Give me the hardest math equation you know and solve it
(Beware, if you joke and waste the points, I will not be very happy!)

Answers

Answer 1

1B + 26M - 26K

Answer That!! Hehehehe


Related Questions

can someone please help me

Answers

Answer:

Domain: All real numbers

Range: y≤4

The Johnsons’ new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool, in square feet?

Answers

Answer:

[tex]3x^3 + 4x^2 -3x + 2[/tex]

Step-by-step explanation:

The area of the swimming pool will be equal to [tex]length * width[/tex].

We know that the length is [tex]3x^2-2x+1[/tex] and the width is [tex]x+2[/tex].

Therefore we can substitute those into the equation:

[tex](3x^2-2x+1)(x+2)\\[/tex]

Then, we expand the brackets using a grid (attached).

After this, we collect like terms to find the final answer:

[tex]3x^3+6x^2-2x^2-4x+x+2\\3x^3 + 4x^2 -3x + 2[/tex]

Our final answer is: [tex]3x^3 + 4x^2 -3x + 2[/tex]

Find the range for the given domain: {-2, 0, and 1}and the function is y = 3x + 1.

Answers

Answer:

It's the first option: -5, 1 and 4

Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)?

Answers

The function g(x) gets shifted toward right by 6 units. Then the correct option is C.

The complete question is attached below.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function f(x) is given below.

f(x) = 10ˣ

And the function g(x) is given as

g(x) = f(x – 6)

Then the function can be written as

[tex]\rm g(x) = 10^{x - 6}[/tex]

The function g(x) gets shifted toward right by 6 units.

Then the correct option is C.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

Given: a and b are parallel and c is a transversal.
Prove: ∠2 ≅ ∠7
Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4.

Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent.

We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because
angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the

.

Answers

The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property

How to prove congruent angles?

The image of the transversal line is attached.

1) We know that lines a and b are parallel and that line c is a transversal because that is given.

2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.

3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.

4) Therefore, angles 2 and 7 are congruent based on the transitive property.

Read more about Congruent Angles at; https://brainly.com/question/1675117

#SPJ1

Answer: vertical, corresponding, and transitive property

Step-by-step explanation: I got the correct answer on Edge 2022. The answer is correct trust me! Proof is shown down below.

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.

What is the greatest possible whole-number value of the congruent side lengths?

Answers

The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is:

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?

9 cm

10 cm

14 cm

15 cm

We have:

The longest side of an isosceles obtuse triangle measures 20 centimeters.

Let's assume the unknown side length is x:

In the isosceles obtuse triangle, two sides are congruent.

As we know the sum of the two sides in a triangle is greater than the third side length:

x + x > 20

2x > 20

x > 10

a² + b² < c²

14 will satisfy the above two inequaility.

Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1


The graphs below are both absolute value functions. The equation of the red
graph is f(x) = xl. Which of these is the equation of the blue graph, g(x)?

a. g(x)=|x-2|
b.g(x)=|x+2|
c. g(x)=1/2|x|
d. g(x)=2|x|

Answers

Answer:

c

Step-by-step explanation:

Pls someone help me on this question

Answers

Answer: [tex]x=65^{\circ}, y=65^{\circ}, z=65^{\circ}[/tex]

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

z = y = (180-50)/2 = 65.

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

1/(x+2)+1/(x+3)=2/x+9

Answers

Answer:

4x82x929wjdjdejdjekke

[tex] \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54[/tex]

Hope it helps

Please give brainliest

Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options:

Answers

The true statements are:

Lines mn and pq have the same slopeThe product of the slopes of mn and mp is -1

How to determine the true statements?

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

Read more about parallel and perpendicular lines at:

https://brainly.com/question/7197064

#SPJ1

Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

Lines mn and pq have the same slopeThe slope of line pq is undefined. The product of the slopes of mn and mp is -1Lines mp and mq are parallel.

A group of friends wants to go to the amusement park. They have no more than $280 to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per person, including tax. Which inequality can be used to determine semanticsp, the maximum number of people who can go to the amusement park?

Answers

The number of people who can go to the amusement park is 8.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given: the group of friends had $280.

For parking=  $19.50

Remaining will be,

=$(280-19.50)

= $ 260.5

Cost of ticket per person = $33.75

Thus, number of tickets they can buy

=260.5 / 33.75

=7.718 = 8 peoples

Hence, number of people who can go to the amusement park is 8.

Learn more about this concept here:

https://brainly.in/question/51469249

#SPJ1


When the expression 3(x²+6-3x) - (2x²-8) + 3(x² + 4x) is simplified, the coefficient
of x is
A. 7
B. 4
C. 3
D. 2

Answers

The correct answer is option C which is 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as follows:-

E = 3( x² +6 -3x)- ( 2x² - 8 ) +3(x² + 4x )

E = 3x²+18-9x-2x²+8+3x²+12x

E= 4x² +3x+8

We can see the coefficient of x is 3.

