What contribution did al-khwarizmi make to the world of mathematics.

The degrees of freedom for the between groups would be 4-1 = 3 and the degrees of freedom for the within groups would be 24-4 = 20.

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

The number of factor levels being compared for this ANOVA procedure cannot be determined from the given information. The degrees of freedom for the between and within groups are provided, but the number of factor levels is not directly given.

In general, the number of factor levels in a one-way ANOVA refers to the number of groups being compared. Each group represents a level of the factor being studied.

To find the number of factor levels, we need to know the degrees of freedom associated with the between and within groups. The degrees of freedom for the between groups is equal to the number of groups minus one, while the degrees of freedom for the within groups is equal to the total number of observations minus the number of groups.

For example, if we had 4 groups and 24 total observations, the degrees of freedom for the between groups would be 4-1 = 3 and the degrees of freedom for the within groups would be 24-4 = 20.

Learn more about whole numbers here

https://brainly.com/question/29766862

#SPJ1

The statement which best describes the relationship between the two variables is there is no association because the relative frequencies by column are similar.

Two-way table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Amani computed in a two-way table the relative frequencies of sales of homes listed with two different real estate companies.

Home Sales by Real Estate Company

                        Sold in 100 Days or Less   Did Not Sell within 100 Days Company A                  44.5%                                 55.5%

Company B                  45.1%                                  54.9%

Association is found out, when there is significant difference between the data. The frequency of the homes sold in 100 Days or Less by company A is 44.5% and by company B is 45.1%. These values are almost equal.

In the table, the values of home did Not sell within 100 Days is also almost same for both the companies. Which suggest that there is no association.

Thus, the statement which best describes the relationship between the two variables is there is no association because the relative frequencies by column are similar.

Learn more about the data table here;

https://brainly.com/question/15602982

Answer:

D) There is no association because the relative frequencies by row are similar.

Step-by-step explanation:

got it right on edge 2022!

Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

Answer:

9.8ft

Step-by-step explanation:

We are told in the question that Mrs Drew wants to build a sand box for her children. The shape is Square.

The formula for the Area of a square = L²

L = Side length

The area of the sandbox will be 97 ft.²

Hence,

97ft² = L²

Squareroot both sides

√97ft² = √L²

L = 9.8488578018 ft

Approximately to the nearest tenth (10th) = 9.8 ft

Therefore, the total length of wood mystery needed to make the sides of the sandbox is 9.8ft

He answers rounded to the correct number of decimals/sig. figs are:a. 15.0 b. 408.1 c. 369 d. 68.65

a. 12.5849+2.4Adding 12.5849 and 2.4 gives: 15. 0 (rounded to one decimal place)  b. 432.5−24.3984Subtracting 24.3984 from 432.5 gives: 408. 1 (rounded to one decimal place)  c. 246×1.5Multiplying 246 and 1.5 gives: 369 (no rounding required)  d. 974.59/14.2Dividing 974.59 by 14.2 gives: 68.65 (rounded to two decimal places)

for more search question rounded

https://brainly.com/question/30474527

#SPJ8

The independent variable in this situation is the number of years, represented by 'y,' and the dependent variables are the heights of the pine tree and the mahogany tree.

To represent this situation with a system of equations, we have:

h-pine = 60 + 12y

h-mahogany = 100 + 8y

Solving the system of equations requires finding the values of 'y' when the heights of the trees are equal. Setting h-pine equal to h-mahogany, we get:

60 + 12y = 100 + 8y

Simplifying the equation:

4y = 40

y = 10

Interpreting the solution, we find that after 10 years, the heights of the pine tree and the mahogany tree will be equal. The height of the trees can be determined by substituting the value of 'y' back into the original equations. After 10 years, both the pine tree and the mahogany tree will be 180 inches tall.

