Seven students volunteered for a comparison of study guides for an advanced course in mathematics. They were randomly assigned, four to study guide A and three to study guide B. All were instructed to study independently. Following a two-day study period, all students were given an examination about the material covered by the guides, with the following results:Study Guide A scores: 68; 77; 82; 85Study Guide B scores: 53; 64; 71Perform a randomization test by listing all possible ways that these students could have been randomized to two groups. There are 35 ways. For each outcome, calculate the difference between sample averages. Finally, calculate the two-sided p-value for the observed outcome

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given question; we can use the R software to program the combination function that generates all the combinations.

options(digits =2(

scores<- c(68,77,82,85,53,64,71)

groupA <- combn(scores,4)

groupB <- apply(groupA,2, function(x) scores[!   (scores  %in%  x)  ]  )

colnames(groupA) <- colnames(groupB) <- paste("G", 1:35, sep"")

The accompanying 35 groupings (G1 to G35) contain all potential ways these understudies can be randomized under the null hypothesis

Group A

[tex]\text{G1 \ G2 \ G3 \ G4 \ G5 \ G6 \ G7 \ G8 \ G9 \ G10\ G11\ G12 \ G13 \ G14}[/tex]

[tex]\text{68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68 \ \ 68}[/tex]

[tex]\text{77 \ \ 77 \ \ 77 \ \ 77 \ \ 77 \ \ 77 \ \ 77 \ \ 77 \ \ 77 \ \ 77 \ \ 82 \ \ 82 \ \ 82 \ \ 82}[/tex]

[tex]\text{82 \ \ 82 \ \ 82 \ \ 82 \ \ 85 \ \ 85 \ \ 85 \ \ 53 \ \ 53 \ \ 64 \ \ 85 \ \ 85 \ \ 85 \ \ 53}[/tex]

[tex]\text{85\ \ 53 \ \ 64 \ \ 71 \ \ 53 \ \ 64\ \ 71\ \ 64 \ \ 71 \ \ 71 \ \ \ 53 \ \ \ 64 \ \ 71 \ \ 64}[/tex]

[tex]\text{G15 G16 G17 G18 G19 G20 G21 G22 \ G23 \ G24 \ G25 \ G26 \ G27}[/tex]

[tex]\text{68 \ \ \ 68 \ \ \ 68 \ \ \ 68 \ \ \ 68 \ \ \ 68 \ \ \ 77 \ \ \ 77 \ \ \ 77 \ \ \ 77 \ \ \ 77 \ \ \ 77 \ \ \ 77}[/tex]

[tex]\text{82 \ \ \ 82 \ \ \ 85 \ \ \ 85 \ \ \ 85 \ \ \ 53 \ \ \ 82 \ \ \ 82 \ \ \ 82 \ \ \ 82 \ \ \ 82 \ \ \ 82 \ \ \ 85}[/tex]

[tex]\text{53 \ \ \ 64 \ \ \ 53 \ \ \ 53 \ \ \ 64 \ \ \ 64 \ \ \ 85 \ \ \ 85 \ \ \ 85 \ \ \ 53 \ \ \ 53 \ \ \ 64 \ \ \ 53}[/tex]

[tex]\text{71\ \ \ \ 71\ \ \ \ 64\ \ \ \ \ 71\ \ \ \ 71\ \ \ \ 71\ \ \ \ 53\ \ \ \ 64\ \ \ \ 71\ \ \ 64\ \ \ \ 71\ \ \ \ 71\ \ \ \ 64}[/tex]

[tex]\text{G28 G29 G30 G31 G32 G33 G34 \ G35} \\ \\ 77 \ \ \ \ 77 \ \ 77 \ \ \ \ 82\ \ \ \ 82 \ \ \ 82 \ \ \ 82 \ \ \ \ \ 85 \\ \\ 85 \ \ \ 85 \ \ \ 53 \ \ \ \ 85 \ \ \ 85 \ \ \ 85 \ \ \ \ 53 \ \ \ 53 \\ \\ 53 \ \ \ 64 \ \ 64 \ \ \ 53 \ \ \ \ 53 \ \ \ 64 \ \ \ \ 64\ \ \ 64 \\ \\ 71 \ \ 71 \ \ \ 71 \ \ 64 \ \ \ 71 \ \ \ \ 71 \ \ \ \ 71 \ \ \ \ 71[/tex]  

Group B

[tex]\text{G1 \ G2 \ G3\ G4\ \ G5\ \ G6\ \ G7\ \ G8 \ \ G9\ \ G10\ \ G11\ \ G12\ \ G13\ G14 \ G15}[/tex]