Therefore the correct answer is option C which is 3.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

can you write 3/5 as a recurring decimal?
can i also have an explanation please :)

Answers

Answer:

0.6

Step-by-step explanation:

You can literally put 3/5 into a calculator and you would get the answer 0.6, so I don't know what else to say. Whoever asked you this question, give them the above answer ask them what they were on, because the person was probably way high on LSD.

how to apply Trigonometry in cricket? ​

Answers

Answer:

as we know that in cricket there is use of tan while doing bating

Match the function with the graph.
a. y = |x+ 5|
b. y= |x-5| + 2
c. y= |x-5|
d. y=|x| -5

i did a and it was wrong. i don’t understand lol please help







Answers

C. y= |x-5|

you have the right idea, it's being shifted horizontally so the shift would be shown inside of the brackets. However, it would be |x-5| not |x+5| because the graph is shifting to the right.

Investor Lucas just bought a large amount of stock in Company Y. What may have motivated his behavior? (5 points)

Lower shares prices
O Low real returns

O Higher shares costs

O High total ear

Answers

What must have motivated the behavior of the Investor to commit to such a large stock is; Option C: High Total Earnings

How to know the value of investing in stocks?

A) Low real returns; This cannot be his motivation to buy large shares because real return is what is earned on an investment after accounting for taxes and inflation. Thus, the lower, the less encouraging to investors.

B) Higher shares costs; This only means that the share cost is currently high which indicates strength of the company but it does not guarantee that it will scale up at a very fast rate again.

C) High total earnings; Thus would be an encouragement to the investor because the higher the total earning potential of an investment, the more the profitability and the more attractive to others.

Read more about Stock Investments at; https://brainly.com/question/25818989

#SPJ1

ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices
The measure of the longest side of ABC is _ units. ABC is_triangle. If ABD is formed with the point D(1,2) as it’s third vertex, then ABD is _triangle . The length of side AD is_units

Answers

Part 1

Using the distance formula,

[tex]AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}[/tex]

So, the measure of the longest side is 6 units.

Part 2

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that [tex]AB=\sqrt{34}[/tex]

Using the distance formula,

[tex]AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3[/tex]

So, ABD is a scalene triangle.

Part 3

From part 2, we know that the length of side AD is 5 units.

Hey can I have help on this question with an explanation please :)

Answers

Step-by-step explanation:

i hope this is helpful!........

For doing a certain a Job​

Answers

Answer:

added in picture

Step-by-step explanation:

added in picture

Answer:

$71,744.53

Step-by-step explanation:

The earnings triple every day, so you can calculate them for the 15 days. For the total, you also have to add them up.

See the calculations in below picture.

Graph the linear equation. Find three points that solve the equation, then plot on the graph.
-3x + 2y = 2

Answers

Step-by-step explanation:

I have done it go and check it once

The area of a rectangular piece of land is 2/3 square mile.

One dimension is 1 1⁄2 miles.

Answers

Answer:

4/9 miles

Step-by-step explanation:

                 [tex]\sf Area = \dfrac{2}{3} \ square \ miles\\[/tex]

               [tex]\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles[/tex]

[tex]\sf Width \ of \ rectangle = \dfrac{Area}{length}[/tex]

                             [tex]\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\[/tex]

Use KCF method for faction division.

K- Keep the first fraction.

C - Change the division to multiplication.

F - Flip the second fraction.

How much weight does the women in the video lose in a year? 80 pounds 90 pounds 50 pounds 20 pounds

Answers

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Medical practitioners recommend losing around 1–2 pounds (0.5–0.9 kg) per week.

Hence for a year:

Amount of weight loss = (1 * 365) or (2 * 365)

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1


A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2?

Answers

Answer:

9/2 or 6/2

Step-by-step explanation:

The sum of nine should be amended by adding 6 + 2 +1 = 9

so when adding these numbers you will get the sum of 9

Given: Lines p and q are parallel and r is a transversal.

Prove: ∠2 ≅ ∠7
Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7.

A 2-column table with 4 rows. Column 1 is labeled statements with the entries p is parallel to q and r is a transversal, A, B, angle 2 is congruent to angle 7. Column 2 is labeled reasons with the entries given, vertical angles are congruent, correlated angle theorem, transitive property.

Which statements could complete the proof?

A:



B:

Answers

The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:

∠2 ≅ ∠3

∠3 ≅ ∠7

What is the Transitive Property?

The transitive property states that if x = y, and y = z, then x = z.

From the image given below, we have:

∠2 ≅ ∠3 because they are vertical angles which must be congruent.

∠3 ≅ ∠7 because corresponding angles are congruent.

