Can anyone tell me what the correct answer for this is? Thank you.

Can Anyone Tell Me What The Correct Answer For This Is? Thank You.

Answers

Answer 1

Answer:

3x^2-5x-2

Step-by-step explanation:

(9x^3-18x^2-x+2)÷(3x-1)

[9x^2(x-2)-(x-2)]÷(3x-1)

[(x-2)×(9x^2-1)]÷(3x-1)

(x-2)×(3x-1)×(3x+1)÷(3x-1)

(x-2)×(3x+1)

3x^2-x-6x-2

3x^2-5x-2


Related Questions

The value of a parcel of land bought for speculation is increasing according to the formula V(t)=60e
If the interest rate is 5 percent, how long should the parcel be held to maximize present value?

Answers

To determine the time needed to maximize the present value of the parcel of land, we need to find the time at which the derivative of the present value function is equal to zero.

The present value of the land, V(t), is given by the formula V(t) = 60e^(0.05t), where t represents time. To maximize the present value, we need to find the value of t that makes the derivative of V(t) equal to zero.

Taking the derivative of V(t) with respect to t, we get dV(t)/dt = 0.05 * 60e^(0.05t). Setting this derivative equal to zero and solving for t, we have:

0.05 * 60e^(0.05t) = 0

Dividing both sides by 0.05, we get:

e^(0.05t) = 0

Since the exponential function e^(0.05t) is always positive, it can never  be equal to zero. Therefore, there is no time at which the derivative is zero, and the present value function does not have a maximum. In other words, the present value of the land will continue to increase indefinitely as time goes on.

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May bought groceries for $20.00 and four board games. Mai paid $108.00 for the entire purchase. How much did Mai pay for one board game?
A. $44.00
B. $22.00
C. $20.00
D. $108.00

Answers

Answer:

She paid it for 22 dollars.

Step-by-step explanation:

First, let's subtract 20 from 108 since we know Mai bought this in total.

108 - 20 = 88

Then, let's divide by 4 because we know there are 4 board games in total.

88/4 = 22.

This means that she paid 22 dollars for it. I hope this helps, I hope it's not wrong, but I don't think it is.

What is the correct format for coordinates?

Answers

Correct format for cartesian and polar coordinates are given by (x, y) and (r, Ф) respectively.

What are the major two coordinate system?

In mathematics there are major two coordinate system these are cartesian and polar system. By using coordinate systems, the location of a point in the space is identified with respect to some reference axis or reference direction.

What means format?

Format implies the specific pattern of arrangement. In mathematics, the word formats indicate the proper layout of mathematical expression or graphical representation.

What is the correct format of two coordinates?

In the cartesian system location of a point is identified by the distance of two reference axis and expressed in a numerical coordinate such as (-4 9) where -4 is the X coordinate and distance from Y axis. And the Y coordinate is 9 and the distance from the X axis.

Hence, correct format for graphical representation of a point by using cartesian system is (x, y). A point is identified by two number bounded by a parenthesis.

In the other hand, in the polar system, the location of a point is denoted by (r, Ф)

where r = distance from origin

Ф = angle created by distance r with the horizontal axis

relation between two system

r = √(x²+y²)

Therefore, correct format for graphical representation of a point in the polar system is (r, Ф). A point is located by a number and angle either in degree or radians also bounded by a parenthesis.

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(09.07 LC) In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known to be approximately normal with a standard deviation of 12 beats per minute. What is the 99% confidence interval for the mean beats per minute? (6 points)
A. 68.9-76.3
B. 70-72
C. 61.2-72.8
D. 68-72​

Answers

The answer is B. 70-72!

4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =

Answers

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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A 3-column table with 4 rows. The first column labeled Stage has entries 1, 2, 3, 4. The second column labeled Mass of Earth (kilograms) has entries 5. 97 x 10 superscript 24, 5. 97 x 10 superscript 24, 5. 97 x 10 superscript 24, 5. 97 x 10 superscript 24. The third column labeled Mass of Star (kilograms) has entries 1. 8 x 10 superscript 30, 2. 7 x 10 superscript 27, 5. 0 x 10 superscript 25, 4. 5 x 10 superscript 23. Suppose for an unexplained reason a star near Earth started shrinking. At what stage is the gravitational force between Earth and the star the greatest? Stage 1 Stage 2 Stage 3 Stage 4.

