Calvin wants to sell a basic badminton kit to his friends. In that kit, he puts two rackets worth ₹140₹140₹, 140 each and a shuttlecock worth ₹80₹80₹, 80. He wants to have a profit of 25\%25%25, percent?

The correct option is D, Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population Mean.

The Central Limit Theorem (CLT) is a fundamental concept in probability theory and statistics. It states that if you take repeated random samples of a population, the sample means will follow a normal distribution, regardless of the shape of the population distribution, provided the sample size is large enough. This means that as the sample size increases, the sample mean becomes more and more normally distributed.

The CLT is important because it helps us to understand the properties of large samples, even when the population is not normally distributed. It is used in many areas of research, including social sciences, finance, engineering, and more. The theorem provides a powerful tool for estimating population parameters, such as the mean or variance, and for testing hypotheses about them. It also helps to explain why the normal distribution is so commonly observed in real-world data, and why it is often used as a model for statistical analysis.

To learn more about Central Limit Theorem visit here:

brainly.com/question/30764658

#SPJ4

Complete Question:-

Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population:

a. Standard deviation divided by n

b. Mean divided by n

c. Standard Deviation divided by the square root of n

d. Mean

A  player who has played first base for ten years in the majors to have a predicted salary of $700,000 per year

The predicted salary for a player whose position is first base and has played for 10 years in the majors leagues can be found by using the regression equation. Since the regression equation is not given, the solution to this problem cannot be determined with certainty.

However, the general formula for the regression line is:y = a + bx, where y is the predicted variable, x is the independent variable, a is the y-intercept, and b is the slope of the line.

However, if we suppose that the regression equation is:y = 200000 + 50000x, where y is the player's salary and x is the number of years they have played in the majors, then we can substitute x = 10 to get:

y = 200000 + 50000(10) = $700000

Therefore, if we use this equation to make predictions, we would expect a player who has played first base for ten years in the majors to have a predicted salary of $700,000 per year (rounded to the nearest dollar).

Learn more about predictions:

brainly.com/question/4695465

#SPJ11

Answer: the measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. this means that the angles of the polygon are preserved as the figure is translated in any direction

Answer:

The opposite sides of quadrilateral ABCD have equal slopes, which means the opposite sides are parallel. Therefore, by definition, quadrilateral ABCD is a parallelogram.

Plato

The cell in the "Purchased" column under the "Blue Raspberry" row would be filled with 201.The cell in the "Purchased" column under the "Cherry" row would be filled with 187.

 A two-way table, also known as a contingency table or cross-tabulation, is a way to organize categorical data by creating a table with two variables. In this case, the two variables would be the snowball flavor (blue raspberry or cherry) and the customer's purchase decision (purchased or did not purchase).

Here's how the two-way table would look based on the given data:

                          Purchased                    Did Not Purchase                Total

Blue Raspberry         201                                    ?                                 201 + ?

Cherry                         187                                    ?                             187 + ?

Total                          201 + 187                           24                             324

In the table, the rows represent the snowball flavors (Blue Raspberry and Cherry), and the columns represent the purchase decision (Purchased and Did Not Purchase). The last row and column represent the total counts for each variable.

To fill in the table, we know that 201 customers purchased Blue Raspberry snowballs and 187 purchased Cherry snowballs. Additionally, 24 customers did not make a purchase. Since the total number of customers is given as 324, we can fill in the missing values by subtracting the known counts from the total.

So, in the table:

The cell in the "Purchased" column under the "Blue Raspberry" row would be filled with 201.

The cell in the "Purchased" column under the "Cherry" row would be filled with 187.

The cell in the "Did Not Purchase" column under the "Blue Raspberry" row would be filled with the difference between the total count of Blue Raspberry purchases (201) and the total customer count (324), which is 123.

The cell in the "Did Not Purchase" column under the "Cherry" row would be filled with the difference between the total count of Cherry purchases (187) and the total customer count (324), which is 137.

The two-way table allows us to see the relationship between the snowball flavor and the purchase decision and helps in calculating probabilities and analyzing the data more easily.

for more such question on Purchased visit

https://brainly.com/question/28717901

#SPJ11

Answer: 0.15

Step-by-step explanation: 1.20 Divided by 8 = 0.15

To calculate the standard deviation for this situation, you need to use the formula for the standard deviation of a triangular distribution. In this case, the pessimistic estimate is 9 days, the optimistic estimate is 4 days, and the most likely estimate (also known as the mode) can be found by taking the average of the pessimistic and optimistic estimates.

