Can anyone help please?

Answer:

(20, -2)

Step-by-step explanation:

Given the coordinate vectors p=(4,3) and q=(-2,7),

4p - 2q  = 4(4, 3)- 2(-2, 7)

4p - 2q  = (16, 12) - (-4, 14)

4p - 2q  = (16+4, 12-14)

4p - 2q  =(20, -2)

hence the required vector is (20, -2)

One of the six countries sent 41 representatives to the congress.

What, in the simplest words, is the Congress?

The Congress is our country's legislative body, which drafts our laws. The United States Senate and the United States House of Representatives are the two branches of Congress.

                    Each state has two U.S. Senators and a minimum of one U.S. Representative; the number of U.S. Representatives that can be elected depends on the number of citizens in the state.

(1) One of the six countries sent 41 representatives to the congress

(2) Country A sent fewer than 12 representatives to the congress

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Answer:

realto, hindi ako sure eh

Step-by-step explanation:

tama yan

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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If a cone has the same radius and height as a cylinder, the volume of the cone is:

Option: 1/3 of

If a cylinder and a sphere have the same radius and the cylinder’s height is twice its radius, then the volume of the sphere is:

Option: 2/3 of

what is cylinder?

A cylinder is a three-dimensional geometric shape that consists of two parallel bases, which are usually circular, connected by a curved lateral surface. It can be thought of as a three-dimensional version of a rectangle, with two circular bases instead of two flat ones. The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the circular base, h is the height, and π (pi) is a mathematical constant approximately equal to 3.14159.

what is sphere?

A sphere is a three-dimensional geometric shape that is perfectly symmetrical in all directions. It is formed by rotating a circle about its diameter, and its surface is equidistant from a point called the center of the sphere. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

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a. True: Interpretation with positive integers where P(x, y) means "x is a multiple of y."

False: Interpretation with real numbers where P(x, y) means "x is greater than y."

b. True: Interpretation with positive integers where P(x, y) means "x is divisible by y."

False: Interpretation with real numbers where P(x, y) means "x is less than y."

c. True: Interpretation with positive integers where P(x, x) means "x is a perfect square."

False: Interpretation with real numbers where P(x, x) means "x is equal to 0."

a. To make the statement (∀x)(∀y)(∀z)[P(x,y)∧P(y,z)→P(x,z)] true:

Domain: Let the domain consist of all positive integers.

Predicate Symbol: Define P(x, y) to mean "x is a multiple of y."

Under this interpretation, for any three positive integers x, y, and z, if x is a multiple of y and y is a multiple of z, then x is a multiple of z. This property holds true for all elements in the domain.

To make the statement (∀x)(∀y)(∀z)[P(x,y)∧P(y,z)→P(x,z)] false:

Domain: Let the domain consist of all real numbers.

Predicate Symbol: Define P(x, y) to mean "x is greater than y."

Under this interpretation, there may exist three real numbers x, y, and z such that x is greater than y, y is greater than z, but x is not greater than z. In this case, the implication P(x, y) ∧ P(y, z) → P(x, z) does not hold, making the statement false.

b. To make the statement (∀x)(∀y)[P(x,y)→P(y,x)] true:

Domain: Let the domain consist of all positive integers.

Predicate Symbol: Define P(x, y) to mean "x is divisible by y."

Under this interpretation, for any two positive integers x and y, if x is divisible by y, then y is also divisible by x. This property holds true for all elements in the domain.

To make the statement (∀x)(∀y)[P(x,y)→P(y,x)] false:

Domain: Let the domain consist of all real numbers.

Predicate Symbol: Define P(x, y) to mean "x is less than y."

Under this interpretation, there may exist two real numbers x and y such that x is less than y, but y is not less than x. In this case, the implication P(x, y) → P(y, x) does not hold, making the statement false.

c. To make the statement (∀x)P(x,x) true:

Domain: Let the domain consist of all positive integers.

Predicate Symbol: Define P(x, x) to mean "x is a perfect square."

Under this interpretation, every positive integer x is a perfect square, satisfying the statement (∀x)P(x,x).

To make the statement (∀x)P(x,x) false:

Domain: Let the domain consist of all real numbers.

Predicate Symbol: Define P(x, x) to mean "x is equal to 0."

Under this interpretation, not all real numbers x are equal to 0, violating the statement (∀x)P(x,x) and making it false.

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9514 1404 393

Answer:

  68 km

Step-by-step explanation:

Actual distance (d) will be proportional to the map distance.

  d/8.5 = 36 km/4.5

  d = (36 km)(8.5/4.5) = 68 km

The actual distance is 68 kilometers.

Answer:

4

Step-by-step explanation:

The cost of each item, obtained from the equation for the sum of the costs of the item are;

A brush costs $3.5

A sketchbook costs $10.5

A paint set costs $21

An equation is a mathematical statement that expresses equivalence between two expression joined by an '=' sign.

