For the equations below q is the total number of units produced value of m. q= 40
400m−m 2
​
,p=−0.3q+90,m=80 The marginal-revenue product when m=80 is (Type an infeger

Answer:

23.

the answer is 33. But when i round its 23.

Step-by-step explanation:

The expected value of a ticket in the given lottery game is -$0.60, indicating that, on average, a person can expect to lose $0.60 per ticket.

To calculate the expected value of a ticket, we need to multiply the value of each prize by its respective probability and sum them up.

For the grand prize of $4 million, the probability of winning is 1 divided by the total number of tickets sold, which is 1/3.5 million. Therefore, the contribution to the expected value from the grand prize is (1/3.5 million) * $4 million.

For the second prize of $30, there are 10,000 winners out of 3.5 million tickets sold, giving a probability of 10,000/3.5 million. The contribution from the second prize is (10,000/3.5 million) * $30.

Similarly, for the third prize of $5, there are 50,000 winners out of 3.5 million tickets sold, giving a probability of 50,000/3.5 million. The contribution from the third prize is (50,000/3.5 million) * $5.

To calculate the expected value, we sum up the contributions from each prize and subtract the cost of the ticket, which is $2.

The result is the expected value of -$0.60, indicating an average loss of $0.60 per ticket.

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In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

at first we should find the equation of this line so we should find a in the equation of y = a x + b and we do not care about b as it is parallel so a = ( (4 -(-2)) ÷ 1 -(-2)) = 2 so y = 2 x + b and we put x = 3 and y = 7 the result is 7 = 2×3 + b and b = 7 - 6 = 1 the equation is y = 2x + 1

Answer:

3/4 or 1/4 stays

Step-by-step explanation:

7/10 is 17th term of sequence a₁₆ = 1/5, d= 1/2.

Given the 16th term and the common difference, we add the common difference from the 16th term to determine the 17th term:

a₁₇ =  a₁₆ + d

    =  1/5 + 1/2

    = 7/10

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

Step-by-step explanation:

Answer:

a. AB is congruent to BC   Not True

b. AB is parallel to BC        Not True

c. AD is parallel to BC        True

d. \ is congruent to \C        Not True

Step-by-step explanation:

To convert a quadratic equation to vertex form, complete the square by grouping and then write the equation in the form y=a(x-h)^2+k, where (h,k) represents the vertex of the parabola. This form makes it easier to identify the vertex, axis of symmetry, and the direction in which the parabola opens.

How to convert a quadratic equation to vertex form?

To sketch the quadratic relation, we can use the vertex (-5, -2) and plot a few additional points:

- When x = -6, y = (-6 + 5)² - 2 = 4

- When x = -4, y = (-4 + 5)² - 2 = 4

- When x = -3, y = (-3 + 5)² - 2 = 6

- When x = -2, y = (-2 + 5)² - 2 = 9

- When x = -1, y = (-1 + 5)² - 2 = 14

- When x = 0, y = (-5)² - 2 = 23

- When x = 1, y = (1 + 5)² - 2 = 34

The quadratic relation in vertex form is y = (x+5)² - 2, where the vertex is (-5, -2) andthe graph is a parabola opening upwards. The value of `a` is 1.

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Answer:

b

Step-by-step explanation:

sorry if wrong dont report

Answer:

can barely read the graph luv :(

To determine the number of beads that contain at least two different colors, subtract the number of beads that contain only one color from the total number of beads.

1. Calculate the number of beads that contain exactly one color:

2. Calculate the total number of beads:

3. Subtract the number of beads that contain only one color from the total number of beads to find the number of beads with at least two different colors:

Let's take an example to illustrate this:

Suppose there are 4 different colors available (n = 4), and there are a total of 100 beads (m = 100).

Calculate the number of beads that contain exactly one color:

Number of beads with exactly one color = n * n = 4 * 4 = 16.

Calculate the number of beads with at least two different colors:

Number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.

Number of beads with at least two different colors = 100 - 16 = 84.

So, in this example, there are 84 beads that contain at least two different colors.

In general, to find the number of beads that contain at least two different colors, subtract the number of beads with exactly one color from the total number of beads, using the formula derived in steps 1 and 2.

