The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3,26
What is the range of the numbers of employees in these departments?
23
51
O
26
18

Answer:

The 1st step in evaluating the expression is doing the equation in the paranthesis. PEMDAS states we do the paranthesis 1st.

Answer:

skewed to the left

Step-by-step explanation:

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.

If the mean is greater than the median, the histogram would be skewed to the right

If the mean is less than the median, the histogram would be skewed to the left.

The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left

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

Explanation:

We won't involve the g(x) function at all.

We're composing the f(x) function with itself, which means we're replacing every x with f(x) and then simplifying.

See the attached image below for the steps.

Answer:

28:12

Step-by-step explanation:

You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4

Answer:

The triangles shown are proportional

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

Answer:

115.552 or 116 inches

Step-by-step explanation:

circumference of a circle formula which is C= 2piR. Where C is circumference and R is radius. So you get C=2(3.14×18.4)

Answer:

See below

Step-by-step explanation:

Center:   (-3, 4)

radius = r = [tex]\sqrt{25}[/tex] = 5

diameter = 2r = 10

Answer:

Center= (3,-4)   Radius=5   Diameter=10

Step-by-step explanation:

The numbers (3,-4) are the coordinates in the center of a circle. The radius is squared to get the end number so to get the radius, you have to find its square root- [tex]\sqrt{25[/tex] =5. The diameter is 2 times bigger than the radius so 5 times 2= 10.

Answer:

1. 1/2

2. .5

3. 50%

Step-by-step explanation:

2 of the types of cards out of 4 is 2/4 which is half

Answer:

1/2 or unsimplified: 26/52

.5

50%

Step-by-step explanation:

half of the cards are a diamond or club so the probability is one out of 2 which is one half

1/2 equals .5

then a 50% chance because 50% is half of 100%

Answer:

The formula for circumfernce is C=pixd D is diameter

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

Answer:

2.44%

Step-by-step explanation:

[tex]\frac{22}{900} *100%[/tex]= 2.44%

Answer:

The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.

Remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

where pi = 3.14

Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:

V = (4/3)*pi*( R^3 - r^3)

In this case, we have:

R = 200m

r = 100m

Then the volume of the hollow ball is:

V = (4/3)*3.14*( (200m)^3 - (100m)^3)

V = 29,306,666.67 m^3

Now, if this hollow ball is made of iron, we want to find the mass.

Remember the relation:

Mass = Density*Volume.

We know that the density of the iron is:

D = 7300 kg/m^3

Then the mass of this hollow ball is:

M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg

Answer:3

Step-by-step explanation:

Nor except

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Hope it helps

-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Step-by-step explanation:

put 6x-10 in y=x-4

so

y = (6x-10) - 4

y = 6x-14

Answer:

Median is 6

hope it helps u!!! have a great day ahead..

Answer:

6

Step-by-step explanation:

because a median means. the number located at the centre of of the Patten

Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

[tex]\boxed{c.\:x\:=\:-3}[/tex] ✅

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

[tex] \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢  \frac{ - 9 - 15}{2} = - 12 \\ ⇢  \frac{ - 24}{2} = - 12 \\ ⇢  - 12 = - 12 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

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

Answer:

x=28

Step-by-step explanation:

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]

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

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :

2x + 1 = 3x - 1

Add both sides 1

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

2x + 2 = 3x

Subtract both sides 2x

2x - 2x + 2 = 3x - 2x

x = 2

( This is the x-coordinate of intersection point )

_________________________________

Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :

y = 2x + 1

y = 2(2) + 1

y = 4 + 1

y = 5

_________________________________

Thus :

intersection point = ( 2 , 5 )

So the correct answer is option B .

Answer:

-2.5

Step-by-step explanation:

28 - f = 30.5

-f = 30.5-28

-f=2.5

f=-2.5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{28 - f =30.5}[/tex]

[tex]\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}[/tex]

[tex]\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{-f + 28 - 28 = 30.5 - 28}[/tex]

[tex]\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}[/tex]

[tex]\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}[/tex]

[tex]\mathsf{30.5-28=\bf 2.5}[/tex]

[tex]\rm{New\ EQUATION: -f = 2.5}[/tex]

[tex]\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }[/tex]

[tex]\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}[/tex]

[tex]\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}[/tex]

[tex]\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}[/tex]

[tex]\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

b=70 degree (by vertically opposite angle)

and c can be calculated as

b+c=180°

c=180°-b

c= 180°-70°

c= 110°

hence b=70° and c=110°

Answer:

80miles

Step-by-step explanation:

400=L

L[tex]\sqrt{400[/tex]

=20

to find p

4L

4(20=80

Answer:

y = 3/4x + 2

Step-by-step explanation:

By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.

(3/4 = 0.75 if decimal is needed)

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

Given:

A synthetic division problem.

To find:

The missing number it in the given synthetic division problem.

Solution:

The given synthetic division problem is:

[tex]3|\overline{3\quad -2\quad 2\quad 4}\\[/tex]

           [tex]\quad 6\quad 8\quad 20\\[/tex]

     [tex]\overline{3\quad 4\quad ?\quad 24}[/tex]

In synthetic division, we need to add first and second row to get the bottom row.

[tex]3+0=3[/tex]

[tex]-2+6=4[/tex]

[tex]4+20=24[/tex]

Similarly,

[tex]2+8=10[/tex]

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.