Answers

Answer: stage 1

Step-by-step explanation:

It is labeled with the state number one, since all of them are si metric numbers 

The marginal cost for a company to produce q items is given by MC(q)=0.004q ^2−0.8q+625. The company's fixed costs are 58500 The cost at a production level of 10 items is $ (Round answer to nearest tenth.)

Answers

The marginal cost at a production level of 10 items is $617.4. The cost at a production level of 10 items is approximately $59117.4.

To find the cost at a production level of 10 items, we need to consider both the marginal cost and the fixed costs.

The marginal cost function is given by:

\(MC(q) = 0.004q^2 - 0.8q + 625\)

To find the cost at a production level of 10 items, we can substitute q = 10 into the marginal cost function:

\(MC(10) = 0.004(10)^2 - 0.8(10) + 625\)

Simplifying the expression:

MC(10) = 0.004(100) - 8 + 625

MC(10) = 0.4 - 8 + 625

MC(10) = 0.4 + 625 - 8

MC(10) = 625.4 - 8

MC(10) = 617.4

So, the marginal cost at a production level of 10 items is $617.4.

To find the total cost, we need to add the fixed costs to the marginal cost:

Total Cost = Fixed Costs + MC(10)

Total Cost = 58500 + 617.4

Total Cost = 59117.4

Therefore, the cost at a production level of 10 items is approximately $59117.4.

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The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individually. Yesterday, she bought the same number of water bottles as candy bars to sell at the snack bar. If she bought the lowest number of items possible, how many packs of each item did she buy?

Answers

\(\Huge\bf{\underline{\red \dag { Aиѕωєя }}} \red \dag\)

4 Packs of water and 7 Packs of candy bars.

So, we wanna know the smallest number that both 35 and 20 will go into.

Find the Least Common Multiple (LCM), but to find the LCM we need to find the prime factorization of each of the following number :-

\( \sf {35 = 5(7)}\)

\( \sf \red {20 = 5(4)}\)

\( \sf {4 = 2(2)}\)

\( \sf \red {20 = 5(2)(2)\)

~Now multiply all the numbers by 5 :-

\( \sf \pink{5(7)(2)(2) = 35(2)(2) = 70(2) = 140}\)

This means she needs 140 bottles of water and 140 candybars.

Water is sold in packs of 35, this means that she needs :

\( \sf \orange{ \frac{140}{35} = 4\: packs \: of \: water}\)

Candy bars are sold in packs of 20, this means she needs :

\( \sf \green{ \frac{140}{20} = 7 \: packs \: of \: candy \: bars}\)

_________________________

Isabell will rent a car for a day. The rental company offers two pricing options: Option A and option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below. It’s Isabell drive the rental car 200 miles which option cost more?How much more does it cost than the other option?For what number of miles driven do the two options cost the same?If Isabell drives more than this amount, which option cost more?

Isabell will rent a car for a day. The rental company offers two pricing options: Option A and option

Answers

From the graph of miles driven and pricing, it can be observed that for 200 miles option A price is $100 and option B price is $70.

So option A cost more than option B.

Determine the difference between $100 and $70 to obtain how much option A cost more than option B.

\(100-70=30\)

So option A cost $30 more than option B.

From the graph, it can be observed that lines of option A and option B intersect each other at (50,40). So option A and option B cost same for 50 miles.

Q1: For a process, the process capability index can never be greater than the process capability ratio when using the same tolerances and process standard deviation.
a. True
b. False
Q2: Which of the following statements about learning curves is best?
a. Underestimated learning effects may cause overestimation of capacity needs.
b. Learning improvements always follows a consistent pattern.
c. An 80% learning curve means that each unit takes 20% less time than its immediate predecessor.
d. None of these are correct.
e. Frequent design changes and reengineering have no effect on learning rates.
Q3: Activities that take place closer to the customer are called upstream activities.
a. True
b. False

Answers

1) The statement is False

2) correct answer is a. Underestimated learning effects may cause overestimation of capacity needs.