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Answer:

Step-by-step explanation:

You want to know how much money Abby and Ben each have if when Abby gives $10 to Ben, then they will have the same mount of money. If Ben gives $20 to Abby, then she'll have four times as much as he has.

The transfers give rise to two equations:

  (A-10) = (B +10)

  (A +20) = 4(B -20)

Using the first equation, we can write an expression for A:

  A = B +20

This can be substituted into the second equation to give ...

  (B +20) +20 = 4(B -20)

  B +40 = 4B -80 . . . . simplify

  120 = 3B . . . . . . . . . . add 80-B

  40 = B . . . . . . . . . . . . divide by 3

  A = B +20 = 60 . . . . Abby's amount

Abby has $60; Ben has $40.

Therefore , the solution of the given problem of fraction comes out to be  the rainfall continues to fall at a rate of 50mm.

Any number of equal amounts or fractions can be used to represent a whole. In standard English, the quantity of a certain size is stated as a fraction. 8, 3/4. Wholes also include fractions. Numbers are represented in mathematics by the fraction to numerator ratio. These are all straightforward integer fractions. There is a fraction in the denominator of a difficult fraction. because the calculations, numerators, and numerators of actual fractions vary.

Here,

the amount of rainfall in Miami over s two hour period. If the rain continues to fall at this rate,

=> Radius

=>  fraction = 127/2 =63.5 mm

=> 2 hours rainfall

Per hour rainfall = 10 mm

=> After 5 hours

=> 50 mm

So,

the rainfall continues to fall at a rate of 50mm.

Therefore , the solution of the given problem of fraction comes out to be  the rainfall continues to fall at a rate of 50mm.

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Answer: 111 ft tall. Thats a big tree!

Step-by-step explanation: if its seven more than two times the height of the house, do 52 X 52 + 7 which equals 111 ft.

"the probability that a student plays video games given that the student is female." is an example of a conditional probability.The correct answer is option C.

A conditional probability is a probability that is based on certain conditions or events occurring. Out of the options provided, option C is an example of a conditional probability: "the probability that a student plays video games given that the student is female."

Conditional probability involves determining the likelihood of an event happening given that another event has already occurred. In this case, the event is a student playing video games, and the condition is that the student is female.

The probability of a female student playing video games may differ from the overall probability of any student playing video games because it is based on a specific subset of the population (female students).

To calculate this conditional probability, you would divide the number of female students who play video games by the total number of female students.

This allows you to focus solely on the subset of female students and determine the likelihood of them playing video games.

In summary, option C is an example of a conditional probability as it involves determining the probability of a specific event (playing video games) given that a condition (being a female student) is satisfied.

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The probability that at least one box contains the ball with matching label is \((\frac{1}{100} )^{100}\).

Given that:-

Number of labeled boxes = 100

Number of labeled balls = 100

We have to find the probability that at least one box contains the ball with matching label.

We know that,

Probability that at least one box contains the ball with matching label + Probability that no box contains the ball with matching label = 1

Hence, we can write,

Probability that at least one box contains the ball with matching label  = 1 - Probability that no box contains the ball with matching label.

Hence,

Probability that no box contains the ball with matching label = \(\frac{99^{100}}{100^{100}} = (\frac{99}{100} ) ^{100}\)

Therefore,

Probability that at least one box contains the ball with matching label  =

1 - \((\frac{99}{100} ) ^{100}\) = \((\frac{100}{100} )^{100}-({\frac{99}{100} })^{100}=(\frac{1}{100} )^{100}\).

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Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Let the number be Y

If the sum of a number and seven is doubled, the result is six less than the number, The statement is as expressed below

2(Y+7)= Y-6

Find the value of Y

2Y+14=Y-6

Put the like terms together

2Y-Y=-6-14

Y=-20

The number is therefore -20

Verifying

2(-20+7)=-20-6

2(-13)=-26

-26=-26

Answer: Find the answer with the largest absolute value.

Step-by-step explanation:

Out of this list:

-25 -> |-25| = 25

-42 -> |-42| = 42

-16 -> |-16| = 16

-3 -> |-3| = 3

Your answer would be -42, as that is farthest from 0.

