A casting director wishes to find one male and one female to cast in his play if he plans to audition seven males and eight females in how many different ways can this be done

Answers

Answer 1

There are 7 males and 8 females out of which we 1 male and 1 female is to be selected.

Number of ways to select 1 male from 7 are [tex]^7C_1[/tex].

Number of ways to select 1 female from 8 are [tex]^8C_1[/tex].

So, number of ways to select 1 male and 2 female is :

[tex]n = ^7C_1 \times ^8C_1\\\\n = 56[/tex]

Therefore, total number of ways are 56.

Hence, this is the required solution.


Related Questions

a line through (2.4) with slope 0

Answers

y=4 is going to be the answer.

Answer:

y= 4

Step-by-step explanation:

y-b=m(x-a)

y-4=0(x-2)

y-4=0

y=4

mary-ann has $28 which is 2 1/3 as much money as lola has how many money does lola have?

Answers

Answer:

$12

Step-by-step explanation:

.......12...........

if p =(3
) and q=(-1 -3) find such that p-
q + 2r =(8 11)​

Answers

Answer:

i RLLY DON"T KNOW

Step-by-step explanation:

So answer this ok WHO HATES JIJI on ST MATH

Answers

Answer:

me

Step-by-step explanation:

Answer:

st math

Step-by-step explanation:

solve 7(x-3)+x+22=17 for x.

Answers

Answer:

x=-13/4

Step-by-step explanation:

hope this helps :)

Answer:

x = 1

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x-3)+x+22-(17)=0  

Step by step solution :

STEP  1:

Pulling out like terms

1.1     Pull out like factors :

  2x + 2  =   2 • (x + 1)  

Equation at the end of step  1:

STEP  2:

Equations which are never true:

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x+1 = 0  

Subtract  1  from both sides of the equation :  

                     x = 1

One Solution Was Made :

x = 1

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN!

which equation shows a proportional relationship A. y = 1/2x-1/2 b. y= 2x-2 c. y = 1/2 x d. y = 2/x

Answers

Answer:

c

Step-by-step explanation:

Richard and Teo have a combined age of 36. Richard is 12 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answers

Answer:

teo is 8 and richard is 28

Step-by-step explanation:

Please answer all of these

Answers

What’s the questions

Evaluate the expression for x = 3, y=13, and z = 5.

12x−3y/4x−z


plz help

Answers

Hiya! The answer is 5.

I hope I was of assistance! #SpreadTheLove <3

The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are the numbers?

Answers

Answer:

This is a bit confusing for me but here we go.

1x110

10x11 and

i don't really know the third

Step-by-step explanation:

12. According to the label, the package of crackers contains 6 grams of fat, which is 8% of the recommended daily value.
How many total daily grams of fat are recommended in a day?

Answers

The answer is 75 grams of fat

ANSWER PLEASE 15 pts.
A box of $100 sanitizing wipes costs $12 . How much does one wipe cost?

Answers

Answer:

One wipe is worth $[tex]8.33[/tex].

Step-by-step explanation:

[tex]100[/tex] divided by [tex]12 = 8.33[/tex]

Answer:

8.33

Step-by-step explanation:

Imagine that James has been bowling for over 10 years and never gets any better or any worse. The probability that he will bowl a strike on any attempt of rolling a bowling ball stays at a constant 55%. During a particular bowling game, what is the probability that James will not bowl a strike until his fourth attempt?

Answers

Answer:

5.01%

Step-by-step explanation:

In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...

55 / 100 = 0.55

45 / 100 = 0.45

0.45 * 0.45 * 0.45 * 0.55 = 0.05011875

Multiply by 100 to get percentage.

0.05011875 * 100 = 5.01%

the zoo has 30 animals all of them are lions or monkeys. There is a ratio of 3 lions to 7 monkeys. How many monkeys are there?

Answers

Answer:

21 monkeys

Work:

The ratio is 3:7 so 3*3=9 lions 7*3=21 monkeys

9+21=30

The sequence below follows the Fibonacci rule.
Calculate the next term.
8, 13, 21, 34, 55 *

Answers

Answer:

89

Step-by-step explanation:

8, 13,

8+13= 21

13+21 =34

21+34=55

34+55=89

In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2

Answers

Answer:

1. Point A: (0, 2)

Point B: (-1, -3)

Point C: (-2, 4)

2. Point A: (-2, 4)

Point B: (6, -2)

Point C: (3, 5)

3. Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

1.

Reflection of point A:

Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.

In this case, 0 does not need to change since it already lies on the x-axis.

The coordinate for A will stay the same as (0, 2).

Reflection of point B:

Again, change the x-coordinate to negative.

1 → -1

The coordinate for B will now be (-1, -3).

Reflection of point C:

2 → -2

The coordinate for C will now be (-2, -4).

