A shift in location occurs if the mean of a random variable is altered by adding or removing a constant.
A shift in scale occurs when you multiply a random variable by a constant to affect its variance.
When you conduct a principal component analysis this results in a change in? Choose the best answer.
1) Location
2) Scale
3) Location & Scale
4) Log transformation

Answer:

C

Step-by-step explanation:

half of IQR is 17

110 + 17 = 127 (this represents the 3rd quartile)

110 - 17 = 93 (this represents the 1st quartile)

The 3rd quartile represents 75% of the data so 75% of the students complete the test in 127 minutes or less

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

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Step-by-step explanation:

numbers that can not be written as a fraction

The polynomial that is prime is given by Option C: \(10x^2 - 4x +3x +6\)

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Rewriting it as:

\(x^3+3x^2+2x+6 = x^2(x+3) + 2(x+3) = (x^2 + 2)(x+3)\)

shows that this polynomial has factors. Thus, it isn't prime polynomial

Rewriting it as:

\(x^3 + 3x^2 -2x -6 = x^2(x+3) -2(x+3) = (x^2-2)(x+3)\)

shows that this polynomial has factors. Thus, it isn't prime polynomial

We can rewrite it as:

\(10x^2 -4x + 3x -6 = 10x^2 -x -6 = f(x) \: \rm (say)\)

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4: \(10x^2 -10x + 6x - 6\)

It can be factored as:

\(10x(x-1) + 6(x-1) = (x-1)(10x-6)\)

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C: \(10x^2 - 4x +3x +6\)

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Answer:

The polynomial that is prime is given by Option C:

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Case 1:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 2:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 3:

We can rewrite it as:

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4:

It can be factored as:

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C:

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Step-by-step explanation:

Answer:

0.0111001100110011......

Step-by-step explanation:

9/20 = 0.45

now multiply 0.45 * 2 = 0.90 = keep 0
then multiply 0.90 * 2 = 1.80 = keep 1
then multiply 0.80 * 2 = 1.60 = keep 1
then multiply 0.60 * 2 = 1.20 = keep 1
then multiply 0.20 * 2 = 0.40 = keep 0
then multiply 0.40 * 2 = 0.80 = keep 0
then multiply 0.80 * 2 = 1.60 = keep 1
then multiply 0.60 * 2 = 1.20 = keep 1
then multiply 0.20 * 2 = 0.40 = keep 0

this will keep going on until we get 0.00 or 1.00
In this case, it's not possible.

So it's the answer 0.0111001100110011......

Answer:

4x+6y³

Step-by-step explanation:

give me thanks, please;)

Answer:

NOTHING

Step-by-step explanation:

The domain of this function could be {3, 4, 5, 6}.

The domain of a function represents the set of input values for which the function is defined. In this case, the function s(x) represents the total number of completed surveys, and x represents the number of classmates surveyed by each student.

Since each student surveys more than 2 of their classmates, we can conclude that x must be greater than 2. Additionally, the total number of students surveyed cannot exceed the total number of students in the class, which is 6.

Therefore, the possible domain of this function would be a set of positive integers greater than 2 and less than or equal to 6:

Domain: {3, 4, 5, 6}

These values represent the number of classmates surveyed by each student, satisfying the condition that each student surveys more than 2 classmates but does not exceed the total class size.

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The absolute deviation of the numbers 15, 25, 13, 15, 18, 20, 22, and 24 is 3.75. Option A.

To find the absolute deviation of a set of numbers, we follow these steps:

Calculate the mean of the numbers.

Subtract the mean from each number in the set.

Take the absolute value of each difference.

Calculate the mean of the absolute differences.

Let's calculate the absolute deviation for the given set of numbers: 15, 25, 13, 15, 18, 20, 22, 24.