Learn more about equations here:

https://brainly.com/question/29657983

#SPJ11

Answer:

7

Step-by-step explanation:

First you gotta plug in the values and you get 5*2 - 6(-4)/7

5 squared is 25

-6 times -4 is +24

25 + 24= 49

49/7= 7

Hope this helps! :)

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Website A

$5 rental fee + $12registration fee

Website B

$2 rental fee + $24 registration fee

Let x represent the number of videogames you have to rent, tyou can calculate the total cost for renting videogames at each website as:

To calculate the number of videogames you have to rent for the total cost to be the same regardless the web site, you have to equal both expressions:

And now what's left is to calculate for x:

You have to rent 4 videogames in each website for the total cost to be the same.

Answer:

a=5

Step-by-step explanation:

Answer:

A=5

Step-by-step explanation:

Hope this helps! (:

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

Answer:

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

Step-by-step explanation:

The parent function of a parabola is y=x^2:

The transformation of this graph shows the parabola is shifted to the right 3 and up 1 so we apply that to our equation y=(x-3)^2+1

to solve the stretch factor:

y=a(x-3)^2+1

we can see when x=0 y=7 so we use this set

7=a(0-3)^2+1

7=a(-3)^2+1

-1            -1

6=9a

divide by 9

a=2/3

Answer:

2.15

Step-by-step explanation:

substitute using elimination method and divide ur answers together.

Answer:

Horizontal compression by a factor of 2 followed by a vertical shift by positive 3

Step-by-step explanation:

a*f(k(x-d))+c

k=2

c=3

The binomial theorem says

\(\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n\)

where

\(\dbinom nk = \dfrac{n!}{k!(n-k)!}\)

is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:

1

1   1

1   2   1

1   3   3   1

1   4   6   4   1

where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,

\(\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}\)

\(\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b\)

\(\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2\)

Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be

1   1 + 4   4 + 6   6 + 4   4 + 1   1

or

1   5   10   10   5   1

which is to say,

\(\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5\)

In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:

\(\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k\)

\(\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k\)

\(\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2\)

\(\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2\)

\(\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}\)

Answer:

4.41/ 3 = 1.47 each

Step-by-step explanation:

Answer:

mean value of female = 10.000

standard deviation of female = 1.604

mean value of male = 10.000

standard deviation of male = 2.449

Step-by-step explanation:

Given:

n=8 females

n=8 males

The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females

Solution:

The mean and the standard deviation are found by using MINITAB

The MINITAB procedure is explained as follows,

Step 1

choosing start > Basic statistics > Display Descriptive Statistics

Step 2

In variables supposed to enter the columns Female and Male

Step 3

Here choosing option statistics and select Mean and standard deviation

Step 4

Finally clicking OK

MINITAB output is as follows,

variable Mean standard deviation

Female 10.000 1.604

Male 10.000 2.449

b)

From the MINITAB output the mean are same for females and males.

Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.

Answer:

7.333

Step-by-step explanation:

(42 ÷ 18 ) +5 =

7/3 +5 =

7/3 + 15/3 =

22/3 =

7.333

Answer:

4.33

Step-by-step explanation:

Answer:

0.555dollar=55.5 cents

Answer:

Miles would be the best.

Step-by-step explanation:

Miles are the largest way to measure land, so I would use that.

Miles

When measuring that far of a distance, you want to use the largest unit of measurement, because measuring in inches or centimeters is unrealistic.

Hope this helps! Good luck! :)

Answer:

Answer is

Step-by-step explanation:

9-3+18

9-21

-12

Answer:

24

Step-by-step explanation:

Follow the order of operations and do the multiplication first

2*9=18

Then go from left to right as it is all addition and subtraction from there

9-3+18

9-3=6

6+18=24

Answer:

57 km per hour is the average speed

Step-by-step explanation:

'I hope my answer helps you'

Question: y = 3cos[6(x-4)] - 5

Answer: 3

Step-by-step explanation:

The reason for this is in order to find amplitude, it's always the number before "cos" or "sin". Also, the "[6(x-4)]" was just a distraction to throw you off

Here's a trick to find everything; amplitude, period, phase sift, etc.:

      y = A sin(B(x + C)) + D

* amplitude is A

* period is 2π/B

* phase shift is C (positive is to the left)

* vertical shift is D

The statement "a. The slope is negative" is true about the slope of the least squares regression line when the correlation coefficient is negative.