2.

Reflection of point A:

Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.

In this case, -4 would change to just 4.

The coordinate for A will stay the same as (2, 4).

Reflection of point B:

Again, change the y-coordinate to negative.

2 → -2

The coordinate for B will now be (6, -2).

Reflection of point C:

-5 → 5

The coordinate for C will now be (-1, 5).

3.

This is going to be a bit harder than the previous two, but I know you can handle it. :)

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.

Hope this helped!

The graph of  Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.

What is reflection about?

A reflection over line is known to be a kind of  transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.

Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.

Therefore to be able to construct the graph of  Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and  A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.

Learn more about graphing from

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When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.

x 1 2 3 4 5
y 17 21 23 26 34
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.

Group of answer choices

The slope approximates the cost of Hana's lunch.

The y-intercept approximates the average cost of one book.

The y-intercept approximates the cost of Hana's lunch.

The slope approximates the average cost of one book.

The trend line goes through the origin.

Answers

Scatter plots are used to represent data of dual numerical values.

The true statements about the scatter plot of Hana's purchase are:

The slope approximates the average cost of one book. The y-intercept approximates the cost of Hana's lunch.

I've added as an attachment, the scatter plot that represents Hana's purchase.

From the attached plot, we have the following observations

The x-axis represents the number of booksThe y-axis represents the amount spent

Because the x-values represents the number of books, the slope of the graph would represent the cost of a book.

The amount spent on a meal is constant;

This amount can be gotten when the number of books is 0;

In other words, the y-intercept represents the cost of Hana's meal.

Hence, the true statements are: (c) and (d)

Read more about scatter plots at:

https://brainly.com/question/12636182

A video game has 26 levels. You can score 5,337 points on each level. How many
hurry plzz

Answers

Answer:

Rounded: 205

Orignal:205.269230769...

Step-by-step explanation:

Divide 5337 by 26

Answer: at the end of the game u have 138762 points

Step-by-step explanation: new high score

Clinton had his sister sell some of their toys at a garage sale. Clinton makes $12.94 at the sale, and his sister makes $20.18.How much less did Clinton make at the garage sale than his sister

Answers

Answer:

$7.24

Step-by-step explanation:

it just is

4 pts
Question 1
(04.01 MC)
The supervisor at an office randomly selected 45 employees and observed their work habits. She recorded the
number of items sold as well as the total time the employees spent at their desk. Classify the random variables
from the survey. (4 points)
Number of items sold, discrete; time spent at desk, discrete
Number of items sold, continuous; time spent at desk, continuous
Number of items sold, continuous; time spent at desk, discrete
Number of items sold, discrete; time spent at desk, continuous
O Unable to determine from information given

Answers

Answer:

Number of items sold, discrete; time spent at desk, continuous

Step-by-step explanation:

The random variables from the survey is number of items sold, discrete; time spent at desk, continuous

What is random selection ?

A selection that is chosen randomly (purely by chance, with no predictability). Every member of the population being studied should have an equal chance of being selected.

According to the question

The supervisor at an office randomly selected 45 employees and observed their work habits.

She recorded

i > number of items sold  

ii > total time the employees spent at their desk  

As per observation

Number of items sold = discrete

as it is not possible to sell items in a continuous manner

But

time spent at desk = continuous

as every employee spend time at there desk

Hence, the random variables from the survey is number of items sold, discrete; time spent at desk, continuous

To know more about random selection here:

https://brainly.com/question/14728233

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The POTW clubhouse needs to replace their front steps. A suggestion for the
steps is shown below. The steps are of equal depth and equal height. The steps
are 120 cm high, 120 cm from front to back and 100 cm wide
The stairs are to be painted gold and the two sides are to be painted black. One
of the two sides that is to be painted black is shaded in the diagram. The back
and bottom of the structure will not be seen and will not be painted.
Determine the total area to be painted gold and the total area to be painted
black

Answers

Answer:

What is the POTW clubhouse.

120x120x100= your answer.

the answer is 1,440,000. hope I helped

Answer:

120x120x100= your answer.

the answer is 1,440,000

Step-by-step explanation:

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

If 4.6 plus 1.9 times a number equals the sum of the number and 94.6, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Answer:

The number is:

x=99.67

Step-by-step explanation:

Let 'x' be the number

4.6 plus 1.9 times a number 'x' = 4.6 + 1.9xSum of number 'x' and 94.6 = x+94.6

Given that 4.6 plus 1.9 times a number equals the sum of the number and 94.6.

so the equation becomes

[tex]4.9+1.9x=x+94.6[/tex]

[tex]1.9x-x=94.6-4.9[/tex]

[tex]0.9x=89.7[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0.9x\cdot \:10=89.7\cdot \:10[/tex]

[tex]9x=897[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9x}{9}=\frac{897}{9}[/tex]

[tex]x=\frac{299}{3}[/tex]

[tex]x=99.67[/tex]

Therefore, the number is:

x=99.67

Are the expressions equivalent?
A. 7.4(12,5 – 8,4)=37, 4x4; 1
B. 596 +6=? 25+ 30c
C. 3(36-2=286-5

Answers

B

Bc I said it’s b ;)

Marcy needs to bake 80 cupcakes for a party. She has already baked 1/4 of the cupcakes needed. How many more cupcakes has she has to bake?

