(PEPPER FOOD DELIVERY) PLEASE READ FIRST

I just need to know how to do the math to answer the question. In the picture I am sending, it is not the full chart, but shows all the sections that are in it. I JUST NEED TO KNOW HOW TO DO THE MATH to answer this big question. DO NOT give me an answer because I did not provide all of the data to do the whole math problem since I can only post one photo at a time, just please tell me what I need to do for each part of this big question to properly answer it thats all.




following types of accounts (link):
• Asset Liability Equity • Revenue Expense $ J Calculate the following items using formulas in Excel (link)

• Total assets as of January 31, 2020 (put formula in Cell C84)

• Total liabilities as of January 31, 2020 (put formula in Cell 085) Revenues for the month ending January 31, 2020 (put formula in Cell C89) Expenses for the month ending January 31, 2020 (put formula in Cell C90)

• ● 4 • Net income for the month ending January 31, 2020 (put formula in Cell C91) Equity as of January 31, 2020 (put formula in Cell C86)Hint: Equity will be Common Stock + Retained Earnings + Net income - Dividends

4. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87)Using your Excel worksheet and your answers to Requirement 2, answer the following questions:

a. What would the accounting equation (link) for Pepper Food Delivery be as of January 31, 2020?

b. What accounts would be found on Pepper Food Delivery's balance sheet (link) as of January 31, 2020?

c. What accounts would be found on Pepper's income statement (link) for the month ended January 31, 2020?

d. Did Pepper Food Delivery have a profitable month? How do you know?

e. What is the total amount that Pepper Food Delivery owes as of January 31, 2020?

4. What was Pepper Food Delivery's largest total expense for January?​

(PEPPER FOOD DELIVERY) PLEASE READ FIRSTI Just Need To Know How To Do The Math To Answer The Question.

Answers

Answer 1
It seems that the question is related to accounting and financial statements of Pepper Food Delivery, and it requires the use of formulas in Excel. Here are the steps to answer each part of the question:

1. Total assets as of January 31, 2020 (put formula in Cell C84):
To calculate the total assets, add up all the values under the asset column. The formula for cell C84 would be "=SUM(B4:B81)" (assuming that the assets start from row 4 and end at row 81).

2. Total liabilities as of January 31, 2020 (put formula in Cell C85):
To calculate the total liabilities, add up all the values under the liabilities column. The formula for cell C85 would be "=SUM(B87:B99)" (assuming that the liabilities start from row 87 and end at row 99).

3. Revenues for the month ending January 31, 2020 (put formula in Cell C89):
To calculate the total revenue for the month of January, add up all the values under the revenue column. The formula for cell C89 would be "=SUM(B66:B81)" (assuming that the revenues start from row 66 and end at row 81).

4. Expenses for the month ending January 31, 2020 (put formula in Cell C90):
To calculate the total expenses for the month of January, add up all the values under the expense column. The formula for cell C90 would be "=SUM(B51:B64)" (assuming that the expenses start from row 51 and end at row 64).

5. Net income for the month ending January 31, 2020 (put formula in Cell C91):
To calculate the net income, subtract the total expenses from the total revenues. The formula for cell C91 would be "=C89-C90".

6. Equity as of January 31, 2020 (put formula in Cell C86):
To calculate the equity, add up the values of common stock, retained earnings, and net income, and then subtract the value of dividends. The formula for cell C86 would be "=B3+B84+C91-B101" (assuming that the values for common stock, retained earnings, net income, and dividends are in cells B3, B84, C91, and B101, respectively).

7. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87):
To calculate the total liabilities and equity, add up the values of liabilities and equity. The formula for cell C87 would be "=C85+C86".

Using the results from the above calculations, the questions can be answered as follows:

a. What would the accounting equation for Pepper Food Delivery be as of January 31, 2020?
The accounting equation for Pepper Food Delivery as of January 31, 2020 would be: Assets = Liabilities + Equity

b. What accounts would be found on Pepper Food Delivery's balance sheet as of January 31, 2020?
The balance sheet of Pepper Food Delivery would include assets, liabilities, and equity as of January 31, 2020.

c. What accounts would be found on Pepper's income statement for the month ended January 31, 2020?
The income statement of Pepper Food Delivery for the month ended January 31, 2020 would include revenues and expenses.

d. Did Pepper Food Delivery have a profitable month? How do you know?
To determine if Pepper Food Delivery had a profitable month, check if the net income is positive or negative. If the net income is positive, then the company had a profitable month. If it is negative, then the company had a loss. The result can
Answer 2
Final answer:

You'll need to build Excel formulas using =SUM() function on specified cells in order to calculate total assets, total liabilities, revenue, and expenses. To calculate net income, subtract total expense from total revenue. Calculate Equity by summing common stock, retained earnings, and net income, then subtracting dividends. Finally, sum total liabilities and total equity.