Step 1: Calculate the mean:

Mean = (15 + 25 + 13 + 15 + 18 + 20 + 22 + 24) / 8 = 152 / 8 = 19

Step 2: Subtract the mean from each number:

15 - 19 = -4

25 - 19 = 6

13 - 19 = -6

15 - 19 = -4

18 - 19 = -1

20 - 19 = 1

22 - 19 = 3

24 - 19 = 5

Step 3: Take the absolute value of each difference:

|-4| = 4

|6| = 6

|-6| = 6

|-4| = 4

|-1| = 1

|1| = 1

|3| = 3

|5| = 5

Step 4: Calculate the mean of the absolute differences:

Mean of absolute differences = (4 + 6 + 6 + 4 + 1 + 1 + 3 + 5) / 8 = 30 / 8 = 3.75

Therefore, the absolute deviation of the numbers 15, 25, 13, 15, 18, 20, 22, and 24 is 3.75. It represents the average absolute difference between each number and the mean of the set. It provides a measure of how spread out the values are from the average. So OptioN A is correct.

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Note the complete question is

Answer:

a = 50

b = 50

c = 80

d = 50

e = 130

Step-by-step explanation:

e = 180 - (25 + 25)   {Angle sum property & It is an isosceles triangle}

    = 180 - 50 = 130

a +e = 180  {Linear pair}

a + 130 = 180

a = 180 - 130

a = 50

d =a   {Vertically opposite angles}

d = 50

c = 180 -(50+ 50 )     {Angle sum property & It is an isosceles triangle}

c = 180 -100

c = 80

a+b + c = 180  {Straight angles}

50 + b + 80 = 180

  b + 130 = 180

          b = 180 - 130

          b = 50

Ordered pairs must be placed in the following order: (6, 1), (8, 8), (12, 22). (20, 50). The right answer is D.

According to the assertions, it deals with a number of operations in mathematics.

For the first series, let the number be x, and for the second, let it be y.

The first rule is to multiply by 2, then, beginning with 6, remove 4.

The sequence can be written as 6 is the first number: = 2x - 4

next number = 2(6) - 4

                    = 12-4

                    =  8

The following phrase is thus 8. The following two terms can be written as 12 and 20.

Values of x = 6, 8, 12, 20

The second rule is to add three and then multiply by two, counting backward from one.

= (y + 3)2

First term = 1

Next term = (1 + 3)2

               =  8

The next two words can be acquired in a similar manner.

y = 1, 8, 22, 50

Therefore, ordered pairs must be placed in the following order: (6, 1), (8, 8), and (12, 22). (20, 50). The right answer is D.

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Correct question:

The first rule is to multiply by 2, then subtract 4 starting from 6. The second rule is to add 3, then multiply by 2 starting from 1. What are the first four ordered pairs using the two sequences?

A. (0, 0) (6, 1), (8, 2), (12, 22)

B. (6, 1), (10, 8), (14,22), (22, 50)

C. (6, 1), (8, 8), (12, 20), (20, 45)

D. (6, 1), (8, 8), (12, 22), (20, 50)

Answer:

1st option

Step-by-step explanation:

The shortest length of fence is thus equal to P1 = x + 1,300,000/x.

Let the width of the rectangular field be "x" feet and the length be "y" feet, then the area of the field, A = x y square feet. The area of the field is given as 1,300,000 square feet, so we can write; x  y = 1,300,000 Therefore, y = 1,300,000/x feet. Now, if we divide the rectangular field into two halves parallel to one side, we can write the new dimensions of each half as follows: Half 1: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x Half 2: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x

The total length of fence needed to enclose the rectangular field is given by; P = 2x + 2y = 2x + 2(1,300,000/x)P = 2x + 2(1,300,000/x)The total length of fence needed to divide the rectangular field into two halves is given by;P1 = x + 2(650,000/x)P1 = x + 1,300,000/x Thus, the shortest length of fence that the rancher can use is the length of the fence needed to divide the field into two halves. Therefore;P1 = x + 1,300,000/x.

The shortest length of fence is thus equal to P1 = x + 1,300,000/x.

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Answer:

Step-by-step explanation:

only thing you have to do is get the questions they answered correctly and divide that by the total amount of questions .

Answer:

. SAME THING YOU PUT FOR MY ANSWER IM GONNA DO THE SAME FOR YOU

Step-by-step explanation:

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

An equation is an expression that shows the relationship between two or more numbers and variables.

Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:

Monthly payment = $3250 / 12 = $270.83

Money owed = $3,766 - $3,250 = $516

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

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When a plane intersects only one nappe of a double-napped cone such that it is parallel to a generating line, it forms a parabola.

When a plane intersects only one nappe of a double-napped cone parallel to a generating line, it forms a conic section known as a parabola. This is because a parabola is defined as the set of all points that are equidistant to a fixed point (known as the focus) and a fixed line (known as the directrix).

When a plane intersects a double-napped cone parallel to a generating line, it intersects all the generatrices at the same angle, resulting in a curve that is symmetric and opens in one direction. This curve is a parabola, and it is commonly found in nature, such as the path of a thrown ball, the shape of a satellite dish, or the reflector of a car's headlights.

The properties of a parabola make it useful in various fields, including optics, physics, and engineering, where it is used to model and analyze a wide range of phenomena, such as the trajectory of projectiles, the behavior of lenses and mirrors, and the design of antennas and reflectors.

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To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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Therefore, the function f is decreasing on the interval (- [infinity], -1].

A. (- [infinity], -1] only

We can use the first derivative test to determine where a function is increasing or decreasing. The first derivative test states that if the derivative of a function is positive, then the function is increasing, and if the derivative is negative, then the function is decreasing.

For this problem, the derivative of the function f is f'(x) = x^2 - 2/x.

We can see that for x < 0, the derivative is negative, so the function is decreasing on that interval. For x > 0, the derivative is positive, so the function is increasing on that interval.

Therefore, the function f is decreasing on the interval (- [infinity], -1].

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Answer: 20

Step-by-step explanation:

First let's find the perimeter: 2(l+w) = 2 (100 + 60) = 2 (160) = 320m

Now let's divide 6400 by 320 = 20 metres

The constant width of the path is 20 m.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Length of park = 100 m

Breadth of park = 60 m

As, the area including the path = 6400 m²

Area of path + Area of width = 6400 m²

100 x 60 + Area of width = 6400

Area of width = 400 m²

Area of width = 20 x 20 m²

Thus, the width of path is 20 m.

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If a cube is rolled 24 times and lands on 2 four times and on 6 three times , then the experimental probability of not landing on a "6" is 0.171   .

on a cube there are total 6 outcomes ,

the probability of getting "2" on a single cube is = P(2) = 1/6  ;

the probability of getting "6" on a single cube is = P(6) = 1/6  ;

the probability of the cube not landing on 6 is = P'(6) = 5/6  ;

Since the cube is rolled 24 times , the experimental probability of not landing on "6" is

⇒ P(not 6) = ²⁴C₅×(1/6)⁵×(5/6)¹⁹ ;

On simplifying ,

we get ;

⇒ P(not 6) = 0.171  .

Therefore , the experimental probability of not landing on a 6 is 0.171  .

The given question is incomplete , the complete question is

A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6 .

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Option C represents a modified Hardy-Weinberg equation that incorporates the effects of natural selection on a population. The equation is given as:

$(p-3s)^2 + 2(p-s)q + q^2 = 1$

In this equation, various terms are included to express the impact of natural selection. Let's break down the equation and understand its components.

$p$ represents the frequency of the dominant allele in the population, while $q$ represents the frequency of the recessive allele. These frequencies are determined based on the initial allele frequencies in the population.

The term $(p-3s)^2$ represents the expected frequency of the homozygous dominant genotype in the next generation. The factor $3s$ denotes the selection coefficient, where $s$ represents the frequency of homozygous recessive individuals who do not survive due to natural selection. By subtracting $3s$ from $p$, we account for the reduction in the frequency of the dominant allele due to selection.

The term $2(p-s)q$ represents the expected frequency of the heterozygous genotype in the next generation. This term incorporates both the initial frequency of the heterozygous individuals, represented by $(p-s)$, as well as the transmission of alleles through reproduction, given by $q$. The factor of 2 accounts for the two possible combinations of alleles in the heterozygous genotype.