Out of this list:

40 -> |40| = 40

32 -> |32| = 32

96 -> |96| = 96

101 -> |101| = 101

Your answer would be 101, as that is the farthest from 0.

Answer:

6.8=6 8/5

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hope it help

The area of the polygon are:

1. 3358 square inch

2. 54 square yd

3. 54 square in

4. 384 square units

5. 18 square ft

6. 356.76 square yd

1. Rectangle

formula: length x width

= 73 * 46

= 3358 square inch

2. Parallelogram

formula: base x height

= 3 * 18

= 54 square yd

3. Parallelogram

formula:1/2 (sum of parallel lines) x height

= 1/2 (3 + 17) x 8

= 54 square in

4. Kite

formula:1/2 product of diagonals

= 1/2 (12 + 20) x (12 + 12)

= 384 square units

5. Triangle

formula: 1/2 x base x height

= 1/2 x 9 x 4

= 18 square ft

5. Regular pentagon

formula: 1/2 x perimeter x apothem

= 1/2 x (5 x 14.4) x 9.91

= 356.76 square yd

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Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Answer:

150π cu. units

Step-by-step explanation:

V = Bh where B is the area of the circular base and h is the distance between the bases (height)

B = \(\pi r^{2}\) = \(\pi 5^{2}\) = 25π

V =  25π(6) = 150π cu. units

Answer: V = 471 m^3

In terms of PI - V = 150 π m^3

Step-by-step explanation:

V = πr2h

V = 3.14(5)^2(6)

V = 3.14(25)(6)

V = 471 M^3

or  

V = 3.14 (25)(6)

V = 150 π m^3

Answer:

64.4 miles per hour

Step-by-step explanation:

divide the amount of miles by the amount of hours to get miles per hour

Answer:

15s-2s^2-4

Step-by-step explanation:

Step-by-step explanation:

15s-2s^2-4 and is the best

The slope of the hill is steepest in the direction of 152 degrees from north.

To find the direction of the steepest slope, we need to determine the gradient of the hill function at the given point. The gradient is a vector that points in the direction of the steepest increase of a function.

The gradient of a function of two variables (x and y) is given by the partial derivatives of the function with respect to each variable. In this case, we have the function h(x, y) = 18(16 − 4x^2 − 3y^2 + 2xy + 28x − 18y).

We first calculate the partial derivatives:

∂h/∂x = -72x + 2y + 28

∂h/∂y = -54y + 2x - 18

Next, we substitute the coordinates of the given point, which is 2 miles north and 3 miles west of Bolton, into the partial derivatives. This gives us:

∂h/∂x (2, -3) = -72(2) + 2(-3) + 28 = -144 - 6 + 28 = -122

∂h/∂y (2, -3) = -54(-3) + 2(2) - 18 = 162 + 4 - 18 = 148

The gradient vector is then formed using these partial derivatives:

∇h(2, -3) = (-122, 148)

To find the direction of the steepest slope, we calculate the angle between the gradient vector and the positive y-axis. This can be done using the arctan function:

θ = arctan(∂h/∂x / ∂h/∂y) = arctan(-122 / 148) ≈ -37.95 degrees

However, we need to adjust the angle to be measured counterclockwise from the positive y-axis. Therefore, the direction of the steepest slope is:

θ = 180 - 37.95 ≈ 142.05 degrees

Since the question asks for the direction from north, we subtract the angle from 180 degrees:

Direction = 180 - 142.05 ≈ 37.95 degree

Therefore, the slope of the hill is steepest in the direction of approximately 152 degrees from north.

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Answer:

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

\(\sqrt[3]{x} =-1\)

We cube both sides

\((\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1\)

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

\(\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1\)

There you have it, cubing both sides of an equation is reversible.

Answer:

B. 60%

Step-by-step explanation:

Formula to be used:

Percent of Increase/Decrease = Final Price ÷ Original Price x 100

Substitute

510 ÷ 850 = 0.6

Turn into percentage

0.6 x 100 = 60%

Answer:

21/143

Step-by-step explanation:

If it was simplified into a decimal it would be .146853