Explanation:

To answer these questions, you are required to have Excel skills and basic understanding of business accounting principles. Let's break it down per section:

Total assets as of January 31, 2020. You simply need to calculate the sum of all the Asset accounts for that date. You would use the SUM formula in Excel like this: =SUM(range of cells with asset values). Total liabilities as of January 31, 2020. The same as assets, you calculate the sum of all the Liability accounts for that date. The SUM formula is the same as the one used for assets. The Revenues for the month ending January 31, 2020. This is the total sales the business had during January. Again, use the SUM formula to add all the relevant revenue accounts together. Expense for the month ending January 31, 2020. You should add up all expense account figures within that time frame using the SUM formula. Net income for the end of January. This can be derived by subtracting Total Expenses (C90) from Total Revenues (C89). Equity as of January 31, 2020. This is calculated as common stock, plus retained earnings, plus net income, minus dividends. Total liabilities and equity as of January 31, 2020. This is achieved by summing the total liabilities (C85) and total equity (C86).

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Related Questions

Please please Please help!!!!!

Find the indicated measure for circle P.

Answers

The length FE is 6 units and the arc AE is 64 degrees

Calculating the length FE

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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please help me as fast as you can!!!!!!

Answers

Answer:

X=20

Step-by-step explanation:

khan academy :))

100 POINTS

Dave wants to rent a two-bedroom apartment in City Fields. The apartment has a monthly rent of D dollars. The fees he has been quoted are shown below. Write an algebraic expression that represents the amount he is expected to pay before renting the apartment.

Answers

Answer:

Final Expression:

3.095D + $10

Step-by-step explanation:

Let's represent the Monthly Rent by "D" dollars

The amount Dave is expected to pay before renting the apartment is the Sum of All the Fees he has been quoted:

Application Fee:

1.5% of 1 month's rent = 0.015D

Credit Application Fee:

$10.00

Security Deposit:

1 Month's rent =  D

Last Month's rent:

1 Month's Rent = D

Broker's Fee:

9%

Thus, The algebraic expression that represents the amount Dave is expected to pay before renting the apartment is:

0.015D + $10  +  D  +  D + 1.08D

Simplify Expression:

3.095D  + $10

Hence, The final expression is:

Answer:  3.095D + $10

If coto = 13/6 than what is Seco

Answers

Answer:

Step-by-step explanation:

We know that the cosine of an angle is the reciprocal of the secant of the same angle, and the cotangent of an angle is the reciprocal of the tangent of the same angle. Therefore, we can use these relationships to find the value of the secant of an angle when the cotangent of the same angle is given.We are given that cot(o) = 13/6. Using the definition of the cotangent function, we know that:cot(o) = adjacent side / opposite sideWe can use the Pythagorean theorem to find the hypotenuse of a right triangle with adjacent side 13 and opposite side 6:h^2 = 13^2 + 6^2

h^2 = 169 + 36

h^2 = 205

h = sqrt(205)Now we can use the definitions of the secant and cosine functions to find the value of sec(o):sec(o) = hypotenuse / adjacent side

sec(o) = sqrt(205) / 13Therefore, the value of sec(o) is:sec(o) = sqrt(205) / 13 ≈ 1.5276

Solve (2x<6) n(x-5 > -4) {x|1 1}, {all real numbers}, no solution

Answers

The solution to the set {2x < 6} n {x - 5 > -4} is {x | 1 < x < 3 }

Calculating the solution to the set

From the question, we have the following parameters that can be used in our computation:

{2x < 6} n {x - 5 > -4}

Divide both sides of 2x < 6 by 2

So, we have

{x < 3} n {x - 5 > -4}

Add 5 to both sides of x - 5 > -4

So, we have

{x < 3} n {x > 1}

The above set when combined is

1 < x < 3

This means that the solution to the set is {x | 1 < x < 3 }

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An expression with three missing parts is shown. Write a whole number from 1 to 9 in each box
to create the expression with the greatest value when a = 5. Each whole number can only be
used once.
a+
1 2 3 4 5 6 7 8 9

Answers

The expression with the greatest value when a = 5 is:

a + 9 × 8 ÷ 7, with 9 in the first box, 8 in the second box, and 7 in the third box.

