Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The

means of the samples are shown below.

Sample

Sample 1

Sample 2

Sample 3

Sample 4

Sample 5

Mean

3.4

3.2

4.1

4.6

3.1

The predicted mean of the population will fall between

3.1 and

15

Answer:108

Step-by-step explanation:

You would need to value your time at X dollars per hour to be indifferent between the two choices.

To determine the hourly rate at which you would be indifferent between taking the ride-share and the bus, we need to consider the cost of the ride-share, the time saved, and the value you place on your time.

1. Calculate the cost per minute of the ride-share: Divide the cost of the ride-share ($8) by the time saved (30 minutes) to find the cost per minute.

2. Calculate the value of your time per minute: Determine how much you value your time per minute. Let's say this value is Y dollars.

3. Calculate the cost of the bus trip: Since the bus trip is free with a student ID, the cost is zero.

4. Calculate the time spent on the bus: Since the ride-share saves you 30 minutes compared to the bus, the time spent on the bus is 30 minutes.

5. Calculate the cost of the bus per minute: Divide the cost of the bus trip (zero) by the time spent on the bus (30 minutes) to find the cost per minute.

6. Set up an equation: Equate the cost per minute of the ride-share (from step 1) to the cost per minute of the bus (from step 5) plus the value of your time per minute (Y dollars).

7. Solve for Y: Solve the equation from step 6 to find the value of Y, which represents the hourly rate at which you would be indifferent between the ride-share and the bus.

By following these steps and performing the calculations, you will determine the hourly rate at which you would be indifferent between taking the ride-share and the bus.

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The correct order for constructing a line segment whose length is equal to the sum of two given line segments is: i, ii, iii, iv, v, option C.

To construct a line segment whose length is equal to the sum of the lengths of two given line segments AB and CD, the following steps should be followed:

(i) Draw two line segments AB and CD using a ruler.

(ii) Take a line L.

(iii) Let PM be the required line segment.

(iv) Use a compass to cut a line segment PQ on line L, equal in length to AB.

(v) From point Q, cut a line segment QM equal in length to CD.

The correct order of these steps is: i, ii, iii, iv, v. This ensures that the line segments are drawn and the necessary lengths are obtained in the correct sequence, resulting in a line segment PM equal to the sum of AB and CD.

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Ok, I'll try, the picture is below.

Answer:

1/10

Step-by-step explanation:

-3/10+4/10=4/10-3/10

                =1/10

Answer:

Step-by-step explanation:

I am assuming you want to factor these functions

G= -x^2 - 2xy - y^2

  =  -(x^2 + 2xy + y^2)

We need 2 terms whose product is y^2 and whose sum is +2xy

- they are  + x and + y

  = - (x + y)(x + y)

  = -(x + y)^2

The other functions are worked out in the same way:

K =  x^2 + 4y^2 + 4xy

  = (x  + 2y)(x + 2y)

  = (x + 2y)^2

H = 4x^2 - 12xy + 9y^2

   = (2x - 3y)^2

L= 25 - 10 + y^2

 = (5 - y)^2

M =  10y^4 + 25x^6 +y^8

    - this is prime  (no factors)

Answer:

  ₹168 per hour

Step-by-step explanation:

The hourly rate at which Tamara is paid can be found by dividing her ₹1050 pay by the 6:15 hours that she worked.

We know there are 60 minutes in an hour, so the fraction of an hour represented by 15 minutes is ...

  (15 min)/(60 min/h) = (15/60) h = 1/4 h = 0.25 h

Added to the 6 whole hours Tamara worked, her pay is for 6.25 hours.

The pay per hour is found by dividing pay by hours.

  ₹1050/(6.25 h) = ₹168/h

Tamara's hourly rate of pay is ₹168 per hour.

The future GDP of Country H in 4 years, with an annual growth rate of 30%, starting from its present GDP of $689, will be approximately $2,250. This can be solved by the concept of compound interest.

To calculate the future GDP of Country H, we need to use the compound interest formula:

A = P(1 + r/n)^(nt)

where A is the future value, P is the present value, r is the annual growth rate, n is the number of times the interest is compounded in a year, and t is the time period.

In this case, P = $689, r = 30%, n = 1 (since the growth rate is annual), and t = 4 (since we want to find the future GDP in 4 years). Therefore, the formula becomes:

A = $689(1 + 0.30/1)^(1*4)

A = $689(1.30)^4

A = $2,248.98

Rounding this to the nearest whole number gives us a future GDP of approximately $2,250.

