whats the answer to this question (Please help me)

Answers

Answer 1

The correct option is C, the skews are different.

Which is best supported for both dot plots¨?

We have two dot plots and we want to see which statement is the best suported by these.

The right one is better distributed, so we can conclude that the correct statement is that the data have different skews.

The ranges may seem also to be different, but are the same ones, in the first one is:

20 - 12 = 8

In the second it is:

19 - 11 = 8

so the correct option is C.

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Related Questions

if a cartesian join is used to link table a which contains two rows to table b which contains eight rows, there will be sixteen rows in the results.T/F

Answers

True. A cartesian join, also known as a cross join, returns all possible combinations of rows between two tables. In this scenario, since table a contains two rows and table b contains eight rows, there will be 2 x 8 = 16 possible combinations or rows in the result set.


When a Cartesian join is used to link two tables, it creates a combination of all possible rows between the two tables. In this case, table A has 2 rows and table B has 8 rows. To calculate the number of rows in the result, you simply multiply the number of rows in each table:

2 rows (table A) x 8 rows (table B) = 16 rows

So, when a Cartesian join is used to link table A with 2 rows to table B with 8 rows, there will be 16 rows in the result.

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The statement "if a cartesian join is used to link table a which contains two rows to table b which contains eight rows, there will be sixteen rows in the results" is a true statement.

What is a Cartesian join?

A Cartesian join, also known as a cross join or a cross product, generates a result set that combines every row from the first table with every row from the second table, with no requirements or limits.

If table A has two rows and table B has eight rows, a Cartesian join between the two tables will yield a result set with 16 rows (the product of the number of rows in each table).

So the statement "if a Cartesian join is used to link table A with two rows to table B with eight rows, the results will have sixteen rows" is valid.

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Please answer with explanation.

Answers

Answer:

Step-by-step explanation:

Trigonometry can be used to find the value of x

15cos35=x

x=15*0.8192

x=15*.8192

x= 12.288

x≈12.29cm

What is the correct answer choice to #3/the first problem?Please explain if you are able to.
What does IQR tell me about the data values in the box plot?

Answers

The IQR in problem 3 is equal to 10.

The IQR tells us about the measure of the spread of the data contained in the box plot.

What is a box-and-whisker plot?

In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the given box plot, the five-number summary for the given data set include the following:

Minimum (Min) = 30.First quartile (Q₁) = 65.Median (Med) = 70.Third quartile (Q₃) = 75.Maximum (Max) = 80.

How to calculate the interquartile range (IQR)?

Mathematically, interquartile range (IQR) of a data set is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):

Interquartile range (IQR) of data set = Q₃ - Q₁

Interquartile range (IQR) of data set = 75 - 65

Interquartile range (IQR) of data set = 10.

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There are four times as many cows as horses on a farm. There are twice as many horses as pigs on the farm. Which list shows the number of each type of animal on this farm?

Answers

As per the unitary method, the list shows the number of each type of animal on this farm is

Number of pigs = x

Number of horses = 2x

Number of cows = 8x

Let us start by assigning variables to each type of animal on the farm. Let's say the number of pigs is "x".

From the problem statement, we know that there are twice as many horses as pigs. Therefore, the number of horses would be 2x.

Further, we know that there are four times as many cows as horses. So, the number of cows would be 4 times the number of horses. Mathematically, we can represent it as:

Number of cows = 4 * Number of horses

Or, Number of cows = 4 * (2x) = 8x

Therefore, we have the number of each type of animal on the farm as follows:

Number of pigs = x

Number of horses = 2x

Number of cows = 8x

This is the same ratio as we found using the unitary method.

Therefore, our solution is correct.

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the surface area of a cylinder is 936pi squares meters. the radius is 13m use the formula sa=2b=ph. to find the height of cylinder.

Answers

Answer: The formula for the surface area of a cylinder is:

SA = 2πr^2 + 2πrh

where SA is the surface area, r is the radius, and h is the height.

In this case, we know that the surface area is 936π square meters and the radius is 13 meters. So we can plug those values into the formula and solve for h:

936π = 2π(13^2) + 2π(13)(h)

Simplifying:

936π = 338π + 26πh

936π - 338π = 26πh

598π = 26πh

h = 598/26 = 23

Therefore, the height of the cylinder is 23 meters.

