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Mode is the bailie that is listed the most.

There are 5 3’s which is the most of any of the values given.

Mode = 3

Hello!

The mode is the number that is seen most often in the given dataset.

Let's take a look at all the numbers:

1 is seen twice

2 is seen once

3 is seen 5 times

4 is seen 4 times

So 3 is the mode. Hope it helps. Please ask me if you have any questions.

~An excited gal

#CarryOnLearning

\(MagicalNature\) here to help

9514 1404 393

Answer:

  D. -31m^4n-8m^2

Step-by-step explanation:

Eliminate parentheses by distributing the minus sign. Then collect terms:

  (9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn

  = m^4n(-19 -12) +mn(9 -9) +m^2(-8)

  = -31m^4n -8m^2 . . . . . matches choice D

Answer:

8

Step-by-step explanation:

put in '2' where 'x' is

2 (2^2) + 3 ( 2) - 6 = 8

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

its b. (3,3) and (3,-2)

Step-by-step explanation:

you just look at where the dots are and just put a dot on the other side

The domain of the function graphed in this problem is given as follows:

a) [-3,0].

The values of x from the graph are given as follows:

Hence the domain of the function is given as follows:

[-3, 0].

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The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer:

2x^2  y^3

Step-by-step explanation:

so its 2x then squared by 2 then y and squared by 3 all together making 2x^2y^3

Answer:

M is the slope of the equation and basically the constant rate of change. So when there are two given points, the slope of the line between them will equal m.

B is the y-intercept. The "starting point" on the y-axis.

Y is the dependant variable and the unknown that the equation solves for.

X is the independant variable, the input.

To plot an equation, plug in random x values which solves for y. After plotting 2 or more points, you can simply connect them with a line. If it's not a straight line, some of your points are wrong.

Answer:

y=equation for a straight line

m=slope

x=x-value (whatever you choose)

b= y-intercept (the point where the line meets the y-line)

Answer:

this one i dont know but ill try

a or 1 2744 cubed

Step-by-step explanation:

Given:

Base area = 196π cm²

Height of cylinder = diameter of base

To find:

Volume of cylinder

Steps:

First lets find the radius of cylinder,

Base area = πr²

        196π = πr²

          196 = r²                    (pi gets canceled)

            14 = r

Radius of cylinder is 14 cm

So, diameter of cylinder is 28 cm             (d= 2r = 2 * 14 = 28)

Therefore height of cylinder is 28 cm

Now lets find the volume of cylinder,

Volume of cylinder = Base area × height

= 196π × 28

= 5488π

= 5488 × π

= 17,241.1 cm cube

Therefore the volume of the cylinder is 17,241.1 cm³

Happy to help :)

If u didn't understand any topic, pls feel free to ask

Answer:

-2.5°F

Step-by-step explanation:

-12 - 48 = -60

-60/24 = -2.5°F

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The product 5n consists of two factors 5 and n so this contains a factor of n thus option (D) will be correct.

An algebraic factor is the multiplication of two algebraic terms.

The root of the quadratic equation formed by the algebraic factor is always real.

Let's consider a multiplication,

3 × 4 = 12

Now taking common from 12 → 3(4) or 4(3) so here 3 and 4 both are factors.

Therefore the terms which are multiplying are always a factor of resultant.

Thus in 5n, 5 and n both are factors.

Hence "The product 5n consists of two factors 5 and n so this contains a factor of n".

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Answer:

Pretty sure it's 0.528

Answer:

Dear Friend

the answer is 6

Step-by-step explanation:

Just see the highest possible degree x in each term being multiplied and add the degree

that is

x has a degree 1

(x-1)² has a highest possible x degree as 2

for (x+5)³ it is 3

1+2+3=6

Answer:

Step-by-step explanation:

To simplify the expression, we can use the distributive property to expand each of the terms:

(x-7) (x+1) - (x+8) (x-7)

= x(x+1) - 7(x+1) - x(x-7) + 8(x-7)

Then, we can simplify the expression by combining like terms:

= x^2 + x - 7x - 7 + x^2 - 7x + 8x - 56

= 2x^2 - 14x + 49

So the simplified expression is 2x^2 - 14x + 49.

I hope this helps! Let me know if you have any questions.