[tex]\tet{53 \ \ 85 \ \ \ \ 85 \ \ \ \ 85\ \ \ \ 82 \ \ \ \ 82\ \ \ \ 82 \ \ \ \ 82\ \ \ \ 82 \ \ \ \ 82 \ \ \ \ 77\ \ \ \ 77\ \ \ \ 77\ \ \ \ 77\ \ \ \ 77}[/tex]

[tex]\text{64 \ \ \ 64 \ \ \ 53 \ \ \ 53 \ \ \ 64 \ \ \ 53 \ \ \ 53 \ \ \ 85 \ \ \ 85 \ \ \ 85 \ \ \ 64 \ \ \ 53 \ \ \ 53 \ \ \ 85 \ \ \ 85}[/tex]

[tex]\text{71 \ \ \ 71 \ \ \ 71 \ \ \ 64 \ \ \ 71 \ \ \ 71 \ \ \ 64 \ \ \ 71 \ \ \ 64 \ \ \ 53 \ \ \ 71 \ \ \ 71 \ \ \ 64 \ \ \ 71 \ \ \ 64}[/tex]

[tex]\text{G16 \ G17 \ G18 \ G19 \ G20 \ G21 \ G22\ \ G23\ \ G24\ \ G25 \ \ G26 \ \ G27\ \ G28}[/tex]

[tex]\text{77\ \ \ \ 77\ \ \ \ 77\ \ \ \ \ 77\ \ \ \ \ 77\ \ \ \ \ 68\ \ \ \ 68\ \ \ \ 68\ \ \ \ 68\ \ \ \ 68\ \ \ \ \ 68\ \ \ \ \ 68\ \ \ \ \ 68}[/tex]

[tex]\text{85 \ \ \ \ 82\ \ \ \ 82 \ \ \ \ 82 \ \ \ \ 82 \ \ \ \ 64 \ \ \ \ 53 \ \ \ \ 53 \ \ \ \ 85 \ \ \ \ 85\ \ \ \ 85 \ \ \ \ 82\ \ \ \ 82}[/tex]

[tex]\text{53\ \ \ \ 71\ \ \ \ 64\ \ \ \ 53\ \ \ \ 85\ \ \ \ 71\ \ \ \ 71\ \ \ \ 64\ \ \ \ 71\ \ \ \ 64\ \ \ \ 53\ \ \ \ 71\ \ \ \ 64}[/tex]

[tex]\text{ G29 \ G30\ G31 \ G32 \ G33 \ G34 \ G35} \\ \\ \text{68 \ \ \ 68 \ \ \ 68 \ \ \ \ 68 \ \ \ \ 68 \ \ \ 68 \ \ \ \ \ 68} \\ \\ \text{82 \ \ \ 82 \ \ \ \ 77 \ \ \ \ 77 \ \ \ \ 77 \ \ \ \ 77 \ \ \ \ 77} \\ \\ \text{53 \ \ \ 85 \ \ \ \ 71 \ \ \ \ 64 \ \ \ \ 53\ \ \ \ 85 \ \ \ \ 82} \\ \\[/tex]

The accompanying data below computes the distinctions for each group:

[tex]difference <- colMeans(groupA) - colMeans(groupB)[/tex]

[tex]\text{G1 G2 G3 G4 G5 G6 G7 G8 G9 \ G10 G11 G12 G13 G14 G15} \\ \\ \text{15 -3.3 3.1 7.2 -1.6 4.8 8.9 -14 -9.8 -3.3 1.3 \ 7.8 \ 12 \ -11 \ \ -6.8}[/tex]

[tex]\text{G16 G17 G18 G19 G20 G21 G22 G23 G24 G25 G26 G27 G28} \\ \\ \text{-0.42 \ -9.2\ -5.1\ 1.3 \ -17\ \ 6.6 \ \ 13 \ 17 \ \ -5.7\ -1.6 \ \ 4.8 \ \ -3.9 \ \ 0.17}[/tex]

[tex]\text{ G29\ \ G30 \ G31 \ G32 \ \ G33 \ G34 \ \ G35} \\ \\ \text{6.6 \ \ \ -12 \ \ \ -1 \ \ \ 3.1 \ \ \ 9.5 \ \ \ -9.2 \ \ \ -7.4}[/tex]

The two-sided p-value is the extent of contrasts between test midpoints as large or bigger in supreme value than the primary group. The cat function makes the outcomes simpler to peruse.

p <- sum (aba(difference)>=difference[1])/35

cat(p)

= 0.086


Related Questions

The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in

Answers

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

a dance club spent $922 on 40 items.The item include some hats and pairs of shoes.Each hat cost $19 and each pair of shoes cost $25.How many pairs of shoes did the dance club buy?​

Answers

1. H+S=40

2. 19H+25S=922

From 1,

19H+19S=760

Subtract this from 2 to eliminate H,

19H+25S-19H-19S=922-760

6S=162

Solve for S, then use either equation to solve for H.