Applying the transitive property, we can state that: ∠2 ≅ ∠7.

Therefore, the statements that would complete the proof are:

∠2 ≅ ∠3∠3 ≅ ∠7

Learn more about the transitive property on:

https://brainly.com/question/2437149

#SPJ1

Find y in terms with x
Help me pleaseee thank uu:)​

Answers

Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\tt y = 90 \degree - \cfrac{5x}{2} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The two lines are parallel, henceforth we can apply Angle pair rules.

[tex]\qquad \tt \rightarrow \:(x + 3x + x) + 2y = 180[/tex]

[ Co - interior angles ]

[tex]\qquad \tt \rightarrow \:5x + 2y = 180[/tex]

[tex]\qquad \tt \rightarrow \:2y = 180 - 5x[/tex]

[tex]\qquad \tt \rightarrow \:y = \dfrac{180 - 5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = \cfrac{180 }{2} - \cfrac{5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = 90 \degree - \cfrac{5x}{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Which of the following is correct for determining the length of x to the nearest tenth of a metre?
cos 42 = x/6
tan 48 = x/5
sin 48 = x/5
tan 42 =x/6

Answers

The answer is (tan 48=x/5)

a researcher in north america discovers a fossil that contains 40% of its original amount of C-14

Answers

Using an exponential function, it is found that the substance is 7,535 years old.

What is the exponential function for the amount of a substance?

The function is given by:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

A(0) is the initial amount.k is the rate of exponential decay.

Carbon-14 has a half life of 5700 years, that is, A(5700) = 0.5A(0), hence we use this to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-5700k}[/tex]

[tex]e^{-5700k} = 0.5[/tex]

[tex]\ln{e^{-5700k}} = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{5700}[/tex]

k = 0.00012160476

Hence:

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

It was 40% of the amount when A(t) = 0.4A(0), hence we solve for t.

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

[tex]0.4A(0) = A(0)e^{-0.00012160476t}[/tex]

[tex]\ln{e^{-0.00012160476t}} = \ln{0.4}[/tex]

[tex]t = -\frac{\ln{0.4}}{0.00012160476}[/tex]

t = 7535.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Quayleen wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would she require?​

Answers

[tex]\bullet\:{\boxed{\tt{\red{{Given :}}}}}[/tex]

Length of the wooden box [tex](l)[/tex] = 80cm.

Breadth of the wooden box [tex](b)[/tex] = 40cm.

Height of the wooden box [tex](h)[/tex] = 20cm.

Side of the square sheet paper = 40cm.

[tex]\bullet\:{\boxed{\tt{\red{{To : Find :}}}}}[/tex]

The number of sheets required.

[tex] \bullet\:{\boxed{\tt{\red{{Formula \: \: used :}}}}}[/tex]

[tex] \star{\underline{\boxed{{\sf{{{TSA}} = \underline{\underline{{\purple\sf 2(lb+bh+hl)}}}}}}}} \star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Area \: of \: square}} = \underline{\underline{{\purple{\sf side \times side }}}}}}}}}\star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Number \: of \: sheets \: required} = {{{\purple{\sf \dfrac{TSA}{area \: of \: one \: sheet}}}}}}}}}}} \star[/tex]

[tex] \bullet\:{\boxed{\tt{\red{{Concept :}}}}}[/tex]

As Quayleen wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. So for knowing the number of sheets required, we need two things one the TSA and Area of one sheet. Once, we will get the values we will divide them to get the answer. Let's Start !!

[tex] \bullet\:{\boxed{\tt{\red{{Solution :}}}}}[/tex]

As we know that ::

Total surface area of cuboid [tex]\large[ \sf 2(lb+bh + hl)][/tex]

Here,

✧ Length [tex](l)[/tex] = 80cm

✧ Breadth [tex](b)[/tex] = 40cm

✧ Height [tex](h)[/tex] = 20cm

Now, by putting the values we get :

[tex] \longrightarrow 2 \bigg[ (80 \times 40) + (40 \times 20) + (20 \times 80) \bigg]\sf {cm}^{2}[/tex]

[tex]\longrightarrow 2 \bigg[ (3200) + (800) + (1600) \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 2 \bigg[ 5600 \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 11200 \: \sf {cm}^{2}[/tex]

Hence, the total surface area of the wooden box is 11200 cm²

Now,

The area of each sheet of paper will be :

[tex] \sf \longrightarrow side \times side[/tex]

[tex]\sf \longrightarrow (40 \times 40) \: {cm}^{2} [/tex]

[tex]\longrightarrow \sf (1600) \: {cm}^{2} [/tex]

Hence, the area of each sheet of paper is 1600 cm²

Now,

For finding the number of sheets required

[tex] \longrightarrow \tt \dfrac{total \: surface \: area \: of \: box}{ area \: of \: one \: sheet} [/tex]

[tex]\longrightarrow \sf\dfrac{ \cancel{11200}_{7}}{\cancel{1600}_{1}}[/tex]

[tex] \longrightarrow \purple{ \sf 7}[/tex]

Therefore, Quayleen requires 7 sheets.

