A box contains 12 balls of which 5 are red, and 7 are blue. If 4 balls are drawn from the box, in how many ways can this be done if 1 is red and 3 are blue?

Answers

Answer 1

Answer:

175 ways

Step-by-step explanation:

5 balls are red, and 7 balls  are blue making a total of 12 balls.

4 balls are drawn from the box,

1 ball is red and 3  balls are blue out of the 4 drawn from the box.

We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.

Since the order is not essential we use combinations to find out

5C1 * 7C3= 5*35 = 175 ways


Related Questions

HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins

Answers

Answer:

x = 15

m<RQP = 33degrees

Step-by-step explanation:

From the given diagram, m<P = 90degrees

Equating this to 5x+15

5x+15 = 90

5x = 90 - 15

5x = 75

x = 75/5

x = 15

m<RQP = 2x+3

m<RQP = 2(15) + 3

m<RQP = 30 + 3

m<RQP = 33degrees

The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and
QS = 10 , find RT.



Can someone help pleasee

Answers

Answer:

10

Step-by-step explanation:

The diagonals of a rectangle are congruent.

RT = QS = 10

Answer: RT = 10

Answer:

Your answer should be 10.

Step-by-step explanation:

In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!

Solve for x Show your work

Answers

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

Which cancels 3 out, and you are left with

x = 12.

Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?

A) 200
B) 15
C) 185
D) 0

Answers

Answer:

15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)

Step-by-step explanation:

I JUST NEED SOME HELP PLEASE!! ~0~

Find the RATIO and the EXACT VALUE of the given Tan B.​

Answers

Answer:

Ratio: Tan B = 12/5

Exact value in degrees: [tex]67.38^{o}[/tex]

Step-by-step explanation:

SOH CAH TOA

Means Tan B  means opposite/adjacent.

Tan B = 12/5

B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]

B = [tex]67.38^{o}[/tex]

The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.

Answers

Answer:

7 hours

Step-by-step explanation:

Rental cost :

Fixed pay = $20

Hourly cost = 2.65

To obtain the minimum rental hour, we work with the least amount that can be spent ;

For tourist that can spend more than $37 but less than $65

Total cost of rental :

20 + 2.65h ; h = number of hours

When total cost > 37

20 + 2.65h > 37

2.65h > 37 - 20

2.65h > 17

h > 6.415

Hence, the minimum whole hour of bicycke rental is 7 hours

can some help me with this

(you can pick more than one for each column)

Answers

Answer:

no no nlnnlnl

Step-by-step explanation:

no sorryyy

i need a picture so i can get it right

given the figure below find the value of x and z

Answers

Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself

Step-by-step explanation:

Lolol

WILL GIVE BRAINLIEST IF RIGHT IG....PLEASE get it RIGHT....
find the volume of a cone with a diameter of 12m and a height of 8m.
ANSWER CHOICES
oA. 96m^3
oB. 384 pi m^3
oC. 96 pi m^3
oD. 288 pi m^3

Answers

Answer:

V = 96 pi m^3

Step-by-step explanation:

V = (1/3) pi(r^2)h

Radius = 1/2(Diameter)

R = 1/2(12)

R = 6

Input.  

V = (1/3) pi(6^2)8

Solve.

V = (1/3) pi(36)8

V = (1/3) 904.32

V = 301.44

V = 301.44/pi

V = 96 pi m^3

Answer:

The correct answer is option (C) 96π m³.

Step-by-step explanation:

As per given question we have provided that :

Diameter = 12 mRadius = 12/2 = 6 mHeight = 8 m

Here's the required formula to find the volume of cone :

[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]

➝ V = Volume➝ π = 22/7➝ r = radius➝ h = height

Substituting all the given values in the formula to find the volume of cone :

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cone is 96π m³.

[tex]\rule{300}{2.5}[/tex]

(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?

Answers

Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.

In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.

Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.

Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?

Answers

Answer:

C

cos pie= -1

so (3-(-1)=3+1=4

Step-by-step explanation:

Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB​

Answers

Answer:

50

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

Fast problem! Please help

Answers

Answer:

D. 122 degrees

Step-by-step explanation:

The angle next to the 133 degree angle is equal to 47 degrees because they are linear pairs. (Linear pairs will always add up to 180 degrees).

The angle below the 75 degree angle is equal to 75 degrees because they are vertical angles. (Vertical angles will always be equal to each other).

Then by using the Triangle Exterior Angle Theorem. Your missing angle is equal to 47 degrees + 75 degrees = 122 degrees.

Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half

Answers

Answer:

Logan played for 22 minutes during the second half.

Step-by-step explanation:

Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:

Second Half Total - Time Played by Wilson = Time Played by Logan

40 - 18 = X

22 = X

Therefore, Logan played for 22 minutes during the second half.