To create the expression with the greatest value when a = 5, we want to choose the largest possible numbers to fill in the missing parts.

Since each whole number can only be used once, we should choose the three largest numbers from 1 to 9.

The three largest numbers from 1 to 9 are 9, 8, and 7. So we can fill in the expression as follows:

a + 9 × 8 ÷ 7

When a = 5, this expression evaluates to:

5 + 9 × 8 ÷ 7 = 5 + 72 ÷ 7 = 15.2857...

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Solve algebraically
(x-3)^4-5=11

Answers

Answer:

x=5,1

Step-by-step explanation:

have a great day and thx for your inquiry :)

Answer: x = 5, 1

Step-by-step explanation:

Take the root of both sides and solve

In a sample of 10 students, 7 said No to there being a difference in taste between Coke and Pepsi while 3 says Yes. What is the probably 95% agree that there is no difference in taste between coke and Pepsi?

Answers

We cannot conclude that 95% of the population agrees that there is no difference in Taste between Coke and Pepsi.

To calculate the probability that 95% of the population agrees that there is no difference in taste between Coke and Pepsi, we can use the binomial distribution formula.

Let X be the number of students who say there is no difference in taste, and n be the total number of students in the sample. Then, X follows a binomial distribution with parameters n and p, where p is the true proportion of students who say there is no difference in taste.

The point estimate of p is 7/10 = 0.7. The standard error of the proportion can be calculated as the square root of p(1-p)/n = sqrt(0.7*0.3/10) = 0.23.

Using a normal approximation to the binomial distribution, the 95% confidence interval for p is given by:

0.7 +/- 1.96*0.23 = (0.24, 1.16)

Since the interval includes 0.5, which represents the point where the proportion of agreement and disagreement is equal, we cannot conclude that 95% of the population agrees that there is no difference in taste between Coke and Pepsi.

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can someone help me with this?

Answers

Answer: 27[tex]\pi[/tex]

Step-by-step explanation:

Use the circle area formula: r²[tex]\pi[/tex]...

6²[tex]\pi[/tex] = 36[tex]\pi[/tex]

And since a quarter of the circle is removed(aka [tex]\frac{1}{4}[/tex]), divide 36 by [tex]\frac{3}{4}[/tex]...

= 27[tex]\pi[/tex]

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite
direction. The number b varies directly with the number a. For example b = 22 when a = - -2 Which equation
represents this direct variation between a and b?

Answers

The equation that represents the direct variation between a and b in the given problem is: b = -a. So, option is correct.

The statement "a number, b, is located the same distance from 0 as another number, a, but in the opposite direction" means that b = -a. The statement "The number b varies directly with the number a" means that b is proportional to a, or mathematically, b = k*a, where k is the constant of proportionality.

Substituting b = -a into the equation b = ka, we get -a = ka. Solving for k, we get k = -1. Therefore, the equation that represents the direct variation between a and b is b = -a which is option B, "-b = -a".

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Complete question - On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 22 when a =  -2 Which equation represents this direct variation between a and b?

A. a = -1

B. -b = -a

C. b-a = 0

D. b(-a) = 0.

Please guys I really need help is just one problem

Answers

Answer:

Step-by-step explanation:

You probably should check for silly mistakes.

identify all the situations that depict inverse variation.

Answers

Inverse variation is a relationship between two variables where one variable increases as the other variable decreases, and vice versa.

This means that as one variable doubles, the other variable will decrease by half, or vice versa.

The following are situations that depict inverse variation:

1. When you are traveling at a constant speed, the time it takes to cover a given distance is inversely proportional to the distance. This is because the distance will decrease as the speed increases.

2. If you have a light source, the intensity of the light decreases as you move further away from the source. This is because the distance between the source and the object increases as the intensity of the light decreases.

3. The force of gravity between two objects is inversely proportional to the square of the distance between them. This is because the force of gravity will decrease as the distance between the objects increases.

4. When the temperature of a gas decreases, its pressure increases. This is because the volume of the gas remains constant as the temperature decreases, which causes the pressure to increase according to the gas laws.

5. The period of a pendulum is inversely proportional to the square root of its length. This is because the length of the pendulum will decrease as the period increases.

