Find the median, and mode(s) of the data. 15, 4, 3, 12, 20, 12, 13

$240 would go to Emergencies each month, $80 would go to Emotional needs each month, and $80 would go to Long-term savings each month.

We have,

10% of $4,000 is $400.

Using the 60/20/20 rule:

Emergencies:

= 60% of $400

= 60/100 x 400

= $240

Emotional needs:

= 20% of $400

= 20/100 x 400

= $80

Long-term savings:

= 20% of $400

= 20/100 x 400

= $80

Therefore,

$240 would go to Emergencies each month, $80 would go to Emotional needs each month, and $80 would go to Long-term savings each month.

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The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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Answer:

-1

Step-by-step explanation:

1/3 - 2/5 = x/15

Make denominators equal.

5/15 - 6/15 = x/15

Cancel the denominators.

5 - 6 = x

-1 = x

I do not understand what do you mean

Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Answer:

"Variable cost" is the appropriate answer.

Step by-step explanation:

Let an equation,

⇒ \(y=a+bx\)

here,

or,

We can say that, "y" is a dependent variable as well as "x" is an independent variable.

Thus the independent variable is Variable cost.

The initial value problem's solution becomes closer to 0, the problem's limit, as time gets closer to infinity.

1. Determine both sides of the equation's Laplace transform: d2y + 4dy + 13y = u5(t) Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 (s)

2. Rewrite the equation to Y(s) = U5(s) / (s2 + 4s + 13) to find the value of Y(s).

3. Consider the reverse Finding y(t) using the Laplace transform on both sides

y(t) = (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t)

4. As t approaches infinity, determine the limit:

Laplace transformations are used to resolve the initial value issue d2y + 4dy + 13y = u5(t), where y(0) = 0 and y′(0) = 1. Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 is the result of first doing the Laplace transform of both sides of the equation (s). To find Y(s), we rewrite the equation as Y(s) = U5(s) / (s2 + 4s + 13). Then, to get y(t), we use the inverse Laplace transform of both sides: y(t) = (1/24)e(-2t) + (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t). Finally, when t approaches infinity, we compute the limit: limt[infinity]y(t) = 0. As a result, as time gets closer to infinity, the initial value problem's solution gets closer to 0.

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Answer:

in a square all sides are equal so x has to equal

128

Hope This Helps!!!

Answer:

I cant draw 4 u sry

Answer:

A. c = 3.5h + 15

Step-by-step explanation:

I can't exactly draw the problem BUT I can still help.

C represents the cost altogether but we do not know how much the total cost would be.

So we're paying $15 as a fee, no more from that.

Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.

Now, c = 3.5h + 15.

(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)

If  an ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. The  probability is:  84.6%.

In this case, we have:

Population standard deviation (σ): $1200

Sample size (n): 400

Margin of error (E): $80

The standard deviation of the sample mean can be calculated as:

σM = σ / √n = 1200 / √400 = 60

To find the probability that the sample mean is within $80 of the population mean, we need to find the z-scores for the upper and lower limits of the interval:

Lower limit: z = (mean - E - population mean) / σM = (-80) / 60 = -1.3333

Upper limit: z = (mean + E - population mean) / σM = 80 / 60 = 1.3333

Using a standard normal distribution table or calculator, we can find the area under the curve between these two z-scores:

P(-1.3333 < Z < 1.3333) = 0.8461

Therefore, the probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol is approximately 0.846 or 84.6%.

Interpretation: This means that if we take many samples of 400 railroad-car shipments of ethanol and calculate their mean tariff rates, about 84.6% of these means will be within $80 of the true mean tariff rate of all ethanol shipments. This also means that there is a sampling error of $80, which is the maximum amount by which the sample mean may differ from the population mean due to random sampling variability.

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Answer:

-47-(-33) is greater

Step-by-step explanation:

the negative number and the subtraction end up to be addition

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

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The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

From the question, we have the following parameters that can be used in our computation:

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

The value of b when the equation is written in standard form is determined as: 6.

An equation can be expressed in standard form as:

Ax² + Bx + C = 0, where A, B, and C are constants.

Given that the situation is expressed by the equation, w² + 6w = 112, we can expressed this in standard form as follows:

w² + 6w = 112

Subtract 112 from both sides:

w² + 6w  - 112 = 112 - 112

w² + 6w - 112 = 0

The standard form is therefore, w² + 6w - 112 = 0, and the value of b is equal to 6.

