Which of the following is a required condition for a discrete
probability function?
Σf(x) < 0 for all values of x
f(x) ≤ 0 for all values of x
Σf(x) > 1 for all values of x
f(x) ≥ 0 for al

Answer:

960 cm^3

Step-by-step explanation:

The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:

(16x12)/2 = 96

The height is 10, so Volume is 96 x 10 = 960 cm^3

Answer:

(6, 4)

Step-by-step explanation:

R(2,4)=(2+4, 4)=(6, 4)

answer

explanation

(6,4)

Answer:

a. 24

b. 864

Step-by-step explanation:

a. The demand function is:

P = 60 - 2Q

When P = 12:

12 = 60 - 2Q

2Q = 60 - 12

2Q = 48

Q = 48/2 = 24

b. Consumer surplus is given as the integral of Demand function:

\(CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\\)

This implies that:

\(CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864\)

We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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The differential equation that satisfies the given amount of investment is A'(t) = rA(t)

Let the rate of investment = r

The amount of investment must satisfy the differential equation

A'(t) = r A(t)

Initial condition is the value of A(t) at t = 0

No compounding will be applied at t = 0 and the amount is equal to the original amount invested, known as principal.

If the Principal amount is P, then the initial condition is A(0) = P

Hence, the differential equation is A'(t) = rA(t)

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The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5

From the complete question, the given parameters are:

\(Ratio =3 : 4\) ---- the ratio

\(A = -6\)

\(B = 2\)

The student's steps are as follows:

\(C = \frac 34 (2 -(-6)) + (-6)\)

\(C = \frac 34 (8) + (-6)\)

\(C = 6 -6\)

\(C = 0\)

To determine the position of point C from the given ratio, we make use of the following quotient;

\(Position = \frac 3{3 + 4}\)

\(Position = \frac 37\)

This means that, the student ought to add 3 and 7, to get the total number of section.

Hence, the student's work is incorrect, and the reason is (a)

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Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

edge 2022

Answer: f(x)+3

Step-by-step explanation:

g is 3 units ABOVE f. Therefore, f(x)+3 is the only answer, since f(x+3) would only shift the graph to the left, f(x-3) would shift the graph to the right, and f(x)-3 would translate the graph 3 units DOWN, not up. So, the correct answer is f(x) + 3

Answer: -112/8=-14

Step-by-step explanation: Quotient means to divide.

Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) \($-(\sqrt[3]{8}) = -2$\)

(b) \($\sqrt[4]{-81}$\) is not a real number

(a) \($-(\sqrt[3]{8})$\):

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because \(2^3 = 8\).

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, \($-(\sqrt[3]{8}) = -2$\).

(b) \($\sqrt[4]{-81}$\):

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

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The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

In this question we must infer what kinds of rigid transformations were used to obtain g(x) in terms of f(x). Points A and B belong to the function f(x) and points A' and B' lie on the curve of function g(x). Rigid transformations are transformations applied on functions such that Euclidean distance is conserved.

We noticed the use of rigid transformations on f(x) such that g(x) is found:

Vertical dilation

f'(x) = k · f(x), where k > 0

Vertical translation

g(x) = k · f(x) + c, where c is the translation factor.

We notice that both f(x) and g(x) are both cubic functions. The former has a vertex at (x, y) = (0, 1.5). First, we determine the coefficients of f(x) by solving the following system of linear equations:

(x₁, y₁) = (1, 6), (x₂, y₂) = (- 2, - 30), (x₃, y₃) = (0, 1.5), (x₄, y₄) = (- 1, - 4)

a + b + c + d = 6

- 8 · a + 4 · b - 2 · c + d = - 30

d = 1.5

- a + b - c + d = - 4

The solution of the system is (a, b, c, d) = (13 / 4, - 1 / 2, 7 / 4, 3 / 2). Then, the expression for the function f(x) is f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2.

