80m15 + 72m12 − 32m10

Answer:

15 square feet

Step-by-step explanation:

Answer:

13 - 18i

Step-by-step explanation:

Distribute

Answer:

-196 -49 i

Step-by-step explanation:

Hope this helps:)!!

Answer:

number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 4 is shown. Above this, another arrow pointing from negative 4 to negative 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow

Answer:

4a^2

Step-by-step explanation:

\(4a^2x^2+4a^2x+4a^2= \\\\4a^2(x^2+x+1)\)

Therefore, the largest common factor is 4a^2. Hope this helps!

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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a) There is not enough information  b) We can conclude that W≻R and W≻G.  c) The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.  d) The decision would be whether to drink Whisky or Gin.

(a) There is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky because the lotteries L1 and L2 are indifferent. This means that Cohen is equally likely to prefer one lottery to the other. In other words, his utility for Gin is equal to his utility for Whisky.

(b) If we are also told that Cohen prefers Rum to Gin, R≻G, then we can say that he prefers L3 to L1 and L2. This is because L3 has a higher probability of giving him his most preferred drink, Rum, than either L1 or L2. Therefore, we can conclude that W≻R and W≻G.

If G≻R, then we would have L1≻L3 and L2≻L3. This is because L1 and L2 have a higher probability of giving him his most preferred drink, Gin, than L3. However, we know that L3≻L1 and L3≻L2, so this is a contradiction. Therefore, G≻R cannot be true.

(c) A VNM utility function is a function that represents a person's preferences over lotteries. It takes as input a lottery and outputs a real number that represents the person's utility for that lottery. In the case where W≻G, a VNM utility function for Cohen would be of the form:

u(L) = w * p(G) + g * p(W) + r * p(R)

where w is Cohen's utility for Whisky, g is his utility for Gin, and r is his utility for Rum. The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.

(d) A VNM utility function cannot be used to represent Cohen's preferences because his preferences are not stable. In other words, his preferences change depending on his mood. When he is happy, he prefers Whisky to Gin. But when he is depressed, he prefers Gin to Whisky. This means that his utility for Gin and Whisky cannot be represented by a single number.

To model Cohen's preferences, we would need to use a more complex model that takes into account his mood. One possible model would be a Markov decision process. A Markov decision process is a model that describes how a person's preferences change over time. It takes as input the person's current mood and outputs a decision about what to do.

In the case of Cohen, the decision would be whether to drink Whisky or Gin. The person's mood would be represented by a state variable. The state variable would take on one of two values: happy or depressed. The transition probabilities would describe how likely it is for the person's mood to change from one state to the other. The reward function would describe how much utility the person gets from drinking each drink.

This model would allow us to capture the fact that Cohen's preferences change depending on his mood. It would also allow us to make predictions about how he would behave in different situations.

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Answer:

They must have lost 19 games.

Step-by-step explanation:

If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.

Answer:

Mean is 13.5

Median is 10

Step-by-step explanation:

Answer:

Mean: 13.5

Medain: 10

The condition under which |a⃗ − b⃗ | = a + b is when the vectors a⃗ and b⃗ are parallel and have the same direction.

When two vectors are parallel, it means they have the same or opposite direction. In this case, we consider the scenario where they have the same direction. When a⃗ and b⃗ are parallel and have the same direction, the difference between them, a⃗ − b⃗, results in a vector that has a magnitude equal to the difference between their magnitudes, |a| − |b|.

In order for |a⃗ − b⃗ | to be equal to a + b, the magnitudes of the vectors a⃗ and b⃗ should satisfy the condition |a| − |b| = a + b. This implies that the magnitude of vector a⃗ should be twice the magnitude of vector b⃗. By setting these magnitudes appropriately, we can achieve the equality between the magnitudes of the difference vector and the sum of the vectors.

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where is the expressions?

Answer:

-6y+2

Step-by-step explanation:

Trust

Answer:

The ratio of the perimeters of two similar rectangles is equal to the ratio of their corresponding sides. Since the width of the first rectangle is 10 m and that of the second rectangle is 8 m, the ratio of their widths is 10:8 or 5:4. Therefore, the ratio of their perimeters is also 5:4.

The ratio of the areas of two similar rectangles is equal to the square of the ratio of their corresponding sides. Since the width of the first rectangle is 10 m and that of the second rectangle is 8 m, the ratio of their widths is 10:8 or 5:4. Therefore, the ratio of their areas is (5/4)^2 or 25:16.

I hope this helps!

