The table below lists the observed frequencies for all four categories for an experiment. Category Observed Frequency 1 23 2 12 3 34 4 11 The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. What is the expected frequency for the fourth category? The expected frequencies for the four categories are: Category 1: i Category 2: i Category 3: i Category 4: i What are the degrees of freedom for this test? i The significance level is 10%. What is the critical value of chi-square? O 7.779 O 9.488 O 7.815 O 6.251 What is the value of the test statistic, rounded to three decimal places? i

Answer:

slope = -1/4

Step-by-step explanation:

(-2,5) to (-1,1)

Linear Regression, It ranks among the most used machine learning regression algorithms. The output variables are predicted by a significant variable from the data set (future values)

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS). Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another.

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, Linear Regression, It ranks among the most used machine learning regression algorithms. The output variables are predicted by a significant variable from the data set (future values).

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Answer:

Polygon ;)

Step-by-step explanation:

Hope this helps make me brainliest if im right plz :)

1. The 401k account will have approximately $217,080 when you retire in 20 years.

2. The college fund will have approximately $23,988 when you turn 18

1. To determine how much money will be in the 401k account when you retire in 20 years, we can use the formula for future value of an annuity:

FV = PMT x (((1 + r/n)^(n*t)) - 1) / (r/n)

Where:

PMT = $2000 (the quarterly deposit)

r = 0.055 (5.5% annual interest rate)

n = 4 (quarterly compounding)

t = 20 (number of years until retirement)

Plugging in the values, we get:

FV = $2000 x (((1 + 0.055/4)^(4*20)) - 1) / (0.055/4)

FV ≈ $217,080

Therefore, the 401k account will have approximately $217,080 when you retire in 20 years.

2. To determine how much will be in the college fund when you turn 18, we can use the formula for future value of an annuity:

FV = PMT x (((1 + r/n)^(n*t)) - 1) / (r/n)

Where:

PMT = $100 (the monthly deposit)

r = 0.04 (4% annual interest rate)

n = 12 (monthly compounding)

t = 13 (number of years from age 5 to age 18)

Plugging in the values, we get:

FV = $100 x (((1 + 0.04/12)^(12*13)) - 1) / (0.04/12)

FV ≈ $23,988

Therefore, the college fund will have approximately $23,988 when you turn 18.

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Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

Nothing left for burgers,

Answer:

C

Step-by-step explanation:

Using Parts Whole Postulate we can write:

∠LQP = ∠LQR + ∠PQR

We know that ∠LQP = 77° and ∠LQR = 35° so we can write:

77° = 35° + ∠PQR

Therefore the answer is 77 - 35 = 42°.

Answer:

A dozen is 12.

12*5 = 60 eggs

5 dozen eggs are equal to 60 eggs.

A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.

When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.

To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):

5 dozen x 12 eggs/dozen = 60 eggs

Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.

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Answer:

Factoring polynomials is the inverse process of multiplying polynomials. After factoring a polynomial, if we divide the polynomial with the factors then the remainder will be zero.

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

The solution is, 128 combinations.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

We are told in the question that a frozen yogurt shop has:

8 flavors of frozen yogurt

2 kinds of syrup

8 toppings.

The combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is calculated as:

8 × 2 × 8

= 128 combinations

Therefore, the combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is 128 combinations.

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The variable that 360 represents in this context is the sample size or the number of credit card holders in the sample.

The fact that the average late fee was calculated based on the data from 360 credit card holders implies that a sample of 360 credit card holders was selected from a larger population of credit card holders, and the average late fee was calculated from this sample.

The sample size is an important variable in statistics because it affects the accuracy and precision of the estimates we make based on the sample data. In general, larger samples tend to provide more reliable estimates of population parameters, such as the population mean or the population standard deviation.

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Answer:

2kg

Step-by-step explanation:

Let the sum of the other 2 bricks be R. Given that the heaviest brick weighs 2/3 times as much as the other 2 bricks in total, then the weight of the heaviest brick H in terms of the weight of the other 2 will be

H = 2/3 * R

= 2R/3

Given that the 3 bricks weigh 5kg in total then,

2R/3 + R = 5

Multiply through the equation by 3

2R + 3R = 15

5R = 15

Divide both sides by 5

R = 15/5

= 3

The weight of the heaviest brick is 2R/3. Since R = 3, the heaviest block weighs

= 2 * 3/3

= 2kg

Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

Answer:

2π x radius

Step-by-step explanation:

π=3.14159.

hope this helps:)

The circumference of the circle is 2πr.