3) The statement is False

Q1: False

The process capability index (Cpk) can be greater than the process capability ratio (Cp) when the process is centered within the tolerance limits.

Q2: a. Underestimated learning effects may cause overestimation of capacity needs.

This statement highlights the potential impact of underestimating the learning effects on capacity needs, which can lead to overestimation.

Q3: b. False

Activities that take place closer to the customer are called downstream activities, not upstream activities. Upstream activities refer to processes that occur earlier in the production or service delivery process.

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Two consecutive integers have a sum of 107. Find the integers.

Answers

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

Must click thanks and mark brainliest

Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

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

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.

100bbl/ day of oil is flowing in a 2 inch inner diameter wellbore with pipe relative roughness of 0.001. The oil has density of 48lbm/ft 3 and viscosity of 1.8cp. The wellbore is deviated 15 degrees from horizontal flow and has length of 6,000ft. The bottom hole flowing wellbore pressure is 2,200psi.
a) Obtain the potential pressure drop in the wellbore (psi).
b) Determine the frictional pressure drop in the wellbore (psi).
c) If there is also gas flowing in the wellbore at 150ft 3 / day covering 20% of the total pipe volume, calculate the in-situ oil velocity (ft/s).
d) For case (c), determine the flow regime of the two-phase flow.

Answers

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 91 m. What is
the volume of the pyramid?

Answers

Answer:

14014

Step-by-step explanation:

base of stone pyramid=154

height=91

b×h

154×91=4014



b) Write down one more advantage or disadvantage for each of open and closed
questions.
C
stly cloudy
They produce a wide range of results
that can be hard to interpret
They allow people to respond
however they want
Advantage
Disadvantage
Open questions
A
с


They are quick and easy to answer
They stop people from giving
detailed answers

Closed questions
B
D
Aqsa labassum
ENG
UK
Answer
4x9

Answers

Open questions:

Advantage: They allow for in-depth and detailed answers which provies more comprehensive understanding of the respondent's perspective.Disadvantage: They may require more time and effort to answer which can be a deterrent for some people.

Closed questions:

Advantage: They are precise and easy to answer which makes them ideal for gathering specific information quickly.Disadvantage: They may limit the scope of responses and prevent people from providing additional information or elaborating on their answers.

What is difference between Open and Closed questions?

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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What is the value of x in the equation 2.5 minus 0.25 x = negative 3

Answers

Answer:

-22

Step-by-step explanation:

Tri-County G\$T selis 150,000 MWh per yeat of electrical power to Boulder at $80 per MWh, has fixed costs of $80.1 milion per yoar, and has varistele costs of $20 por MWh. If Tri-County has 1,000,000MW h of demand from its customers (other than Boulder), what will Tri-County have to charge to break even? Tri-County wit have to charge? to break oven. (Enter your response rounded to the nearest penny.)

Answers

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

it either d or b

Step-by-step explanation:

Please help with this
Take your time​

Please help with this Take your time

Answers

Answer: 2.5

Step-by-step explanation:

What is the slope y =- 5x 3?

Answers

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Sweats--Coach Tis looking for new sweatpants at Tarjay. He sees that Mikey brand sweatpants are $49.99 each but they are 15% off with a teacher discount. What final price does Coach pay for one new pair? (You should round to the nearest cent) "The final price Coach pays is..."​

Answers

Answer:

your english is very bad

Step-by-step explanation:

Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30). Which statement describes the function through the points?

Answers

Answer:

The function is a direct variation function with a constant of variation of 1.5.

Step-by-step explanation:

I just took the test :/

Answer:

The function is a direct variation function with a constant of variation of 1.5.