The amount Camille brought to the art supply = $39.50

The cost of the brush = (1/3) × The cost of the sketchbook

Cost of the sketchbook = (1/2) × Cost of the paint set

Amunt Camille had left over = $4.50

The cost of the items Camille bought = $39.50 - $4.5 = $35

Let x represent the cost of the brush, let y represent the cost of the sketchbook and let z represent the cost of the paint set

Therefore, we get the following equation; x + y + z = 35

x = (1/3)·y

y = (1/2)·z

Which indicates;

x = (1/3) × (1/2)·z = (1/6)·z

From which we get; (1/6)·z + (1/2)·z + z = 35

(5/3)·z = 3

z = 35 × 3/5 = 21

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Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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Answer:

x>8

Step-by-step explanation:

Hope that helps you!!

Answer:

Point-Slope Form

Step-by-step explanation:

Answer:

point-slope

Step-by-step explanation:

The equation of a line in its point-slope form is \(y - y_1 = m(x-x_1)\).

The standard error of the mean would be 0.63.

What is the standard error of the mean?

A statistic's standard error is the standard deviation of its sampling distribution or an estimate of that standard deviation. The standard error of the mean is used when the statistic is the sample mean.

Given data:

Standard mean(m) = 50.

Standard deviation = 20.

N = 100.

           \(C_v=\frac{\sigma}{x}*100\\\\C_v=\frac{20}{50}*100\\\\C_v=40\%\)

 Now,

           \(N=(\frac{C_v}{\epsilon})^2\\\\100=(\frac{40}{\epsilon})^2\\\\\epsilon^2=\frac{1600}{100}\\\\\epsilon = 1.26\)

Now calculate the standard error of the mean, we get

Standard error of mean = mean * percentage of absolute mean error

                                   = 50 * (1.26/100)

                                  = 0.63

Hence, the standard error of the mean would be 0.63.

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There are 1799 members in art club .

A linear equation has the algebraic form y=mx+b, where m is the slope and b is the y-intercept, and consists of a first-order (linear) term and a constant. When x and y are the variables, the aforementioned is sometimes referred to as a "linear equation of two variables."

Each line in the Euclidean plane is conceived of as a collection of all the answers to a linear equation with two variables. Lines represent the solutions of linear equations in the Euclidean plane. This is where the word "linear," which is used to characterize this class of equations, originates.

d-dance club

a-art club

Lets set system of equations:

d=3a

a=d-3598

--------------

a=3a-3598

3598=3a-a

3598=2a

a=1799

so there are 1799 members in art club .

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Answer: the answer is c

Step-by-step explanation:

Got it right on edg

A

Step-by-step explanation:

two of the triangles' corresponding angles are the same even if the side lebgths are not, making these two similar

By AA similarity triangle ABC and triangle LMN are similar. Therefore, option A is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

In the given triangle ABC, ∠A=50° and ∠B=75°.

In the given triangle LMN, ∠L=50° and ∠M=75°

From the given triangles,

∠A=∠L=50°

∠B=∠M=75°

By AA similarity triangle ABC and triangle LMN are similar.

Therefore, option A is the correct answer.

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The volume of the regular hexagonal prism is; 1,814.72 cubic centimeters.

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

\(V = B \times h\)

where h is the height of that prism and B is the area of the base of that prism.

We are given that a regular hexagonal prism has a surface area of 1,714.56 square centimeters.

If we have the area of the base is approximately 665.28 square centimeters and the side length is 16 centimeters,

Volume of any Prism = base area × height of the prism.

Volume of any Prism = 665.28 × 16

Volume of any Prism = 1,814.72cubic centimeters.

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The problem of multicollinearity. Multicollinearity refers to a situation in which two or more independent variables in a multiple linear regression model are highly correlated with each other.

This can lead to problems in estimating the regression coefficients accurately and can also result in unstable and inconsistent estimates of the coefficients. Multicollinearity can also make it difficult to determine the individual effects of the independent variables on the dependent variable, as well as to detect which variables are significant predictors.

Multicollinearity can also have a negative impact on the validity of hypothesis tests and can lead to over-fitting of the model. When the independent variables are highly correlated with each other, the regression coefficients are less precise and can have large standard errors, making it difficult to determine their significance.

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Multicollinearity occurs when two or more independent variables are highly correlated, meaning that one can be easily predicted from the other. This can lead to an unreliable model as it can produce inaccurate results.

Multicollinearity occurs when two or more independent variables in a multiple linear regression model are highly correlated, meaning that one can be easily predicted from the other.

If an independent variable is an exact linear combination of other independent variables, then the model is suffering from multicollinearity, which can cause the coefficients to be unstable and have large standard errors.

To address this issue, researchers can use techniques such as principal component analysis or ridge regression to reduce the correlation between the independent variables. These techniques can help improve the accuracy and reliability of the model.

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Answer: 11x+35

Step-by-step explanation:

The median element of a dataset is the middle element of the dataset.

There are 3 runs above and below the sample median

What is the median of a data set ?

The median of a data set is the value that falls in the middle, indicating that 50% of the data points have values that are lower or equal to the median and 50% of the data points have values that are higher or equal to the median. When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.