Therefore, the answer is: Future GDP = $2,250

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Answer:

9.93

Step-by-step explanation:

Just add your tax to your price.

An architect uses geometry  to charge for their design to design the floorplan of a sructure.

Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.

The shapes and sizes used in the architect’s design are often possible due to mathematical principles.

An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.

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Answer:

to design the floorplan of a structure

Step-by-step explanation:

Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.

Answer:

(1/3)^-2 = 9

Step-by-step explanation:

The negative power in this equation tells you to flip the fraction and get rid of the negative symbol. This becomes 3^2 which is 9.

One way to increase the probability of identifying the optimal decision when using a simulation is to increase the number of iterations or trials in the simulation.

Simulation is a powerful tool for modeling and analyzing complex systems or processes where there are many variables and uncertainties involved. However, the accuracy and reliability of the simulation results depend on the number of iterations or trials used in the simulation. The more trials or iterations are performed, the more accurate the simulation results are likely to be, and the higher the probability of identifying the optimal decision.

Therefore, to increase the probability of identifying the optimal decision in a simulation, one should increase the number of trials or iterations in the simulation. This means running the simulation multiple times with different input values or scenarios and recording the results for each run. By analyzing the results of multiple simulation runs, one can identify patterns, trends, and optimal decisions that are robust and reliable across different scenarios and conditions.

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9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. If s is the number of programs sold for $0.45 each, then the contribution to Devon's pay (p) from selling programs is 0.45s. The per-game pay is added to that to give Devon's total pay:

  p = 0.45s + 40 . . . . . matches choice A

__

7. If Robert earns $25 per hour for x hours in tips, his tip pay is 25x. The flat rate is added to that to give the amount Robert makes:

  y = 25x + 40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This description matches B and C only, choice E.

The minimum required sample size is 47 as it is very important for safety, the 99% confidence interval needs to have a margin smaller than 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval margin of 0.06, we can use the formula:

Margin of error = z* (standard deviation / sqrt(sample size))

where z is the z-score for the desired confidence level, which for a 99% confidence interval is 2.576.

Plugging in the given values, we get:

0.06 = 2.576 * (0.25 / sqrt(sample size))

Solving for the sample size, we get:

sample size = (2.576 * 0.25 / 0.06)^2

sample size = 89.59

Rounding up to the nearest whole number, the minimum required sample size is 90.

Therefore, we need to take a sample of at least 90 roof hangers to estimate the mean tensile strength with a 99% confidence interval margin of 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval and a margin of error smaller than 0.06, you'll need to determine the minimum required sample size.

For a 99% confidence level, the Z-score (critical value) is approximately 2.576.

The known standard deviation is 0.25. The desired margin of error is less than 0.06. Use the formula:

Margin of Error = Z-score * (Standard Deviation / sqrt(Sample Size))

Rearrange the formula to find the sample size:

Sample Size = (Z-score * Standard Deviation / Margin of Error)^2

Sample Size = (2.576 * 0.25 / 0.06)^2

Sample Size ≈ 46.24

Since you cannot have a fraction of a sample, round up to the nearest whole number. The minimum required sample size is 47.

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Answer:

\(y = \sqrt{x+25} + 5\)

Step-by-step explanation:

Swap x and y

x = y² – 10y

Add 25 to each side to complete the square

x + 25 = y² – 10y + 25

Factor

x + 25 = (y – 5)²

Take the square root of each side

\(\sqrt{x+25}\) = y – 5

Add 5 to both sides

\(\sqrt{x+25}\) + 5 = y

The volume of the solid of revolution is 682.67 cubic units. Option A is the correct answer. To find the volume of the solid of revolution, we need to use the formula:

V = π∫[a,b] f(x)^2 dx

where f(x) is the function that bounds the region, and a and b are the limits of integration. In this case, f(x) = 4(4-x) and a = 0, b = 4.

Now, we need to revolve this region about the y-axis. This means that each horizontal slice of the region will form a cylinder of radius y and height dx. Since the region is bounded by the x-axis and the function f(x), the radius of each cylinder will be f(x), and the height will be dx.

Therefore, the volume of each cylinder is:

dV = πy^2 dx = πf(x)^2 dx

Integrating this expression over the limits [0,4], we get:

V = π∫[0,4] f(x)^2 dx
 = π∫[0,4] 16(4-x)^2 dx
 = π∫[0,4] 256 - 128x + 16x^2 dx
 = π[256x - 64x^2 + (16/3)x^3] from 0 to 4
 = π[2048/3]
 = 682.67 cubic units (approx)

Therefore, the volume of the solid of revolution is 682.67 cubic units. Option A is the correct answer.