Step-by-step explanation:

Step-by-step explanation:

you made some mistakes with the formula.

the surface area of a cylinder is

the outside mantle area

+

the 2 circle areas on top and bottom.

the outside mantle area is

2×pi×radius×height

the 2 circle areas are

2 × pi×radius²

in total that is

2×pi×radius×height + 2×pi×radius² =

2×pi×radius×(height + radius) = 936pi

2×pi×13×(height + 13) = 936pi

pi×(height + 13) = 36pi

height + 13 = 36

height = 36 - 13 = 23 m

greatest common factor of 14xy2 and 28x2y

Answers

Answer:

Step-by-step explanation:

what is the proportional relationship between x 2 6 8 10 and y 6 18 24 30

Answers

The proportional relationship is y = 3x.

What is the proportional relationship?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Here, we have

Given:

x:  2, 6, 8, 10

y:  6, 18, 24, 30

We have to find the proportional relationship between x and y.

So, we can see from inspection and visual observation that there is a proportional relationship between x and y.

6 = 3  2,  18 = 3  6, 24 = 3  8, 30 = 3  10.

Hence, The proportional relationship is y = 3x.

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There are 11 balls numbered 1 through 11 placed in a bucket. What is the probability of reaching into the bucket and randomly drawing three balls numbered 4, 9, and 7 without replacement, in that order? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answers

The probability of reaching into the bucket and randomly drawing three balls numbered 4, 9, and 7 without replacement, in that order, is 1/990, which is a decimal rounded to the nearest millionth is 0.001.

The probability of drawing three balls numbered 4, 9, and 7 without replacement, in that order, can be found by multiplying the probabilities of drawing each ball in the correct order.

The probability of drawing the first ball, numbered 4, is 1/11, since there is only one ball numbered 4 out of 11 balls in the bucket.

After the first ball is drawn, there are 10 balls remaining in the bucket, and the probability of drawing the second ball, numbered 9, is 1/10, since there is only one ball numbered 9 remaining out of the 10 balls in the bucket.

After the first two balls are drawn, there are 9 balls remaining in the bucket, and the probability of drawing the third ball, numbered 7, is 1/9, since there is only one ball numbered 7 remaining out of the 9 balls in the bucket.

Therefore, the probability of drawing the balls numbered 4, 9, and 7 without replacement, in that order, is:

(1/11) * (1/10) * (1/9) = 1/990

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A company has to decide whether to invest money in the development of a microbiological product. The company's research director has that there is a 60% chance that a successful development could be achieved in 2 years. However, if the product had not been successfully developed at the end of this period, the company would abandon the project, which would lead to a loss in present-value terms of $ 3 million. (Present value is designed to take the company's time preference for money into account. The concept is explained in Chapter 8) In the event of a successful development, a decision would have to be made on the scale of production. The returns generated would depend on the level of sales which could be achieved over the period of the product's life. For simplicity, these have been catorized as either high or low. If the company opted for large-volume production and high sales were achieved, then net returns with a present-value of $6 million would be obtained. However, large-scale production followed by low sales would lead to net returns with a present value of only $1 million.In contrast, if the company decided to invest only small-scale production facilities then high sales would generate net returns with a present value if facilities then high sales would generate net returns with a present value of $4 million and low sales would generate net returns with a present value of $2 million. The company's marketing manager estimates that there is a 75% chance that high sales could be achieved.(a) Construct a decision tree to represent the company's decision problem. (b) Assuming that the companys objective is to maximize its expected returns, determine the policy that it should adopt. (c) There is some debate in the company about the probability that was estimated by the research diretor. Assuming that allo other elements if the problem remain the same, determine how low this probility would have ti be before the option of not developing the product should be chosen. (d) before the final decision us nade the company us taken iver by a bew owner, who has the utilities shown below for the sums of money involved in the decision. (The owner has no ointerest in other attributes which may be associated with the decision, such as developing a prestige product or maintaining employment.) What implications does this have for the policy that you iidentified in (b) and why?Present value of net returns New owner's utility-$3m, $0m, $1m, $2m, $4m, $6m 0, 0.6, 0.75, 0.85, 0.95, 1.0

Answers

The optimal policy for the new owner is to invest in large-scale production. This decision branch has the highest expected utility of $4.285m.

