A large group of mice is kept in a cage having compartments A, B and C Mice in compartment A move to B with probability O2 and to C with probability 04 Mice in B move to A or with probabilities 0 25 and 045, respectively Mice in C move to A or B with probabilities 04 and 0.3 respectively. Find the long-range prediction for the fraction of mice in each of the compartments The long range prediction for the fraction of mice is in compartment A __ , in compartment B __ , and in compartment C ___.

Step-by-step explanation: First you convert the equation into standard form, which is y=mx+b . Then graph it. When it is in the form y=mx+b it is easier to graph. Then you can see the intercepts on the graph and come up with your answer.

Hope this helps!

Answer:

11/18 which is 6.11

Step-by-step explanation:

The marketing research department for a company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: Price-demand function:**\($P(x) = 75 - 3x$ AND Revenue function:** $R(x) = x \cdot P(x) = 75x - 3x^2$.\)

The price-demand function gives the price of a memory chip as a function of the number of chips sold. The revenue function gives the total revenue from selling $x$ chips.

The price-demand function is decreasing because as more chips are sold, the price per chip must decrease in order to sell all of the chips. The revenue function is also decreasing because as more chips are sold, the price per chip decreases, which means that the total revenue decreases.

The revenue function reaches its maximum value when $x = \frac{75}{3} = 25$. This is because the revenue function is a quadratic function, and quadratic functions have a maximum value.

The maximum revenue is  \($R(25) = 75 \cdot 25 - 3 \cdot 25^2 = 375$.\) This means that the company can earn a maximum revenue of $\$375$ by selling 25 memory chips.

The marketing research department can use these functions to predict the demand for memory chips and to set prices that will maximize the company's revenue.

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Answer:

rotated

Step-by-step explanation:

rotated

reflected

translated

dilated

Answer:

a. rotated

Step-by-step explanation:

Answer:            ☆

y=x+6

Step-by-step explanation:

1 is the slope

6 is the y-intercept

:)

Answer:

\(m = \frac{14 - 7}{2 - 0} = \frac{7}{2} \)

\(14 = \frac{7}{2} (2) + b\)

\(14 = 7 + b\)

\(b = 7\)

\(y = \frac{7}{2} x + 7\)

Answer:

78.274 (Steps shown below)

Step-by-step explanation:

Rectangle Area

6 x 12 =50

Circle (put the 2 half circles together)

Circle area = π * r² = π * 9 [inch²] ≈ 28.274 [in²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 3 [inch] * 2 = 6 [inch]

Area of Circle= 28.274

The measure of angle D is ∠D = 65°.

Two triangles are said to be similar if there corresponding sides are proportional and their corresponding angles are equal.

Given is that triangle ΔABC is similar to triangle ΔDEF.

We can write -

∠D + x + 90° = 180°

∠D = 90° - x

Since both the triangles are similar, we can write -

∠D = ∠A

{90° - x} = {2x + 15}°

3x = 75°

x = 25°

∠D = 90 - x = 65°

∠D = 65°

Therefore, the measure of angle D is ∠D = 65°.

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Answer:

8

Step-by-step explanation:

it just is

Answer:

8

Step-by-step explanation:

Convert to a decimal

32%

move two decimal points to the left

0.32

multiply

0.32 times 25 = 8

Based on the cost of the property to Julie in 2007 and the various costs incurred since then, the amount of gain would be $166,350.

First find cost Julie has incurred in total:
= 236,500 + 5,250 + 25,000 - 4,100

= $262,650

The gain is therefore:

= Selling price - Total cost incurred

= 429,000 - 262,650

= $166,350

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YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

\(\Large \boxed{\mathrm{D}}\)

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

\(\angle QUR \cong \angle TUS\)

The vertical angles are congruent.

\(\angle R \cong \angle S\)

The alternate interior angles are congruent.

Answer:

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

i also provided with a chart i dont know if it will help

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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in a one-way anova, there is no interaction term.

A statistical technique called analysis of variance, or ANOVA, divides observed variance data into several components for use in further testing. When there are three or more data groups, a one-way ANOVA is used to find out how the dependent and independent variables are related. A statistical test called an analysis of variance, or ANOVA, is used to compare the means of more than two groups. ANOVA is a statistical method used to determine if the means of two or more groups differ from one another substantially. ANOVA compares the means of various samples to examine the influence of one or more factors.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

Answer:

I think it would be A... Sorry if im wrong I haven't done this kind of question in a while...

Answer:

B

Step-by-step explanation:

Hey There!

To solve this problem we have to add the total number of students recorded.

