i need help please if you know the answer

I Need Help Please If You Know The Answer

Answers

Answer 1

Answer:

The mean is 19.

Step-by-step explanation:

To find the mean, you add up all of the numbers then divide by how many numbers there are. So you would do 3+8+10+11+14+17+22+24+25+35+40, then divide it by 9 since there are 9 numbers shown, which gets you to 19.

Answer 2
The mean of the data is 19

Related Questions

Which graph shows the point (-4, 0)?
A.
B.
C.
D.

Answers

Answer:

hey. pls post the graphs with the question so we may help you. you can add the pictures as an attachment.


In 42 - 15 = 27, the number 42 is called the
the number 15 is called the
and the number 27 is called

Answers

Answer:

The Answer to the Ultimate Question of Life, the Universe, and Everything is 42

Step-by-step explanation:

In this equation, the number 42 is called a minuend.

15 is a subtrahend because it is being subtracted from another number.

The number 27 would be called the difference.

Taylor is playing a video game. She eams 15 points when she completes Level 1. Each time she completes a level, she earns three
times as many points as the previous level.
How many points will Taylor earn when she completes Level 6?

Answers

i believe the answer is 4374 just keep multiplying your previous number starting from 15 by 3 until you get to level 6. hope this helped!

3645 points will Taylor earn when she completes Level 6.

What is a permutation?

Permutation is the arrangement of items in which order matters. In this situation order matters repetition allowed.

According to the question,

Taylor is playing a video game. She earns 15 points when she completes Level 1.

Each time she completes a level, she earns three times as many points as the previous level.

= 15 × [tex]3^{6-1}[/tex]

= 15 × [tex]3^{5}[/tex]

= 15 × 243

= 3645

Hence, 3645 points will Taylor earn when she completes Level 6.

Learn more about permutation here

https://brainly.com/question/11710155

#SPJ2

please help me this is due today!! it’s number 6


what is the length of AB

Answers

There are two ways to solve this problem
(I think the first one is easier to understand; but obviously it’s the way to prove solution 2)

Please quickly need this before 30 mimutes

Answers

Answer:

x = 4.48

Step-by-step explanation:

read the picture

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.03 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel. (a) What is the probability that there are no surface flaws in an auto's interior

Answers

Answer:

0.7408 = 74.08% probability that there are no surface flaws in an auto's interior.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of successes

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean of 0.03 flaws per square foot of plastic panel.

This means that [tex]\mu = 0.03n[/tex], in which n is the number of square feet.

Assume an automobile interior contains 10 square feet of plastic panel.

This means that [tex]n = 10[/tex], so [tex]\mu = 0.03(10) = 0.3[/tex]

What is the probability that there are no surface flaws in an auto's interior?

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = x) = \frac{e^{-0.3}*(0.3)^{0}}{(0)!} = 0.7408[/tex]

0.7408 = 74.08% probability that there are no surface flaws in an auto's interior.

what is the value of x to the nearest tenth

Answers

Answer:

tan90°=p/b

or,1/0=10/x

therefore x=0

What transformation of the parent function f(x) is made to get -2f(x)?

A. A reflection of the X axis and a vertical stretch by 2
B. Vertical vertical stretch by 2
C. A reflection on the y axis
D. A reflection in the x axis

Answers

Answer:

A.

Step-by-step explanation:

The negative gives a reflection in the x-axis.

The 2 is a vertical stretch factor 2.

A cereal box is 12 cm tall.the area of a base is 7cm square.what is the volume​

Answers

The volume = Base × height = 12× 7 = 84 Cm³

Answer:

84

Step-by-step explanation:

Zeus Computer Chips, Inc., used to have major contracts to produce the Centrino-type chips. The market has been declining during the past three years because of the quad-core chips, which it cannot produce, so Zeus has the unpleasant task of forecasting next year. The task is unpleasant because the firm has not been able to find replacement chips for its product lines. Here is demand over the past 12 quarters:
Two Years
Ago Last Year This Year
I 4800 I 3500 I 3,200
II 3500 II 2700 II 2100
III 4300 III 3500 III 2700
IV 3,000 IV 2,400 IV 1700
Use the decomposition technique to forecast demand for the next four quarters.