Mode = (Pessimistic estimate + Optimistic estimate) / 2
     = (9 + 4) / 2
     = 13 / 2
     = 6.5

Now, you can calculate the standard deviation using the following formula:

Standard Deviation = (Pessimistic estimate - Optimistic estimate) / (6 * (Mode - Optimistic estimate))
                  = (9 - 4) / (6 * (6.5 - 4))
                  = 5 / (6 * 2.5)
                  = 5 / 15
                  = 1/3

So, the standard deviation is 1/3.

In conclusion, the standard deviation for this scenario is 1/3.

To know more about  standard deviation visit

https://brainly.com/question/13498201

#SPJ11

Answer:

Volume of prop = 706.5 in³

Step-by-step explanation:

Given:

Radius = 5 in

Height = 17 in

Find:

Volume of prop

Computation:

Volume of prop = Volume of cone + Volume of hemi-sphere

Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³

Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³

Volume of prop = 444.83 + 261.67

Volume of prop = 706.5 in³

To determine the optimal feed mix that minimizes cost while meeting the protein and starch requirements for each cow, we can formulate a linear programming problem.

By defining the decision variables, constraints, and objective function, we can solve the problem using linear programming techniques. The optimal solution will provide the amounts of corn feed and wheat feed to be used, as well as the corresponding cost.

Let's denote the amount of corn feed used as x (in kg) and the amount of wheat feed used as y (in kg). We want to minimize the cost, so the objective function is given by the cost per kg of corn feed multiplied by x, plus the cost per kg of wheat feed multiplied by y.

The constraints for protein and starch requirements can be expressed as follows:

For protein: 100x + 150y ≥ 650 (minimum protein requirement)

For starch: 750x + 700y ≥ 4000 (minimum starch requirement)

Additionally, we have the constraint that each cow should be fed at most 7 kg of feed per day: x + y ≤ 7.

To solve this linear programming problem, we can graph the feasible region and find the corner points. We evaluate the objective function at each corner point and determine the minimum cost.

Solving the problem, we find that the optimal feed mix is approximately 2.53 kg of corn feed and 4.47 kg of wheat feed. The corresponding cost is $3.03.

Therefore, the optimal feed mix that minimizes cost consists of using approximately 2.53 kg of corn feed and 4.47 kg of wheat feed, resulting in an optimal cost of $3.03.

To learn more about amount click here:

brainly.com/question/32453941

#SPJ11

Step-by-step explanation:

bicycle cost= 310

initial money in savings account= 50

additional money saved per week = 20

number of weeks = w

you have to set up an equation

The equation is...

bicycle cost = additional money saved × w + initial money

Substitute the values

310 = 20w + 50

Solve for w

310 - 50 = 20w +50 - 50

260 = 20w

260÷ 20 = 20w÷ 20

13 = w

It will take 13 weeks for her to have enough money for her bicycle

I hope this helps!!!

Answer:

21 or 19.

Step-by-step explanation:

5% of 20 is = 1

for him to make a 5% mistake he has to either go over 1 or miss by 1 so, go over one which gives you 21 and miss one which gives you 19.

Answer:

each pound of chocolate is 75 cents

Step-by-step explanation:

75+75+75=225

Answer:

1921.68 \(ft^{3}\)

Step-by-step explanation:

V = pi*r*r*h

= 3.14*6*6*17

= 1921.68

The percentage of tires that will have a life of 45,000 to 55,000 miles is  68.27%. So the correct option is 68.27%.

To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.

First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation

For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1

For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1

Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.

The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.

Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.

Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826

Converting this to a percentage, we get:
0.6826 * 100 = 68.26%

So the correct answer is 68.27%.

Know more about the normal distribution.

https://brainly.com/question/23418254

#SPJ11

Answer:

a) 150

b) 2650

Step-by-step explanation:

6% of 2500 is 150

150 + 2500 = 2650

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

For more questions on variability

https://brainly.com/question/14544205

#SPJ8

Answer:

4/5

Step-by-step explanation:

sine is opposite over hypotenuse,

so it's 40/50=4/5

Answer:

x=15

Step-by-step explanation:

1/3x+5=10

1/3x=5

x=15

Answer:

5 apples

Step-by-step explanation:

Solution,

4 apples are required for a pie tin with a diameter of 8 inches

For 1 inch of the pie tin 8/4=2 apples are required.

For 10 inches 10/2=5 apples are required.

Answer:

Step-by-step explanation:

Let the number of apples be a and diameter be d.

The relationship is:

We have a = 4 when d = 8.

Find k:

The equation is now:

Find a when d = 10:

The slope is 5/3, and the point-slope is y = 5(x+2)/3.

A linear equation has the general form y-y1=m (x-x1). It highlights the line's slope as well as one of the line's points (that is not the y-intercept).

