A stage manager is trying to seat important guests in the front row of a theater. The row has seven seats, and she would like a diplomat in the first seat, a singer in the second seat, and a movie director in the third seat. After this, the remaining diplomats, singers, and movie directors will be seated in the last four seats, in no particular order. If there are 3 diplomats, 2 singers, and 2 directors attending the show, how many different front row plans are possible?

Answers

Answer 1

Answer:  12 row plans

The first seat has 2 possible options, the 2 directors. The second seat has another 2 options. With each director comes 2 options for the second seat, so 2 x 2=4 possible options for the 1st and 2nd seats. The third seat has 3 options. That means for each combination of the 1st and 2nd seat, there are 3 possible options. 4x3=12 combinations.

Step-by-step explanation:


Related Questions

A paper weight is made in the shape of a triangular pyramid. The dimensions of the paper weight are shown. A triangular pyramid. The base has a base of 9 centimeters and height of 6 centimeters. The height of the pyramid is 7 centimeters. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the value of B, the area of the base of the pyramid? B = one-half (9) (6) B = (9) (6) B = one-third (9) (7) B = (9) (7)

Answers

Answer:

B=one half (9) (6)

Step-by-step explanation:

I took the test

Answer the question below.

Answers

Answer:

1/3

Step-by-step explanation:

Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?

LOOK AT PICTURE

Answers

The (-3,4) because it isn’t following the line it’s in between he two lines and the other answers are on the line.
I’m not sure but good luck you got this

The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.

Answers

9514 1404 393

Answer:

  ∠5 = 60°

  ∠6 = 30°

  ∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

  ∠5 = 60°

  ∠6 = 30°

  ∠7 = 120°

To investigate the relationship between age and preference for two mayoral candidates in an upcoming election, a random sample of city residents was surveyed. The residents were asked which candidate they preferred, and each resident was classified into one of three age-groups. The test statistic for the appropriate hypothesis test was 3.7408. Approximately what is the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference?
A. 0.0001
B. 0.1541
C. 0.2908
D. 0.5873
E. 0.7117

Answers

Answer:

B. .1541

Step-by-step explanation:

Not sure why but the teacher answer key had this listed, came on here to see why

Tina walks 1/2 mile in each 1/3 hour.

What is Tina's walking rate?


6 miles per hour

5 miles per hour

3/2 miles per hour

16 mile per hour

Answers

Answer:

6 mile per hour

Step-by-step explanation:

Tina runs 3/2 miles in an hour and it is her walking rate.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Tina walks 1/2 mile in each 1/3 hour.

So, Tina's walking rate is the distance she runs in an hour which is,

In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Larry read a 400-page book. He read at a rate of 10 pages per day for d days.

Answers

Answer:

It took him 40 days to complete the book.

Step-by-step explanation:

Divide 400 by 10 and you should get 40 as an answer.

Answer:

d=400/10

Hope this helps

11 divided by 6 please help

Answers

Answer:

1.83 (the 3 keeps going so I simplified it)

Step-by-step explanation:

11/6 = 1.8333333333 (keeps going...)

:))

Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196

Answers

Answer:

A

Step-by-step explanation:

(3x - 14)^2

9x^2 - 42x -42x +196

9x^2 - 84 +196 is the correct answer

questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth. ​

Answers

9514 1404 393

Answer:

  145.3 square inches

Step-by-step explanation:

The lateral area of the cylinder is given by ...

  LA = 2πrh

  LA = 2π(2.5 in)(9.25 in) = 46.25π in²

  LA ≈ 145.3 in²

About 145.3 square inches of paper is used for the label.

In a recent year, 21.4% of all registered doctors were female. If there were 45,700 female registered doctors that year, what was the total number of
registered doctors?
Round your answer to the nearest whole number.