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Answer:

y=35x+50

Step-by-step explanation:

The 50 is a one-time fee, therefore it is shown as addition

35 per day means that for 3 days, you would pay 105

X represents the number of days

Answer:

The conditional probability is given by

P(F|E) = P(E and F)/P(E)

P(F|E) = 0.2/0.4

P(F|E) = 0.5

P(F|E) = 50%

Step-by-step explanation:

Recall that the conditional probability is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(F|E) = P(E and F)/P(E)

Where P(F|E) is the probability of event F occurring given that event E has occurred.

The probability of event E and F is given as

P(E and F) = 0.2

The probability of event E is given as

P(E) = 0.4

So, the conditional probability is

P(F|E) = P(E and F)/P(E)

P(F|E) = 0.2/0.4

P(F|E) = 0.5

P(F|E) = 50%

Answer:

a- p-13

hope this helps you out

Answer:

50%

Step-by-step explanation:

if 2/2 is a whole you see its 100% but when its one half its 50%

1/2 can be 5/10 which is 50%

I added a chart for you to look at and remember! <3

—————

Thank you so much! -Doodle

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Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer && Step-by-step explanation:

Simply begin to solve for y:

=> y=2(x-1)-3

dist. 2

=>y=2x-2-3

simplify constants

==y=2x-5

slope equation y=mx+b

m=slope

b=y intercept

slope == 2

Answer:

Step-by-step explanation:

If 15 out of 50 students are twelve years old, we can estimate the proportion of twelve-year-olds in the whole school as follows:

Proportion of twelve-year-olds = 15/50

Simplifying this fraction by dividing both numerator and denominator by 5, we get:

Proportion of twelve-year-olds = 3/10

Similarly, if 20 out of 50 students are thirteen years old, we can estimate the proportion of thirteen-year-olds in the whole school as:

Proportion of thirteen-year-olds = 20/50

Simplifying this fraction by dividing both numerator and denominator by 10, we get:

Proportion of thirteen-year-olds = 2/5

Finally, if 15 out of 50 students are fourteen years old, we can estimate the proportion of fourteen-year-olds in the whole school as:

Proportion of fourteen-year-olds = 15/50

Simplifying this fraction by dividing both numerator and denominator by 5, we get:

Proportion of fourteen-year-olds = 3/10

Therefore, the best estimate of the proportion of students who are twelve, thirteen, and fourteen years old in the school, respectively, is:

3/10 are twelve years old

2/5 are thirteen years old

3/10 are fourteen years old

Answer:

30 members will play wind instruments

Answer:

30 would be the answer to the ?

Answer:

6300

Step-by-step explanation:

Answer:

6300

Step-by-step explanation:

Answer:

The answer is 26

Step-by-step explanation:

\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)

\( \: \: \: \: \: \: \: \: \: \orange{ \boxed{ \boxed{ \huge{ \tt{{ \: 26 \: }}}}}}\)

Answer:

  x = 12

Step-by-step explanation:

Step(i):-

From graph,

             The angle of the triangle ∝ = 45°

   Given hypotenuse of the triangle

              AC = 12√2  and AB = x

Step(ii):-

we will choose sine function

            \(sin\alpha = \frac{opposite side}{hypotenuse}\)

            \(sin\alpha = \frac{x}{12\sqrt{2} }\)

 Given that an angle ∝ = 45°

           \(sin45 = \frac{x}{12\sqrt{2} }\)

           \(\frac{1}{\sqrt{2} } = \frac{x}{12\sqrt{2} }\)

           \(\frac{1}{1 } = \frac{x}{12}\)

          x = 12

Final answer:-

x = 12

The original three numbers are 19/5, 38/5, and 57/5.

Let the original three numbers be x, 2x, and 3x, and let the common difference of the AP be d. Then, we have:

3 + d = x + 8 (1) (the new first term is x + 3, after adding 3)

3x - 8 = 2x + d (2) (the new third term is 3x - 8, after subtracting 8)

2x + d = 2(x + d) (3) (the second term of the AP is 2x)

From equation (3), we get:

d = 2x - 2d

Simplifying and substituting into equations (1) and (2), we get:

x = 19/5 and d = 12/5

Therefore, the original numbers are:

x = 19/5

2x = 38/5

3x = 57/5

And the second term of the AP is:

2x = 38/5

So, the original three numbers are 19/5, 38/5, and 57/5.

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