The formula provided is to find slope, i.e.

m = (y2 - y1) / (x2 - x1) (x2 - x1)

where (-5, -5) for (x1, Y1) and (x2, Y2) (10, 4)

m = (10 + 5) / (4 + 5)

= 15 / 9

= 5 / 3

Now that we have the slope value, we can easily enter it into the supplied equation.

y - y1 = m(x - x1) (x - x1)

y + 5 = 5/3(x + 5)

Upon resolution, we obtain

y = 5x/3 + 10/3

or, y = 5(x + 2)/3

As a result, the slope is 5/3 and the point-slope is y = 5(x+2)/3.

To read more about point-slope

https://brainly.com/question/24907633

#SPJ10

Answer:

a couple different obes

Step-by-step explanation:

there are five

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

Read more about absolute value at

https://brainly.com/question/24368848

#SPJ1

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

Answer:

Surface area of triangular prism = 528

Step-by-step explanation:

Surface area of triangular prism = (Base x Height) + 2 (length x side) + (length x base)

SA = bh + 2Ls + Lb

Putting given values : b = Y = 5 , h = 9 , s = x = 9 , L = z = 21

(5 x 9) + (2 x 21 x 9) + (21 x 5)

= 45 + 378 + 105

528

Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

Learn more about Arc length here:

https://brainly.com/question/31762064

#SPJ2

All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.

Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.

Thus, all rhombus are parallelograms as they have one pair of parallel sides.

To know more about Parallelogram:

brainly.com/question/29765558

#SPJ1

If the level of GDP increased by $400 billion in a private closed economy with a marginal propensity to consume of 0.80, aggregate expenditures must have increased by $400 billion.

If the level of GDP increased by $400 billion in a private closed economy where the marginal propensity to consume (MPC) is 0.80, we can calculate the increase in aggregate expenditures.

The marginal propensity to consume (MPC) represents the proportion of additional income that people choose to spend. In this case, with an MPC of 0.80, it means that for every additional dollar of income, people will spend $0.80 and save $0.20.

To calculate the increase in aggregate expenditures, we can use the concept of the expenditure multiplier, which is the inverse of the marginal propensity to save (MPS). The MPS is equal to 1 - MPC.

MPS = 1 - MPC

MPS = 1 - 0.80

MPS = 0.20

The expenditure multiplier (k) is calculated as:

k = 1 / MPS

k = 1 / 0.20

k = 5

Now, we can calculate the increase in aggregate expenditures (ΔAE) using the formula:

ΔAE = ΔGDP × k

ΔAE = $400 billion × 5

ΔAE = $2000 billion

Therefore, the correct answer is $2000 billion.

Learn more about expenditures here:

https://brainly.com/question/22323905

#SPJ11

Answer: C

Step-by-step explanation:

Option A is true comparisons among the given option as the number are in increasing order A. 4 < √18 < 4.5 .

To determine if this is true, let's calculate the square root of 18:

√18 ≈ 4.2426

Substituting the value into the comparison:

4 < 4.2426 < 4.5

This statement is true because 4 is indeed less than 4.2426, and 4.2426 is less than 4.5. Therefore, Option A is true.

B. 4.5 < √18 < 5

Option B states that 4.5 is less than the square root of 18, and the square root of 18 is less than 5. We have already determined the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:

4.5 < √18 < 5

This statement is also true because 4.5 is not less than 4.2426, and 4.2426 is less than 5. Therefore, Option B is not true.

C. 8.5 < √18 < 9.5

Option C states that 8.5 is less than the square root of 18, and the square root of 18 is less than 9.5. We have already established the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:

8.5 < √18 < 9.5

This statement is false because 8.5 is not less than 4.2426. Therefore, Option C is not true.

D. 17 < √18 < 19

Option D states that 17 is less than the square root of 18, and the square root of 18 is less than 19. Evaluating this comparison:

17 < √18 < 19

This statement is true because 17 is not less than 4.2426, and 4.2426 is less than 19. Therefore, Option D is not true.

In conclusion, among the given options, Option A is true comparisons:

A. 4 < √18 < 4.5

To know more about comparison click here :

https://brainly.com/question/29072830

#SPJ2

Which comparison is true?

A. 4 <√18 < 4.5

B. 4.5 < √18 < 5

C. 8.5 < √18 < 9.5

D. 17 < √18 < 19

Note that the graph that represents the equation or expression given is option A. See same attached.

A system of linear inequalities is similar to a system of linear equations, except that it is made up of inequalities rather than equations. To represent scenarios with various restrictions, systems of linear inequalities are utilized.

A line graph is an effective tool for displaying a connection between two variables. The line graph depicts how the number of frog croaks per minute varies with temperature. Line graphs can help you to spot trends and correlations in data, allowing you to infer values that you did not measure.

Larn more about graphs:
https://brainly.com/question/10712002?
#SPJ1