solve the simultaneous equation:
6x+y=29
3x-y=7

A hypothesis is a testable guess about how a commodity works. It may be an idea, proposition, a possible medium of commerce, or a statement about an effect. A null hypothesis is a vaticination that there's no difference between groups or conditions or a statement or idea that can be falsified or proved wrong.

What's meant by a hypothesis in statistics?

In Statistics, a thesis is defined as a formal statement, which explains the relationship between the two or further variables of the specified population. It helps the experimenter to restate the given problem into a clear explanation for the outgrowth of the study.

Characteristics of hypothesis

The important characteristics of the hypothesis are

• The hypothesis should be short and precise

• It should be specific

• A hypothesis must be related to the being body of knowledge

• It should be able to verification

What's the Null hypothesis?

The null hypothesis is a kind of hypothesis that explains the population parameter whose purpose is to test the validity of the given experimental data. This thesis is either rejected or not rejected grounded on the viability of the given population or sample. In other words, the null hypothesis is a hypothesis in which the sample compliances effect by chance. It's said to be a statement in which the surveyors want to examine the data. It's denoted by H₀.

Hence a hypothesis is a testable guess about how a commodity works. It may be an idea, proposition, a possible medium of commerce, or a statement about an effect. A null hypothesis is a vaticination that there's no difference between groups or conditions or a statement or idea that can be falsified or proved wrong

Know further about "suppositions in statistics" here: https//brainly.com/question/3125489

#SPJ4

Greetings from Brasil...

Where there is X in function G(X), we will replace by F(X)

F(X) = 3 - X and G(X) = X/(X + 1)

replacing....

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The best way to describe the location of a sample mean in a sampling distribution would be using the standard error. The standard error is a measure of the variability of the sample mean from sample to sample, and it takes into account both the sample size and the standard deviation of the population.

The sample standard deviation is a measure of the variability within the sample, but it does not provide information about the location of the sample mean in relation to the population mean. The difference between the population mean and the sample mean is a measure of bias, but it does not provide information about the variability of the sample mean.

Learn more about standard deviation : https://brainly.com/question/475676

#SPJ11

Answer:

Horizontal Asymptote: None (degree of numerator is larger than denominator)

Vertical Asymptote: None (domain of function is \(\mathbb{R}\))

x-intercept: (0, 0)

y-intercept: (0, 0)

Hole: (-2, 1)

Step-by-step explanation:

HA: Since the degree of the numerator (2) is larger than the degree of the denominator (1), no HA exists.

VA: Since the domain of the function of is \(\mathbb{R}\) (all real numbers), no VA exists. *no real value of x will make the denominator equal to 0 and numerator \(\neq\) 0

x-intercept:

The x-intercept occurs at \(y=0\).

Solving for x:

\(0=\frac{-2x^2-4x}{4x+8}\):

\(0=-2x^2-4x,\\x=0\). Therefore, the x-intercept is (0, 0).

y-intercept:

The y-intercept occurs when \(x=0\).

Solving for y:

\(\frac{-2x^2-4x}{4x+8}, x=0,\\\frac{-2(0)^2-4(0)}{4(0)+8}=0\). Therefore, the y-intercept is (0, 0).

Hole:

When looking for a hole, we are looking for a factor that occurs in both the numerator and denominator:

\(\frac{-2x^2-4x}{4x+8}=\frac{-2x(x+2)}{4(x+2)}\)

Rewriting our function here, we see that the term \((x+2)\) occurs in both the numerator and denominator. Thus, when this term is set to 0, it will make both the numerator and denominator 0, thus rendering an undefined value (since we cannot divide by 0). We call this a hole. *Note: Usually when an x-value makes the denominator zero, this will create a vertical asymptote. However, if the x-value also makes the numerator zero, it's considered a hole, not an asymptote. The x-value of this hole will be the value of when the common term is equal to 0:

\(x+2=0,\\x=-2\)

To find the y-value of the hole, remove the common term and plug in your x-value:

\(\frac{-2x^2-4x}{4x+8}=\frac{-2x(x+2)}{4(x+2)}=\frac{-2x}{4},\\\frac{-2(-2)}{4}=\frac{4}{4}=1\)

Therefore, the hole of this function is at (-2, 1).