10+8+9+6+2=35

then we divide 35 from 100 ( we do this when trying to find percentages

\(\frac{100}{35}=2.87142857\)

then we multiply that by how many students that were able to do at least 30 or more push ups

we see that 8 students were able to do at least 30 or more push ups so we multiply

2.87142857x8= which is equal to 22.8

then we round to the nearest whole and get that

23% of the students were able to do 30 or more pushups

hope this helps :)

Fred's pay for the specified week, with a rate of $11.25 for regular hours and time and a half for overtime, and number of hours worked of 48.5 hours is presented by completing the attached table as follows;

Rate: $11.25, regular hours: 40, overtime: N/A, total: $450

Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375

Gross: $593.4375

A payment rate is the amount of payment or money that is received in a unit of time.

The amount Fred earns per hour = $11.25

The number of regular hours Fred works per week = 40

The rate at which he is paid for overtime = Time and a half

The number of hours Fred works in the specified week = 48.5 hours

Therefore, the amount Fred earns for working overtime = 1.5 × $11.25 = $16.875

The amount Fred earns for regular hours during the specified week = 40 × $11.25 = $450

The number of overtime hours Fred works for during the week = 48.5 - 40 = 8.5

The amount Fred earns for the overtime work = 8.5 × $16.875 = $143.4375

Fred's gross payment for the week is therefore; $450 + $143.4375 = $593.4375

The table can therefore be completed by plugging in the above values as follows;

Rate: $11.25, regular hours: 40, overtime: N/A, total: $450

Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375

Gross: $593.4375

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Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.

The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is 303.

1313 - 1010 = 303

Based on this, the two numbers are 1010 and 1313

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Answer:

See bolded for each part below.

Step-by-step explanation:

Attachment 1. (a) The range is 400 dollars, as her greatest balance was 400 dollars, so her domain would be 3 weeks.

( b ) Remember that B(0) models the balance over the course of 0 days. As you can see that starting mark is about half of the greatest balance on the graph, 400 dollars. Therefore you can estimate B(0) to be $200.  

(c) B(12) models the balance over the course of 12 days. It mentions that at B(12) the balance reaches $0, so in function notation that would be B(12) = 0.

(d) Segment 4 would represent that information. As you can see on the graph, the only time period with which the balance became 0 is represented by the fourth segment.

Attachment 2. (a) As you can see on the graph, Ebony reached $400 on day 4, and stayed as such throughout day 8 (modeled by line segment 2). Therefore B(5) = 400 = B(6) = B(7).

(b) We also know that B(0) = ( About ) 200, B(4) = 400. Therefore B(1) = 250, B(2) = 300, B(3) = 350. The slope changes by a rate of 50.

(c) Jade is incorrect. By looking at the graph you can see that the rate from day 8 to day 12 is greater than the rate from day 0 to day 4.

Attachment 3. (a) I would say the amounts she deposited were less than $100 per day. Remember that from day 0 to 4 the slope is about 50. The slope of the line segment that models this situation, line segment 6, has about the same slope, 50.

(b) On day 21 she had 300 dollars, as it seems that this marking is between the starting amount (200) and 400. There are 5 days between 16 and 21. On day 16 she deposited 100 dollars. From then on she apparently deposited 50 dollars,

100 + 50 * 4 = 100 + 200 = 300 ✓

The distance traveled is equal to sin^2(θ), as seen before.

To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.

Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)

Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)

Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):

Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

Using the substitution u = sin(t), du = cos(t) dt, we get:

Distance traveled = ∫(2 * u du) from 0 to sin(θ)

Now, integrating with respect to u, we get:

Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)

The length of the curve can be computed as the arc length:

Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.

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Answer:

Down

3

2

Step-by-step explanation: on edge trust me.

Answer:

Adding –2i to z results in a shift  ✔ down . The resulting number is   ✔ 3  –  ✔ 2 i.

Step-by-step explanation:

just did it on edge :)

good luck

please mark me brainliest!!

Answer: 4x+5

Step-by-step explanation: it has been reflected over the x- axis

Answer:

15, 23, 31, 39, 47

Step-by-step explanation:

y=8x+15

y=8(0)+15 = 15

y=8(1)+15 = 23

y=8(2)+15 = 31

y=8(3)+15 = 39

y=8(4)+15 = 47

This is very true for a function that is continuous.

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

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Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

The expected number of rolls until all faces have appeared in some order in six consecutive rolls is 1 / [1 - (5/6)^6].

To find the probability that all faces have appeared in some order in six consecutive rolls of a 6-sided die, we can use the principle of inclusion-exclusion.

Let's calculate the probability of the complement event first, which is the probability that at least one face is missing from the sequence in six consecutive rolls.

In the first roll, there are 6 possibilities for the face that appears. In the second roll, there are 5 possibilities remaining, and so on. Therefore, the probability of missing a face in one roll is (5/6).

Since we want to find the probability of missing a face in six consecutive rolls, we multiply the probabilities together: (5/6)^6.

Now, to find the probability of all faces appearing in some order in six consecutive rolls, we can subtract the probability of the complement event from 1.

Probability = 1 - (5/6)^6.

For the expected number of rolls until such a sequence appears, we can use the concept of geometric distribution. The expected number of rolls for a geometric distribution is equal to 1 divided by the probability of success.

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