Answers

Answer:

60 cupcakes

Step-by-step explanation:

1/4 of 80 is 20

20+20+20+20=80

See the picture below please help me and thank you.

Answers

Answer: -1.13

Step-by-step explanation:

It cost 21 dollars to sent 3 packages. how much does it cost to send 1 package?

Answers

Answer:

7

Step-by-step explanation:

21/3=7

Answer:

7 dollars/$7

Step-by-step explanation:

21 divided by 3 = 7

$7 to send 1 package.

Hello I need help
Find the missing side lengths, leave your answers as radicals in simplest form

Answers

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[tex]y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\ [/tex]

[tex]y = \frac{4 \sqrt{3} }{3} \\ [/tex]

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[tex]x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\ [/tex]

[tex]x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\ [/tex]

[tex]x = \frac{8 \times 3}{2 \times 3} \\ [/tex]

[tex]x = \frac{8}{2} \\ [/tex]

[tex]x = 4[/tex]

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Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?



TELL ME HOW U DO IT !


I WANT A WHOLE NUMBER OR A DEMSEL..
PLEASE AND THANK U !

Answers

Answer:

$ 0.75 per game

Step-by-step explanation:

Answer:

MAKE BRAINLIEST:

$0.75

Step-by-step explanation:

Please help me with math.​

Answers

Answer:

Step-by-step explanation:

1. Zero point six.

2. In 0.6 the 6 is in tenths place, so place 6 over 10 to create the equivalent fraction 6/10, and 0.60 is 60/100.

3. We can use the same diagram to represent 0.6 and 0.60 because they are equivalent, 0.6 is 60 percent cause the 6 is in the tenths place, 0.60 is also 60 percenr take the zero away and keep the decimal point which is  .60 the 6 is still in tenths place.

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What is -1 2/5 - (-1/5)? Each level of government has its own responsibilities, though some are shared. Which of the following actions is only for the national government?A. Collecting taxesB. Enforcing lawsC. Conducting electionsD. Establishing post offices -(5x 4) = 49 a.x = -9 b.x = -8 c.x = 9 d.x = 8 HELPPPPPPPP All the members of one species that live in the same geographic area make up a why could it be a disaster for an ecosystem if deers eats lions please help! will give brainliest and please answer seriously the diameter of a circle is given. find the radius I need help with this please Can anyone help me with this! Ive done most of it but I dont know weather its correct or not!!! I said I would give away all my points. So here take them. Here's the last 39. An object with mass 30 kg travelling as speed of 11 m/s receives an impulse of240 kg m/s. What is the final velocity of the object? rate of change of 15 Help I never get English correct One week, Gabriela and Luis earned the same amount of money. Gabriela earned $7.50 per hour babysitting and an additional $10 cleaning her neighbor's garage. Luis earned $6.25 per hour doing yardwork. During the same week, Luis did yardwork for 3 hours more than Gabriela babysat. Let h represent the number of hours Gabriela babysat. Which equation correctly represents this situation? 7.5(h+3)=6.25+10 7.5h=6.25(h3)+10 7.5(h+3)+10=6.25h 7.5h+10=6.25(h+3) 7.5h+10=6.25(h3) Two gas jars are connected to each other, but they are separated by a closed valve. One gas jar contains oxygen, and the other is empty. What will happen when the valve is opened? (3 points) aOxygen molecules will remain in their original jar because of the very high density of the oxygen molecules. bOxygen molecules will remain in their original jar because there is enough space in the original jar. cOxygen molecules will spread evenly throughout both jars because of weak intermolecular forces. dOxygen molecules will spread through both jars because of the high molecular weight of oxygen. what king of plate boundaries create volcanes??? From 76 inches to 21 inches Introduction:Briefly describe the physical behavior you investigated.What is the exploration about?What are you trying to discover?Relate to any previous work.Use new vocabulary words, if you can. elton is a candle maker each 15 cm long candle he makes burns evenly for 6 hours if elton makes a 45 cm long candle how long would it burn?PLSSSSS HELP ME WITH THIS Is neon neutral and stable or unstable? Throughout The Masque of the Red Death, Poe leaves us clues implying that Prince Prospero will not be able to escape the Red Death forever. Choose three clues and explain how they foreshadow the coming of the Red Death. Use specific examples from the text.