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write the equation of a line that is perpendicular to x=8 and that passes through the point (-3,-2)​

Answers

Answer:

y = - 2

----------------

The line that is perpendicular to x = 8 has a form of:

y = a

Since it has a point (-3, - 2), the value of a is the y-coordinate of this point. Therefore the line is:

y = - 2

find the median of each of the following scores
x f fc
300-309 9 9
310-319 20 29
320-329 24 53
330-339 38 91
340-349 48 139
350-359 27 166
160-169 17 183
170-179 6 189

Answers

The median score, considering the frequency distribution in this problem, is given as follows:

334.5.

How to obtain the median of a data-set?

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

The total number of observations in the data-set is given as follows:

189.

Hence the position in the cumulative frequency table of the median element is given as follows:

0.5 x (189 + 1) = 95.

Which is in the following interval:

330-339.

Hence the median is of 334.5, as it is the middle value of the interval.

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help!!!

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC

Answers

According to the figure the required lengths are

BD = 7 units

BC = 9.9 units

How to find the required lengths

The required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.

Also,  the perpendicular bisector creates another angle 45 degrees at angle B.

hence we another right triangle with a leg as 7 units hence BD is 7 units

solving for BC

BC = BA

BC² + BA² = CA²

BC² + BC² = 14²

2 x BC² = 196

BC² = 98

BC = √(98)

BC = 9.9 units

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Analyze the pre-image ABCD. What are the vertices of the final image if T-1, -2 ° Ty = › is applied to figure ABCD?

Answers

Answer:

A''(3, 0); B''(3, 2); C''(1, 1); D''(1, -1)

Step-by-step explanation:

Determine whether each pair of polygons is similar. If so, write a
similarity statement.

Answers

Answer:

The polygons are similar. They are similar in the way that the larger polygon is 3 times the size of the smaller one.

8 Crude oil in heima grounded well comes out of the ground at a cost of sh 15000 per minute. How much does the oil company expect to spend in a 24 hour day? ​

Answers

1 min costs sh15000
24hrs =1440min
1440min cost sh15000 x 1440
24hrs cost sh.21600000
Hope it helps

How many multiples of both 2 and 5 are there in between 34 and 417?

Answers

The number of multiples of both 2 and 5 that are there between 34 and 417 is given as follows:

39.

How to obtain the multiples?

The rules for the multiples of 2 and 5 are given as follows:

Multiples of 2: numbers finished in 0, 2, 4, 6, 8.Multiples of 5: numbers finished in 0 and 5.

Hence the numbers that are multiples of both 2 and 5 finish in zero, which are the multiples of 10.

Then the divisions are given as follows:

417/10 = 41. -> integer part.34/10 = 3 -> integer part.

Hence the number of multiples is given as follows:

41 - 3 + 1 = 39.

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Enter the number that belongs in the green box

Answers

The calculated value of the missing side length of the triangle is 13.96 units

Calculating the missing side length of the triangle

From the question, we have the following parameters that can be used in our computation:

The triangle

The missing side length of the triangle can be calculated using the law of sines

The law of sines states that

a/sin(A) = b/sin(B) = c/sin(C)

Using the above as a guide, we have the following equation

x/sin(61) = 15/sin(70)

Cross multiply

x = sin(61) * 15/sin(70)

Evaluate

x = 13.96 units

Hence, the missing side length of the triangle is 13.96 units

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Which function does this graph represent?

A downward open parabola rises from (negative 2 point 4, negative 4) to (negative 1, 2) and declines through (0 point 4, negative 4) on the x y coordinate plane.

A.
f(x) = 3(x + 1)2 + 2
B.
f(x) = -3(x + 1)2 + 2
C.
f(x) = -3(x + 1)2 − 2
D.
f(x) = 3(x − 1)2 + 2

Answers

The function that corresponds to the parabola Graph is f(x) = -3(x + 1)² + 2, which is option B.

The graph represents a downward open parabola that rises from (-2.4,-4) to (-1,2) and then declines through (0.4,-4) on the x-y coordinate plane.

To determine the function that corresponds to this graph, we need to consider the key features of a parabolic function, including its vertex and axis of symmetry.

The vertex of a parabola in the form f(x) = a(x-h)² + k is (h,k), and the axis of symmetry is x = h

From the graph, we can see that the vertex of the parabola is at (-1,2), which means that h = -1 and k = 2.

We also know that the parabola opens downward, which means that a < 0.

Therefore, we can eliminate options A and D since they both have a positive value of "a."

Next, we can test options B and C.

Option B has the form f(x) = -3(x + 1)² + 2, which means that the vertex is at (-1,2) and the parabola opens downward due to the negative coefficient of (x+1)².