Step-by-step explanation:

Answer:

5:4 and 25:16

Step-by-step explanation:

10:8 change it into simplest form 5:4

then them into squares 5:4 = 25:16

may l get brainliest

Answer:

A. x-intercepts: prices at with profit is zero

    maximum: price at which profit is a maximum

    increasing: (-∞, 3); decreasing: (3, ∞) — profit increases with increasing pen price below $3, decreases with increasing pen price above $3

 B. -26 2/3; loss of profit for each dollar increase in pen price

Step-by-step explanation:

Part A:

The definition of the function tells you what points on the graph represent. The x-intercept at x=0 tells you the company's profit will be zero when the price of pens sold by the company is zero.

The x-intercept at x=6 tells you the company's profit will be zero when the price of pens sold is $6.

The maximum value of 120 at x=3 tells you the company's profit will be $120 when the price of pens sold is $3.

The graph goes "uphill" for x < 3, so the function is increasing for x < 3. The function goes "downhill", so is decreasing, for x > 3. This tells you profit increases with pen price when the price is below $3, and decreases with pen price above $3.

__

Part B:

The equation of the function describing the graph is ...

 f(x) = -120/9x(x -6)

so, at x=5, the value is ...

 f(5) = -120/9(5)(-1) = 600/9 = 66 2/3

Then the average rate of change from x=3 to x=5 is ...

 m = (f(5) -f(3))/(5 -3) = (66 2/3 -120)/2 = (-53 1/3)/2 = -26 2/3

This represents the average change in profit for each dollar increase in the price at which pens are sold.

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Answer:

Step-by-step explanation:

Therefore, the length of each side of the original square is 5 cm.

Area is a measure of the size of a two-dimensional surface or region. It is the amount of space enclosed by a boundary in two dimensions. In simple terms, area is the size of a flat surface, such as the floor, a wall, or a piece of paper. It is usually measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), or acres.

Here,

Let x be the length of each side of the original square.

When the length of each side is increased by 10 cm, the new length is x + 10, and the area of the new square is (x + 10)².

According to the problem, the increase in area is 200 cm², so we can set up the equation:

(x + 10)² - x² = 200

Expanding the left side of the equation, we get:

x² + 20x + 100 - x² = 200

Simplifying, we get:

20x + 100 = 200

Subtracting 100 from both sides, we get:

20x = 100

Dividing both sides by 20, we get:

x = 5

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The required graph shows the inequality that describes the possible number of benches and chairs the administration can buy is graph A. Option A is correct.

Here,
According to the question,
cost of the benches = 100x
cost of the chairs = 50y,
the total cost would exceed $1500
So,
the inequality can be formed,
100x + 50y ≤ 1500
Graph A shows the above inequality.

Thus, the required graph shows the inequality that describes the possible number of benches and chairs the administration can buy is graph A. Option A is correct.

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Answer:

Option D is the correct answer

Step-by-step explanation:

\( \overline{LM} \) is the mid segment of \( \triangle ABC \)

Answer:

18 cm^2

Step-by-step explanation:

The legs of the isosceles, right triangle are the base and height.

A = bh/2 = 6 cm * 6 cm/2 = 18 cm^2

Answer:

18 cm²

Step-by-step explanation:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the perpendicular height to the base.

Here, we have a right triangle, which means we can simply make the legs our base and height. Both legs are 6 cm, so the base is b = 6 cm and the height is h = 6 cm. Plug these into the formula:

A = (1/2) * b * h

A = (1/2) * 6 * 6 = (1/2) * 36 = 18

The answer is thus 18 cm².

~ an aesthetics lover

a study designed to determine if there is an association between an adverse effect in a large population and exposure to a particular agent is an Epidemiological study.

Epidemiology is the observation of the distribution of diseases and other fitness-related situations in populations, and the utility of this study is to manipulate fitness issues. The time period epidemiology is now broadly carried out to cover the description and causation of not the most effective epidemic, infectious ailment, but of sickness in preferred, along with associated situations. some examples of topics examined via epidemiology consist of excessive blood stress, mental illness, and weight problems. Saving Lives. shielding human beings. Saving cash via Prevention. Epidemiology is the examination of the starting place and reasons for diseases in a network.

Cohort studies are fine for analyzing the herbal progression of ailment or chance elements for sickness; case-manipulate studies are lots quicker and less pricey. Qualitative research methods are a key component of discipline epidemiologic investigations due to the fact they are able to offer insight into the perceptions, values, critiques, and community norms in which investigations are being carried out (1,2).

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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To determine the missing amounts in each situation, let's analyze the given information.Situation a: Supplies available-prior year end: $3,578

Supplies purchased during the current year: $675

Total supplies available: $4,725

To find the missing amount, we can subtract the known values from the total supplies available:

Missing amount (Situation a) = Total supplies available - (Supplies available-prior year end + Supplies purchased during current year)

                           = $4,725 - ($3,578 + $675)

                           = $4,725 - $4,253

                           = $472

Therefore, the missing amount in Situation a is $472.

Situation b:

The missing amount is already provided in the question as $12,165.