The initial node represents the decision whether to invest in the development of the microbiological product.

The two possible outcomes are a successful development or failure after 2 years.

(b) To determine the policy that the company should adopt to maximize its expected returns, we need to calculate the expected value at each decision node.

Starting from the end nodes and working backwards, we have:

For large-scale production with high sales:

Expected value = 0.75 x $6m + 0.25 x $1m = $4.25m

For large-scale production with low sales:

Expected value = 0.75 x $1m + 0.25 x $6m = $1.75m

For small-scale production with high sales:

Expected value = 0.75 x $4m + 0.25 x $2m = $3.5m

For small-scale production with low sales:

Expected value = 0.75 x $2m + 0.25 x $4m = $1.75m

At the 2-year node, the expected value for a successful development is:

For large-scale production:

Expected value = 0.75 x $4.25m + 0.25 x $1.75m = $3.5m

For small-scale production:

Expected value = 0.75 x $3.5m + 0.25 x $1.75m = $2.81m

Finally, at the initial node, the expected value for investing in the development is:

Expected value = 0.6 x $3.5m + 0.4 x (-$3m) = $0.1m

Therefore, the policy that the company should adopt to maximize its expected returns is to invest in the development of the microbiological product, choose large-scale production if the development is successful, and choose small-scale production otherwise.

(c) If the probability of a successful development is lower than a certain threshold, the option of not developing the product should be chosen. Let p be this threshold probability. Then the expected value at the initial node is:

Expected value = p x $0m + (1-p) x (-$3m) = -$3m + $3mp

Setting this equal to zero and solving for p, we get:

p = 1

Therefore, if the probability of a successful development is lower than 100%, the company should not invest in the development of the microbiological product.

(d) The new owner's utilities represent their preferences for the sums of money involved in the decision.

The utilities are increasing and concave, indicating diminishing marginal utility of money.

This means that the new owner is risk-averse.

The policy identified in (b) may not be optimal for the new owner because their utilities are different from the present-value net returns.

To determine the optimal policy for the new owner, we need to use the new owner's utility values to calculate the expected utility of each decision branch in the decision tree.

If the company invests in large-scale production and high sales are achieved, the expected utility is 0.75 * 0.95 * 1.0 * $6m = $4.285m.

If the company invests in large-scale production and low sales are achieved, the expected utility is 0.75 * 0.95 * (1 - 0.0) * $1m = $712,500.

If the company invests in small-scale production and high sales are achieved, the expected utility is 0.75 * 0.05 * 1.0 * $4m = $150,000.

If the company invests in small-scale production and low sales are achieved, the expected utility is 0.75 * 0.05 * (1 - 0.0) * $2m = $75,000.

If the company decides not to invest in the product, the expected utility is 0.25 * (1 - 0.6) * $0m + 0.25 * 0.6 * (1 - 0.0) * -$3m = -$450,000.

Therefore, the optimal policy for the new owner is to invest in large-scale production. This decision branch has the highest expected utility of $4.285m.

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PLEASE HELP DUE TODAY!!!!!!!
Consider the functions g(x) = 2x + 1 and h(x) = 2x + 2 for the domain 0 < x < 5


a. Without evaluating or graphing the functions, how do the ranges compare?


b. graph the 2 functions and describe each range over the given interval

Answers

a. The ranges of g(x) and h(x) differ by a constant value of 1, since h(x) is simply g(x) shifted upward by 1 unit. Therefore, the range unit.

b.

Graph of g(x) = 2x + 1 and h(x) = 2x + 2 over the interval 0 < x < 5:

![Graph of g(x) over the interval 0 < x < 5 is (1, 11), while the range of h(x) is (2, 12). This confirms that the range of h(x) is equal to the range of g(x) shifted upward by 1 unit.

Answer

a. The range of h(x) over the given domain will have endpoints 1 unit greater.

b. See the graph in the explanation. The range of g(x) over the given domain is (1, 11) and of h(x) is (2,12)

Step-by-step explanation

a. Given the functions:

g(x) = 2x+1 h(x) = 2x + 2

for the domain 0 < x < 5.