The listing of elements from which you'll draw the sample is called the sampling frame. The sampling frame is a list of all the individuals or objects in a population that you are interested in studying. From the sampling frame, you can select a smaller group of individuals or objects to form a sample.

A sample is a subset of the population that you study to make inferences about the population. The population is the entire group of individuals or objects that you are interested in studying, and a census is a study of the entire population. The parameter is a numerical characteristic of a population, such as the mean or standard deviation, that you are interested in estimating.

1. Population: The entire group you want to study or gather information about.
2. Sampling frame: The list of elements (individuals or items) within the population from which you'll draw the sample.
3. Sample: A subset of the population selected for study, which is meant to represent the larger population.
4. Census: The process of collecting data from every member of a population, not just a sample.
5. Parameter: A numerical characteristic of a population, such as the mean or standard deviation, which is often estimated using a sample.

To learn more about subset : brainly.com/question/31739353

#SPJ11

Answer:

244

Step-by-step explanation:

The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Hence the correct statements are given as follows:

More can be learned about the triangle midsegment theorem at brainly.com/question/7423948

#SPJ1

The slope of a linear regression is the rate of change of the line of the best fit

The linear regression is given as:

\(y = -1.62x + 18\)

Where

Using the above representations, the slope means that the wait time per staff is 1.62 minutes

Also, the slope value is realistic because time can be measured in decimals

Read more about linear regressions at:

https://brainly.com/question/25987747

\(\text{For arithmetic series, the common difference will be same. }\\\\~~~~~~(2k-1)-(k+11) = (2k+7)-(2k-1)\\\\\implies 2k-1-k-11 = 2k+7-2k+1\\\\\implies k-12=8\\\\\implies k=8+12\\\\\implies k=20\)

cos 29 = 1. 9 / x

Cross - mulitply, we have:

x = 1. 9 / cos 29

x = 2.17 feet = 2. 2 feet ( nearest tenth )

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

To determine Fred and Ginger's tax liability for 2021, we will use the tax formula and consider the various items of income and expenses provided. Let's go through each category step by step:

Calculate Adjusted Gross Income (AGI):

AGI = (Fred's Salary) + (Ginger's Salary) + (Interest Income on State of Arizona Bonds) + (Interest Income on US Treasury Bonds) + (Qualified Cash Dividends) + (Share of Hollywood Corporation S Corporation Income) + (Short-term Capital Gains) + (15% Long-term Capital Gains) + (Share of RKO Partnership Loss) + (Life Insurance Proceeds)

AGI = $110,000 + $125,000 + $3,000 + $8,000 + $6,000 + $30,000 + $5,000 + $30,000 + (-$10,000) + $150,000

AGI = $547,000

Determine Itemized Deductions:

Itemized Deductions = (Home Mortgage Interest) + (Home Equity Loan Interest) + (Vacation Home Loan Interest) + (Car Loan Interest) + (Home Property Taxes) + (Vacation Home Property Taxes) + (Car Tags) + (Arizona Sales Taxes Paid) + (Medical Insurance Premiums) + (Unreimbursed Medical Bills) + (Charitable Contributions)

Itemized Deductions = $18,000 + $6,000 + $8,400 + $3,000 + $6,000 + $1,800 + $950 + $6,500 + $12,000 + $10,000 + $12,000

Itemized Deductions = $95,650

Calculate Taxable Income:

Taxable Income = AGI - Itemized Deductions

Taxable Income = $547,000 - $95,650

Taxable Income = $451,350

Determine Tax Liability using the Tax Table or Tax Formula:

Based on the provided information, we'll assume Fred and Ginger are filing as Married Filing Jointly for 2021. Using the tax brackets and rates for that filing status, we can calculate their tax liability. Please note that the tax rates and brackets are subject to change, so it's important to refer to the most recent tax regulations.

