Lauren has a bucket of sidewalk chalk. In the bucket there are 2 green, 8 red, 2 yellow, 4 blue and 4 pieces of white chalk. If she randomly pulls out 6 pieces of chalk, in how many ways can she pull out exactly 2 red chalks and 1 white chalk

Answers

Answer 1

Answer:

32 ways

Step-by-step explanation:

Since there are 8 red chalks and 4 white chalks.

Then number of ways to select exactly 2 red chalks is; 8C2 = 28 ways

Number of ways to select exactly 1 white chalk is; 4C1 = 4 ways

Total number of ways = 28 + 4 = 32 ways


Related Questions

a man cycles at the rate of 20km/h for 21/5 hours what distance will he cover​

Answers

Answer:

16.67 km

Step-by-step explanation:

:)

Pls help fast need answers ASAP

Answers

Answer:

1. (you could have used your calculator too ...)

625

46225

11.56

1.5625

0.3364

2. a, b, c, d are not prefect squares

3. a and c squares will end with a "1" in the units place.

4. b and c squares will end with a "6" in the units place.

5. a. 17

b. 161

6. 25

7. a. 144 + 145

b. 264 + 265

c. 480 + 481

d. 1012 + 1013

8. a, d, e

9. a. d

Step-by-step explanation:

1. is just plain calculator work

2. a. no perfect square

Property 1: A number having 2, 3, 7 or 8 at unit’s place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8.

2. b. no perfect square

Property 2: The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.

2. c. no perfect square

the same as 2.b.

2. d. no perfect square

the same as 2.a.

2. e. is a perfect square (of 250)

3.

Property 6: The unit’s digit of the square of a natural number is the unit’s digit of the square of the digit at unit’s place of the given natural number.

for 81² : as 1²=1, therefore 81² will also end with a 1.

for 119² : as 9²=81 ends with 1, 119² will also end with a 1.

all others do not meet that criteria.

4.

again Property 6.

44² : 4²=16, therefore 44² will also end with a 6.

126² : 6² = 36, therefore 126² will also end with a 6.

5.

given a number n and its following number n+1, the difference between their squares is

(n+1)² - n² = n² + 2n + 1 - n² = 2n + 1

there cannot be any perfect square number in between n² and (n+1)², as the base number would have to be between n and n+1 (which is impossible).

a. 2×8 + 1 = 17

b. 2×80 + 1 = 161

6. as 5.

2×12 + 1 = 25

7.a.

n + n + 1 = 17²

2n + 1 = 17²

n = (17² - 1)/2 = 144

n+1 = 145

b.

2n + 1 = 23²

n = (23² - 1)/2 = 264

n+1 = 265

c.

n = (31² - 1)/2 = 480

n+1 = 481

d.

n = (45² - 1)/2 = 1012

n+1 = 1013

8.

Property 3: Squares of even numbers are always even numbers and square of odd numbers are always odd.

therefore, only 256, 1296 and 144 can be squares of even numbers.

9.

again Property 3.

therefore, only 529 and 361 can be squares of odd numbers.

i need help asap!!!!!!!! thanks

Answers

Answer:

A.

C.

Step-by-step explanation:

range of a function is the number interval of the y (function) values.

the domain is the number interval of the x (input) values.

A.

this function has only one constant functional value : -5

so the range is the set with only that one value.

B. no, the line goes across all possible values of x.

it is therefore not limited to a single value.

C. see B. therefore, true.

D. see A. no, only one value.

E. is simply a wrong statement. it would not be a function, if there is an x that has more than one y value. but that is not the case here. every x value has exactly one y value. they are all the same, but that does not matter.

Help please I need 6 and 8

Answers

It’s is A thank me later!

What is the area of the right triangle below? A. 96 sq. units
B. 11 sq. units
C. 22 sq. units
D. 48 sq. units​

Answers

Answer:

D. 48 sq. units​

Step-by-step explanation:

Area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 16) *6

A = 48

what is the measure of 3?

Answers

Answer:

∠ 3 = 60°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

4x + 36 + 3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Then

∠ 2 = 3x - 3 = 3(21) - 3 = 63 - 3 = 60°

∠ 2 and ∠ 3 are alternate angles and are congruent, so

∠ 3 = 60°

Answer:

60°

3(21)- 3 = 60

Step-by-step explanation:

4x+36 + 3x-3 = 180

x = 21

Can someone help me with this math homework please!

Answers

f(2)= f(1+1) ,where n= 1

=-6

= -2×3

= -2f(1)

f(n+1 )= -2f(n)

OPTION C is the correct answer

Answer:

option 3 is the answer.

Step-by-step explanation:

3, - 6, 12, - 24, 48, .....