Answers

Answer:

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Step-by-step explanation:

Forecast demand in the next four quarters

intercept ( a ) = 3116.67 - (- 168.25 * 6.5 ) = 4210.29

Slope ( b ) = ( 219041.15 ) - ( 12 * 6.5 * 3,116.67 ) / 650 - ( 12 * ( 6.5)^2 )

                 = -24059.11 / 143 = -168.25

Forecast demand = a + bt = 4210.29 + 168.25t  

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Values calculated using data from table attached below ( table 2 )

Which is the best estimate of 2127

Answers

Answer:

20

Step-by-step explanation:

Have a nice day :)

please help! (listing BRAINLIST and giving points) ​:)​

Answers

Answer:

7 hrs

Step-by-step explanation:

$187 for 11 hrs

$119 for x hrs

write a proportion.

187/11 = 119/x since Reuben is making money at the same rate.

solve for x:

187x = 1309

x=7

7 hours

Answer:

7 hours

Step-by-step explanation:

Reuben works for 11 hours to earn $187

This means, his earnings rate is $187 per 11 hours of work

In 1 hour he would earn = 187/ 11 = $17

Therefore, he earns $17 in 1 hour

To find out how many hours he has to work to make $119, we multiply this by the rate.

He will earn $119 in = $119 x (1 hour/ $17) = 7 hours

Reuben has to work 7 hours to make $119

please ! solve the following equation algebraically: 2x²=50

Answers

2x^2 = 50

Divide both sides by 2.

X^2 = 25

Take the square root of both sides.

x = +/- 5

C is your final answer.

Answer:

5,-5

Step-by-step explanation:

what are the domain and range of this function

Answers

Answer: domain: ARN

Range: y less than or equal to 0

Step-by-step explanation:

The arrows indicate that the lines continue forever, so the domain is all real numbers.

The lines only travel under the x-axis, so the range is y less than or equal to zero.

Find the value of X and Y

Answers

Answer:

y=60 degrees ; x=120 degrees.

Step-by-step explanation:

All triangles' angles must add up to 180 degrees. An equilateral triangle has 3 equal sides and degrees. If it gives the angle of one all the other angles are the same. For x you see the parallel line below it with the line to the left going through with the same angle as the one below. The angles are the same and if it is labeled in one then it is the same in the other.

Hazel McCurry offered $149,400 for a home that had been priced at $439,500. The seller agreed to the offer. If she made a $44,000 down payment , what is the mortgage loan amount ?

Answers

149,400-44,000
=$105,400

-3 to the 3rd power + 2

Answers

Answer:-7

Step-by-step explanation: -3^3+ 2

-9+2= -7

I got -25 with the 3^3 in parenthesis and without them.

The Pitts Barbecue Company makes three kinds of barbecue sauce: Extra Hot, Hot, and Mild. Pitts’ vice president of marketing estimates that the company can sell 8,000 cases of its Extra Hot sauce plus 10 extra cases for every dollar it spends promoting this sauce; 10,000 cases of Hot sauce plus 8 extra cases for every dollar spent promoting this sauce; and 12,000 cases of its Mild sauce plus 5 extra cases for every dollar spent promoting this sauce. Although each barbecue sauce sells for $10 per case, the cost of producing the different types of sauce varies. It costs the company $6 to produce a case of Extra Hot sauce, $5.50 to produce a case of Hot sauce, and $5.25 to produce a case of Mild sauce. The president of the company wants to make sure the company manufactures at least the minimum amounts of each sauce that the marketing vice president thinks the company can sell. A budget of $25,000 total has been approved for promoting these items of which at least $5,000 must be spent advertising each item. How many cases of each type of sauce should be made, and how do you suggest that the company allocate the promotional budget to maximize profits?

a. Formulate an LP model for this problem.
b. Create a spreadsheet model for this problem, and solve it using Solver.
c. What is the optimal solution?