Now we evaluate the function f(x) at x = 7 and x = - 8:

f(7) = (13 / 4) · 7³ - (1 / 2) · 7² + (7 / 4) · 7 + 3 / 2

f(7) = 1104

f(- 8) = (13 / 4) · (- 8)³ - (1 / 2) · (- 8)² + (7 / 4) · (- 8) + 3 / 2

f(- 8) = - 3417 / 2

Now we determine the coefficient of dilation and the translation factor:

f(7) = 1104, f(- 8) = - 3417 / 2, g(7) = 2.5, g(- 8) = - 6.5

2.5 = 1104 · k + c

- 6.5 = - 3417 · k / 2 + c

The solution of the system of linear equations is (k, c) = (250 / 47489, 2.494). Then, we find that the expression for g(x) is g(x) = (250 / 47489) · [(13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2] + 2.494, whose simplest form is:

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.494

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

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To complete the table for different batches of the recipe, you need to multiply these amounts by the number of batches you want to make. The correct answer you provided, 7/8, represents the amount of sugar needed for 1.5 batches of the recipe.

To calculate the amount of sugar and flour needed for different batches of the recipe, you can use simple multiplication. For example, if you want to make 2 batches of the recipe, you would need 1 cup of sugar (1/2 cup x 2) and 2 cups of flour (1 cup x 2). Similarly, if you want to make 1.5 batches of the recipe, you would need 3/4 cup of sugar (1/2 cup x 1.5) and 1.5 cups of flour (1 cup x 1.5).

In summary, to complete the table for different batches of the recipe, you need to multiply the amount of sugar and flour required for one batch by the number of batches you want to make. The correct answer you provided, 7/8, represents the amount of sugar needed for 1.5 batches of the recipe.

In the second paragraph, I'll explain how to calculate the amounts of sugar and flour needed for different batches of the recipe in more detail. To do this, you need to use the given amounts of sugar and flour for one batch of the recipe as a starting point. You can then multiply these amounts by the number of batches you want to make to get the total amount of each ingredient needed.

For example, to calculate the amount of sugar needed for 2 batches of the recipe, you would multiply 1/2 cup of sugar by 2, which gives you 1 cup of sugar. Similarly, to calculate the amount of flour needed for 2 batches of the recipe, you would multiply 1 cup of flour by 2, which gives you 2 cups of flour. You can follow this same process to calculate the amounts of sugar and flour needed for any number of batches.

To calculate the amount of sugar and flour needed for a fraction of a batch, such as 1.5 batches, you can multiply the amount of each ingredient required for one batch by the fraction. For example, to calculate the amount of sugar needed for 1.5 batches of the recipe, you would multiply 1/2 cup of sugar by 1.5, which gives you 3/4 cup of sugar. Similarly, to calculate the amount of flour needed for 1.5 batches of the recipe, you would multiply 1 cup of flour by 1.5, which gives you 1.5 cups of flour.

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The SI base unit for measuring temperature is 4) Kelvin. Temperature is a physical quantity that measures the degree of hotness or coldness of an object or a system.

The International System of Units (SI) is a globally accepted system of measurement. In SI, temperature is measured using the Kelvin (K) scale, which is the SI base unit for temperature.

The Kelvin scale is based on the absolute zero point, which is the lowest possible temperature where all molecular motion ceases. Absolute zero is defined as 0 Kelvin (0 K). Temperature increments on the Kelvin scale are equivalent to increments on the Celsius scale, with 1 Kelvin being equal to 1 degree Celsius.

The other options listed, such as Celsius and Fahrenheit, are not SI base units for temperature but are commonly used in everyday contexts. Celsius (°C) is widely used in many countries and is based on the Celsius scale, which sets the freezing point of water at 0°C and the boiling point of water at 100°C at sea level. Fahrenheit (°F) is used mainly in the United States and a few other countries and has its freezing point at 32°F and boiling point at 212°F at sea level. However, neither Celsius nor Fahrenheit is considered an SI base unit for temperature.