Step-by-step explanation:

(If a man has mass of 60 kg on the surface of the earth, what will be the mass on the surfaceof the moon? If your weight is 400 N on the earth'ssurface, how far should you go from the earth's surface soyour weight becomes one fourth? (Radius of the earth =Ans: 10 kg, 6.4 x 10 m 6400 km)​

Answers

Answer:

Step-by-step explanation:

The mass of a person on the surface of the moon is approximately one sixth of their mass on the surface of the Earth. Therefore, the mass of the person on the surface of the moon would be 10 kg.

The force of gravity on the surface of the Earth is 9.8 N/kg. To find the distance from the surface of the Earth that the person must travel to experience a weight of one fourth of 400 N, we can use the formula Force = Mass x Acceleration. Rearranging the equation to solve for distance, we get: Distance = Force/Mass x Acceleration. Plugging in the values, we get: Distance = 400/60 x 9.8 = 6400 km.

suppose y = 2x 1 , where x and y are functions of t. (a) if dx/dt = 12, find dy/dt when x = 4.

Answers

Using differentiation on  y = √(2x + 1), dy/dt = -8

What is differentiation?

Differentiation is the process of finding the derivative of a function.

Since  y = √(2x + 1)  where x and y are functions of t. (a) if dx/dt = 12, we need to find dy/dt when x = 4.

So, we differentiate y with respect to t

So,  y = √(2x + 1)

Let u = 2x + 1

So, y = √u

dy/dt = d√u/dt

= d√u/du × du/dx × dx/dt

= -1/√u × 2 × dx/dt (since du/dx = d(2x + 1)/dx = 2)

= -2/√u × dx/dt

= -2/√(2x + 1) × dx/dt

Given that

x = 4 and dx/dt = 12

Substituting the values of the variables into the equation, we have that

dy/dt = -2/√(2x + 1) × dx/dt

= -2/√(2(4) + 1) × 12

=  -24/√(8 + 1)

= -24/√9

= -24/3

= -8

So, dy/dt = -8

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The question is incomplete. Here is the complete question

Suppose y = √(2x + 1) , where x and y are functions of t. (a) if dx/dt = 12, find dy/dt when x = 4.

3x+4=-4+3x how many solutions

Answers

It doesn’t have solution so the answer is No Solution

How long will it take a sample of radioactive substance to decay to half of its original
amount, if it decays according to the function A(t) = 500e-204t, where t is the time in years?
Round your answer to the nearest hundredth year.

Answers

Therefore, it will take approximately 0.34 years for the substance to decay to half of its original amount, rounded to the nearest hundredth year.

What is function?

A function is a rule that assigns to each input value (or argument) from a set called the domain, a unique output value (or result) from a set called the range. The function is usually denoted by a symbol such as f(x), where "f" is the name of the function and "x" is the input value.

A function can be visualized as a mapping between two sets, where each element of the domain is paired with exactly one element of the range. This mapping can be represented graphically by a plot of the function, which shows how the output values change as the input values vary.

The amount of a radioactive substance at a given time t is given by the function \(A(t) = A_{0} e^{(-kt)}\), where A₀ is the initial amount and k is the decay constant. In this case, we are given A₀ = 500 and k = 2.04.

To find the time it takes for the substance to decay to half of its original amount, we need to solve the equation:

\(A(t) = 0.5A_{0}\)

Substituting the given values, we get:

\(0.5A_{0} = 500e^{(-2.04t)}\)

Dividing both sides by 500, we get:

\(e^{(-2.04t)} = 0.5\)

Taking the natural logarithm of both sides, we get:

\(-2.04t = ln(0.5)\)

Solving for t, we get:

\(t = -ln(0.5)/2.04\)

Using a calculator, we get:

t ≈ 0.34

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y=-7x-1
Can you help me please, I need to graph it
thank you in advance

Answers

Answer:

The dots shown in the graph are the answers.

Step-by-step explanation:

y=-7x-1Can you help me please, I need to graph itthank you in advance
y=-7x-1Can you help me please, I need to graph itthank you in advance

Answer: (-0.25, .75)

What is the slope of a line perpendicular to the line whose equation is 6x + y = 8.
Fully simplify your answer.