Answers

Answer:

268396

Step-by-step explanation:

given that in a recent year 21.2% of all registered doctors were female. hence final answer is that there are total approx 268396 registered doctor's.

helpppp meeeee plssss i will love u forever

Answers

Answer:

hi

Step-by-step explanation:

-10s=-3-7

-10s=-10

s=1

have a nice day

8pq+20qr-16s factorise plz

Answers

Answer:

asd

Step-by-step explanation:

sadasdasdasdasnst465557

Answer:

Step-by-step explanation:

When f(x)= -4x + 7 ,find f(1)

Evaluate function for given value

Answers

Answer:

f(1)=3

Step-by-step explanation:

f(1)= -4(1)+7=3

The sample mean is a statistic. True or false​

Answers

Answer:

true

Step-by-step explanation:

The answer is not 15

Answers

the area would equal 30
Parallelogram = base * h
base = 10, height = 3
10 * 3 = 30

Answer: 30 cm^2

HELP WILL GIVE BRAINLIEST

Answers

The answer is b, there is only 1 y intercept so b is not true

Answer:

B

Step-by-step explanation:

So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!

I need help with this i cant cuaet understand it.​

Answers

Answer:

Seattle is more likely to have rain.

Step-by-step explanation:

Seattle has a 75% chance of rain

Tacoma has a 1/4 chance of rain.

100% = 4/4

75% = 3/4

50% = 2/4

25% = 1/4

25% < 75%

Answer:

Step-by-step explanation:

Help will be appreciated !

Answers

Answer:

The answer is 67.5!!

Step-by-step explanation:

Brainliest Please!

I WILL NAME BRAINSLEST WHI EVER ANSWRS FIRST AND DOESNT MAKE ME READ A LOT
The lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters.
The measures of two angles are 30 and 60 and the length of the included side is 12 inches.
The measures of the three angles are 45, 75, and 60"
Number of
Triangles
Glven Conditions
0
1
infinitely
many

Answers

Answer:

60? Maybe could be wrong

Step-by-step explanation:

0               Sides 4 cm, 2 cm, 7 cm

     1                ASA = 30°, 12 in, 30 cm

    ∞                Angles 25°, 75°, 60 °

FOUND THIS IN BRAINLY

Answer:

0 matches with 4,2, and 7 centimeters.

1 matches with 30, 60, and 12

infinitely many matches with 45, 75, and 60!

describe a good and safe relationship​

Answers

Answer:

Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.

Step-by-step explanation:

I hope this helps :)

Solve for a Chocolate Chip Cookie!

Answers

Answer:

Hi! The answer to your question is x=-2 and y=3

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

x= 4-2y and y= 2- 1/2x

now gimme my cookie

Someone please help me! I really need help I’ll mark brainliest

Answers

Answer:

it is B

Step-by-step explanation:

trust me i know this is right 100%

I am pretty sure it’s B! I had this question before so It should be B

A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)

Answers

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the mean absolute deviation is calculated as:

[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

solving steps for 2/3(9+x) = -5(4-x)​

Answers

Answer:

x = -6

Step-by-step explanation:

2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)

6 + 2/3x = -20 -5x ( add 20 on both sides)

26 + 2/3x = -5x ( minus 2/3x on both sides)

26 = -4.6x (divided -4.6x on both sides)

-5.6 = x ( round up)

-6 = x

hope this helps

If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?

Answers

Answer:

dimensions are 2 ft, 24ft

Step-by-step explanation:

width = w

length = 12w

Area of rectangle = 48 square feet

length * width = 48

12w * w = 48

12w² = 48           {Divide both side by 12}

w² = 48/12

w² = 4 =2²

w =2 ft

l = 12*2 = 24ft

Answer:

Solution :-

Let the width be w and Length will be 12w

So,

Area = lw

48 = 12w × w

48/12 = w²

4 = w²

√4 = √w²

2 = 2

Length = 12(2) = 24 cm

Breadth = 2 cm

[tex] \\ [/tex]

what is the answer pss help mw | -4 | _____ -4

Answers

Is it 0 or 4 one of those :)))

Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly?

( PLEASE HELP!!) ASAP
I'LL GIVE 70 POINTS IF CORRECT!!

Answers

Answer:

The line plot which has plots at the points 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 and a slope-line which goes roughly through the middle/mean of the points.

Step-by-step explanation:

HELP!!!
FIRST TO ANSWER GETS BRAINLEST!!!
Jack writes the following expression to compare the temperature on two winter days.
Choose >, < or = from the drop-down menu to make the statement true.
-2°C Choose...
-5°C

Answers

Answer:

-2 Celsius >-5 Celsius is the answer.

Answer:

-2 > -5

Step-by-step explanation:

think about which of the two numbers is nearest to 0

Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12

Answers

Answer:

3

Step-by-step explanation:

Sorry if it's wrong and semogamem helps

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