Which is the mode for the data set?
-1, 0, 3, 4, 3, 1

-0.5
0.3
2
-1​

Answer:

Step-by-step explanation:

Given  the following angles ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21, the expression is true about the angles;

∠AOC = ∠BOC+∠AOB

Substituting the given values into the expression, we will have;

21 = x+3+4x-7

collect the like terms

21 = x+4x+3-7

21 = 5x-4

Add 4 to both sides

21+4 = 5x-4+4

25 = 5x

Divide both sides by 5

5x/5 = 25/5

x = 5

Hence the value of x is 5

Answer:

Suku yang ke Kelima adalah 56

Kerana anda hanya perlu tambah sepuluh sahaja seperti:

Suku pertama:16

Suku kedua:26

Suku ketiga:36

Suku keempat:46

Suku kelima:56

Harap jawapan tersebut adalah betul and Mark me as BRAINLIEST if the answer is right ✨

Answer:

[r/(w + r)]^4

Step-by-step explanation:

The numbers of the different balls are not given, but here is the solution.

Let w = number of white balls.

Let r = number of red balls.

The total number of balls is w + r.

All drawings have the same probability since there is replacement.

Each drawing has the following probability of drawing a red ball:

p(red) = r/(w + r)

Since there are 4 drawings, and they are all independent events, the overall probability is the product of the individual probabilities.

p(4 red balls in 4 drawings) = [r/(w + r)]^4

To find an actual number, replace w and r with the correct numbers and evaluate the expression.

Answer:

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be [tex]x[/tex].

As per the given statement:

Square of the number ([tex]x^{2}[/tex]) is 84 more than five times of the number ([tex]5x+84[/tex]).

Writing in the equation form:

[tex]x^{2} =5x+84[/tex]

To find:

All the numbers for which above equation holds true.

Solution:

[tex]x^{2} =5x+84[/tex]

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of [tex]x[/tex] is 2) so it will have 2 solutions  i.e. 2 values of [tex]x[/tex] for which the above equation will hold true.

[tex]x^{2} -5x-84=0[/tex]

Let us factorize the equation.

[tex]\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }[/tex]

So, the numbers for which the given property hold true are 12 and -7.

Answer:

20.1

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, distribute 7 to all terms within the parenthesis:

7(3 - x) = (7 * 3) + (7 * -x) = 21 + -7x = 21 - 7x

3x + 2 = 21 - 7x

Isolate the variable, x. Subtract 2 and add 7x to both sides:

3x (+7x) + 2 (-2) = 21 (-2) - 7x (+7x)

3x + 7x = 21 - 2

10x = 19

Divide 10 from both sides:

(10x)/10 = (19)/10

x = 19/10 = 1.9

Plug in 1.9 for x in the expression given:

26 - x - 4 = 26 - 1.9 - 4

26 - 1.9 = 24.1

24.1 - 4 = 20.1

20.1 is your value.

~

Answer:

The stated solution is correct (lengths of 16 feet and 8 feet).

Based on the way the variable is defined, the equation should be x + 2x = 24.

The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

Step-by-step explanation:

Answer: a, b & d !

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

See explanation in picture.

They receive 16000, 24000 and 32000 as per the ratios 2:3:4.

let x be a common factor,

Then,

2x+3x+4x =72000

sum them,

9x= 72000

x = 72000/9

=8000

Therefore, x= Rs. 8000.

2x= 8000×2 = Rs.16000

3x= 3×8000= Rs.24000

4x= 4×8000= Rs. 32000

You just need to put common factor on the ratios and then sum up them to get the value.

Hope it helps..