The information is given as:

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

In ascending order, the information is represented as:

Defects           9   10   12   13   15   18

Observations  5    1     6    3     4    2

The total number of observations is:

n=5+1+6+3+4+2 = 21

The median element is calculated as:

Median = (n+1)/2 th

Substitute 21 for n

Median = (21+1)/2 th

Median = 11th

The 11th element is 12.

So, the median is:

median = 12

Considering the given information;

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

The defects greater than the median (i.e. 12) are above (A) the median, while the defects less than the median are below (B)

So, we have:

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

Status               B     A       A     A    B      -

Next, we take a count of the number of times the status changes, i.e. from B to A, from A to B, from A or B to -

The count is 3.

Hence, there are 3 runs above and below the sample median

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Answer:

Step-by-step explanation:

Find the missing value of x in the arithmetic sequence below.

6, 2, x, -6, -10

6 - 4 = 2

2 - 4 = -2

-2 -4 = -6

-6 -4 = -10

☯︎ Let us find common difference,d by subtracting first term from second .i e.,\( a_2-a_1\) ,where \(a_1\) and \(a_2\) are first and second term .

✰common difference,d= 2-6 = -4

General term of Arithmetic Sequence,

\(\boxed{a_n = a+(n-1)d}\)

where,

So,

❄︎\(a_3 = a+(3-1)d\)

➪x = 6 + 2 × (-4)

➪x = 6 +(-8)

➪x = 6-8

➪x = -2

A case-control study is a retrospective study that is usually done in order to examine the relationship between a certain health condition and the probable risk factors for the disease.

In the context of this study, a relationship was examined between the colors of helmets worn by motorcyclists and whether they suffered injuries or were killed in a motorcycle accident. Results were provided in the table below.  Null hypothesis: There is no relationship between the colors of helmets worn by motorcyclists and whether they suffered injuries or were killed in a motorcycle accident.Alternative hypothesis: There is a relationship between the colors of helmets worn by motorcyclists and whether they suffered injuries or were killed in a motorcycle accident. The test statistic is calculated as follows: {# of motorcycle drivers who were wearing a black helmet and were not injured or killed × # of motorcycle drivers who were not wearing a black helmet and were injured or killed} - {# of motorcycle drivers who were not wearing a black helmet and were not injured or killed × # of motorcycle drivers who were wearing a black helmet and were injured or killed} / Square root of {(total # of motorcycle drivers who were wearing black helmets × total # of motorcycle drivers who were not injured or killed) + (total # of motorcycle drivers who were not wearing black helmets × total # of motorcycle drivers who were injured or killed)}Substituting the figures from the table into the formula: Test statistic =

{(257 × 506) - (694 × 12)} / √ [(357 × 506) + (694 × 12)] = -2.281

Since we are using a significance level of 0.05, we will use the chi-square distribution table. For a chi-square distribution with one degree of freedom and a significance level of 0.05, the critical value is 3.84.The computed test statistic (-2.281) is less than the critical value (3.84) given by the chi-square distribution table, so we fail to reject the null hypothesis.

In conclusion, the data does not provide enough evidence to suggest that the colors of helmets worn by motorcyclists are associated with whether they are injured or killed in a motorcycle accident. Therefore, we must accept the null hypothesis.

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Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

\(f(x)=-8x+13\)

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

Putting x = -2 in f(x) to determine the range for the value x = -2

\(f(x)=-8x+13\)

\(f(-2)=-8(-2)+13=16+13=39\)

Putting x = 0 in f(x) determine the range for  the value x = 0

\(f(x)=-8x+13\)

\(f(0)=-8(0)+13=0+13=13\)

Putting x = 0 in f(x) determine the range for the value x = 3

\(f(x)=-8x+13\)

\(f(3)=-8(3)+13=-24+13=11\)

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Answer:

Bob sold 1,050 cards for Mother’s Day  

Step-by-step explanation:

Ueueueueujehdjdjdjdjdjjfjfjfjrjrjrtep-by-step explanation:j

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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Answer:

D!!

Step-by-step explanation:

(30)

lol np

A 95% confidence interval is a set of data that contains the real mean of the population 95% of the time. This is not the same as a range that includes 95% of the possible values.

What is Confidence Interval?

In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time.

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Answer:

Is that the whole question or....

Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

It is given that

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

\(r(Eweek)=\dfrac{0.09265}{52} =0.00178173\)

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

\(r(e,a)=1+(r(e.week))^{52} -1\)

\(r(e,a)=1+(0.00178173)^{52} -1=0.09699\)

Or 9.669% annual, which is less than 9.955%, so this one is selected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

\(r(Emonth)=\dfrac{0.09442}{12} =0.00786833\)

Or 0.786833% effective monthly, let´s turn it into an effective annual rate.

\(r(e,a)=1+(r(e.month))^{12} -1\)

\(r(e,a)=1+(0.00786833))^{12} -1=0.09862\)

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

\(r(Eweek)=\dfrac{0.09719}{4} =0.0242975\)

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

\(r(e,a)=1+(0.0 242975))^{12} -1=0.010079\)

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Thus Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

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