if each of the numbers in the following data set were multiplied by 17, what would be the median of the data set?
28, 58, 20, 14, 18, 71, 36

(a) The point estimate of the population mean is 8

(b) The point estimate of the population standard deviation is 2.1

Detailed explanation of the answers.

(a) To find the point estimate of the population mean, you need to calculate the sample mean. Here's how:
Step 1: Add up all the values in the sample: 6 + 8 + 10 + 7 + 11 + 6 = 48.
Step 2: Divide the sum by the number of values (the sample size): 48 / 6 = 8.
The point estimate of the population mean is 8.

(b) To find the point estimate of the population standard deviation, follow these steps:
Step 1: Calculate the mean, which we already did in part (a) - it's 8.
Step 2: Subtract the mean from each value and square the result: (6-8)² = 4, (8-8)² = 0, (10-8)² = 4, (7-8)² = 1, (11-8)² = 9, (6-8)² = 4.
Step 3: Add up the squared differences: 4 + 0 + 4 + 1 + 9 + 4 = 22.
Step 4: Divide the sum by the sample size minus 1: 22 / (6-1) = 22 / 5 = 4.4.
Step 5: Take the square root of the result: √4.4 ≈ 2.1 (rounded to one decimal place).
The point estimate of the population standard deviation is 2.1.

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Answer:

x= 10

Step-by-step explanation:

We can use the fact that the sum of all angles in a triangle is 180°.

5x +7x +60 = 180

Solve for x, because we have 1 equation with 1 unknown

   5x +7x +60 = 180, combine like terms

       12x + 60 = 180. subtract 60 from both sides of the equation

12x + 60 -60  = 180 -60, combine like terms

                12x = 120, divide both sides by 12

                   x = 10

The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

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Answer:

Mai has less variability as compared to that of Priya

Step-by-step explanation:

IQR is the Inter quartile range and is the difference between upper and lower quartiles. It measures the variability as in terms it depicts the middle 50% of values when the values are arranged in ascending order

In case of Priya's median score was 118, and her IQR was 15. IQR = 15 means that there is a difference of 15 between the upper and lower quartiles

While in case of Mai, the IQR is 5 only.

Hence, Mai has less variability as compared to that of Priya

Answer: (x+4)² = -8 (y+3)

Step-by-step explanation: I got this correct on Edmentum.

In order to make appropriate product recommendations, the first step should be to understand the customer's needs and preferences. Based on that, the consultant can suggest products that are most suitable for the customer.

For instance, if a customer is looking for a laptop for gaming, the consultant can suggest laptops with high-end graphics and processing capabilities. Similarly, if a customer is looking for a phone with a good camera, the consultant can suggest phones with high-quality camera lenses.

λ = arrival rate = 30 customers per hour (since 2 customers per minute)

μ = service rate = 6 customers per hour (since 10 minutes per customer)

ρ = λ/μ = 5

Lq = ρ²/(1 - ρ) * μ = 83.3333

L = Lq + λ/μ = 88.3333

Wq = Lq/λ = 2.7778 minutes

W = Wq + 1/μ = 11.7778 minutes

p0 = 1 - ρ = 0.8

Using the above performance measures, we can make the following observations:

1. The arrival rate (λ) is higher than the service rate (μ). This indicates that the system is in a state of congestion and that customers may experience long wait times.

2. The average number of customers in the queue (Lq) is quite high at 83.3333. This means that there is a large number of customers waiting in the queue, which can lead to frustration and dissatisfaction.

3. The average number of customers in the system (L) is also quite high at 88.3333. This implies that the system is operating at a high level of congestion and that customers may face long wait times.

4. The average time a customer spends waiting in the queue (Wq) is 2.7778 minutes. This means that customers may have to wait for nearly 3 minutes on average before they can be served.

5. The average time a customer spends in the system (W) is 11.7778 minutes. This is a fairly long time, which can lead to frustration and dissatisfaction among customers.

Based on the above observations, it is recommended that the consultant take steps to reduce the wait times for customers. This can be achieved by increasing the number of service counters or by optimizing the service process to reduce the time taken to serve each customer. By doing so, the consultant can improve customer satisfaction and loyalty.

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Answer:

no thanks

Step-by-step explanation:

i don't wanna help u nerd

Answer:

potato

yes potato

To make the charge of an object become 3 μC from -1.4 μC, 19.4 million electrons should be removed.

The charge on a single electron is 1.6 × 10⁻¹⁹ C.It is known that an object has a charge of -1.4 μC.

Therefore, we can write:

q = -1.4 × 10⁻⁶C

The charge that the object should have is 3 μC.