These are two parallel lines where h(x) is 1 unit above g(x) Then, the range of h(x) over the given domain will have endpoints 1 unit greater.

b. Evaluating g(x) when x = 0 :

g(0) = 2(0) + 1 g(0) = 0 + 1 g(0) = 1

Evaluating g(x) when x = 5 :

g(5) = 2(5) + 1

g(5) = 10 + 1

g(5) = 11

Then, we can graph g(x) by connecting the points (0, 1) and (5, 11).

Evaluating h(x) when x = 0 :

h(0) = 2(0) + 2 h(0) = 0 + 2 h(0) = 2

Evaluating h(x) when x = 5 :

h(5) = 2(5) + 2

h(5) = 10 + 2

h(5) = 12

Then, we can graph h(x) by connecting the points (0, 2) and (5, 12).

See Graph

From the graph, the range of g(x) over the given domain is (1, 11) and of h(x) is (2,12)

a student takes an exam containing 11 true or false questions. if a student randomly guesses on the entire exam, what is the standard deviation of the number of incorrect answers? round your answer to two decimal places.

Answers

The first step is to find the mean number of incorrect answers. Since there are 11 questions, and each question has a 50/50 chance of being answered incorrectly, we can expect the student to get 5.5 questions wrong on average.

Next, we need to calculate the variance. To do this, we can use the formula:

Variance = p(1-p)n

Where p is the probability of getting a question wrong (0.5), and n is the number of questions (11).

Variance = 0.5(1-0.5)11 = 1.375

Finally, we can find the standard deviation by taking the square root of the variance:

Standard deviation = sqrt(1.375) = 1.17 (rounded to two decimal places)

Therefore, the standard deviation of the number of incorrect answers on the exam is 1.17.

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A cyclist bikes a certain distance in 25 minutes.
Write an equation that shows the relationship between speed, s, and time, t, when the distance is 50 miles.

Answers

As a result, if a bicycle covers 50 miles in 25 minutes, their speed is 120 miles per hour.

What is speed?

Speed is defined in physics as the distance covered in a unit of time. What determines the velocity vector's magnitude is a scalar quantity. An item is said to be travelling faster or slower depending on its speed. It has zero speed if it isn't moving at all.

Describe distance.

Therefore, a bicycle travelling 50 miles in 25 minutes is moving at a speed of 120 miles per hour.

what are miles?

Miles might mean two different things. As a noun, it refers to a linear measurement unit that is 1,760 yard. It also has the adverbial meanings of greatly or far.

When the distance is 50 miles, the relationship between speed, s, and time, t, can be written as follows:

s = d/t

where d is the distance traveled, and t is the time it takes.

The distance is 50 miles in this instance, and the travel time is 25 minutes, or 25/60 hours.

When we enter these values into the formula above, we obtain:

120 miles per hour is equal to s = 50/(25/60).

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Find the area of the shaded region

Answers

the area of the region is 13.01 ft².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the of the shaded region, we use the formula below

Formula:

Area of the shaded region = Area of the sector-Area of the triangleA = (∅πr²/360)-(r²sin∅/2).......................... Equation 1

Where:

A = Area of the shaded regionr = Radius of the circle∅ = Angle subtends at the center of the circle

From the question,

Given:

r = 12 ft∅ = 60°π = 3.14

Substitute these values into equation 1

A = (60×3.14×12²/360)-(12²sin60°/2)A = 75.36-62.35A = 13.01 ft²

Hence, the area is 13.01 ft².

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Joel wants to fence off a triangle portion of his yard for his chickens. The three pieces of fencing he has measured 8 ft, 15 ft, and 20 ft. will Joel be able to make a right triangle with the current lengths of fencing? why or why not?

Answers

Joel cannot make a right triangle with the current lengths of fencing.

What is right triangle?

A right triangle is a triangle that has one angle that measures exactly 90 degrees (a right angle). This means that the other two angles of the triangle are acute (measuring less than 90 degrees). The side opposite the right angle is called the hypotenuse, and it is always the longest side of the triangle. The other two sides are called the legs of the triangle.