To confirm if option B is correct, we can check if the point (0.4,-4) lies on the parabola:

f(0.4) = -3(0.4+1)² + 2 = -3(1.4)² + 2 = -5.88

Since the y-coordinate of the point (0.4,-4) is -4, which is equal to -5.88, we can see that the point lies on the parabola.

Therefore, the function that corresponds to the graph is f(x) = -3(x + 1)² + 2, which is option B.

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Encontrar 2 números cuya suma sea 49 y su diferencia sea 23

Answers

Answer:

Step-by-step explanation:

D

A basketball has an approximate volume of 268 cm³. What is the diameter of the basketball? Use 3.14 for π, and round your answer to the nearest whole centimeter.

Answers

The diameter of the basketball is 16 cm given the volume of 268 [tex]cm^{3}[/tex]

What is Sphere?

Sphere is a three-dimensional object that is round in shape. It  is an object that is completely round in shape like a ball.

How to determine this

When a basketball has a volume of 268[tex]cm^{3}[/tex]

The volume of a sphere = 4/3 * π * [tex]r^{3}[/tex]

Where π = 3.14

Radius, r = ?

Volume of basketball = 4/3 * 3.14 * [tex]r^{3}[/tex]

268[tex]cm^{3}[/tex] = 4/3 * 3.14 * [tex]r^{3}[/tex]

268[tex]cm^{3}[/tex] = 12.56/3 * [tex]r^{3}[/tex]

Cross multiply

268 * 3 = 12.56 * [tex]r^{3}[/tex]

804 = 12.56 * [tex]r^{3}[/tex]

divides through by 12.56

804/12.56 = 12.56[tex]r^{3}[/tex]/12.56

64.01 = [tex]r^{3}[/tex]

cube both sides

∛64.01 = r

r = 4 cm

So, the radius = 4 cm

To find the diameter of basketball

When the radius = 4 cm

And diameter = 2(r)

Diameter = 2 * 4 cm

Diameter = 8 cm

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1.what is the cost of three 5kg bags of Rice at ¢2 par kg.

2.how many 2km price can I cut off a string of one meter long.

3. what fraction of a litre is 259 ml?

4.write 60ps as a decimal of ¢240.

5. how many groups of 4 mark 20.

6.an orange ¢150 .how much do 9 orange coast.

7. find the product of 35 and 12 .

8.how many 180g could be obtained from kg?​

Answers

1. Using mathematical operations, the cost of three 5kg bags of rice at ¢2 per kg is ¢30.

2. From the 2km piece, you can cut 2,000 pieces with each one meter long.

3. The fraction of a liter that is 259 ml can be written as ²⁵⁹/₁₀₀₀.

4. 60ps expressed as a decimal of ¢240 is 0.25.

5. The groups of 4 marks in 20, based on a division operation, is 5.

6. If an orange costs ¢150, by multiplication, 9 oranges will cost ¢1,350.

7. The product of 35 and 12, which is a multiplication operation, is 420.

8. Using division operation, from 1 kg, one could obtain 5.55 units of 180g each.

What are mathematical operations?

The four basic mathematical operations are addition, subtraction, division, and multiplication.

In this situation, the mathematical operations involved are division and multiplication.

1) The cost of price per kg = ¢2

The number of bags bought = 3

The weight per bag = 5kg

The total weight of 3 bags = 15kg (5 x 3)

The total cost = ¢30 (¢2 x 15)

2) The total length of the piece = 2km

1 km = 1,000 meters

2km = 2,000 meters

The length of each string = 1 meter

The number of strings = 2,000 (2,000 ÷ 1)

3) 1 liter = 1,000 ml

259 ml/1,000 ml = 259/1,000

= ²⁵⁹/₁₀₀₀

4) 60p as a decimal of ¢240

= 0.25 (60 ÷ 240)

5) 20 ÷ 4 = 5

4 x 5 = 20

6) The cost per orange =  ¢150

The number of oranges bought = 9

The total cost of 9 oranges = ¢1,350 (¢150 x 9)

7) The product of 35 and 12 = 420 (35 x 12)

8) The quantity of each unit = 180g

The total quantity = 1 kg

1 kg = 1,000 g

5.55 (1,000 ÷ 180)

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Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4​

Answers

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 55 and 145?

Answers

Approximately 99.4% of people have an IQ score between 55 and 145.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical rule that applies to data that is normally distributed. It states that:

- Approximately 68% of data falls within one standard deviation of the mean.

- Approximately 95% of data falls within two standard deviations of the mean.