The circumference of a circle is the total length of the arc of a circle. It is also known as the perimeter of the circle. The distance from the center to any point on the circle is called the radius of the circle.

For the given question,

The formula of the circumference of the circle,

\(C = 2\pi r\)

where r is the radius of the circle.

Hence we can conclude that the circumference of the circle is 2πr.

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The equation that isolates one of the variables is:

B =3A-5

To isolate one of the variables, we need to rearrange the equations so that the variable appears by itself on one side of the equation.

In the given equations:

1) 3A - B = 5

2) 2A - 3B = -4

To isolate variable B, we can start with equation 1 and add B to both sides:

3A - B + B = 5 + B

Simplifying, we have:

3A = 5 + B

Similarly, to isolate variable A, we can start with equation 2 and subtract 2A from both sides:

2A - 3B - 2A = -4 - 2A

Simplifying, we have:

-3B = -4 - 2A

Thus, the equation that isolates variable B is B = 3A-5. This equation allows us to express B solely in terms of A, with the variable B appearing alone on one side.

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the complete question is:

Which of the following equations isolates one of the variables (A or B) from the given system of equations:

1) 3A - B = 5

2) 2A + 3B = -4

a) 3B = -2A - 4

b) B = 5 - 3A

c) B = 3A - 5

d) 2A = -3B - 4

Which equation, among the options a) to d), expresses one of the variables (A or B) by itself on one side of the equation, following the guideline that isolating a variable is easiest when one of the equations has a coefficient of 1 for that variable?

Answer:

2(a+2b+15)

Step-by-step explanation:

hope this helps!

The nurse should dispose of the mask. This exists because the safety mechanisms of the mask may be compromised and therefore pose a risk to the patient that exists undergoing surgery.

A surgical mask exists primarily utilized to protect patients and healthcare employees from people who may contain a respiratory infection or to protect sterilized or disinfected medical devices and supplies. The nurse should dispose of the mask. This exists because the safety mechanisms of the mask may be compromised and therefore pose a risk to the patient that exists undergoing surgery. It exists still suggested that medical personnel err on the side of warning when it arrives to the managing of equipment, whether it be a significant piece of equipment or even a small one like a surgical mask.

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Answer:

a. 5 n/p o 1 p/ 5n

b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos

Step-by-step explanation:

Se entiende como razón a la fracción que compara dos elementos entre sí.

Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:

- Por cada 15 mujeres hay 9 varones 9/15

- Por cada 9 varones hay 15 mujeres, 15/9

Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.

El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:

- Cada 3060 autos, 1720 son asiáticos

- Cada 3060 autos, 1320, son americanos

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Answer: 784

Step-by-step explanation:

There are the binomial coefficient "8 choose 2", i.e. \(\frac{8!}{2!6!}\) = 28 ways to choose 2 people from a set of 8 people. So, there are 28 ways to choose 2 men and 28 ways to choose 2 women. This means that there is \(28^{2}\) = 784 ways to choose both 2 men and 2 women.

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

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Answer:

6 and -6

Step-by-step explanation:

Since they're 12 units apart that means one of them is 6 and the fact they're opposites means the other is -12

Answer:

follow the drawings or u can use that (ayp +xnc

...) both same

Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

Answer:

\(64x^2+648x-124\)

if your question is

\(\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36\)

1) The dimension of the base of the pool is; (x + 3) and (x + 8)

2) The volume of the pool when x = 3 ft is;  198 ft³

3) If the volume is 100 ft³ of water, the height x is; 2 ft

4) If the maximum capacity of the pool is 520 ft³, the maximum depth is; 5 ft

We are given that the volume of water in a rectangular, in-ground, swimming pool is; V(x) = x³ + 11x² + 24x

where;

V(x) is the volume in cubic feet when the water is x ft high

1) V(x ) =x³ + 11x³ + 24x

V(x) is the volume in cubic feet when the water is x ft high

Factorizing the polynomial into its' factors gives;

V(x) = x(x² + 11x + 24)

V(x) = x(x + 8)(x + 3)

The water is x ft high and so the dimensions of the base of the pool are (x + 3) and (x + 8)

2) We want to find the volume of the pool when x = 3 ft. Thus;

V(3) = 3(3 + 8)(3 + 3)

V(3) = 3 (11)(6)

V(3) = 198 ft³

3) If the volume is 100 ft³ of water, the height x is calculated as;

x(x + 8)(x + 3) = 100

Solving for x gives us;

x = 2 ft

4) If maximum capacity of the pool is 520 ft³, then the maximum depth is;

x(x + 8)(x + 3) = 520

Solving for x gives us;

x = 5 ft

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