To check if Joel can make a right triangle with the current lengths of fencing, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

So, let's check if the measurements satisfy the Pythagorean theorem:

8²  + 15² = 64 + 225 = 289

20²  = 400

According to the Pythagorean theorem, a triangle with sides of length 8 ft, 15 ft, and 20 ft would be a right triangle if it satisfies the equation a²  + b²  = c² , where a and b are the shorter sides (legs) and c is the longest side (hypotenuse). However, in this case, we can see that the sum of the squares of the shorter sides (8²  + 15² ) is not equal to the square of the longest side (20² ), so the measurements cannot form a right triangle.

Therefore, Joel cannot make a right triangle with the current lengths of fencing.

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Find the circumference of each circle with a diameter of 20.2 in. Use 3.14 for the value of Pi. Round your answer to the nearest tenth. IM IN 7TH

Answers

Answer:

3.14×10.1×10.1

3.14×102.01

320.311

=320.300

Can someone explain to me what co sin and tan are and how i solve questions that involve them

Answers

Answer:

Cosine, sine, and tangent are trigonometric functions used in mathematics and geometry to calculate angles and sides in right triangles.

Here is a brief explanation of each:

Cosine (cos): The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. In other words, it represents the ratio of the length of the adjacent side to the angle to the length of the hypotenuse. It is usually abbreviated as cos.

Sine (sin): The sine of an angle in a right triangle is defined as the opposite side length divided by the hypotenuse length. In other words, it represents the ratio of the length of the opposite side to the angle to the length of the hypotenuse. It is usually abbreviated as sin.

Tangent (tan): The tangent of an angle in a right triangle is defined as the opposite side length divided by the adjacent side length. In other words, it represents the ratio of the length of the opposite side to the angle to the length of the adjacent side. It is usually abbreviated as tan.

To solve questions that involve these functions, you need to know at least two values of a right triangle, such as the lengths of two sides or one side and an angle. Then you can use the trigonometric function and the given values to calculate the missing side or angle.

For example, if you know the length of the hypotenuse and one acute angle of a right triangle, you can use the sine or cosine function to calculate the length of one of the other sides. If you know the length of one side and one acute angle, you can use the tangent function to calculate the length of the other side.

There are also trigonometric identities and equations that can be used to simplify or solve more complex problems involving these functions.

Step-by-step explanation:

I need help ASAP mean absolute deviation (mad)

Answers

The absolute deviation for the observation of 16 in the data-set is given as follows:

5.

How to calculate the mean of a data-set?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

Hence the mean of the data-set in this problem is given as follows:

(19 + 16 + 4 + 9 + 7)/5 = 11.

The absolute deviation of 16 is given by the difference between 16 and the mean of 11, hence:

16 - 11 = 5.

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b. How old will Kiran be when his aunt is 60 years old?

Answers

If Kiran's aunt is 17 years older than Kiran and she is 60 years old, then Kiran will be 60 - 17 = 43 years old.

when a biased coin is tossed, heads is three times as likely to come up as tails. rearrange the following procedure in the correct order to find the probability that should be assigned to the outcome of heads and tails?

Answers

The probability of heads is 3 times that of tails, so the probability of heads is 0.75 and the probability of tails is 0.25.

Assign a probability of 0.5 to heads

Assign a probability of 0.25 to tails

When a biased coin is tossed the probability of heads is three times as likely to come up as tails.

To find the probability that should be assigned to the outcome of heads and tails the first step is to calculate the probability of heads.

Once this is done,

The probability of heads can be assigned a value of 0.5 and the probability of tails can be assigned a value of 0.25.

After that,

The probability of heads and tails can be calculated accordingly.

The probability of heads and tails when a biased coin is tossed, the first step is to calculate the probability of heads.

Once this is done the probability of heads can be set to 0.5 and the probability of tails can be set to 0.25.

With these probabilities assigned the probability of heads is three times that of tails.