Answers

Answer:

Case of Extra hot sauce     8000 cases

Case of Hot Sauce            10000 cases

Case of Mild Sauce           12000  + 2000 =  14000

z´(max) =  143500 $

Step-by-step explanation:

Profit of each product:

                                                     sale price $     cost  $       Profit $

Case of Extra hot sauce                       10                6                  4

Case of Hot Sauce                                10                5.5               4.5

Case of Mild Sauce                               10                5.25             4.75

The President of the company already orders the minimum of each case of sauce  as follows:

Case of Extra hot sauce  8000

Case of Hot Sauce          10000

Case of Mild Sauce        12000

Let´s call

x₁ quantity of cases of Case of Extra hot sauce  over 8000 cases

x₂ quantity of cases of Case of hot sauce  over 10000 cases

x₃ quantity of cases of Case of mild sauce  over 12000 cases

Then Objective function will be:

z  =  4*x₁  +  4.5*x₂  + 4.75*x₃    to maximize

Promoting budget constraint:

each dollar investing in promoting x₁   will become  10*x₁  ( cases)

each dollar investing in promoting x₂   will become   8*x₂(cases )

each  dollar investing in promoting x₃   will become  5*x₃ ( cases)

Total investment in promotion is 10000 $ again here we need by sure to invest 5000 $ in promotion for each type of sauce, leaving only extra 10000 $, then:

Constraint due to promotional budge:

10*x₁  +  8*x₂  +  5*x₃  ≤  10000

General constraints:

x₁  ≥  0     x₂  ≥0     x₃   ≥  0   all integers

Then the model  is:

z  =  4*x₁  +  4.5*x₂  + 4.75*x₃    to maximize

Subject to:

10*x₁  +  8*x₂  +  5*x₃  ≤  10000

x₁  ≥  0     x₂  ≥0     x₃   ≥  0   all integers

After 6 iterations using an on-line solver we got optimal solution:

x₁  =  x₂  =  0     x₃ = 2000

z(max) =  9500 $

Then as previous comments, the production will be:

Case of Extra hot sauce     8000 +  0   =  8000

Case of Hot Sauce            10000  +  0  =  10000

Case of Mild Sauce           12000  + 2000 =  14000

The whole profits :

z´  =  4*8000  + 4.5*10000 +  4.75 ( 12000 + 2000)

z´(max) = 32000 + 45000 +  66500

z´(max) = 143500 $

Aditional comments:

If we have n products at the same price it looks obvious that we manufacture the one wich the lowest cost. In this problem, the sales price is the same for the three sauces, and the production cost is the lowest for the Mild sauce, therefore as a consequence, it will be more profitable to manufacture Mild sauce.

A farmer wants to make a rectangular field with a total area of 3200^2. It is surrounded by a fence. It is divided into 3 equal areas by fences. What is the shortest total length of fence with which this can be done?

Answers

Answer:

18133.333... units

Step-by-step explanation:

the shortest circumference for a given area based on rectangles is a square (all sides of equal length).

we cannot split a square completely into 3 equal area squares (only 4).

the best approach is then to split this main square into 3 equal area rectangles (not equal rectangles).

area of square 3200² = 10240000

a third of that area is 3413333.333...

now, splitting the main square into 3 equal "strips" of land creates 3 narrow and long rectangles, which is bad for minimizing the circumference. the best solution is to get as closely as possible to a square shape.

that we get by splitting one side in half and go in as far as the land area allows, which would be

half a side = 1600

3413333.33.../1600 = 2133.33...

so, we get 2 areas of 1600 × 2133.33...

and one area of (3200-2133.33...)×3200 = 1066.66...×3200

the length of fence needed is then

around the main square = 4×3200 = 12800

plus one length of fence between the first 2 parts : 2133.33...

plus one intensive long side between the first 2 parts and the remaining third part : 3200

in total : 18133.33...

to check : the three slices would require the 12800 plus 2 long lines inside between the 3 slices : 2×3200

in total : 19200

and an attempt to simply build one long strip of 3 equal area squares next to each other :

the side length of one such square is

sqrt(341333.33...) = 1847.520861...

as fence we would need 6 times that side length for the top and the bottom of the long strip, 2 times that side length for the sides left and right if the strip, and 2 times inside as additional delimiters between the 3 squares.

in total : (6+2+2) × 1847.520861... = 10×1847.520861...