When the correlation coefficient is negative, it indicates an inverse relationship between the two variables. In a linear regression, the slope of the line represents the direction and magnitude of the relationship between the independent and dependent variables. A negative correlation coefficient indicates that as the independent variable increases, the dependent variable decreases. Therefore, the slope of the least squares regression line will also be negative.

The slope of the regression line is calculated using the formula: slope = correlation coefficient * (standard deviation of y / standard deviation of x). Since the correlation coefficient is negative and the standard deviation of x and y are positive values, multiplying a negative correlation coefficient by positive standard deviations will result in a negative slope. Hence, option "a. The slope is negative" is the correct statement.

Learn more about correlation coefficient here:

https://brainly.com/question/29978658

#SPJ11

The dimensions of the container that will minimize the cost are:

Length of the square base: 12.6 cm

Height of the container: 12.6 cm

Let's denote the length of the square base as x and the height of the container as h. Since the container has a square base, the area of each side is x². The cost of making the sides is c per square centimeter, while the cost of making the top and bottom is 2c per square centimeter.

The volume of the container is given as 2000 cm³, so we have the equation x²h = 2000.

To minimize the cost, we need to minimize the surface area. The surface area is composed of the sides, which have an area of 4xh, and the top and bottom, each having an area of x². Thus, the total surface area is 4xh + 2x².

To find the dimensions that minimize the cost, we need to minimize the surface area while satisfying the volume constraint. By substituting the value of h from the volume equation into the surface area equation, we can express the surface area in terms of x only.

Then, we can differentiate the surface area equation with respect to x, set it equal to zero, and solve for x. The resulting value of x is approximately 12.6 cm. Substituting this value back into the volume equation gives us the corresponding value of h, which is also approximately 12.6 cm.

Therefore, the dimensions of the container that will minimize the cost are a length of 12.6 cm for the square base and a height of 12.6 cm.

To know more about volume, refer here:

https://brainly.com/question/28058531#

#SPJ4

The probability is approximately 0.7745 for the Gaussian random variable and approximately 0.4323 for the Laplace random variable.

Let's first find the probability P(-1 < Y < 2) when Y is a Gaussian random variable with mean 1 and variance 0.5.

We can standardize the random variable Y as follows:

Z = (Y - μ) / σ

where μ is the mean and σ is the standard deviation.

In this case, we have:

μ = 1 and σ²

= 0.5, so σ

= sqrt(0.5)

= 0.7071.

Substituting these values, we get:

Z = (Y - 1) / 0.7071

Now, we can find the probability P(-1 < Y < 2) in terms of Z as follows:

P(-1 < Y < 2) = P((-1 - 1) / 0.7071 < (Y - 1) / 0.7071 < (2 - 1) / 0.7071)

P(-2.8284 < Z < 1.4142)

Using a standard normal table or calculator, we can find that this probability is approximately 0.7745.

Now, let's find the probability P(-1 < Y < 2) when Y is a Laplace random variable with pdf \(0.5e^-|y|\).

We can integrate the pdf between -1 and 2 as follows:

P(-1 < Y < 2) = \(∫₋₁² 0.5e^-|y| dy\)

Since the pdf is even, we can simplify this as:

P(-1 < Y < 2) = \(2∫₀² 0.5e^-y dy\)

P(-1 < Y < 2) =\(e^-1 - e^-2\)

Using a calculator, we can find that this probability is approximately 0.4323.

For more such questions on probability

https://brainly.com/question/13179519

#SPJ4

Answer:

Area = 13,898.5 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the area of the circle given the value of the diameter.

Mathematically, the area of a circle is;

A = pi * d^2/4

Where d here is 133 feet

A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2

Answer:

B

Step-by-step explanation:

Mark as Brainliest