Answer:

80,543 employees total

Step-by-step explanation:

22.1% of total = 17,800 employees

0.221 of x = 17800

0.221 • x = 17800

x = 17800 / 0.221

x = 80542.98643

x ≈ 80543 employees total

Answers:

==================================================

Work Shown:

$4.05 = 405 cents

d = number of dimes

q = number of quarters

q = d+5 since she has 5 more quarters compared to dimes

10d = value in cents of all the dimes

25q = value in cents of all the quarters

10d+25q = total value in cents = 405

10d+25q = 405

10d+25(d+5) = 405

10d+25d+125 = 405

35d+125 = 405

35d = 405-125

35d = 280

d = 280/35

d = 8

She has 8 dimes

q = d+5 = 8+5 = 13

She also has 13 quarters

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

1 dime = 10 cents

8 dimes = 80 cents (multiply both sides by 80)

1 quarter = 25 cents

13 quarters = 325 cents (multiply both sides by 13)

8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents

This converts back to $4.05, which confirms our answers.

Answer:

1. Diego has to move 2 places back to be 25th .

2.a. Jade is right. She'll get 2 prizes .

2.b.The blueberry muffin and the carrot cake

Step-by-step explanation:

[Every fifth customer will get a free bagel.]`-------

This means that anyone on the line who is a multiple of 5 will get a free bagel. Example-  5th customer,10th customer, or the 15th customer and so on..

[Every ninth customer will get a free blueberry muffin]--------

This means that anyone on line who is a multiple of 9 will get a free blueberry muffin. Example- the 9th customer, 18th customer etc...

[Every 12th customer will get a free slice of carrot cake. ]----------

This means that anyone on line who is a multiple of 12 will get a free carrot cake. Example- the 12th customer, 24th customer, 36th customer etc...

THEREFORE, (ANSWERS TO THE QUESTION)

1. Yes, he is right  in order to get the prize. To get at least one prize, he should go two places behind and become the 25th customer {since he s a multiple of 5}.He will get a free bagel.

2.a. Yes, Jade will get a prize. She can get a free blueberry muffin and a free slice of carrot cake .

2.b. Yes, it is possible for Jade to win more than one prize because she is the 36th customer and 36 is a multiple of both 9 and 12

[tex]\\[/tex]

Answer:

n+7

Step-by-step explanation:

Sum means add, so it's just n added to 7:

n+7 :)

Answer:

n+7 is the answer or u can put it in parenthesis (n+7)

Step-by-step explanation:

Well look at the question.

It is asking you the total difference between the winners score to their opponents score in the contest.

Going by how the graph looks, approximately:

Javi's scores are 10, 20, 60, 20, and 15.

MeriAnne's scores are approximately 20, 30, 40, 20, and 10.

Add all those numbers up individually for each contestant.

Javi has a total score of 125.

Meri has a total score of 120.

Subtract the total scores from each other, as so:

125 - 120 = 5.

Javi read 5 more pages than Meri.

Answer:

The answer is

Step-by-step explanation:

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

Divide both sides of the inequality by 2 inorder to find x

That's

We have the final answer as

Hope this helps you

Answer:

p(m) = 2m² - 4m +3

p(-2) = 2(-2)² - 4(-2) + 3

= 2 × 4 - 4 × (-2) + 3

= 8 + 8 + 3

= 16 + 3

= 19

The value of p(-2) of function p(m) = 2m² - 4m +3 is 19.​

The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that  value of x determines what value of  y  will be. This relationship can be expressed as follows: y = f (x)

The quadratic expression is defined as an expression containing the highest power of a variable is two.

For the function p defined by p(m) given as :

p(m) = 2m² - 4m +3,

To determine the value of p(-2).​

p(m) = 2m² - 4m +3,

Substitute the value of m = -2 in the function,

p(-2) = 2(-2)² - 4(-2) +3,

p(-2) = 2(4) + 8 +3,

p(-2) = 8 + 11

p(-2) = 19

Hence, the value of p(-2) is 19.​

Learn more about function here :

brainly.com/question/12431044

#SPJ5

Answer:57639962993

Step-by-step explanation:398745399883

Answer:

PIC 1: Option 2. this relation is a function

PIC 2. Option 1. this relation is not a function

Step-by-step explanation:

To be a function, the domain (x value) can only have one range (y value). But one range can have multiple domain

PIC 1

Function {(-2, -4) (-1, -4) (3, -4) (6, -4)}

This relation is a function

EXPLANATION: each domain only have one range

PIC 2

Function {(-4, -2) (-4, -1) (-4, 3) (-4, 6)}

This relation is not a function

EXPLANATION: each domain has multiple range.