- Approximately 99.7% of data falls within three standard deviations of the mean.

In this case, we are given that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. To find the percentage of people with an IQ score between 55 and 145, we need to find the number of standard deviations away from the mean that these scores are.

For an IQ score of 55, we have:

z = (55 - 100) / 15 = -3

For an IQ score of 145, we have:

z = (145 - 100) / 15 = 3

So, we can see that an IQ score of 55 is 3 standard deviations below the mean, and an IQ score of 145 is 3 standard deviations above the mean.

According to the empirical rule, approximately 99.7% of data falls within three standard deviations of the mean. Therefore, the percentage of people with an IQ score between 55 and 145 is approximately:

99.7% - (0.15% + 0.15%) = 99.4%

(Note that we subtracted the percentage of data that falls more than 3 standard deviations away from the mean, which is approximately 0.15% on either side.)

So, approximately 99.4% of people have an IQ score between 55 and 145.

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The lengths of two sides of a triangle are shown.
Side 1: 3x² - 4x-1
Side 2: 4x-x² + 5
The perimeter of the triangle is 5x³ - 2x² + 3x - 8.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)

Answers

Total length of the two sides of the triangle is 2x² + 4x + 4 and  length of the third side of the triangle is 5x³ - 5x² + 3x - 12.

The total length of the two sides of the triangle is the sum of Side 1 and Side 2:

(3x² - 4x - 1) + (4x - x² + 5)

2x² + 4x + 4

The total length of the two sides of the triangle is 2x² + 4x + 4.

The length of the third side of the triangle can be found by subtracting the sum of Side 1 and Side 2 from the perimeter of the triangle:

Perimeter - (Side 1 + Side 2)

(5x³ - 2x² + 3x - 8) - (3x² - 4x - 1 + 4x - x² + 5)

Combining like terms

5x³ - 5x² + 3x - 12

The length of the third side of the triangle is 5x³ - 5x² + 3x - 12.

The polynomials are closed under addition and subtraction by part A and part B because when we added Side 1 and Side 2, and when we subtracted their sum from the perimeter of the triangle, the resulting expressions were still polynomials with real coefficients.

Therefore, the sum and difference of polynomials with real coefficients are also polynomials with real coefficients.

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Which expression represents the LCM of 22 and 40? 2 23 23 · 5 · 11 24 · 5 · 11

Answers

Answer:

22 = 2 × 11

40 = 2 × 2 × 2 × 5

LCM of 22 and 40 = 2^3 × 5 × 11 = 440

Matt, a lifeguard, has to make sure that the pH of the swimming pool stays between 7.2 and 7.6. If the pH is out of this range, he has to add chemicals that alter the pH level of the pool. Matt measures the [H3O+] concentration in the swimming pool to be 2.40 x 10-9 moles/liter. (2 pts. each) a) What is the pH level of the pool? Round pH to the nearest tenth.

Answers

The pH level of the pool is determined as 8.6.

What is the pH of the pool?

The pH of a solution is a measure of its acidity or basicity. The pH scale ranges from 0 to 14, with a pH of 7 being neutral, less than 7 is acidic and above 7 is alkaline.

The pH of a solution can be calculated using the formula;

pH = -log[H₃O⁺]

where;

H₃O⁺ is the concentration of hydronium ions in moles per liter.

Using the measured [H₃O⁺] concentration of 2.40 x 10⁻⁹ moles/liter, we can calculate the pH of the swimming pool as follows;

pH = -log(2.40 x 10⁻⁹)

pH = 8.62

Therefore, the pH of the swimming pool is 8.6, rounded to the nearest tenth.

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Probability
There are 3 green markers, 6 yellow
markers, 4 red markers, and 12 blue
markers in a pencil box. A marker is
drawn, not replaced, then another
marker is drawn. Find each
probability.
a.) P(red, then blue)
b.) P(yellow, then green)
c.) P(both yellow)
d.) P(both blue)

Answers

Answer:

a) 2/25. b) 3/100. c) 1/20. d) 11/50.

Step-by-step explanation:

there are 3 + 6 + 4 + 12 = 25 markers

a) p(red) = 4/25. then p(blue) = 12/24.

4/25 X 12/24 = 2/25

b) p(yellow) = 6/25. then p(green) = 3/24.

6/25 X 3/24 = 3/100

c) p(yellow) = 6/25. p(2nd yellow) = 5/24

6/25 X 5/24 = 1/20

d) p(blue) = 12/25. p(2nd blue) = 11/24

12/25 X 11/24 = 11/50

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