Answers

Answer:

1/6

Step-by-step explanation:

y = -6x + 8

Perpendicular line would be the reciprocal of the slope

dy Use implicit differentiation to determine dx dy dx || given the equation xy + e* = e.

Answers

The expression for dx/dy is \((e^y - x) / y\). Implicit differentiation allows us to find the derivative of a function that is not explicitly defined in terms of a single variable.

To determine dx/dy using implicit differentiation, we need to differentiate both sides of the equation \(xy + e^x = e^y\) with respect to y.

Differentiating the left side, we use the product rule:

\(d/dy(xy) + d/dy(e^x) = d/dy(e^y)\).

Using the chain rule, d/dy(xy) becomes x(dy/dy) + y(dx/dy).

The derivative of \(e^x\) with respect to y is 0, since x is not a function of y. The derivative of \(e^y\) with respect to y is e^y.

Combining these results, we have:

x(dy/dy) + y(dx/dy) + 0 = \(e^y\).

Simplifying, we get:

x + y(dx/dy) =\(e^y\).

Finally, solving for dx/dy, we have:

dx/dy = \((e^y - x) / y\).

So, the expression for dx/dy is \((e^y - x) / y\). Implicit differentiation allows us to find the derivative of a function that is not explicitly defined in terms of a single variable.

It involves differentiating both sides of an equation with respect to the appropriate variables and applying the rules of differentiation. In this case, we differentiated the equation \(xy + e^x = e^y\) with respect to y to find dx/dy.

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Complete Question:

Use implicit differentiation to determine dx/dy given the equation \(xy + e^x = e^y\)

the midterm and final exam grades for a statistics course are provided in the data set below. jaymes, a student in the class, scored 86 on both exams. treat the given data sets as samples. which of jaymes's grades is more unusual, the midterm grade or the final exam grade? explain. use excel to calculate the z-scores.

Answers

The midterm grades is the grade that is more unusual

How to solve for the z score

for the midterm

the mean = 80 + 78 + 85 + 82 + 79 +79 + 78 + 86 + 80 + 84 / 10

= 81.1

Then the standard deviation is

Variance = [(80-81.1)² + (78-81.1)² + (85-81.1)² + (82-81.1)² + (79-81.1)² + (79-81.1)² + (78-81.1)² + (86-81.1)² + (80-81.1)² + (84-81.1)²] / 10

sd = 2.961

z = 86-81.1/2.961

= 1.66

For the final

Mean = (81 + 88 + 68 + 69 + 69 + 81 + 82 + 86 + 76 + 71) / 10

= 771 / 10

= 77.1

Therefore, the mean of the given numbers is 77.1.

To find the standard deviation, we first need to find the variance. The variance is calculated by finding the average of the squared differences between each number and the mean:

Variance = [(81-77.1)² + (88-77.1)² + (68-77.1)² + (69-77.1)² + (69-77.1)² + (81-77.1)² + (82-77.1)² + (86-77.1)² + (76-77.1)² + (71-77.1)²] / 10

SD = 7.490

z= (86-77.1) / 7.490 = 1.188

Given that 1. 66 is greater that 1.188, we would have to conclude that the midterm is more unusual

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Complete question

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Jaymes's wants to know which grade is more unusual, the midterm grade or the final exam grade. Use Use a TI-83, TI-83 Plus, or TI-84 calculator to calculate the z-scores corresponding to each grade. Round your answer to three decimal places.

Midterm 80, 78, 85, 82, 79, 79, 78, 86, 80, 84,

final 81, 88, 68, 69, 69, 81, 82, 86, 76, 71

find the area (in square feet) of a trapezoid with height $h$h and bases $b_1$b1 and $b_2$b2 . h=6

b1=9
b2=12

The area is
square feet.

Answers

Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)

The area of the trapezoid is given by the formula,

\(\[A = \frac{1}{2}h(b_1+b_2)\]\)

Substitute the given values,  

\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)

Simplifying the above expression,

\(\[A = 45 \text{ square feet}\]\)

Therefore, the area of the trapezoid is $45$ square feet.

The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.

The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.

Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.

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