[tex]\rule{280pt}{2pt}[/tex]

Do this for me pls its mdths

Answers

Answer:

A = -1

B = -3

C = -7

Step-by-step explanation:

See attached image.

Please Help Me! What is cos B?

Answers

Answer:

cos B = 0.4706

Step-by-step explanation:

The cosine of an angle in a right-angled triangle is the ratio of its adjacent side and the hypotenuse, so:

 [tex]cos B = \frac{adjacent}{hypotenuse}\\\\cos B = \frac{8}{17} \\\\cos B = 0.4706[/tex]

cosØ=Base/HypotenusecosB=BC/ABcosB=8/17cosB=0.4706

Option B

Other Questions
forIf a study determines the difference in average salarysubpopulations of mechanical engineers and civilengineers is NOT significant, then the subpopulationsof mechanical and civil engineers aredifferentsalaries.AGuaranteed not to be earningBNot earningC) Earning veryD Definitely earning Given the function, f(x)=x-2 +3, choose the correct transformation.right 2, up 3Right2, down 3 left 2, up 3left 2, down 3 ________ political content is given by a media source that lets the reader or viewer know upfront there is a political bias or position. For the following questions, identify the incorrect emotional appeal being used in the statements.3)This doll is the hottest toy to hit the market in several years, making it the number 1 most requested doll this Christmas season.a.) bandwagon appealb.) testimonialc.) loaded wordsd.) plain folkse.) snob appeal pls i need to pass this class i wna graduate . The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the smaller bottle holds.The length of the larger bottle is 10cm.the length of the smaller bottle is 5cm Please don't answer if you arent 100% what is the deepest ocean zone called? a. abyssal b. intertidal c. benthic d. pelagic Ozone consists of _______ molecules of oxygen, is found primarily in the ______ and protects us from ______ Changes that could occur when learners complete grade 12 and continue with higher education What is the 17th term in the arithmetic sequence an=77+(n-1)(-5) HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP I need help. The four main types of macromolecules found in organisms are carbohydrates, lipids, nucleic acids, and ? Which federal agency would be most directly involved in assisting victims made homeless by the severe flooding in Houston, Texas?A. The Environmental Protection AgencyB. The Federal Deposit Insurance CorporationC. The Federal Emergency Management AgencyD. The International Red Cross orSoda is often packaged in cans that are supposed to contain 12 ounces. However, nomanufacturing plant is perfect and so there might be slight errors. For example, Sam's SplendidSoda company has verified that the amount of soda in their cans has a normal distribution witha mean of 12 ounces and a standard deviation of 0.7 ounces. Although this is made up, it's notcompletely divorced from the truth.1. You open a can of Sam's and realize there are only 11.6 oz in the can. What is theprobability that a single can will contain 11.6 ounces or less of soda? (2 points)2. Troubled by the under-filled soda, you decide to empty out all the cans in a six pack of Sam'sSoda and find that the mean amount of soda in all the cans is 11.6 ounces. What is theprobability that six pack will have a mean of 11.6 ounces or less of soda? (2 points)3. Not satisfied with the information you figured out in #2, you take a case (36 cans) andempty out all the cans of Sam's Soda and find that the mean amount of soda in all the cans is11.6 ounces. What is the probability that case will have a mean of 11.6 ounces or less of soda?(2 points)4. Draw three normal distributions on the same set of axes or with the same scale to showhow the probabilities decrease from one can to six cans to 36 cans even though we're lookingat "less than 11.6 ounces." (2 points)5. Use the graphs and your own understanding of the Central Limit Theorem to write a fewsentences explaining what is happening here. (2) Which point is on the graph of the inverse function h-(x)?O (2,4)0 (0)O (0, 1)O (-5, 1) Benito Mussolini and the Italian military invaded what part of the world in 1941?A. The Soviet UnionB. Great Britain and FranceC. Japan and ChinaD. Egypt and Libya A full outer join with the matching rows removed is known as a ______________. 6. During some actual expansion and compression processes in pistoncylinder devices, the gases have beenobserved to satisfy the relationship PVn = C, where n and C are constants. Calculate the work done when a gas expands from 350 kPa and 0.05 m3 to a final volume of 0.25 m3for the case of n = 1 and 1.5. What is Grendel's mother's motivation for going to Herot? Which is not a symptom of cystic fibrosisA lack of ability to strengthen musclesB trouble digesting food C thick layer of mucus that can block airways