Situation c:

Supplies available-current year-end: $3,041

Supplies expense for the current year: (unknown)

To find the missing amount, we need to determine the supplies expense for the current year. However, based on the given information, there is no direct indication of the supplies expense. It is not possible to determine the missing amount in this situation without additional information.

Situation d:

Supplies available-current year-end: $5,400

Supplies expense for the current year: $24,257

To find the missing amount, we can subtract the known supplies expense from the supplies available at the current year-end:

Missing amount (Situation d) = Supplies available-current year-end - Supplies expense for the current year

                           = $5,400 - $24,257

                           = -$18,857 (negative value indicates a loss)

Therefore, the missing amount in Situation d is -$18,857 (indicating a loss of $18,857).

In summary, we were able to determine the missing amounts in Situations a and d, while Situations b and c already provided the missing amounts in the question.

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Answer:

818.8333333 *pi

or

Using the pi button on the calculator

2572.440785

Using 3.14 for pi

2571.13666666

Step-by-step explanation:

We need the radius

r = d/2

r = 17/2 = 8.5

We can find the volume using

V = 4/3 pi r^3

V = 4/3 pi ( 8.5)^3

V =818.8333333 *pi

  Using the pi button on the calculator

2572.440785

Using 3.14 for pi

2571.13666666

Answer:

12

Step-by-step explanation:

m xxq

The required measure of an angle is ∠COD = 40°.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

Let's call the measure of \($\angle COE$\)  x degrees.

Since \($\overrightarrow{OD}$\) divides \($\angle COE$\) into two angles of equal measure, the measure of each of those angles is \($\frac{x}{2}$\) degrees.

Since the measure of \($\angle COB$\) is 7 times the measure of \($\angle BOF$\), we have \($\angle COB = 7\angle BOF$\). The sum of the measures of the angles of a triangle is \($180^\circ$\), so we can set up the equation \($\angle COB + \angle COE + \angle BOF = 180^\circ$\). Substituting \($7\angle BOF$\)  for \($\angle COB$\), we have:

\($7\angle BOF + x + \angle BOF = 180^\circ$\)

Solving for \($\angle BOF$\), we find that \($\angle BOF = 20^\circ$\).

The measure of \($\angle COD$\) is equal to the measure of\($\angle COE$\) minus the measure of \($\angle COD$\), so \($\angle COD = x - 2\cdot 20^\circ = x - 40^\circ$\).

Since the measure of \($\angle COE$\) is equal to \($2\angle COD$\), we have \($x = 2(x - 40^\circ)$\), which simplifies to \($x = 80^\circ$\).

Therefore, the measure of \($\angle COD$\)  is \($80^\circ - 40^\circ = {40^\circ}$\).

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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T-tests, F test for homogeneity of variance, and ANOVAs are all examples of parametric, inferential statistics.

So, the correct answer is C.

Parametric statistics assumes that the data being analyzed follows a normal distribution and that the samples being compared have equal variances.

T-tests are used to compare means between two groups, while ANOVAs are used to compare means across three or more groups.

The F test for homogeneity of variance is used to test if the variances between two or more groups are equal.

These tests are inferential statistics because they allow researchers to make inferences about a larger population based on a sample of data.

Hence, the answer of the question is C.

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Answer:

29/6

Step-by-step explanation:

Answer: 29/6 or 4 5/6

Step-by-step explanation:

3+1 = 4

Find a common denominator between 1/2 and 1/3

1/2 becomes 3/6 and 1/3 becomes 2/6

2/6 + 3/6 = 5/6

Now add the 4 back:

4 5/6

The statements that are not characteristics of a normal curve are III, IV, and VI. The answer is B.

A normal curve is a bell-shaped probability distribution that is commonly used in statistics. It has several key characteristics that make it useful in modeling real-world data. These include the fact that the mode and median occur at the mean, the curve is symmetric about the mean, and the total area under the curve and above the horizontal axis is equal to 1.

In addition, the normal curve is asymptotic to the horizontal axis on both sides. However, not all normal curves are asymptotic to the horizontal axis on both sides, as this is only true for curves with a finite standard deviation.

Finally, the probability that a normal random variable is equal to a specific discrete value is always zero, since the normal variable is continuous, and the probability that the variable is between two values is given by the area under the curve between those values and the horizontal axis.

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The equation of Line 1 in the form y=-12x+28

A measurable path between two places is referred to as a line segment. Line segments may make up the sides of any polygon since they have a set length.

Coordinates of Line 2 M(4,5) and N(6,-19)

Slope of Line 2 is =(-19-5)/(6-4)

=-24/2=-12

Slope of line 1 and line 2 are same

Cordinate of Line 1 is D(2,4)

D(2,4) must pass through line 1, so it must satisfy the equation

y=mx+b

4=2(-12)+b

4+24=b

b=28

the equation of Line 1 in the form y=-12x+28

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