= 18475.20861...

this is all larger than the original solution.

If the scale of a map is such that 10 centimeters (cm) represents 25 kilometers (km), then two buildings that are actually 54 km from each other should be how many centimeters apart?​

Answers

Step-by-step explanation:

first find the value of 1km

1km= 10/25

1km= 0.4cm

now,

54km= 0.4× 54

= 21.6 cm

If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?

Answers

Step-by-step explanation:

there are 13 cards per 4 suits, totalling 52 cards in an entire deck

13 represents an entire 1 suit out of 52 cards

13/52 = 0.25

thus your answer is 0.25% or 1/4

What is the exact value of cos 3pi/4

Answers

Answer:

cos(3π/4) = -√2/2

Step-by-step explanation:

According to the unit circle, the exact value of cos(3π/4) is -√2/2.

The exact value of cos 3π/4 is - 1/√2

Here we have to find the exact value of

cos 3π/4

Since we know that,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

We can write,

cos 3π/4 = cos(π/2 + π/4)

Since we know that,

cos(π/2 + θ) = - sin θ

Therefore,

⇒ cos(π/2 + π/4)   = - sin π/4

                             = - 1/√2

Hence,

⇒ cos 3π/4 = - 1/√2

To learn more about trigonometric ratios visit:

https://brainly.com/question/29156330

#SPJ6

             

The product of two consecutive negative integers is 600. What is the value of the lesser integer?

–60
–30
–25
–15

Answers

Answer:

-25

Step-by-step explanation:

-24×(-25)=600

Hope this helps! :)

Answer: It's -25

edg 2023

Can someone help me please

Answers

Answer:

options 2, 3 and 5

Step-by-step explanation:

first of all, because

n²+3n+2n = 6n simplifies to n²+5n = 6n, which simplifies to

n² = n, which is not true for all n not equal to 0 or 1.

option 6 is not a valid reason, as it made a calculation error.

options 1 and 4 make invalid simplifications.

A book contains the following recommend weight for kangaroos:" Give the kangaroo 120 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, what height corresponds to the recommended weight of 180 pounds?

Answers

Answer:

A 180-pound kangaroo's recommended height is 6 feet.

Step-by-step explanation:

Since 120-pound kangaroo is 5 feet tall and for every inch over this height we add 5 pounds to the total weight, we can make this formula. [tex]120+x=180[/tex]. Using this we can figure out the weight difference between a 120-pound kangaroo and a 180-pound kangaroo. After solving for x we get [tex]x=60[/tex].

Now that we know the 180-pound kangaroo weighs 60 more pounds than a 120-pound kangaroo we can divide that weight difference by 5 to figure out the height difference. [tex]60/5=12[/tex]

After getting the height difference from the weight difference we can conclude that a 180-pound kangaroo's recommended height is 5 feet and 12 inches. Since 12 inches = 1 foot we can easily convert 5' 12" to 6'. This means that a 180-pound kangaroo is 6 feet tall.

Question 6.
Find the volume.

Answers

Answer:

128π ft³ ; 401.92 ft³

Step-by-step explanation:

The volume of the cylinder Given above :

Volume of cylinder, V = πr²h

r =Radius = 4 ; h = 8 ft

V = π * 4² * 8

V = 16 * 8 * π

V = 128π ft³

Using π = 3.14

V = 128 * 3.14 = 401.92 ft³

These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
10 15 20
30
55
HI
Town B
5
20
30
40
55
H
0 5
10
15
20
45
50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median for town A, 30°, is less than the median for town B,
40°
B. The mean for town A, 20°, is less than the mean for town B, 30°
C. The median for town A, 20°, is less than the median for town B,
30°
O D. The median temperature for both towns is 30°.