Tax Liability = (Tax on 10% Bracket) + (Tax on 12% Bracket) + (Tax on 22% Bracket) + (Tax on 24% Bracket)

The taxable income falls into multiple brackets, so we'll calculate the tax liability for each bracket separately:

Tax on 10% Bracket: $0 - $19,900 = $0

Tax on 12% Bracket: $19,901 - $81,050 = ($81,050 - $19,900) * 0.12

Tax on 22% Bracket: $81,051 - $172,750 = ($172,750 - $81,050) * 0.22

Tax on 24% Bracket: $172,751 - $451,350 = ($451,350 - $172,750) * 0.24

Calculate the total tax liability:

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

Learn more about   Tax   from

https://brainly.com/question/28735352

#SPJ11

Answer:

She ran 7.5 laps

Step-by-step explanation:

Given that:

Total Distance Covered = d = 3 and 3/4 miles

that is: \(3\frac{3}{4} = \frac{15}{4}\ miles\)

Distance per mile = l = 1/2 miles

In order to find the number of laps, we have to simply divide the total distance covered by number of miles in one lap.

Let n be the number of laps then

\(Number\ of\ laps = \frac{Total\ distance}{Distance\ of\ one\ mile}\\n = \frac{d}{l}\\n = \frac{\frac{15}{4}}{\frac{1}{2}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} => \frac{a}{b} * \frac{d}{c}\\n = \frac{15}{4} * \frac{2}{1}\\n = \frac{30}{4}\\n = 7.5\ laps\)

Hence,

She ran 7.5 laps

The width of the rug is 10 feet, and the length is 16 feet.

Let's assume the width of the rectangular rug is "x" feet.

According to the given information, the length of the rug is 6 feet longer than the width, so the length would be "x + 6" feet.

The formula for the area of a rectangle is length multiplied by width.

We can set up an equation using this formula to solve for the width:

Area = Length × Width

160 = (x + 6) × x

Now, let's simplify the equation:

\(160 = x^2 + 6x\)

Rearranging the equation:

\(x^2 + 6x - 160 = 0\)

Now we have a quadratic equation.

We can solve it by factoring, completing the square, or using the quadratic formula.

In this case, let's solve it by factoring:

(x + 16)(x - 10) = 0

Setting each factor to zero:

x + 16 = 0 or x - 10 = 0

Solving for x:

x = -16 or x = 10

Since we are dealing with measurements, we can disregard the negative value.

Therefore, the width of the rug is 10 feet.

Now, we can find the length by adding 6 to the width:

Length = x + 6 = 10 + 6 = 16 feet.

For similar question on width.

https://brainly.com/question/19634537  

#SPJ8

I dilation is when a shape gets bigger or smaller. It's on a scale factor of 4 so just move each of the dots outward 4 units to have the new dilated shape.

Given:

Required:

We need to find the percentage of the time will the police take 4 minutes or less to arrive.

Explanation:

Consider the z-score formula.

P-value from Z-Table

Multiply by 100 to find the percentage.

Final answer:

27 % of the time will the police take 4 minutes or less to arrive.

Answer:

Surface area of cylinder = 24π

Step-by-step explanation:

Given:

Base diameter = 4 yd

So Radius = 4 / 2 = 2 yd

Height = 4 yd

Find:

Surface area of cylinder

Computation:

Surface area of cylinder = 2πr(h+r)

Surface area of cylinder = 2π(2)(4+2)

Surface area of cylinder = 2π(2)(6)

Surface area of cylinder = 24π

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

To know more about matrix,

https://brainly.com/question/31494894

#SPJ11

Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.

In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.

In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:

Measure of angle Y = 38.25°

Measure of angle Z = 74.3°

Therefore:

The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z

Substitute

The measure of the exterior angle to angle X = 38.25° + 74.3°

The measure of the exterior angle to angle X = 112.55°

Learn more about exterior angles theorem on:

https://brainly.com/question/11356657

#SPJ1

The two-tailed test seeks evidence that the population parameter

(1) is not equal to the population parameter (2).

In a two-sample hypothesis test, a two-tailed test is employed to determine if there is evidence that the population parameter (1) differs from the population parameter (2).

This test is useful when we want to examine whether the two populations have significantly different means, proportions, or other relevant parameters.

The two-tailed test considers two possible alternative hypotheses: the population parameter (1) is either greater than the population parameter (2), or it is smaller than the population parameter (2). By considering both directions of the difference, we can evaluate the possibility of a significant difference in either direction.