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please help !!!!!!
MULTIPLY (3x + 4)(4x + 5)

Answers

Answer:

B. 12x^2 + 31x + 20

Step-by-step explanation:

Use FOIL (First, Outer, Inner, Last)

(3x + 4)(4x + 5)

12x^2 + 15x +16x + 20

12x^2 + 31x + 20

Answer:

B

Step-by-step explanation:

You are going to want to use the FOIL method. First outer inner last. Multiply 3x*4x to get 12x^2 then multiply 3x*5 to get 15x then multiply 4*4x to get 16x and last multiply 4*5 to get 20. Since 15x and 16x are like terms we add them together to get 31x

I need some help please

Answers

I think it is 0
I’m sorry if I’m wrong

What does the correspondence of angles mean

Answers

Answer:

the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line

Need help!! 25 points

Answers

The number of people who became ill when the epidemic began is given as follows: 169 people.The number of people who became ill six weeks after the epidemic began is given as follows: 61,841 people.The limiting size of the infected population is given as follows: 675,000.

How to obtain the amounts?

The amount of people infected after t weeks is modeled by the function presented as follows:

[tex]f(t) = \frac{675000}{1 + 4000e^{-t}}[/tex]

When the epidemic began, we have that t = 0, hence the number of people is given as follows:

f(0) = 675,000/(1 + 4000)

f(0) = 169 people.

Six weeks after the epidemic began, we have that t = 6, hence the number of people is given as follows:

f(6) = 675,000/(1 + 4000 x e^(-6))

f(6) = 61,841 people.

The limiting size of the infected population is the numerator of the fraction, which is 675,000, as the denominator goes to zero when t goes to infinity.

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I NEED HELP ON THIS ASAP! i already filled in the table, I just need help with Question d

Answers

The proof that the table has a constant ratio is shown below

Proving that the table has a constant ratio

From the table of values, we have the following parameters that can be used in our computation:

f(x + 1) = ab^(x + 1)

f(x + 2) = ab^(x + 2)

f(x + 3) = ab^(x + 3)

When divided, we get the ratio r

So, we have

r = f(x + 3)/f(x + 2) = f(x + 2)/f(x + 1)

This gives

ab^(x + 3)/ab^(x + 2) = ab^(x + 2)/ab^(x + 1)

Divide through by a

b^(x + 3)/b^(x + 2) = b^(x + 2)/b^(x + 1)

Using the law of indices, we have

b^(x + 3 - x - 2) = b^(x + 2 - x - 1)

Evaluate

b^0 = b^0

This gives

1 = 1

Hence, the table has a constant ratio

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Emilio has a bag of dog food. The bag contains 24 3/4cups of dog food. Emilio feeds his dog 2 3/4 cups of dog food each day.
What is the total number of days Emilio can feed his dog from this bag of dog food?

Answers

9 days
If he uses 2 3/4 of dog food each day then the total number of stars Emilio can feed his dog is 9 days.

If a monopolistic firm takes over a perfectly competitive market, we would expect to see market price of the good to rise and the quantity sold to increase. Fall as the monopolist tries to increase sales. Fall because demand is perfectly elastic. Rise and quantity sold to fall

Answers

In the event that a monopolistic firm takes over superbly competitive advertising, we would anticipate seeing the advertising cost of the great rise and the amount sold drop.

Be that as it may, when a monopolistic firm takes over the showcase, it picks up showcase control and the capacity to impact the cost. The monopolist can charge a better cost than the competitive advertising cost since there are no near substitutes for its item. As the monopolist raises the cost, the amount requested will drop, as customers switch to substitutes or decrease their utilization of the item.

we would anticipate seeing the advertising cost of the great rise and the amount sold fall as the monopolist tries to extend benefits by raising costs. This is often in differentiating from impeccably competitive advertising.

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7. The data show the amount spent by 8 households on heating bills in January and June last year.
$80.50 $75.00 $68.90 $87.00 $81.80 $78.20 $74.60 $69.80
$50.40 $36.70 $31.00 $47.30 $52.00 $39.60 $35.60 $31.20
Which of the following best describes the data?
O
The data are dependent because the amounts changed between January and June.
The data are independent because the heating bills in January and June came from the same households.
O
The data are dependent because the heating bills in January and June came from the same households.
The data are independent because the amount changed between January and June.
3
0

Answers

The option that best describes the data is the option;

The data are independent because the heating bills in January and June came from the same households.

What are dependent and independent data?

Dependent and independent data refers to the relationship between two sets of data.