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To calculate the time it would take to travel from Georgia to New Jersey, we need the distance between the two states. If we assume an average distance of 800 miles, it would take approximately 12.31 hours to travel at a constant speed of 65 mph.

To calculate the time, we can use the formula: Time = Distance / Speed. In this case, the distance is 800 miles and the speed is given as 65 mph.

Using the formula, we can calculate the time as follows: Time = 800 miles / 65 mph ≈ 12.31 hours.

It is important to note that this is an estimated calculation based on the assumption of 800 miles. The actual time it would take to travel from Georgia to New Jersey may vary depending on the specific distance between the two states.

However, if we assume an average distance of 800 miles, it would take approximately 12.31 hours to travel at a constant speed of 65 mph.

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Answer:

it would be 90 or 98

Step-by-step explanation:

Answer:

The first hour is 14 euros and each hour after that is 2 euros.

Answer:

2.5(2-(-6))

Step-by-step explanation:

first of all,

the difference between 2 and -6 is

2-(-6)

then product of 2.5 with this difference is

2.5× (2-(-6)=

2.5(2-(-6))

Answer:

True :)

Please mark me brainliest!

Answer:

Dear user,

Answer to your query is provided below

The fraction of the circuit is (3/14)

Step-by-step explanation:

Explanation of the same is attached in image

Answer:

3/14

Step-by-step explanation:

Answer:

What is a biased sample? How can biased sampling affect the statistical study of a

population?

Answer:

ms girll i think you multiply

Answer:

3. 147 \(ft^{3}\)  4. \(\frac{160}{3} \pi\) \(ft^{3}\)

Step-by-step explanation:

3. Volume of a square pyramid = \((base.edge.length)^{2}\) × \(\frac{height}{3}\)

Variables:

V = volume

x = base edge length

h = height

V = \(x^{2}\)  × \(\frac{h}{3}\)

x = 7 ft

h = 9 ft

Plug the values in the equation:

V = \(7^{2}\) × \(\frac{9}{3}\)

V = 49 × 3

V = 147 \(ft^{3}\)

4. Volume of cone = \(\pi r^{2} \frac{h}{3}\)

Variables:

V = volume

r = radius

h = height

V = \(\pi r^{2} \frac{h}{3}\)

r = 8ft /2 = 4 ft (radius is half of the diameter)

h = 10 ft

V =  \(\pi 4^{2} \frac{10}{3}\)

V = \(\pi\) × 16 × \(\frac{10}{3}\)

V = \(\frac{160}{3} \pi\) \(ft^{3}\)

Answer:

1155

Step-by-step explanation:

Total number of cards is 2730+3570=6300

Since Kim now has 3 times the card of Julie so Julie must have 6300/4=1575.

So, Julie gave 2730-1575=1155

Answer:

1155 cards

Step-by-step explanation:

3(2730-x)=3570+x

8190 - 3x = 3570 + x

4620 - 3x = x

4620 = 4x

1155 = x

Answer:

  6 km/h

Step-by-step explanation:

You want to know the speed of the stream if it takes a boat an hour longer to travel 24 km upstream than the same distance downstream, when the boat travels 18 km/h relative to the water.

The relation between time, speed, and distance is ...

  t = d/s

The speed of the current subtracts from the boat speed going upstream, and adds to the boat speed going downstream.

The time relation for the two trips is ...

  24/(18 -c) = 24/(18 +c) +1 . . . . . . where c is the speed of the current

Subtracting the right side expression from both sides, we have ...

  \(\dfrac{24}{18-c}-\dfrac{24}{18+c}-1=0\\\\\dfrac{24(18+c)-24(18-c)-(18+c)(18-c)}{(18+c)(18-c)}=0\\\\48c-(18^2-c^2)=0\\\\c^2+48c-324=0\\\\(c+54)(c-6)=0\\\\c=\{-54,6\}\)

The solutions to the equation are the values of c that make the factors zero. We are only interested in positive current speeds that are less than the boat speed.

The speed of the current is 6 km/h.

