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False. To obtain a representative sample, it is not necessary to sample a large fraction of the population.

The representativeness of a sample depends on its ability to accurately reflect the characteristics and variability of the population it is drawn from. The size of the sample required for representativeness is determined by the level of precision desired and the inherent variability within the population.

Sampling a large fraction of the population, also known as a census, is one way to achieve representativeness, but it is often impractical, time-consuming, and costly. Instead, researchers often use statistical techniques to select a smaller subset of the population that can still provide accurate estimates.

The key factor in obtaining a representative sample is the use of random sampling techniques, such as simple random sampling or stratified sampling, which ensure that every individual in the population has an equal chance of being included in the sample. By using appropriate sampling methods and considering the variability within the population, it is possible to obtain a representative sample without sampling a large fraction of the population.

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Answer:

1766 using 3.14 for pi

1767 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

we need to know the radius

r =d/2 = 15/2 = 7.5

V = 4/3 (pi)( 7.5)^3

V =562.5 pi

Approximating pi by 3.14

V = 562.5 (3.14)

V =1766.25

To the nearest whole number

V = 1766

If you use the pi button

1767.14586

To the nearest whole number

1767

Answer:

\(V=1767\)

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Volume of a Sphere:  \(V=\frac{4}{3}\pi r^{3}\)

Find the radius

\(Radius = Diameter / 2\)

\(Radius = 15 / 2\)

Plug in the values and solve

\(V=\frac{4}{3}\pi * \frac{15}{2}^{3}\)

\(V=\frac{4}{3}\pi * \frac{3375}{8}\)

\(V=\frac{1125}{2}\pi\)

\(V=1767\)

Answer:  \(V=1767\)

In this question, we are asked to find the success probability for X and hence \($p_{X}$\).

Given brand of dinnerware has three colors: red, white, and blue.

Customers order the red set \($(X)=20 \%$\)

Customers order the white set \($(Y)=45 \%$\)

Customers order the blue set \($=35 \%$\)

Let \($X=1$\) if a randomly chosen order is for a red set, let \($X=0$\)otherwise.

Let \($Y=1$\) if a randomly chosen order is for a white set, let \($Y=0$\)otherwise.

Let \($Z=1$\) if a randomly chosen order is for either a red or white set, let \($Z=0$\) otherwise.

Since given data is in percentage.

We can say out of 100 customers, 20 customers ordered the red set.

\(\begin{gathered}p_{X}=\frac{\text { No.of customers whoordered the redset }}{\text { Totalno.of customers }} \\p_{X}=\frac{20}{100}=0.20\end{gathered}\)

Hence the success probability for \($X\left(p_{X}\right)$ is $0.20$.\)

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If the equation is wx + wz = -3, then the value of w = -3 / (x + z)

The equation is given that

wx + wz = -3

The equation is defined as the mathematical statement that show the relationship between two expression with an equal sign. The inequality cannot be the part of equation. It consist of mathematical operators, different types of variable and numbers .

The equation is

wx + wz = -3

Take common term outside from the equation

w(x+z) = -3

Move the (x+z) to the right hand side of the equation

w = -3 / (x+z)

Hence, if the equation is wx + wz = -3, then the value of w = -3/(x+z)

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Answer:

If the scale factor is 1/800, it means that 1 cm on the scale drawing represents 800 cm or 8 meters in real life.

So, to find the actual distance between the house and the barn, we need to convert the distance on the scale drawing (4.8 cm) to meters and then multiply by the scale factor:

Actual distance = (Distance on scale drawing in cm) x (Conversion factor)

where the conversion factor is:

Conversion factor = (1 cm) / (100 cm/m) = 0.01 m/cm

Plugging in the values, we get:

Actual distance = (4.8 cm) x (0.01 m/cm) x (8 meters/1 cm) = 0.384 meters

Therefore, the actual distance between the house and the barn is 0.384 meters.

Since N/2 leaves a remainder, N must be odd and ends with 1, 3, 5, 7, or 9.

N/5 also leaves a remainder, so N is not divisible by 5, so it does not end in 5.

The only correct choice is then 9, since

1 = 0•5 + 1 and 1 = 0•2 + 1

3 = 0•5 + 3 and 3 = 1•2 + 1

7 = 1•5 + 2 and 7 = 3•2 + 1

9 = 1•5 + 4 and 9 = 4•2 + 1

Alternatively, the given information is equivalent to saying

\(N\equiv 4\pmod5\\\\N\equiv1\pmod2\)

Then you can use the Chinese remainder theorem to find N.

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

Akua now -- x

Ama now -- 4x

Akua in 10 years ---- x+10

Ama in 10 years ---- 4x+10

4x+10 = 2(x+10)

solve for x

let Ama's age be X and Akua's age be Y

X=4Y.......

X+10=(Y+10)2......

4Y+10=2Y+20

4Y-2Y=20-10

2Y=10 divide both side by 2

2Y/2=10/2

Y=5

X=4x5

X=20

therefore Ama =20years and Akua=5years

hope it helps..

Answer:

the cost for each drink = $2.54

Step-by-step explanation:

The statement formed a simultaneous equation :

3x + 6y = $21.12

4x + 9y = $30.41

solving simultaneously,you have that ; x = 2.54, y = 2.25

Answer:

18km

Step-by-step explanation:

12km = 4 trips

express as a ratio.

3km : 1trip

then subsitute the amount of trips.

18km : 6trips

The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.

First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.

Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.

Using this method, we need to distribute 14 stars among 5 bars, which can be done in

(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.

Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

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This equation is not true, meaning there is no value of x for which the slope of the tangent line to the curve y = 100 - 5x is -500. Therefore, none of the options (a, b, c, d, e) are correct.

To find the value for which the slope of the tangent line to the curve y = 100 - 5x is -500, we first need to find the derivative of the curve.

The derivative dy/dx represents the slope of the tangent line at any given point. For the curve y = 100 - 5x, the derivative is:

dy/dx = -5 (since the derivative of a constant is 0 and the derivative of -5x with respect to x is -5)

Now, set the derivative equal to the desired slope of the tangent line:

-5 = -500

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Answer

The answer is climate

Answer:

It would most likely be climate because it sounds like it has something to do with the weather which it does.

Step-by-step explanation:

The length of ARC CB is (A) 7.75m.

The arc length is the separation between two points along a section of a curve. Curve rectification is the technique of replicating an irregular arc section using connected line segments in order to measure its length. A rectifiable curve can be divided into a finite number of segments.

To calculate the length of an arc, a section of the entire circle is taken. For instance, an arc with a center angle of 45 degrees would have a radius of 45/360 degrees. The length of the arc can be found by counting the circle's circumference, or 45 of its 360 degrees.

A segment of a curve, particularly a segment of a circle's circumference.

The length of the Arc is equal to 4 × 180 × r.

Where r is the radius and A is the angle at the center in degrees. According to the given figure, r-3 m

A=148°

So by substituting in the formula we will get

L = 148 × 3.14 180 × 3

L = 7.75m

Therefore the length of ARC CB is 7.75m.

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Answer:

4.32 cm

Step-by-step explanation:

let x = scale length of the car

1/100 = x/4.32

100x = 4.32

x = 4.32/100 = 0.0432 m

convert to m to cm:  0.0432 m x 100 cm/m = 4.32 cm

Answer:

10

Step-by-step explanation:

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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The probability of drawing 1 blue ball from the first, second, and third urns is calculated using the formula: probability of drawing 1 blue ball from the first urn = 4/5, probability of drawing 1 blue ball from the second urn = 4/5, and probability of drawing 1 blue ball from the third urn = 7/10. The weighted average of these probabilities is then calculated, resulting in the correct option of 52/1000.

If the first urn has 8 blue balls and 2 red balls, the second urn has 8 blue balls and 2 red balls, and the third urn has 7 blue balls and 3 red balls, the probability of drawing 1 blue ball is given as follows:

Probability of drawing 1 blue ball from the first urn = (number of blue balls in the first urn)/(total number of balls in the first urn)

= 8/(8 + 2)

= 4/5

Probability of drawing 1 blue ball from the second urn = (number of blue balls in the second urn)/(total number of balls in the second urn) = 8/(8 + 2)

= 4/5

Probability of drawing 1 blue ball from the third urn = (number of blue balls in the third urn)/(total number of balls in the third urn)

= 7/(7 + 3)

= 7/10

Therefore, the probability of drawing 1 blue ball from the three urns is the weighted average of the probability of drawing 1 blue ball from each urn. So, we multiply each probability by the proportion of balls in each urn and add them up.

So, the probability of drawing 1 blue ball from the three urns is given by:

(4/5)*(1/3) + (4/5)*(1/3) + (7/10)*(1/3)

= 52/150

= 26/75

So, the correct option is d) 52/1000.The probability of drawing 1 blue ball from the three urns is 52/1000.

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Answer:

quantative and continous

Answer:

It is quantitative and discrete

Step-by-step explanation:

quantitative is numbers and discrete is found by counting

Answer: The slope is 2

Step-by-step explanation: For questions like these, find 2 points on the graph that are on whole numbers, for example (10,60) and (20,80). Then use the formula y2-y1/x2-x1 to solve for the slope, which would be the same thing as rate of change. 80-60/20-10 which equals 2. The slope would be 2.

Answer:

-2<x<1

Step-by-step explanation:

Substract  5 on both sides

-4I3+6X>-36    

Divide by -4(flipping sign)

I3+6xI <9

                        SPLIT

3+6x<9                                 3+6x> -9  ( you flip  back  )

6x<6                                       6x>-12

x<1                                             x>-2

Answer:

81,412,650

Step-by-step explanation:

im not sure if this is what ur asking for??

Answer: 4 km

Step-by-step explanation:

You use the Pythagorean theorem: \(a^{2} +b^{2} =c^{2}\)

So 2^2 + 3^2 = c^2

C=\(\sqrt{13}\) or 3.60555

Then you round to the nearest km to get 4

\(\iint_{R} y^{2} d A=\int_{x=-2}^{3} \int_{y=-x-2}^{3 x+6} y^{2} d x d y d x\)

\(\text { (taking Strip as shown). }\)

\(=\int_{-2}^{3}\left(\frac{y^{3}}{3}\right)_{-x-2}^{3 x+6} d x\)

\(=\frac{1}{3} \int_{-2}^{3}(3 x+6)^{3}-(-x-2)^{3} d x\)

\(\begin{gathered}=\frac{1}{3}[4375]=\frac{4375}{3} \\=1458.33\end{gathered}\)

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On using subtraction it can be seen that Simone needs more 8 inches space in her room to fit the chest beside the bed. So, the chest cannot fit in Simone's room with the measurements of room = 100 inches and bed  = 74 inches.

What is subtraction?

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

The measurement for Simone's room is, a = 100 inches.

The measurement for Simone's bed is, b = 74 inches.

The amount of space left in Simone's room = a - b.

Using the arithmetic operation of subtraction -

= 100 - 74

= 26

Hence, 26 inches of space is left in Simone's room.

The measurement for chest that Simone wants to fit in her room next to bed is 85 centimeters.

To convert 85 cm to inches divide the length by 2.5 -

Using the arithmetic operation of division -

85/2.5 = 34

Hence, the measurement of the chest in inches is 34 inches.

26 < 34

Using the arithmetic operation of subtraction -

34 - 26 = 8

So, Simone has 26 inches space left and the size of chest is 34 inches, which cannot be fitted in the room.

Therefore, Simone cannot fit the chest in her room.

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Answer: quadrant III  

Step-by-step explanation: srry if am wrong