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Since every person is expected to drink one can of soda:

Let the price of each can of soda = p

and the total number of people present at the picnic = n

∵ Total price = p(the price of each soda can) * n(number of people)

Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.

Answer:

LCM=1078

Step-by-step explanation:

49=7×7

154=7×11×2

LCM=7×7×11×2

=1078

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{1078}}}}}[/tex]

Step-by-step explanation:

The L.C.M of any numbers can be obtained by using two methods and they are :

I am going to find the L.C.M of 154 and 49 by using these two methods :

1. Prime factorization method:

[tex] \sf{154 \: and \: 49}[/tex]

First of all , find the prime factors of each numbers.

[tex] \sf{154 =2 \times 7 \times 11}[/tex]

[tex] \sf{49 \: = \: 7 \times 7}[/tex]

Take out common prime factor i.e 7

Thenafter, also take out the other remaining prime factors : 2 , 11 and 7

L.C.M = Common factors × Remaining factors

= 7 × 2 × 11 × 7

= 1078

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

Next method :

2. Division method

[tex] \sf{154 \: and \: 49}[/tex]

Steps :

⇒ Arranging the given numbers in horizontal position.

⇒Thus, arranged numbers should be divided by a prime number. During this process that prime numbers should divide any two or more given numbers.

⇒Repeat the process till you get prime number as quotient for each number.

⇒The product of all prime factors and last quotients is L.C.M

( see attached picture )

Hope I helped!

Best regards!!

Answer:

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

Step-by-step explanation:

All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.

To show how,

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

Answer:

s < 50

Step-by-step explanation:

s must be less than 50

s < 50

Answer:

the answer is 516

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation: it might be wrong btw, but i think its right. the question isnt worded very well

Answer:

See below.

Step-by-step explanation:

The perimeter of a rectangle is simply the distance around the rectangle. The distance will be its two lengths plus the two widths. In other words:

[tex]P=2l+2w[/tex]

We want to solve for l. Therefore:

[tex]P=2l+2w\\2l+2w=P\\2l=P-2w\\l=(P-2w)/2[/tex]

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

Answer:

Step-by-step explanation:

[tex] ({64 {x}^{3} })^{ \frac{1}{3} } [/tex]

To solve the expression convert 64 to exponential form

That's

64 = 4³

So we have

[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } [/tex]

Using the rules of indices

That's

[tex]( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z} [/tex]

So for the above expression we have

[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} } [/tex]

Simplify the expression

We have the final answer as

Hope this helps you

To get the perimeter, you add up all the outer sides

side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy

The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.

Answer:

{x | x = -5, -3, 1, 2, 6}

Step-by-step explanation:

In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.

In the mapping of the function above, all input values make up the domain of the function.

Thus, the domain is:

{x | x = -5, -3, 1, 2, 6}

Answer:

5[tex]x^{2}[/tex] = 344.45

[tex]x^{2}[/tex] = 68.89

x = ± [tex]\sqrt{68.89}[/tex]

x = 8.3, −8.3

Answer:

Its 11

Step-by-step explanation:

put 2 ones together and u get 11

-Big Brain Moment-

IT TOOK SO LONG FOR ME TO GET THE ANSWER TO THIS QUESTION

Answer:

1)3x+3

2)x+1

Step-by-step explanation:

1)consecutive integer = x and x+1 and x+2

x+x+1+x+2= 3x+3

2)average= total sum/number of numbers involved.

average = 3x+3

3

= x+1