Answer:

–7x + 49

Step-by-step explanation:

( x – 7 )( x + 1 ) — ( x + 8 )( x – 7 )

by expanding each bracket

x(x+1) –7(x+1) — (x(x–7) +8(x–7))

= x² + x –7x –7 —( x² –7x + 8x – 56)

by using (–) to simplify the other brackets

= x² –6x – 7 – x² + 7x – 8x + 56

Then collecting like terms

= x² – x² –6x + 7x – 8x – 7 + 56

= x – 8x + 49

= –7x + 49

i hope this helps

Answer: 50,000

Step-by-step explanation:

Answer: Find the number in the thousand place

2

and look one place to the right for the rounding digit

7

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

53000

Step-by-step explanation:

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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Answer:

10 10/11

Step-by-step explanation:

Answer:

10 10/11

Step-by-step explanation:

3 3/4 × 2 10/11

15/4 * 32/11

480/44

120/11

10 10/11

The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

\(z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\)

, where p= population proportion

n= sample size

\(\hat{p}\) = sample proportion

AS per given,

p=0.94, n= 1004, \(\hat{p}=0.86\)

\(z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67\)

i.e. the value of test statistic = -10.67

Answer:

\( \frac{a}{b} = 1.5 \)

Step-by-step explanation:

Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.

This means: \( \frac{2.1}{a} = \frac{1.4}{b} \).

Since this equation is true, rewrite so that you have \( \frac{a}{b} \)

\( \frac{2.1}{a} = \frac{1.4}{b} \)

Cross multiply

\( a*1.4 = b*2.1 \)

Divide both sides by 1.4

\( a = \frac{b*2.1}{1.4} \)

Divide both sides by b

\( \frac{a}{b} = \frac{2.1}{1.4} \)

\( \frac{a}{b} = 1.5 \)

The value of \(\dfrac{a}{b}\) is \(1.5\).

Given:

Two triangles in the given figure are similar.

To find:

The value of \(\dfrac{a}{b}\).

Explanation:

The corresponding sides of two similar triangles are proportional.

\(\dfrac{a}{2.1}=\dfrac{b}{1.4}\)

It can be rewritten as:

\(\dfrac{a}{b}=\dfrac{2.1}{1.4}\)

\(\dfrac{a}{b}=1.5\)

Therefore, the value of \(\dfrac{a}{b}\) is \(1.5\).

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Answer:

(x^3+2x-1) * (x^4-x^3+3)

Step-by-step explanation:

To simplify this expression, we can multiply each term in the first expression by each term in the second expression and combine like terms:

(x^3)(x^4) + (x^3)(-x^3) + (x^3)(3) + (2x)(x^4) + (2x)(-x^3) + (2x)(3) + (-1)(x^4) + (-1)(-x^3) + (-1)*(3)

Simplifying further:

x^7 - x^6 + 3x^3 + 2x^5 - 2x^4 + 6x - x^4 + x^3 - 3

Combining like terms:

x^7 - x^6 + 2x^5 - 3x^4 + 4x^3 + 6x - 3

Therefore, the expression representing the product of (x^3+2x-1) and (x^4-x^3+3) is x^7 - x^6 + 2x^5 - 3x^4 + 4x^3 + 6x - 3.

Answer:

The salesperson's commission for this month is $3,803

Step-by-step explanation:

Percentages

Let's call x to the sales volume, not including commission.

The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x

We are given this total invoice, thus:

1.0825x = $49,900

Dividing by 1.0825:

x = $46,097

The salesperson's commission is

0.0825*$46,097=$3,803

The salesperson's commission for this month is $3,803

Answer:

y = 3x + 12

Step-by-step explanation:

y = mx + b  
The m is the slope and the b is the y intercept.

Slope:

Change in y over the change in x.  The ordered pair is written in the form (x,y)

\(\frac{12-3}{8-5}\) = \(\frac{9}{3}\) = 3

The slope is 3.

Use the slope of the 3 and the x and y from one of the ordered pairs given.  I am going to use the point (5,3), but either point will work

slope 3

x = 5

y=3  Plug these all in and solve for b

y = mx + b

3 = (3)5 + b

3 = 15 + b  Subtract 15 from both sides

-12 = b

This is the y intercept

y = 3x - 12

Answer:

Slope-intercept form,

→ y = 3x - 12

Step-by-step explanation:

Formula we use,

→ y = mx + b

The value of slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (12 - 3)/(8 - 5)

→ m = 9/3

→ [ m = 3 ]

Then the value of b will be,

→ y = mx + b

→ 12 = (3)8 + b

→ b + 24 = 12

→ b = 12 - 24

→ [ b = -12 ]

Now the slope-intercept form is,

→ y = mx + b

→ [ y = 3x - 12 ]

Hence, the answer is y = 3x - 12.

Answer: 1st and 4th

Step-by-step explanation:

Answer: The answers are the first and fourth one.

Step-by-step explanation: Because of the rules of linear measures

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

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