Evaluate 2^9 (2 to the 9th power)

Answers

Answer:

512

Step-by-step explanation:

2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is

Answers

It’s b................................. .....

A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.

Answers

Answer:

2 x 2 x 2.38

2 x 2.1 x 2.26

6 x .31 x 5.118

PLZ HELP NO WRONG ANSWERS

Answers

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

PLZZZ ANSWER!! Answers for points will be reported.

Triangle KLM has KL = 28, KM = 28, and LM = 21. What is the area of the triangle?
The area of AKLM is about
(Simplify your answer. Round to one decimal place as needed.)

Answers

Answer:

272.6

Step-by-step explanation:

This is an isosceles triangle with base of 21 and sides of 28.

Area formula

A = 1/2bh

Find height:

h = [tex]\sqrt{28^2 - (21/2)^2} = \sqrt{673.75} = 25.96[/tex]

Area:

A = 1/2(25.96)(21) = 272.6 (rounded)

Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes?​

Answers

Answer:

2,000 meters

Step-by-step explanation:

I multiplied 100 by 20.

Hope this helped

each minute, they swim 50 m.

20*50 = 1000

1000 meters

What day and time will it be 85 hr 33 min after Friday 12:11 am?

Answers

Answer:

Enter date and time information at "From:"

Select a month and a day. Enter a year.

The year entered must be a positive number. Not zero (0).

Enter hours and minutes. Select am or pm.

The hours entered must be a positive number between 1 and 12 or zero (0).

The minutes entered must be a positive number between 1 and 59 or zero (0).

Add or Subtract Line

Enter number of days, hours and minutes

Select "add" or "subtract"

If you type "ghblxz", in the year box the computer will print "0"

If you type "1.9e2", the computer will use "190" to calculate the answer.

If you select "February 31", the computer will print "Not a Day"

Click "Click to Calculate" button. The calculated date and time will appear.

NaN = not a number

To clear the entry boxes click "Reset

What is the difference between 50 and -50?

Answers

Answer:

100

Hope this helps! Have a nice life! ✌

2x-7= -5x+14
with explanation pls.​

Answers

First, add 7 to both sides of the equation so it would be;

2−7=−5+14

2−7 + 7=−5+14+7

To simplify this it would be:

2=−5+21

Add 5 to both sides, it would look like this:

2=−5+212+5=−5+21+5

To simplify it would be;

7=21

Divide both sides of equation with once again, the same number

7=21  77=217

Simplify it;

=3

Therefore your answer is;

=3

ques 1 : x + 1 3/8 = 2 1/4

ques 2 : 13.27 = t - 24.45

ques 3 : 9 = 3/8 × y

please answer them due date today thx

Answers

Answer:   1. 29/8

                2. 37.72

                3. 24

Step-by-step explanation:

1. x + 1 3/8 = 2 1/4

              x = 21/4 - 13/8

              x = 42/8 - 13/8           [set the denominator equal]

              x = 29/8

2. 13.27 = t - 24.45

Rewrite the function as t - 24.45 = 13.27

                                                   t  = 13.27 + 24.45

                                                   t  = 37.72              

3.  9 = 3/8 × y

Rewrite as 3/8 x y = 9

                            y = 9/ (3/8)

                            y = 9 x (8/3)

                            y = 24

 

Please help me ASAP I’ll mark Brainly

Answers

Answer:

0.85

Step-by-step explanation:

3.4 / 4 = 0.85

Hope that helps!

Need help 2w+43,if w=9

Answers

Answer:

61

Step-by-step explanation:

2w + 43 = ?, w = 9

Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61

A medical doctor uses a diagnostic test to determine whether a patient has arthritis. A treatment will be prescribed only if the doctor thinks the patient has arthritis. The situation is similar to using a null and an alternative hypothesis to decide whether to prescribe the treatment. The hypotheses might be stated as follows.

H0 : The patient does not have arthritis

Ha : The patient has arthritis

Which of the following represents a Type II error for the hypotheses?

A
Diagnosing arthritis in a patient who has arthritis

B
Failing to diagnose arthritis in a patient who has arthritis

C
Diagnosing arthritis in a patient who does not have arthritis

D
Failing to diagnose arthritis in a patient who does not have arthritis

E
Prescribing treatment to a patient regardless of the diagnosis

Answers

Answer:

B) Failing to diagnose arthritis in a patient who has arthritis

Step-by-step explanation:

CollegeBoard


3. Which of the following is a polynomial with roots 4,6, and - 7

Answers

Answer: P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

(4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

Have a awesome day✨

Choose the correct graph of the function Y = Vx+1

Answers

Answer:

The graph for y=[tex]\sqrt{x}[/tex]+1 looks like this. Hope this helped you :D

Step-by-step explanation:

The required graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The equation y = √x + 1 represents a simple algebraic function in which the value of y is dependent on the value of x.

