10 milligrams for each patient.

To find - How much should the dose be for each adult patient today?

Solution -

Given that, the equation is -

x² + 50x - 2400 = 0

⇒x² + 80x - 30x - 2400 = 0

⇒x(x + 80) - 30(x + 80) = 0

⇒(x - 30)(x + 80) = 0

⇒x = 30, -80

But dose can not be negative

So, x = 30

∴ we get

The previous dose is 30 that is given to 10 patients

So,

1 patient is taking 3 mg previous dose

Now,

Given that,

If the current dose has decreased by 10 milligrams for each patient.

So,

The current dose = 3 mg + 10 mg

                             = 13 mg

⇒The current dose = 13 mg

∴ we get

Each adult patient today taking dose of 13 mg.

A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44 median 36; q3=44 median 30;q3=39 median = 36;q3=39

Answers

The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.

Answer:

Kindly check explanation

Step-by-step explanation:

From the attached picture, the median and upper quartile value of the boxplot are :

The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.

In the attached boxplot , the median = 29

The upper quartile = 38

1 1) Beth bought a book that normally cost $25.00. It was on sale for 35% off.
How much did she pay for the book?

I need help ASAP

Answers

Answer:

$16.25

Step-by-step explanation:

I need help! If you could explain that would help alot
(find x using cross multiplaction 4x+6 and x+9)
NO LINKS YOU WILL BE REPORTED

Answers

Answer:

x = 3. (Refresh if you cannot see the explanation.)

Step-by-step explanation:

[tex]\frac{4x+6}{3} = \frac{x+9}{2}\\\text{Cross multiply.}\\2(4x+6)=3(x+9)\\\text{Distribute.}\\8x+12=3x+27\\\text{Subtract 3x from both sides.}\\5x+12=27\\\text{Subtract 12 from both sides.}\\5x=15\\\text{Divide both sides by 15.}\\x=3\\\\\text{Proof:}\\\\\frac{4x+6}{3}=\frac{x+9}{2}\\\text{Substitute variable.}\\\frac{4(3)+6}{3}=\frac{3+9}{2}\\\text{Simplify numerators.}\\\frac{18}{3}=\frac{12}{2}\\\text{Divide both sides.}\\6=6[/tex]

HELLPPP II NEED HELP FILL TIS IN THANK YOU.....

Answers

Answer:

9, 4.5 x 2 = 9

4.5 = 45 tenths and 0.5 = 5 tenths

5 tenths x 9 = 45 tenths

4.5/0.5 = 9

6.3/0.9 = 7, 0.9 x 7 = 63, 63 / 0.9 = 7

Step-by-step explanation:

What is 21^3 * 21^5/ 21^2 as a single Power

Answers

Answer:

21 to the tenth power or 21^10

Step-by-step explanation:

when multiplying exponents with the same base, you would add the exponents together

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