Solve the system of equations.

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 3y = 5

3y = -x + 5

y = -1/3x + 5/3

-x + 6y = 4

-x + 6(-1/3x + 5/3) = 4

-x - 2x + 10 = 4

-3x = -6

x = 2

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1

Which description represents the equation 7x - 2 = 33?

1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.

Answers

i’m pretty sure it would be 1. two less than seven times a number equals thirty-three

Hi there!  

»»————- ★ ————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————- ★ ————-««  

Here’s why:  

We are given the equation of  [tex]\boxed{7x-2=33}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

what is the area of a triangle with base 18cm and height 4cm

Answers

Answer: The area of the triangle would be “36cm^2”

Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.

Have a nice day!

Answer:

Area=36

Step-by-step explanation:

18x4=72

72/2=36

I had 150 pencils at the start of the year. I now only have 120 pencils. What
is the percent of change in the number of pencils? *

* 20 % increase
* 25 % increase
* 20 % decrease
* 25 % decrease

Answers

20% decrease Z z. Z xx. X

write an equation in SLOPE- INTERCEPT FORM of the line that has the slope of -6 and a y- intercept of 2.
ANSWER THIS ASAP PLEASE!

Answers

Answer:

y=-6x=2

Step-by-step explanation:

y= mx+b

m=slope

b=y-intercept

Darcy sold lemonade in rhe summer. Lemonade is her favorite summertime drink. 1/2 of her recipe is fresh lemons . 1/3 of her recipe is sugar. The rest of the recipe is water. What fraction of the recipe is water

Answers

Answer:

1/6

Step-by-step explanation:

fraction of water = 1 - (1/2 + 1/3)

)[tex]\frac{1}{2} + \frac{1}{3}[/tex]

[tex]\frac{3 + 2}{6}[/tex]

5/6

1 - 5/6

6/6 - 5/6 = 1/6

In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?

Answers



x = number of questions

3y = points for a correct answer
-1x or -x = points for an incorrect answer

Adding up the correct and incorrect points/answers gives us the final score. We can solve to see how many questions were incorrect. (We are told 10 were correct)

3y + (-1x) = 20
3(10) + (-1x) = 20
30 - x = 20
10 = x
x = 10

So she got 10 correct and 10 incorrect, and there were 20 questions in all.

the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME

Answers

[tex]25,28,32,37,43,50,58,67.[/tex]

[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

I need the answer Immediately before it’s due!!!!!!!!

Answers

y = -1/2x - 1
——————-

HELP ASAP TEST IS ONLY 45 MINUTES
Solve the inequality. x – 3 < -2
a) x > 1
b) x < 1
c) x > 1
d) x < 1

Answers

Answer:

x<1 [the answer is positive, not negative btw]

I think you forgot to put the negative sign for two of the answer choices..

Step-by-step explanation:

answer is x<1

Step-by-step explanation:

x is less than 1

HELP!!! Due in 20 minuets

Answers

the one you have selected is right

Answer:

the one you have selected is right

Step-by-step explanation:

Which number is equivalent to 2^3x = 10

Answers

Answer:

5/4

Step-by-step explanation:

see steps below:)

HELPP..........anyone​

Answers

Answer:

(12, 12, 156) and (9, 9, 162)

Step-by-step explanation:

Since AB = AC and the triangle is isosceles:

∠ABC ≅ ∠ACB3x² - 2x + 4 = 9x - 63x² - 11x + 10 = 0x = (11 ± √(121 - 4*3*10)/6x = (11 ± 1) / 6x = 2, x = 10/6

The angles:

m∠B = m∠C = 9*2 - 6 = 12°m∠A = 180 - 2(12) = 156°

m∠B = m∠C = 9(10/6) - 6 = 9°m∠A = 180 - 2(9) = 162°

20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.

Answers

Answer: [tex]518.4\ cm^3[/tex]

Step-by-step explanation:

Given

The volume of the small block is [tex]300\ cm^3[/tex]

The ratio of the surface area of small to large block is [tex]25:36[/tex]

Suppose the length of the small and large box is a and b

[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]

Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?

Answers

Answer:

232

Step-by-step explanation:

i will give brainliest if you solve #11 please and thank you!!!

Answers

Answer:

[tex]A)~ 39.6[/tex] %

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

[tex]Total~ number~ of~ students:-[/tex]

[tex]42+58+20+84+41+5[/tex]

[tex]=250[/tex]

[tex]soccer=58+41[/tex]

[tex]=99[/tex]

[tex]99/250*100[/tex]

[tex]=0.39*100[/tex]

[tex]=39[/tex]

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

hope it helps...

have a great day!!

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