We can write:

Q = 3 × 10⁻⁶ C

The charge lost by the object is Δq = Q - q = 3 × 10⁻⁶ - (-1.4 × 10⁻⁶) = 4.4 × 10⁻⁶ C

The number of electrons that were removed is:

N = Δq/e = (4.4 × 10⁻⁶)/(1.6 × 10⁻¹⁹) = 19.4 × 10⁶ electrons

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a) 100 fish were originally put into the pond.

b) After 10 years, the population of fish is≈780.33 fish.

after 20 years, it is≈1018.31 fish.

and after 30 years, it is≈1096.94 fish.

c) The population of fish approaches a constant value of 1200 fish as t becomes very large.

a) To find how many fish were originally put into the pond, we need to find the initial population at time t=0.

We can do this by substituting t=0 in the logistic growth model:

Therefore, 100 fish were originally put into the pond.

b) To find the population of fish after 10, 20, and 30 years, we can simply substitute the values of t in the logistic growth model:

Therefore,

c) To evaluate P(t) for large values of t, we need to find the limit of P(t) as t approaches infinity. We can do this by looking at the behavior of the exponential function \(e^{(-ct)}\) as t becomes very large.

As t approaches infinity, \(e^{(-ct)}\) approaches 0, so we can simplify the logistic growth model as follows:

Therefore, the population of fish approaches a constant value of 1200 fish as t becomes very large.

This is known as the carrying capacity of the pond, which is the maximum number of fish the pond can sustain.

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Answer:

34 39/50 or 1739/50 as improper fraction

Step-by-step explanation:

34 is the whole number, and you have .78 left over

.78 is equal to 78/100

when simplified, 78/100 becomes 39/50

Answer is 34 39/50

Thanks for the Brainly points by the way :)

There are 832 different three-course meals that can be ordered at the I Love Food restaurant.

Since there are 13 appetizers to choose from, 16 entrees, and 4 desserts, the number of possible three-course meals is:

13 x 16 x 4 = 832

A food restaurant is a business establishment that specializes in preparing and serving food to customers. These restaurants may offer a variety of cuisines, from traditional and regional dishes to fusion and international flavors. They are typically divided into different categories based on their menus and service styles, such as fast food, casual dining, fine dining, or ethnic restaurants.

Food restaurants are designed to provide a comfortable and enjoyable dining experience for customers, often with attractive decor, seating arrangements, and music. They employ chefs, cooks, servers, and other staff who work together to prepare and serve high-quality food and drinks. Many food restaurants offer takeout or delivery services, allowing customers to enjoy their meals at home or on the go. Some restaurants also provide catering services for events, parties, and other special occasions.

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The x intercept of the function the quantity of 5 x squared minus 25 x, all over x is 5

we have given a function the quantity  f(x) = (x² - 25x)/x

Firstly, we will take the common factor out from numerator and denominator  which is x and it  will get cancel from the fraction  we will get

5x - 25

Now we will take again the common factor out which is 5 we will get

5(x - 5)

Here, we will equate the expression to zero we will have

5(x - 5) = 0

x - 5 = 0

x = 5

We will get value of x

x=5

Therefore, the x intercept of the function the quantity of 5 x squared minus 25 x, all over x is 5

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Answer:

4 i believe

Step-by-step explanation:

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Lets US population be x

ATQ

\(\\ \sf\longmapsto \dfrac{x}{10}=32\)

\(\\ \sf\longmapsto x=32(10)\)

\(\\ \sf\longmapsto x=320million \)

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.

Given,

Population of Canada = 32 million (1/10 of that of the USA)

=> Let the population of the USA be 'x'.

Now,

→ x/10 + 32 (million)

→ x = 32 × 10

→ x = 320 million.

(The number of zeros in 1 million is 6, so the number of zeros in 320 million will be 7)

320000000 or 320 million.

When a research hypothesis does not predict the direction of a relationship, the test is typically two-tailed.

A two-tailed hypothesis is used when there is no specific prediction about

the direction of the relationship between variables.

It simply states that there is a relationship between the variables being

studied, but does not specify whether the relationship will be positive or

negative.

In contrast, a one-tailed hypothesis predicts the direction of the

relationship (i.e. positive or negative) and is used when there is a clear

expectation about the direction of the effect. A direct positive hypothesis

predicts a positive relationship between variables.

for such more question on typically two-tailed.

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The right response is "the average number of targeted keywords in a website is different than 5 keywords." The website developer asserts that the value of 5 in the article does not accurately reflect the genuine population mean of the number of keywords targeted in a website.

This claim may be one-tailed (if the website developer thinks the true mean is larger or less than 5) or two-tailed (if the website developer thinks the true mean is merely different from 5) in nature. The website developer feels the true mean is different from the value given in the article, without stating whether it is larger or less than 5. As a result, the claim is two-tailed in this instance.

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Step-by-step explanation:

X/11+2=4

X+22/11=4 ( LCM of this denominators is 11)..

X+22=4×11

X+22=44

X=44-22

X=22 ANSWER

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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The equation with the same solutions are; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

The properties of equality can be used to rewrite the equations in

simplified form.