The specified data in the table indicates;

The data obtained from an household in January is located directly on top the data obtained from the same household in June.

The heating bill depends on the amount of energy used in an household.

The amount of energy used in each household depends on the heating requirement of the household, such that the heating bill for an household in January is related to the heating bill for the same household in June

The correct option is therefore;

The data are related because the heating bills in January and June came from the same households.

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Using scientific notation, (5 x 10^6) (9 × 10^-2) = 6 x 10^n, where 1 ≤ b < 10 and
n is an integer.
What is the value of b? |

What is the value of n?

Answers

The equation (5 x 10⁶) (9 × 10⁻²) = 6 x 10⁴ when written in scientific notation. The value of b is 5 and the value of n is 4.

What is scientific notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in standard decimal form. The number is written in the form of a number between 1 and 10 multiplied by a power of 10.

The value of b in this equation is 5. This is because the decimal points in both terms must be aligned in order to multiply them together.

The decimal points in each term are 6 and 2, respectively.

Since 6 is greater than 2, the decimal point for the total must be aligned with 6.

This means that the number 5 must be multiplied by 10⁶, resulting in b being 5.

The value of n in this equation is 4. This is because when the two terms are multiplied together, the exponents must be added.

The exponents of 10 in each term are 6 and -2, respectively.

When these are added together, they equal 4, resulting in the exponent of 10 in the new term to be 4.

Therefore, the equation (5 x 10⁶) (9 × 10⁻²) = 6 x 10⁴ when written in scientific notation. The value of b is 5 and the value of n is 4.

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the following shows the number of individuals in a random sample of 300 adults who indicated they support the new tax proposal. political party support democrats 100 republicans 120 independents 80 we are interested in determining whether the opinions of the individuals of the three groups are uniformly distributed. refer to exhibit 12-6. if the opinions of the individuals of the three groups are uniformly distributed, the expected frequency for each group is . a. .333 b. .50 c. 50 d. 100

Answers

The answer is (d) 100, which is the expected frequency for each group.

How to find the expected frequency?

To determine the expected frequency for each group under the assumption of a uniform distribution of opinions, we can use the formula:

Expected frequency = (total sample size) x (proportion of group in population)

The total sample size is 300, and the proportions of Democrats, Republicans, and Independents in the population are not given, so we cannot use those directly. However, if we assume that the population proportions are roughly the same as the sample proportions, we can estimate the expected frequencies as follows:

Expected frequency for Democrats = 300 x (100/300) = 100

Expected frequency for Republicans = 300 x (120/300) = 120

Expected frequency for Independents = 300 x (80/300) = 80

Therefore, the answer is (d) 100, which is the expected frequency for each group if the opinions of the individuals of the three groups are uniformly distributed.

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pls help I’m not understanding !

Answers

The triangle ABC ≅ triangle DEC using the SSS criteria.

Given that, BA ≅ ED. Also C is midpoint of BE and AD thus,

BC = CE

AC = CD

Now, for the triangle ABC and triangle DEC we have:

BA = ED (Given)

C is the midpoint of BE and AD (given)

BC = CE (C is the midpoint)

AC = CD (C is the midpoint)

Thus, the triangle ABC ≅ triangle DEC using the SSS criteria.

BA = ED (Given). C is the midpoint of BE and AD (given). BC = CE (C is the midpoint). AC = CD (C is the midpoint), The triangle ABC ≅ triangle DEC using the SSS criteria.

What are similar triangles?

Two triangles that are similar in shape but not necessarily in size are said to be similar triangles. This indicates that the respective sides and angles in the two triangles are proportional to one another. There are numerous uses for similar triangles in geometry, such as discovering missing side lengths or angles or resolving problems with indirect measurements. Other shapes besides triangles, like circles, rectangles, and polygons, are also included in the concept of resemblance.

Given that, BA ≅ ED. Also C is midpoint of BE and AD thus,

BC = CE

AC = CD

Now, for the triangle ABC and triangle DEC we have:

BA = ED (Given)

C is the midpoint of BE and AD (given)

BC = CE (C is the midpoint)

AC = CD (C is the midpoint)

Thus, the triangle ABC ≅ triangle DEC using the SSS criteria.

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