Ask question

Ask question

All categories

3 years ago

8

Alex recently bought some new video games for the following prices: 24.00,36.00,50.00,44.00 If the sales tax is 8% , find the me

an, median, mode & range for the total cost of the video games.
Help please

1 answer:

Svetradugi [14.3K]3 years ago

4 0

Mean is 112.32 median is 38.88 there is no mode the range 21.60

You might be interested in

4 bottles of water containing 750ml each how many litres in total I drank

Sergeu [11.5K]

4*750=3000ml
3000ml=3l
Answer is : 3l

4 0

3 years ago

Read 2 more answers

Which of the equations will be a true statement if p=10 power of 3? Select all that apply.

Marat540 [252]

Answer:

A. 3.4 divided by p equals 0.034

B. 437 divided by p equals 0.437

C. 53.45 divided by p equals 53.45

D. 6,340 divided by p equals 6.34

E. 2,458.2 divided by p equals 24.582

Which of the equations will be a true statement if p=10 power of 3? Select all that apply.

The answer is A D and E

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Part 4: Identify the vertex, focus and directrix of each. Then sketch the graph.

Nezavi [6.7K]

Answer: 1) Vertex: (6, -2) Focus: (6, -7/4) Directrix: y = -9/4

2) Vertex: (-2, -1) Focus: (-7/4, -1) Directrix: x = -9/4

<u>Step-by-step explanation:</u>

Rewrite the equation in vertex format y = a(x - h)² + k or x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.

(h, k) is the vertex
p is the distance from the vertex to the focus
-p is the distance from the vertex to the directrix

$\bullet\quad a=\dfrac{1}{4p}$

1) y = x² - 12x + 34

$y-34=x^2-12x\\\\y-34+\bigg(\dfrac{-12}{2}\bigg)^2=x^2-12x+\bigg(\dfrac{-12}{2}\bigg)^2\\\\\\y-34+36=(x-6)^2\\\\y+2=(x-6)^2\\\\y=(x-6)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(6,-2)\\$

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(6,-\dfrac{7}{4}\bigg)\\\\\\\text{Directrix: y= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad y=-\dfrac{9}{4}$

*******************************************************************************************

2) x = y² + 2y - 1

$x+1=y^2+2y\\\\x+1+\bigg(\dfrac{2}{2}\bigg)^2=y^2+2y+\bigg(\dfrac{2}{2}\bigg)^2\\\\\\x+1+1=(y+1)^2\\\\x+2=(y+1)^2\\\\x=(y+1)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(-2,-1)\\$

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(-\dfrac{7}{4},-1\bigg)\\\\\\\text{Directrix: x= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=-\dfrac{9}{4}$

4 0

3 years ago

Melanie's room measures 10 ft by 12 ft. Her rug covers 90 ft². Explain how to determine the percent of floor covered by the rug.

Inessa [10]

$\huge \bf༆ Answer ༄$

Here's the solution ~

Area of floor is ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:10 \times 12$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:120 \: ft {}^{2}$

Area covered by rug is ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:90 \: ft {}^{2}$

So, the percentage of floor covered by rug is ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{90}{120} \times 100$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{3}{4} \times 100$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:3 \times 25$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:75 \%$

5 0

2 years ago

Read 2 more answers

Someone please help me with this! Is this a independent or dependent? Explain why.

irga5000 [103]

Answer:

independent

Step-by-step explanation:

Dependent equations graph as the <em>same line</em>. These lines are not the same, so the equations are independent.

___

However, the lines are parallel, so the equations are also <em>inconsistent</em>. There is <em>no solution</em> to this system of equations.

6 0

3 years ago