In a two-tailed test, the null hypothesis assumes that the population parameters (1) and (2) are equal. The alternative hypothesis, on the other hand, states that there is a significant difference between the two population parameters. By conducting the test, we gather evidence to either support or reject the null hypothesis.

To perform a two-tailed test, we follow a standardized process. We calculate the test statistic, such as the t-statistic or z-statistic, and compare it to the critical value(s) from the appropriate distribution. If the test statistic falls in the rejection region, we reject the null hypothesis and conclude that there is evidence of a significant difference between the population parameters.

Hypothesis testing, specifically two-sample hypothesis testing, can provide a deeper understanding of statistical analysis. By exploring the various types of tests, their assumptions, and applications, researchers and analysts can make informed decisions based on reliable evidence. Additionally, understanding the nuances of hypothesis testing contributes to the development of robust experimental designs and accurate interpretation of results.

Learn more about Null Hypothesis

brainly.com/question/30484892

#SPJ11

The difference in volumes between the total volume and initial volume is 40 milliliters.

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is the volume flask as shown in the image.

Initial volume in the container {I} : 360 milliliters

Total volume of the container {T} : 400 milliliters

The difference in volumes between the total volume and initial volume -

{T} - {I}

400 - 360

40 milliliters

Therefore, the difference in volumes between the total volume and initial volume is 40 milliliters.

To solve more questions on volume, visit the link below-

https://brainly.com/question/10814684

#SPJ1

Answer:

Step-by-step explanation:

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(P).

Answer:

6 out of 20 chance

Or you can write it like this 6/20 or 6:20

Step-by-step explanation:

we add all of the jelly beans together to see how many are in the jar

6+5+4+5

20

Since there are 6 red jelly beans it is a 6 out 20 chance

Hopes this helps please mark brainliest

Answer:

10

Step-by-step explanation:

Answer:

-10 + 2

-88 + 80

Answer:

Option (1)

Step-by-step explanation:

This question is incomplete; find the complete question in the attachment.

Given table represents a linear function.

Two ordered pairs given in the table (0, 5) and (4, 9) pass through the function .

If the two points \((x_1, y_1)\) and \((x_2, y_2)\) lie on a line,

Slope of the line will be = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope of the linear function represented by the table = \(\frac{9-5}{4-0}\)

Therefore, Option (1) will be the correct option.

There are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Given that there is total sales of 1790 prints of one of the drawings by Mr, Caradang. Out of which 1273 unframed prints, 152 were small, 544 were medium. Out of the framed prints 23 were small,42 were extra large. Out of large prints 188 were framed, 496 were unframed.

We are required to find the number of small prints,medium prints, large .extra large in total and  total framed print of the drawings.

Total framed print=Small print+Medium print+Large print+Extra large print

=23+264+188+42

=517

Unframed print:

Small=152

Medium=544

Large=496

Extra large=81

Total unframed print=Small+Medium+large+extra large

=152+544+496+81

=1273.

Hence there are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Learn more about summation at https://brainly.com/question/542712

#SPJ4

Answer:

$32.89

Step-by-step explanation:

Starting Value: $87.50

After Gas: $87.50 - $36.19 = $51.31

After Chips: $51.31 - $5.87 = $45.44

After Happy Meal: $45.44 - $12.55 = $32.89

Therefore, Dan has $32.89 left

Drawing conclusions, predicting the future, or developing an explanation are all examples of reasoning.

Using particular examples to support a sound inference is the process of reasoning. This strategy relies on specific examples 1, 2, and 3 to draw a broad generalisation about the entire case. For instance, my Sony stereo, car radio, television, and video system are all in good working order.

A conclusion, a prediction, or an explanation can be reached by utilising knowledge already at hand in the reasoning process. Deductive, inductive, and abductive techniques of reasoning are three different types.

Deductive, inductive, abductive, and analogous reasoning will be the four types of reasoning we will be concentrating on in this article. A logical, deliberate technique of thinking is reasoning.

To learn more about reasoning refer to:

https://brainly.com/question/25175983

#SPJ1