Two equations that have the same solution as the given equation are;

2.3p-10.1=6.49.p-4

230.p-1010=650.p-400-p

Reasons:

The given equation is; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

Simplifying the above equation by collecting like terms gives;

2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4

2.3·p - 10.1 = 6.49·p - 4

Multiplication property of equality:

Both sides of an equation will remain equal, when both sides are

multiplied by the same amount.

Multiplying both sides of the original equation by 100 gives the same

solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

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Answer:

B-2.3p – 10.1 = 6.49p – 4 and C- 230p – 1010 = 650p – 400 – p

Step-by-step explanation:

The statistical test to measure the magnitude of bivariate relationships and to test whether the relationship is significantly different from zero for interval-level data is Pearson's r. The correct option is A.

The statistical test to measure the magnitude of bivariate relationships and to test whether the relationship is significantly different from zero for interval-level data is Pearson's r. Pearson's r is the most common and widely used correlation coefficient. It is used to measure the strength of a linear association between two continuous variables that have a normal distribution.

Pearson's r is a measure of the direction and magnitude of the correlation between two variables. Pearson's r can range from -1 to 1, where a value of -1 indicates a perfect negative correlation, a value of 0 indicates no correlation, and a value of 1 indicates a perfect positive correlation.

Therefore, the correct option is A) Pearson's r.

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The optimal value of the objective function for this linear programming problem is 88.


To find the optimal value, we need to graph the feasible region and identify the corner points. We can do this by solving the three constraints as equations and plotting them on a graph.

First, we solve for the constraint 15x + 5y ≤ 75:

5y ≤ -15x + 75
y ≤ -3x + 15

This is a linear equation with a slope of -3 and a y-intercept of 15. To plot it, we can find two points that satisfy the equation. For example, when x = 0, y = 15. When y = 0, x = 5. Plotting these points and drawing a line between them, we get:


Next, we solve for the constraint 10x + 6y ≤ 60:

6y ≤ -10x + 60
y ≤ -(5/3)x + 10

This is another linear equation, with a slope of -5/3 and a y-intercept of 10. To plot it, we can find two points that satisfy the equation. For example, when x = 0, y = 10. When y = 0, x = 18/5. Plotting these points and drawing a line between them, we get:


Finally, we solve for the constraint x + y ≤ 8:

y ≤ -x + 8

This is yet another linear equation, with a slope of -1 and a y-intercept of 8. To plot it, we can find two points that satisfy the equation. For example, when x = 0, y = 8. When y = 0, x = 8. Plotting these points and drawing a line between them, we get:


Now, we need to find the intersection points of these three lines. One way to do this is to solve the system of equations:

15x + 5y = 75
10x + 6y = 60
x + y = 8

Using algebra, we can find that the three lines intersect at the point (3, 5).


This is the only corner point of the feasible region, since it is the only point where two or more lines intersect.

Now, we need to evaluate the objective function 8x + 7y at this corner point:

8(3) + 7(5) = 24 + 35 = 59

However, we also need to check if any adjacent points give us a larger value of the objective function. In this case, there are no adjacent points, since the feasible region is bounded by the three lines and the axes. Therefore, 59 is the optimal value of the objective function.


The optimal value of the objective function for this linear programming problem is 59. This value is achieved at the corner point (3, 5), which is the only feasible solution.

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Answer:

A. x+20=60

Step-by-step explanation:

Start with what you know: Alex has $68 and that is $20 more than Michael. Think, what number is 20 less than 68? The number is 48. You can plug 48 in for x in each answer choice or you can derive the answer by creating your own equation. Make x=how much Michael has. Since Alex has $20 more dollars, Michael has 20 fewer dollars than Alex. so x=68-20. The only answer choice that is equal to that is A.

Answer:

x+20=68

Step-by-step explanation:

Scaled up by: 2

Equivalent fraction: 32/40

Scaled up by: 3

Equivalent fraction: 48/60

Scaled down by: 4

Equivalent fraction: 4/5

Answer:

X=4/3

Step-by-step explanation:

3x=28/7

3x=4

X=4/3

Amita can only use one of the possible molds if she wants a rectangular prism with a square base and volume of 28 cubic centimeters.

Let the length, width, and height of the rectangular prism be x, y, and z respectively. Since the volume of the prism is 28 cubic centimeters, we have:

x * y * z = 28

Since x, y, and z are whole numbers, we can find all possible combinations of three factors whose product is 28. These are:

1 * 1 * 28

1 * 2 * 14

1 * 4 * 7

2 * 2 * 7

Therefore, there are four different molds that Amita can make.

If Amita wants the mold to have a square base, then the length and width of the base must be equal. We can see that only one of the above combinations has equal length and width, which is:

2 * 2 * 7

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Answer:

1

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

4-2-1=1

Answer:

1

Step-by-step explanation:

a-b+c

=4-2+(-1)

=2-1

=1