Here,

f ( 1 ) = 3

f ( 2 ) = - 6

f ( n + 1 ) = - 3 f ( n )

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

f ( 2 ) = - 3 x 3

f ( 2 ) = - 9

This recursive formula is not correct.

f ( n + 1 ) = - 2 f ( n )

f ( 1 + 1 ) = - 2 f ( 1 )

f ( 2 ) = - 2 ( 3 )

f ( 2 ) = - 6

This recursive formula is correct.

x-2y=-4
3x+y=9

solve the simultaneous equation (find x & y)

Answers

I used substitution method! hope this helps! feel free to clarify

A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism

Answers

Answer:

Height = 12in

Surface area = 320in²

Step-by-step explanation:

Given

Length of the square base = 8in

Volume of the prism = 768 cubic inches

Using the formula;

Volume of the prism = Base area * Height of prism

768 = 8² * H

768 = 64H

H = 768/64

H = 12in

Hence the height of the prism is 12in

Get the surface area

Surface area = 2l² + 2lh

Surface area = 2(8)² + 2 (8)(12)

Surface area = 128  + 192

Surface area = 320in²

Hence the Surface area of the prism is 320in²

A simple random sample is drawn from a normally distributed population. The value of which of the following will not
known for certain but can be inferred?
o u
o-x
os
on

Answers

Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support . What's the best way to get to a consensus ? O a) Everyone on the team talks until the entire team agrees on one decision. Ob ) Everyone on the team discusses options and then votes. Oc ) The team passes the decision - making responsibility to an outside person. d ) The team leader makes a decision without input from the other members .

suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?

Answers

10/18 is equal to 0.55
Change to percentages and it will be 55 percent

In the diagram below, AB is parallel to ¿o. What is the value of x?

Answers

Answer:

45

Step-by-step explanation:

corresponding angles

Cho Hình chóp S.ABC Có đáy là tam giac đều cạch a. SA vuông góc với đáy, SA=a . Tính góc giữa SB và mặt phẳng đáy

Answers

Answer:

45 độ

Step-by-step explanation:

SA vuông góc (ABC) => góc SAB = 90 độ; góc giữa SB và mặt phẳng đáy = góc SBA

SA=AB=a => SAB là tam giác cân

KL: góc giữa SB và mặt phẳng đáy SBA = 45 độ

Find quotient (10c² + 49cd + 49d²) ÷ (5c + 7d)

plz answer correctly and with easy method.

Answers

(10c² +49cd+49d²) ÷ (5c+7d)

(5c+7d)(2c+7d) ÷ (5c+7d)

Delete (5c+7d)

= (2c+7d)

Find the value of HG in the image below

Answers

14 because SAS so the triangles are congruent so HG will be the same as FG

4×((-1+2-3+4-5+6-7...+1000)

Answers

-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000

= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)

= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)

= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)

= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)

Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to

= -(2S - 500) + 2S

= -2S + 500 + 2S

= 500

and multiplying by 4 gives 2000.

Answer:

[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]

[tex]calculate\: within \: the \:parentheses[/tex]

[tex]-1+2=1[/tex]

[tex]=1-3+4-5+6-7+1000[/tex]

[tex]1-3=-2[/tex]

[tex]=-2+4-5+6-7+1000[/tex]

[tex]-2+4=2[/tex]

[tex]=-3+6-7+1000[/tex]

[tex]3-7+1000[/tex]

[tex]=-4+1000[/tex]

[tex]=996[/tex]

[tex]Multiply:-[/tex]

[tex]4\times996[/tex]

[tex]=3984[/tex]

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

Hope it helps..

Have a great day!!

Find the sum of 5x+y and (2xy + xy).

Answers

Answer:

6x^2y+2xy^2

Step-by-step explanation:

5x^2y + (2xy^2 + x^2y).

Combine like terms

6x^2y+2xy^2

[tex]\displaystyle\ \Large \boldsymbol 5\underline{x^2y}+2xy^2+\underline{x^2y}=5x^2y+x^2y+2xy^2=\boxed{6x^2y+2xy^2}[/tex]

Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.

Answers

Answer is 458, 6,245-5,787= 458

the graph of a linear function is given below

Answers

Answer:

A

Step-by-step explanation:

The zero of the function is where the y-value is zero.

then it's -5

Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of Z3?
1/2
4/3
5/6 = 75°
7 8

Answers

Answer:

105

Step-by-step explanation:

angle 6 and 2 are equal

angle 2 lies on a 180 line with angle 3

180-angle 2 =angle 3

180-75=105

1/6 of the age of a mother is the age of her daughter. If the difference of their ages is 35 years, find the age of the mother.

Answers

Answer:

24 6

Step-by-step explanation:

""6_6_6&6&6&6__5ddyfouoyfkykyky

Evaluate 16x if x = - 3.

Answers

Answer:

16×-3

-48

I hope it's helps you

Answer:

-48

Step-by-step explanation:

16(-3) = -48

india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.

pls help​

Answers

Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added

Step-by-step explanation:

Which of the graphs represent y=-x^2

Answers

Answer:

Step-by-step explanation:

Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.

Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18

Answers

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

What is the value of the first term in the following arithmetic sequence?

-9, -2, 5, 12, ...

-9
7
9
-7

Answers

Answer:

-9

Step-by-step explanation:

the first number

hope it is well understood

Help asap

Whoever helps me I will pay you up thanks :)

Answers

Answer:

6.

2

1

3

10.9 to 1 place

7

a.) 36

b.)3

c.)65

d.)13

Step-by-step explanation:

Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.

Answers

9514 1404 393

Answer:

  ₹1442

Step-by-step explanation:

The new price will be 1+3% = 1.03 times the old price.

  ₹1400 × 1.03 = ₹1442

Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.

Answers

19
Bau wua ua uatw. Stya ja

Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)

What is the smallest the average of those ten integers could be?

Explain your answer in complete sentences.

Answers

Answer:

8.4

Step-by-step explanation:

Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:

1, 2, 3, 4

However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:

9, 11

From there, we use the smallest integers (that are still above 11) possible:

12, 13, 14, 15

The average of these 10 integers is 84/10, or 8.4.

The median is still 10, because (9+11)/2 is 10.

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

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