Answers

Answer:

The answer is:

C. The median for town A, 20°, is less than the median for town B, 30°.

Step-by-step explanation:

Median is the middle (center) value.

Option (C) the median for town A, 20°, is less than the median for town B, 30°.

What is box plot?

Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

For the given situation,

The diagram shows the box plot of the daily low temperatures for a sample of days in two different towns.

From the box plot, the median of town A is 20° and the median of town B is 30°.

From the data,

⇒ [tex]20 < 30[/tex]

Hence we can conclude that option (C) the median for town A, 20°, is less than the median for town B, 30°.

Learn more about box plot here

https://brainly.com/question/12591498

#SPJ2

My rule is: y = 1/3x + 11/15

Find y, if x=1

Find y, if x=6

Answers

Mark brainliest please

Answer: if x=1 , then y= 48/45
If x=6 then y= 42/15

Explaination

If x=1

Replacing value of x in the equation

y= 1/3*1 + 11/15

y= 48/45


If x= 6

Replacing value of x

y= 1/3*x + 11/15

= 42/15

Aku writes an average of 120 words on a sheet of paper.how many sheets of paper will she need to write 5400 words​

Answers

I’ll pay anyone to do my 7 math assignments(no scams no bs) Hmu asap

Answer:

sheet needed=45

Step-by-step explanation:

1 sheet=120 words

x sheet=5400 words

x sheet=5400/120

x sheet =45

A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is

Answers

Answer:

[tex]r =5[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,2)[/tex] -- center

[tex](x,y) = (1,5)[/tex] --- pass through

Required

The radius (r)

The equation of circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

So, we have:

[tex](1 - -3)^2 + (5 - 2)^2 = r^2[/tex]

[tex](4)^2 + (3)^2 = r^2[/tex]

[tex]16+9 = r^2[/tex]

[tex]25 = r^2[/tex]

Take square roots of both sides

[tex]5 = r[/tex]

[tex]r =5[/tex]