__

Additional comment

It takes the boat 2 hours to go upstream 24 km, and 1 hour to return.

<95141404393>

The speed of the stream is 6 km/h.

Let's assume the speed of the stream is "s" km/h.

When the boat is traveling upstream (against the stream), its effective speed is reduced by the speed of the stream. So, the speed of the boat relative to the ground is (18 - s) km/h.

When the boat is traveling downstream (with the stream), its effective speed is increased by the speed of the stream. So, the speed of the boat relative to the ground is (18 + s) km/h.

We are given that the boat takes 1 hour more to go 24 km upstream than to return downstream to the same spot. This can be expressed as an equation:

Time taken to go upstream = Time taken to go downstream + 1 hour

Distance / Speed = Distance / Speed + 1

24 / (18 - s) = 24 / (18 + s) + 1

Now, let's solve this equation to find the value of "s", the speed of the stream.

Cross-multiplying:

24(18 + s) = 24(18 - s) + (18 + s)(18 - s)

432 + 24s = 432 - 24s + 324 - s^2

48s = -324 - s^2

s^2 + 48s - 324 = 0

Now we can solve this quadratic equation for "s" using factoring, completing the square, or the quadratic formula.

Using the quadratic formula: s = (-48 ± √(48^2 - 4(-324)) / 2

s = (-48 ± √(2304 + 1296)) / 2

s = (-48 ± √(3600)) / 2

s = (-48 ± 60) / 2

Taking the positive root since the speed of the stream cannot be negative:

s = (-48 + 60) / 2

s = 12 / 2

s = 6 km/h

As a result, the stream is moving at a speed of 6 km/h.

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Solution:

The number of enrollment in southern maine campus is

The total amount to be shared by 7 campuses is

Concept:

To calculate the amount of money to be received by southern main campus, we will use the formula below

The total number of students will be calculated below as

Hence,

By substituting the values, we will have

Hence,

The amount southern maine receives based on enrollment will be = $ 119,344,870.20

Answer:

-40/21

Step-by-step explanation:

(-4/7) + (-4/3) =

First you need to find a common denominator:

(-4/7)(3/3) + (-4/3)(7/7) =

(-12/21) + (-28/21) =

Then combine the two fractions:

(-40/21)

And because you cannot simplify further, you are finished.

Answer:

quart of oil = $1.25

labour = $13.25

Step-by-step explanation:

let x = cost of each quart of oil

y = flat fee for labour

two equations can be formed from the question

5x + y = 19.50 equation 1

7x + y = 22       equation 2

subtract equation 1 from 2

2x = 2.5

divide both sides by 2

x = 1.25

substitute for x in equation 1

5(1.25) + y = 19.50

y = 19.50 - 6.25

y = $13.25

The best candidate for the job based on the scores in the aptitude test is Cade. The reason behind this is because Cade got the highest score of 302.4 compared to the scores of Justin and Kaitlyn. The scores of Justin and Kaitlyn are not close to the mean of their test versions, which suggests that they did not perform well in their respective tests.

Justin got a score of 92; this version has a mean of 72.8 and a standard deviation of 12. Using the formula of the
Z-score, we can calculate Justin's Z-score:
Z = (X - µ) / σZ = (92 - 72.8) / 12Z = 1.4333
Cade got a score of 302.4; this version has a mean of 243 and a standard deviation of 27.Using the formula of the Z-score, we can calculate Cade's Z-score: Z = (X - µ) / σZ = (302.4 - 243) / 27Z = 2.2
Kaitlyn got a score of 8.83; this version has a mean of 7.5 and a standard deviation of 0.7. Using the formula of the Z-score, we can calculate Kaitlyn's Z-score:
Z = (X - µ) / σZ = (8.83 - 7.5) / 0.7Z = 1.9. From the calculated Z-scores, we can tell that Cade has the highest score, which suggests that he performed best on the test. Therefore, Cade should be offered the job.

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Answer:

5 chairs to 5 tables

5:5

all you have to do is count them and write them in ratio

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade