qr is tangent to circle p at point q.

Following the Sampling Theorem of statistics, the answer is True.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

Each member of the group or community has an equal chance of being chosen when using probability sampling. According to probability-based statistical theory, this indicates that the sample is more likely to match the larger population, allowing for the drawing of more precise conclusions about the latter.

Yes, the quota sampling process occurs when the available or accessible people or material are selected. Due to large population size, Sampling process is preferred.

Since, Statistics convey characteristics of data to us. So yes, The sample is weighted so that predetermined characteristics are represented.

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Answer:

I have solved this on Paper and attached an image in the explanation part!

Step-by-step explanation:

The system of equations is:

28cm = 2*(W + L)

28.8cm = 2*(0.9*L + 1.2*W)

b) Solving that we will get L = cm and W = 6cm

c) The figure becomes a square of sides of 7.2cm

First, let's define the variables:

Remember that the perimeter of a rectangle is:

P = 2*(W + L)

We know that the perimeter is 28cm, then:

28cm = 2*(W + L)

And if we decrease the length by 10% and increase the width by 20% the perimeter is 28.8cm, then

28.8cm = 2*(0.9*L + 1.2*W)

Then the system of equations is:

28cm = 2*(W + L)

28.8cm = 2*(0.9*L + 1.2*W)

We can isolate L on the first equation to get:

28cm/2 - W = L

14cm - W = L

Replacing that in the other equation we get:

28.8cm = 2*(0.9*(14cm - W) + 1.2*W)

28.8cm = 1.8*(14cm - W) + 2.4*W

28.8cm = 25.2cm + 0.6*W

28.8cm - 25.2cm =  0.6*W

3.6cm/0.6 = W = 6 cm

So the width is 6cm, then the length is:

L  = 14cm - 6cm = 8cm

c) The modified dimensions are:

0.9*L = 0.9*8cm = 7.2 cm

The new width is:

1.2*W = 1.2*6cm = 7.2 cm

So the length is equal to the width, then the figure becomes a square.

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The percentage change of the first quantity with reference to the second quantity: 480 units, 560 units is: -14.29%.

First step is to find the difference between the two numbers

Difference = New Number - Original Number

Difference =  480 -560

Decrease  = -80

Now let find the percentage change

Percentage change = Decrease  / Original Number × 100

Percentage change = -80 /560 × 100

Percentage change = -14.29%

Therefore we can conclude that the percentage change is -14.29%.

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By analizying the zeros on the graph, we conclude that the equation that could represent the graph is:

y = (x  + 5)²*(x - 3)²

On the graph, we have a polynomial.

Remember that the degree of the polynomial is related to the zeros of the polynomial. Here we can see that we have two double zeros, one at x = -5 and other at x = 3

We know that are double zeros because the curvature of the polynomial changes there.

Then the equation will be something like:

y = (x  + 5)²*(x - 3)²

So that is the correct option, top right.

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The solution for x in the pentagon is 90

From the question, we have the following parameters that can be used in our computation:

Shape = pentagon

This means that

n = 5

The sum of the internal angles is calculated as

Angles = 180(n - 2)

Substitute the known values in the above equation, so, we have the following representation

Angles = 180(5 - 2)

So, we have

Angles = 540

This means that

x + 90 + 90 + 135 + 135 = 540

So, we have

x + 450 = 540

Evaluate

x = 90

Hence, the value of x is 90

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From the various triangle proofs below, we have been able to show that; 3A F = AC

A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.

We are given that;

AD is the median of ΔABC.

E is the midpoint of AD

Through D, we draw DG parallel to BF

In ΔADG, E is the midpoint of AD and EF is parallel to DG

By using the converse of midpoint theorem, we have;

F is midpoint of AG and A F = FG     ------(eq 1)

Likewise, In ΔBCF ;

D is the midpoint of BC and DG is parallel to BF  

G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)

From equations 1 and 2, we will get;

A F = FG = GC     -------(3)

Thus;

A F + FG + GC = AC

A F + A F + A F = AC (from eq 3)

3A F = AC

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Answer:

Step-by-step explanation:

Answer:

x = 7/10

Step-by-step explanation:

You multiply both sides by "x", to get 7 = 10x. Then divide both sides by 10 to get 7/10 = x, or 0.7 = x.

Brainliest please!

Answer:

C) 9/40

Step-by-step explanation:

1 - [tex]\frac{2}{5}[/tex] - [tex]\frac{3}{8}[/tex]     Make equivalent fractions with 40 as the denominator

[tex]\frac{2}{5}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{16}{40}[/tex]   Another name for [tex]\frac{8}{8}[/tex] is one.  This is how we can make equivalent fractions.

[tex]\frac{3}{8}[/tex] x [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{40}[/tex]

1 can also be written [tex]\frac{40}{40}[/tex]

[tex]\frac{40}{40}[/tex] - [tex]\frac{16}{40}[/tex] - [tex]\frac{15}{40}[/tex] = [tex]\frac{9}{40}[/tex]

We utilize a two factors, independent measurements ANOVA, where, factor has 2 level and a factor likewise has 2 levels.

A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.

Factors and multiples are a part of our daily life. For example, they are employed in arranging objects in a box, handling money, recognizing patterns in numbers, solving ratios, and working with expanding

A number totally divides the provided number without leaving any residual is said to be the factor of that number.

The components of a number might be positive or negative. For example, let us find the factors of 8. Since 8 is divisible by 1, 2, 4, and 8, we may list the positive factors of 8 as, 1, 2, 4, and 8. Apart from this, 8 has negative elements as well, which might be stated as, -1, -2, -4,

According to our question-

Degrees of freedom for the F-test of the two way ANOVA

In this case, we utilize an ANOVA with two independent variables and two factors, each with two levels.

So, here,

= 2 for the number of layers of A

= B's level count is 2,

Moreover, n = sample size in each treatment condition is equal to 10.

So we have,

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of interaction effect (A x B) = ( - 1)( - 1) ( - 1)

= (2-1)(2-1) (2-1)

= 1

And = df of within variation (i.e. error variation) =

= 2 x 2 x (10 - 1) (10 - 1)

= 36

Consequently, the df value for the F-ratio measuring factors-primary A's impact is

= () ()

= (1, 36) (1, 36)

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A The population mean is greater than 10 B The population mean is equal to 10 C The population mean is less than 10 D The population mean is not equal to 10 with probability.

1. The average weight of female athletes is a discrete random variable because it can take on a discrete set of values.

2. A sample point is a single point in a sample space, which is a set of all possible outcomes of an experiment.

3. The standard deviation is a measure of spread of a random variable, which measures how much the values in the set deviate from the mean.

4. The median of the set of numbers is 4, since there are an equal number of numbers below and above the median.

5. The variance of the set of numbers is 36, since it is calculated by taking the sum of the squares of the differences between each number and the mean, and dividing by the number of values.

6. The null hypothesis for a hypothesis test is that the population mean is equal to 10.

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Using the laws of inequality, the inequality x-36>4x can be solved as x>-12.

In mathematics, the term "inequality" refers to a relationship between two expressions or values that is not equal to each other. The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are deemed to be equal. The symbols >,,, or indicate that the two expressions in an inequality are not necessarily equal.

Here,

x-36>4x

3x<-36

-3x>36

x>-12

The solution for the inequality x-36>4x is x>-12 using properties of inequality.

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The inverse matrix R⁻¹ does not exist

The inverse of a matrix written as A⁻¹ is such that when the inverse matrix multiplies A, the result is the identity matrix.

Given the matrix [tex]R = \left[\begin{array}{ccc}0&0\\1&3\end{array}\right][/tex], to determine if this matrix has an inverse it must satisfy the following condition.

For a matrix A to have an inverse, its determinant must not be equal to zero. That is det(A) ≠ 0

So, to determine if the above matrix has an inverse, its determinant must not equal zero.

So, the determinant of the matrix det(R) = 0 × 3 - 0 × 1

= 0 - 0

= 0

Since the determinant equals zero, thus we see that its inverse R⁻¹ does not exist

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According to the hypothesis test we find out that the t-statistic is 0.634 and thus, conclude that the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

It is given to us that -

Company manufactures small automobiles that have averaged 45 miles per gallon of gasoline in highway driving

Company now advertises that its new small cars average more than 45 miles per gallon in highway driving

52 automobiles were tested

Sample average is 46.1 miles per gallon

Sample standard deviation is 5.3 miles per gallon

Significance level is 0.01

We have to conduct an appropriate hypothesis test and find the t-statistic and determine the correct conclusion.

Let us assume that -

p = population of average gasoline of new small cars in highway driving

According to the given information,

Null hypothesis represents that the advertising campaign of the manufacturer is incorrect. This implies that -

[tex]H_{0}[/tex] : [tex]p\leq 45[/tex] miles per gallon

Alternative hypothesis represents that the advertising campaign of the manufacturer is correct. This implies that -

[tex]H_{A}[/tex] : [tex]p > 45[/tex] miles per gallon

For carrying out the hypothesis test for the given situation we have to apply one sample z test statistic since the sample standard deviation information is available to us.

According to one sample z test, the value of test statistic is given as -

[tex]T = \frac{(X_{avg} -p)}{\frac{S}{\sqrt{n} } }[/tex] ------ (1)

where,

[tex]X_{avg}[/tex] = Sample mean

p = hypothesized population mean

S = Sample standard deviation

n = Sample size

According to the given information, we have

[tex]X_{avg}[/tex] = 46.1 miles per gallon

p = 45 miles per gallon

S = 5.3 miles per gallon

n = 52

Substituting the above values in equation (1), we have

[tex]T = \frac{(X_{avg} -p)}{\frac{S}{\sqrt{n} } }\\= > T = \frac{(46.1 -45)}{\frac{5.3}{\sqrt{52} } }\\= > T = \frac{1.1}{0.735}\\ = > T = 0.634[/tex]

It is given to us that the significance level is 0.01. According to the z-table, the critical value of the test statistic at 0.01 significance level is 2.58.

But, we see that the test statistic that we obtained above is less than the critical value at significance level of 0.01. i.e.,

0.634 < 2.58

This implies that there is not sufficient evidence for us to reject the null hypothesis for this particular situation.

Therefore, we can conclude from the hypothesis test that the t-statistic is 0.634 and thus, the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

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According to the hypothesis test we find out that the t-statistic is 0.634 and thus, conclude that the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

It is given to us that -

Company manufactures small automobiles that have averaged 45 miles per gallon of gasoline in highway driving

Company now advertises that its new small cars average more than 45 miles per gallon in highway driving

52 automobiles were tested

Sample average is 46.1 miles per gallon

Sample standard deviation is 5.3 miles per gallon

Significance level is 0.01

We have to conduct an appropriate hypothesis test and find the t-statistic and determine the correct conclusion.

Let us assume that -

p = population of average gasoline of new small cars in highway driving

According to the given information,

Null hypothesis represents that the advertising campaign of the manufacturer is incorrect. This implies that -

H0 = p<= 45 :  miles per gallon

Alternative hypothesis represents that the advertising campaign of the manufacturer is correct. This implies that -

HA : p > 45 :  miles per gallon

For carrying out the hypothesis test for the given situation we have to apply one sample z test statistic since the sample standard deviation information is available to us.

According to one sample z test, the value of test statistic is given as -

T = (X - p)/(SD/√n)

where,

X = Sample mean

p = hypothesized population mean

S = Sample standard deviation

n = Sample size

According to the given information, we have

X = 46.1 miles per gallon

p = 45 miles per gallon

S = 5.3 miles per gallon

n = 52

Substituting the above values in equation (1), we have

T = 46.1-45/(5.2/√52)

T = 1.1/0.735

T = 0.634

It is given to us that the significance level is 0.01. According to the z-table, the critical value of the test statistic at 0.01 significance level is 2.58.

But, we see that the test statistic that we obtained above is less than the critical value at significance level of 0.01. i.e.,

0.634 < 2.58

This implies that there is not sufficient evidence for us to reject the null hypothesis for this particular situation.

Therefore, we can conclude from the hypothesis test that the t-statistic is 0.634 and thus, the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

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The percentage that she spent on present for her sister is 26.67%

What does % example mean?

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Given that :

She spent = 360 * 1/5 = $72 on presents for her parents

she spent = 360 - 72 = 288 * 2/3 = $192 on presents for her friends

She spent = 288 - 192 = $96 on presents for her sister

Percentage of the $360 that she spent on presents for her sisters is

96/360 * 100 = 26.67%

Hence the percentage that she spent on present for her sister is 26.67%

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The correct answers are -

1. Probability of drawing a yellow is 12/99

2. Odds in favour of drawing are 12/87

3. Probability and odds are related through favourable and unfavourable outcomes.

Firstly calculating the total number of candies.

Total number of candies = 115 + 75 + 95 + 60 + 45 + 50 + 55

Performing addition on Right Hand Side of the equation

Total number of candies = 495

Now, the probability of drawing a yellow = number of yellow candies ÷ total number of candies

Probability of drawing a yellow = 60 ÷ 495

Performing division on Right Hand Side of the equation

Probability of drawing a yellow = 0.12

Now, for calculation of second part and answer of third part, relating the probability and odds.

Odds = favourable outcomes ÷ non favourable outcomes

Simplifying the probability in fractional form = 12/99

Favourable outcomes = 12

Non favourable outcomes = 99 - 12

Non favourable outcomes = 87

Odds = 12/87

Thus, probability is 0.12 and odds are 12/87.

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The complete question is attached in the figure.

The volume of the given solid, with the boundaries, is given as follows:

661.5 cubic units.

The volume of the solid is obtained using a double integral.

The equation for the solid is given as follows:

7x + 9y + z = 63.

z = 63 - 7x - 9y.

The coordinate planes bound the plane, hence:

Hence the double integral that is used to obtain the volume of the solid is given as follows:

[tex]V = \int_{0}^{9}\int_{0}^{7 - \frac{7x}{9}} 63 - 7x - 9y dydx[/tex]

The inner integral is given as follows:

[tex]I = \int_{0}^{7 - \frac{7x}{9}} 63 - 7x - 9y dy[/tex]

Which, applying the Fundamental Theorem of Calculus, has the result given as follows:

[tex]I = -98x + \frac{49x^2}{9} - \frac{(7x + 63)^2}{18} + 441[/tex]

Then the volume of the solid is given by the outer integral as follows:

[tex]V = \int_{0}^{9} \left(-98x + \frac{49x^2}{9} - \frac{(7x + 63)^2}{18} + 441\right) dx[/tex]

Which has a numeric value of:

661.5 cubic units.

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Answer:

2.4 would be the answer i took this before

Step-by-step explanation:

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

[tex]K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}[/tex]

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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The first and fourth quadrant of a coordinate grid should be used to display the given data .

In the question ,

it is given that ,

from the time the storm has started the temperature change is from 0° to - 20° .

we know that time cannot be in negative , and temperature can be both negative and positive .So only quadrant 1 and 4 can be used for representation .

Y = temperature

X = time

Quadrant 1 = (+x , +y) this can be used because x can only be positive and y is also positive.

Quadrant II = (-x , +y) this cannot be used because x cannot be negative

Quadrant III = (-x , -y) this cannot be used because x cannot be negative

Quadrant IV = (+x , -y) this can be used because x can only be positive and y can be negative.

Therefore , only 1 and 4 quadrants can be used .

The given question is incomplete , the complete question is

An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. if the storm lasted five hours and the temperature saw a drop from 0° to - 20°, which quadrant(s) of a coordinate grid should be used to display this data ?

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There are 6 probability  5 card poker hands with at least 3 Aces that can be dealt from a standard deck of 52 cards.

A standard deck of 52 cards contains 4 Aces, so the maximum number of Aces that can be dealt in a 5 card hand is 3. To determine the number of possible 5 card poker hands with at least 3 Aces, we must first consider the different combinations of 3 Aces in a 5 card hand. There are 6 possible combinations: AAAxx, AAxxA, AxxAA, xAAAX, xAxxA, and xxAAA. This means that there are 6 possible 5 card poker hands with at least 3 Aces that can be dealt from a standard deck of 52 cards. To calculate this, we first counted the number of Aces in the deck and then calculated the number of possible combinations of 3 Aces in a 5 card hand. Finally, we multiplied this number by the number of remaining cards in the deck (48) to get the total number of possible hands.

4 Aces x 6 combinations = 24

24 x 48 remaining cards = 1,152

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The Perimeter of the Pathway around the pool is 38.4m

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Length of the Pathway = 12m + 80cm + 80cm = 12m + 1.6m = 13.6m

Breadth of the Pathway = 4m + 80cm + 80 cm = 4m + 1.6m = 5.6m

Perimeter of Rectangle = 2(l+b)

Perimeter = 2(13.6 + 5.6)

Perimeter = 2(19.2)

Perimeter = 38.4m

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The equation that can be used to determine the pounds of laundry the customer brought in to be washed and folded that month is;

D. 0.53x + 26.00 = 37.66

We are given that;

Monthly service fee for Lundromat = $26

They wash and fold clothes at $0.53 per pound  for those customers with a laundry service.

Now, we are told that a customer paid $37.66 total for the month.

If the number of pounds of clothes is denoted as x, then it means that the equation for this will be;

0.53x + 26.00 = 37.66

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Answer:

husband = wife earn + 2450

wife = 9 470

Husband earnings:

9 470 + 2 450 = sh 11 920

husband + wife

11 920 + 9 470 = sh 21 390

Step-by-step explanation:

Answer:

1. using the formula (aX2/h)-22

17

Step-by-step explanation:

Take area multiply by 2

234x2=468

Divide answer by height which is 12 you get 39

39subtract 22 you get your answer as 17

An analyst makes a statistical error known as a sampling error when they choose a sample that does not accurately represent the complete population of data.

In statistics, a truly random sample involves selecting people from a population with an equivalent probability; in other words, picking individuals from a group without bias.

Failing to accomplish this appropriately will result in a sampling bias, which can dramatically increase the sample error in a systematic fashion. For instance, using a sample from just one nation to estimate the average height of all people on Earth could lead to a significant over- or underestimation.

In practice, it might be challenging to select an impartial sample because various criteria (for instance, nation, age, gender, and so on) may substantially bias the estimator. It is important to make sure that none of these aspects are taken into consideration when choosing the sample.

Hence, An analyst makes a statistical error known as a sampling error when they choose a sample that does not accurately represent the complete population of data.

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The manufacturer of allay pain reliever offered a free sample of the product to visitors who registered at its website. in this case, the communications objective of the website was to increase awareness of Allay Pain Reliever and generate customer leads.

Communication objectives are the aims and principles that guide how a person or company interacts with customers, staff, or other stakeholders. Workplaces can establish and uphold uniform standards for every contact by adopting communication strategies.

In order to achieve marketing goals with an increase in the rate of purchases or information requests, the communication objectives must first develop a good consumer attitude.

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absolute maximum =  3.033

absolute minimum = -1.846

A point where the function achieves its highest value is known as an absolute maximum point. Similar to this, an absolute minimum point is the location at which the function's maximum value is obtained.

f(x) = x[tex]e^{-x^{2}/50 }[/tex] , [−2, 10]

f'(x) = x[tex]e^{-x^{2}/50 }[/tex] (-2x/50) + [tex]e^{-x^{2}/50 }[/tex] (1)  = 0

-2[tex]x^{2}[/tex]/50 + 1 = 0

2[tex]x^{2}[/tex]/50 = 1

2[tex]x^{2}[/tex] = 50

[tex]x^{2}[/tex] = 25

x = +5 , -5

f(-2) = -2 [tex]e^{-2^{2} /50}[/tex] = -1.846

f(10) = 1.3353

f(5) = 3.033

absolute maximum = 3.033

absolute minimum = -1.846

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