Other Questions
About 3 million years ago, the Isthmus of Panama (a narrow strip of land connecting North and South America) formed, dividing marine organisms into Pacific and Caribbean populations. Researchers have examined species of snapping shrimp on both sides of the isthmus. Based on the morphological species concept, there appeared to be seven pairs of species, with one species of each pair in the Pacific and the other in the Caribbean. The different species pairs live at somewhat different depths in the ocean. Using mitochondrial DNA sequences, the researchers estimated phylogenies and found that each of these species pairs, separated by the isthmus were indeed each other's closest relatives. The researchers investigated mating in the lab and found that many species pairs were not very interested in courting with each other, and any that did mate almost never produced fertile offspring. Which process led to the formation of the species pairs of Pacific and Caribbean snapping shrimp A state statute provides a remedy for victims of employment discrimination. The statute requires complainants to bring charges before the state's fair employment commission within 180 days of the alleged unlawful employment practices. The commission then has 120 days to convene a fact-finding conference to obtain evidence, ascertain the parties' positions, and explore settlement possibilities. An employee was discharged from his job purportedly because of a physical handicap unrelated to his ability to perform his job. The employee filed a timely complaint, alleging unlawful termination of employment, as required by the statute. However, through inadvertence, the commission scheduled the fact-finding conference five days after the 120-day statutory period expired. At the conference, the employer moved that the charge be dismissed for lack of a timely conference. The commission denied the motion. The employer petitioned the state supreme court. The court held for the employer, stating that the failure to comply with the 120-day requirement deprived the commission of jurisdiction to consider the employee's charge. On appeal to the United States Supreme Court, the employee argues that his right to due process will be violated if the commission's error is allowed to extinguish his cause of action.Which of the following best describes the viability of the employee's due process claim?response - correctPress Enter or Space to submit the answerAThe claim fails, because the employee had no protected property interest in his job.BThe claim fails, because the state legislature, having conferred on claimants a remedy for claims of unfair employment practices, has the prerogative to establish limiting procedures for such claims.CorrectCThe claim succeeds, because the employee had a protected property interest in the remedy.DThe claim succeeds, because of the fundamental unfairness of leaving the employee without a remedy.A state statute provides a remedy for victims of employment discrimination. The statute requires complainants to bring charges before the state's fair employment commission within 180 days of the alleged unlawful employment practices. The commission then has 120 days to convene a fact-finding conference to obtain evidence, ascertain the parties' positions, and explore settlement possibilities. An employee was discharged from his job purportedly because of a physical handicap unrelated to his ability to perform his job. The employee filed a timely complaint, alleging unlawful termination of employment, as required by the statute. However, through inadvertence, the commission scheduled the fact-finding conference five days after the 120-day statutory period expired. At the conference, the employer moved that the charge be dismissed for lack of a timely conference. The commission denied the motion. The employer petitioned the state supreme court. The court held for the employer, stating that the failure to comply with the 120-day requirement deprived the commission of jurisdiction to consider the employee's charge. On appeal to the United States Supreme Court, the employee argues that his right to due process will be violated if the commission's error is allowed to extinguish his cause of action.Which of the following best describes the viability of the employee's due process claim?A. The claim fails, because the employee had no protected property interest in his job.B. The claim fails, because the state legislature, having conferred on claimants a remedy for claims of unfair employment practices, has the prerogative to establish limiting procedures for such claims.C. The claim succeeds, because the employee had a protected property interest in the remedy.D. The claim succeeds, because of the fundamental unfairness of leaving the employee without a remedy. Can someone pls check this What year did orchestras start experimenting with recordings (recorded sound)?.1877b.1914 c. 1941d. 1990 Do you think cell division stops after a new baby is born? Why or why not? please help me i really need it lol A state of economic scarcity exists when consumers: Choose one of these words to complete the sentence:a. sponsor b. vocation c. narrative d. perish e. dull f. suspendg. delegate h. degree i. movement j. undertake k. spreadI. radical m. scope n. preserve o. theme p. rigidWe enjoyed listening to hisabout his travel experiencesQUESTION 123.3 pointsClick Save and Submit to save and submit. Click Save all Additional ActivityFrom the topics or titles you had saved, browse through some current articles thatrelates to the subject matter that interest you to research. Read and summarize thetopic using the narrowing chart on page 9 of this lesson. It is important that you savethis task for your next lesson Which of the following are exterior angles? Check all that apply. Which of the following describes the role of nitrogen-fixing bacteria in the nitrogen cycle? Nitrogen-fixing bacteria convertsA) nitrogen gas into ammoniaB) nitrates into nitrogen gasC) ammonia into proteinsD) proteins into nitrates Which has more molecules in it 10g H, 0 or 10g NaCl*A)010g of H0B)10g of NaClC)They have the same number of moleculesD)Cannot be determined Two trucks leave a warehouse at the same time. One travels due north at an average speed of 53 miles per hour, and the other travels due south at an average speed of 49 miles per hour. After how many hours will the two trucks be 459 miles apart? what are the measures of 1 and 2? One number is 5 more than eight times another. Their sum is 104. Find the numbers. Enter your answer as a list of numbers separated by a comma: a,b Find the area of this triangle.Round to the nearest tenth.11 in76 degrees24 in[?] in A body of mass 2.0 kg makes an elastic collision with another body at rest and continues to move in the original direction but with one-fourth of its original speed. (a) What is the mass of the other body? (b) What is the speed of the two-body center of mass if the initial speed of the 2.0 kg body was 4.0 m/s? find the approximate value of the circumference of a circle with the given radius use part equals 3.14 runner results to one more decimal than the given results 6 ft c = 18.8 ft 18.8 ft37.6 ft 37.7 fr Can someone please help ?! Thanks ! Line q has a slope of -8/9 , Another line r has the slope of 9/8.Are line q and line r parallel or perpendicular? Who discovered king Tutankhamun's tomb and treasures?.