Finally, $q^2$ represents the expected frequency of the homozygous recessive genotype in the next generation. This term considers the transmission of the recessive allele, represented by $q$, and its squared value accounts for the homozygous recessive genotype.

The equation is set equal to 1, as the frequencies of all genotypes should sum to 1 in a population.

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Answer:

Step-by-step explanation:

Answer:19 You can use addition 12+7=19 19-7=12

c = z * SE = 1.8808 * (120 / sqrt(61)). The value of c represents the margin of error or the range within which the sample mean is expected to fall with a 0.94 probability, assuming a normal distribution and a known population standard deviation.

To find the value of c such that the probability of the sample mean falling within c of the population mean is 0.94, we need to use the concept of the standard error of the mean.

The standard error of the mean (SE) is given by the formula:

SE = σ / sqrt(n)

where σ is the population standard deviation and n is the sample size.

In this case, the sample size is 61 and the population standard deviation is 120.

SE = 120 / sqrt(61)

To find the value of c, we need to consider the desired probability and the corresponding z-score from the standard normal distribution. The z-score represents the number of standard errors away from the mean.

Since the desired probability is 0.94, the corresponding z-score can be found using the standard normal distribution table or calculator. For a 0.94 probability, the z-score is approximately 1.8808.

Now, we can calculate the value of c:

c = z * SE = 1.8808 * (120 / sqrt(61))

By evaluating this expression, we can find the specific value of c.

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Answer:

(4, 4)

Step-by-step explanation:

On the Cartesian plane, values on the x-axis increase to the right, and values on the y-axis increase as you go vertically upwards.

x-coordinate = 2

y-coordinate = 3

•Moving 2 units to the right adds 2 to the x-coordinate.

∴ new x-coordinate = 2 + 2 = 4

• Moving 1 unit up adds 1 to the y-coordinate.

∴ new y-coordinate = 3 + 1 = 4

∴ You will end up on the point (4, 4).

The equation is neither geometric nor arithmetic

The function is given as

f(x) = 2x^2 + 6x - 9

As a general rule, arithmetic functions or sequences have a common difference while geometric functions or sequences have a common difference

Set x = 0, 1 and 2

f(0) = 2(0)^2 + 6(0) - 9 = -9

f(1) = 2(1)^2 + 6(1) - 9 = -1

f(2) = 2(2)^2 + 6(2) - 9 = 11

Calculate the common difference (d)

d = 11 --1 = -1--9

d = 12 = 8 ---- false equation i.e. no common difference

Calculate the common ratio (r)

r = 11/-1 = -1/-9

d = -11 = 1/9 ---- false equation i.e. no common ratio

The above function is not an arithmetic function.

This is so because it does not have a common difference

Also, the function is not a geometric function.

This is so because it does not have a common ratio

Hence, the true statement about the function is (c) the equation is neither geometric nor arithmetic

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Answer:

-1/6

Step-by-step explanation:

24x=-4

X=-4/24

X=-2/12

X=-1/6

Answer:

250 in out to radical change

To construct the 95% confidence intervals for the three Asian responses (welcoming a white person, welcoming a Latino, and welcoming a black person), we can use Confidence Interval = Sample Proportion ± (Z * Standard Error).

A 95 confidence interval provides a range of values within which we can be 95 confident that the true population proportion lies. In this case, we're interested in the proportion of Asians who would drink   individualities from different  ethnical groups into their families( whites, Latinos, and blacks).  

For each response( drinking  a white person, drinking  a Latino, and drinking  a black person), we calculate a confidence interval. This interval represents a range of values that's likely to include the true proportion of Asians who would hold that particular response.   The 95 confidence intervals indicate the  position of  query associated with our estimates. It means that if we were to repeat the  check multiple times and construct confidence intervals,  roughly 95 of those intervals would contain the true population proportion.  

So, the 95 confidence intervals for the three Asian responses( drinking  a white person, drinking  a Latino, and drinking  a black person)  give us with a range of values within which we can  nicely estimate the true proportions of Asians who hold those specific responses.

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