When we plot this function on a graph with x on the horizontal axis and y on the vertical axis, we get a curve that starts from the point (0,1) and continues upward as x increases.

At x=0, the value of y is 1. As x increases, the value of y increases as well, but at a slower rate because of the square root function. As x approaches infinity, the value of y also approaches infinity, but again at a slower rate than a linear function.

Since the domain of the function is all non-negative real numbers (x ≥ 0), the graph of the function exists only in the first quadrant of the coordinate plane.

Overall, the graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ7

HURRY PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

About 40% of students own a cat

Step-by-step explanation:

Mar 15, 8:58:09 AM
Hailey is a high school basketball player. In a particular game, she made some three
point shots and some free throws (worth one point each), Hailey scored a total of 14,
points and made 4 times as many free throws as three point shots. Write a system of
equations that could be used to determine the number of three point shots Hailey
made and the number of free throws she made. Define the variables that you use to
write the system

Answers

Answer:

[tex]3a + b = 14[/tex]

[tex]b = 4a[/tex]

Step-by-step explanation:

Key:

a = 3 point throws

b = Free throws

Total points = 14

Required

Determine the system of equations

[tex]Total\ points = 14[/tex] implies that:

[tex]3 * a + b = 14[/tex]

[tex]3a + b = 14[/tex]

4 times as many b as a implies that:

[tex]b = 4 * a[/tex]

[tex]b = 4a[/tex]

So, the system of equations are:

[tex]3a + b = 14[/tex]

[tex]b = 4a[/tex]

just here for the points :l

Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?

Answers

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees

Answers

I believe it’s 80 degrees

Answer:

The is A) 91

Step-by-step explanation:

can you solve x: 6x+3=9x+21​

Answers

Answer:

-6

Step-by-step explanation:

6x-9x=21-3

-3x=18

x=-6

X=-6x, hope this helps !!!

CORRECT ANSWER GETS BRAINLY PLEASE!!! For g(x)=x^2-x, find g(x) when x=-5
Must Show Work
g(-5)=?

Answers

We will plug in -5 for x in the original equation
g(-5) = (-5)^2 - (-5)
we will first square -5
g(-5) = 25 + 5
g(-5) = 30

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution

Answers

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?

"It is a triangle having one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

Three ways to solve systems of equations ?

Answers

substitution, elimination, and graphing.
i know one is graphing:)

i need help! i’m not sure what’s going on

Answers

Answer:one of them is m=3/1 y=3x+10

Step-by-step explanation:i

Can a trangle have lengths of 1 , 1 and 6

Answers

Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

No it cannot have a length of 1,1,6

Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!

Answers

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36

Answers

Answer:

540 feet

Step-by-step explanation:

[tex]\frac{36}{100} = \frac{x}{1500}[/tex]  Cross multipy

100x = 54000

54000/100 = 540

x = 540

If a rectangular prism has a length, width, and height of 3/8 centimeter, centimeter, 5/8 and centimeter, 7/8 respectively, then the volume of the prism
is _____ cubic centimeter.

Answers

Answer:

3/8 x 5/8 x 7/8=105/512.

Step-by-step explanation:

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Based on the survey results, what is the estimated probability that the student chooses the aquarium?Write your answer in the space below.4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.Write your answer in the space below.A teacher surveys a sample of students from Lake Middle School. He asks the students where theyd like to go for a field trip. He records these results:80 choose the aquarium.60 choose the science center.30 choose the planetarium.40 choose the farm.The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.Answer the questions to solve the problem.1. How many students did the teacher survey?Write your answer in the space below.2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth. Show your work.Write your answer in the space below.3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?Write your answer in the space below.4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.Write your answer in the space below. Pleaseeeee helppppp!!!! If Angle P and Angle Q are supplementary,and Angle P = 4x - 32 andAngle Q = 5x + 50, find the value of x. What is the equation of the line that passes through the point (1,3) and has a slope of -3 40 POINTS!!! Prompt Read the information in the box below. Think about the ways young people use cell phones and other wireless devices. Write an essay explaining the positive and negative effects of wireless-device use on teenagers. Be sure to clearly state your thesis organize and develop your ideas effectively choose your words carefully edit your writing for grammar, mechanics, and spelling Please help me! 20 points![Inequalities Review] Please help as soon as possible 30. Easy Guided Online Tutorial One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 25 m/s. The masses of the two objects are 3.0 and 8.0 kg. Determine the final speed of the two-object system after the collision for the case when the large-mass object is the one moving initially and the case when the small-mass object is the one moving initially. Can yall help me pleaseeeee