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Answer:1,4,5

Step-by-step explanation:

Answer: Total surface area of cuboid = 312 sq m

Step-by-step explanation:

Let the length of the cuboid be " X "

Then the breadth of it will be X/4

and the hight of it will be X × 2/3

So the volume will be

= L × B × H

= X × X ÷4 × X× 2÷3

2 X ^ 3

= --------------

12

X^3

= ------------- = 288

6

X^3 = 288 × 6 =1,728

X = cuberoot 1,728

= 12

Length 12

Breadth 12÷4 = 3

Hight 12 × 2 ÷3 = 8

Total surface area of cuboid

= 2 LB +2 BH +2 LH

= 2× 12× 3 + 2× 3 × 8 + 2× 12 × 8

= 312 sq m

Answer:

k = 4

Step-by-step explanation:

y = kx. When x = 2, y = 8

8 = 2k

\(\frac{8}{2}\) = \(\frac{2k}{2}\)

4 = k

As per the power rule of exponents, the solution of 3 to the power of 3 is 27.

The term exponent in math is defined as a number shows how many times the number is multiplied by itself.

Here we have to solve 3 to the power of 3.

Here according to the Power Rule of Exponents then we have the rule as

=> aⁿ = a × a × a... (n times)

Therefore, the given expression is written as

=> 3³

Now, based on the power of exponent rule it can be rewritten as,

=>  3 × 3 × 3

Then we have to multiply the values then we get

=> 27

Therefore, the value of 3 raised to 3rd power is 27.

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Answer:

C f(4)

Step-by-step explanation:

the answer is C f(4)

1/2*4=2

2+8=10

f(4)=10

Answer:

c

Step-by-step explanation:

The big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To give a big-O estimate for the number of operations used in a segment of an algorithm, we need more specific information about the segment and its complexity. Big-O notation provides an upper bound on the growth rate of the algorithm as the input size increases.

If the segment involves a loop that iterates n times, and each iteration performs a constant number of operations (additions or multiplications), then the complexity would be O(n). This means that the number of operations increases linearly with the input size.

However, without further details about the specific segment or the algorithm's overall structure, it is challenging to provide a more accurate estimation. The complexity analysis requires examining the code's control flow and considering factors such as nested loops or recursion.

In summary, the big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

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Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 \(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

 \(\bold{Solution~Steps:}\)

\(1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:\)

\(2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:\)

______________________________

 \(\bold{Answers:}\)

______________________________

 \(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}\)

The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period. To create a balance sheet gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. To determine whether there has been an increase or decrease compare the net income figure from a previous period with the net income figure from the current period

1) To prepare a projected income statement for the year ending November 20, sora, you would need to gather information about the revenues and expenses expected during that period. The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period.

2) To create a balance sheet as of November 30, 2oya, you will need to gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. The balance sheet provides a snapshot of the company's financial position, showing what it owns, owes, and the remaining equity.

3) To determine whether there has been an increase or decrease in the amount of net income, you would need to compare the net income figure from a previous period (presumably November 20, sora) with the net income figure from the current period (ending November 30, 2oya). If the net income has increased, it means the company has generated more profit during the current period compared to the previous one. Conversely, if the net income has decreased, it indicates a decline in profitability.

Overall, the task involves preparing a projected income statement and balance sheet and analyzing the change in net income to assess the company's financial performance.

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Answer:

The inequality that would represent the possible values for the number of hours lifeguarding, l, and the number of hours walking dogs, d, that Katherine can work in a given week is:

l + d ≤ 14

This is because the sum of the hours worked in both jobs should not exceed 14 hours.

Answer:

8.98 x 10^6

Step-by-step explanation:

To be in scientific notation, the number has to be between 1 and 10 then the 10^# has to be present.

If Jackson invested $320 in an account paying an interest rate of 3. 2% compounded continuously, assuming no deposits or withdrawals are made, it would take: 3.37 years

for the value of the account to reach $410

To solve this problem, we can use the formula for continuously compounded interest:

where A is the final amount, P is the initial amount (320), r is the interest rate (3.2%), and t is the time in years.

Solving for t, we get:

Plugging in the values, we get:

Approximating this, we get:

So it would take about 3.4 years for the value of the account to reach $410.

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