determine the set of points at which the function is continuous. f(x, y, z) = 8x 5y z

Random sampling is most important to quantitative research methods.

Quantitative research relies on collecting numerical data and analyzing it statistically to draw conclusions about a population. Random sampling is a crucial aspect of quantitative research as it ensures that the sample selected is representative of the population being studied. By randomly selecting participants or data points from the population, researchers can minimize bias and increase the generalizability of their findings.

This allows them to make accurate inferences about the larger population based on the characteristics observed in the sample. Random sampling helps to reduce the potential for selection bias and ensures that each member of the population has an equal chance of being included in the sample, which enhances the validity and reliability of the research results.

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In equilateral triangles, 7.0 mm is the length of each edge of the diamond.

The equilateral triangle's definition?

An equilateral triangle is a triangle whose three sides are all the same length, commonly referred to as a "regular" triangle.

                                       A triangle with all three sides equal and interior angles of 60 degrees is said to be equilateral. Triangle with an equal number of sides is known as an isosceles triangle.

V = 0.4783 S³  = 161

   S³   =  161/0.47

       = ∛ 161/0.47

       ≈ 7.0 mm

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An item is regularly priced at 70. Shen bought it on sale for 20% off the regular price. Shen paid 56 for the item on sale.

To determine how much Shen paid for the item on sale, follow these steps:

Find the discount amount

Subtract the discount amount from the regular price.

Calculate the discount amount.

Discount amount = Regular price × Discount percentage

Discount amount = 70 × 20%

Discount amount = 70 × 0.20

Discount amount = 14

Calculate the sale price.

Sale price = Regular price - Discount amount

Sale price = 70 - 14

Sale price = 56

Shen paid 56 for the item on sale.

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The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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Answer:

2.1 cm (nearest tenth)

Step-by-step explanation:

The radius (r) of a circle is the distance between its center and its circumference.  Therefore, from inspection of the given circle:

⇒ r = OX = OY = OA

Given:

⇒ AB = OA + OB

⇒ 3.5 = r + OB

⇒ OB = 3.5 - r

As OX = OY and AB is perpendicular to XY then XB = BY.

As XY = 3 cm:

⇒ XB = BY = 1.5 cm

Therefore, for ΔOBX:

Pythagoras Theorem

\(a^2+b^2=c^2\)

where:

Use Pythagoras Theorem and the defined sides of ΔOBX to find r:

\(\implies OB^2+XB^2=OX^2\)

\(\implies (3.5-r)^2+1.5^2=r^2\)

\(\implies 12.25-7r+r^2+2.25=r^2\)

\(\implies 14.5-7r+r^2=r^2\)

\(\implies 14.5-7r+r^2-r^2=r^2-r^2\)

\(\implies 14.5-7r=0\)

\(\implies 14.5=7r\)

\(\implies 7r=14.5\)

\(\implies \dfrac{7r}{7}=\dfrac{14.5}{7}\)

\(\implies r=2.07142857...\: \sf cm\)

Therefore, the radius of the circle is 2.1 cm (nearest tenth).

Answer:

Log 8 a - Log 8 2

Step-by-step explanation:

the 8 thing is the number under btw

plz brainliest :)

Answer:1. C2. D3. A4. A5. D6. B7. A

Step-by-step explanation:

Answer:

104 inches and 66 inches

Step-by-step explanation:

The horizontal cross section of a rectangle prism has the shape of a rectangle, and it is a cut made in a certain height of the prism.

The dimensions of this horizontal cross section will be the length and the width of the original prism.

So, in this case, the length of the cross section is 104 inches, and the width is 66 inches.

Answer:

Step-by-step explanation:

We assume your equation is intended to be ...

  h = -16t² +38.4t +0.96

The line of symmetry of this equation, hence the t-coordinate of the vertex, is given by ...

  h = ax² +bx +c

  t = -b/(2a) . . . . equation of the line of symmetry

  t = -38.4/(2(-16)) = 1.2

The friend catches the apple after 1.2 seconds.

The value of h at that point is ...

  t = (-16(1.2) +38.4)1.2 +0.96 = 19.2·1.2 +0.96 = 24

The apple is caught 24 feet above the ground.

Answer:

y = 1.5x + 4

The slope is 1.5, and the y-intercept is 4.

Answer:

10

Step-by-step explanation:

Answer:

The old apple revels in its authority.

Answer:

5

Step-by-step explanation:

Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?

this can be solved using simultaneous equation. Two equations can be formed from the question

2a + 3b = 19  equation 1

1a + 4b = 17    equation 2

Multiply equation 2 by 2

2a + 8b = 34  equation 3

Subtract equation 1 from 3

5b = 15

divide both sides of the equation by 5

b = 3

Substitute for b in equation 1

2a + 3(3) = 19

2a = 9 = 19

collect like terms

2a = 10

divide both sides of the equation by 2

a = 5

The probability that more than but fewer than have a personal computer is 0.0166.

A random sample of households is selected (N) = 172.

P = 0.6 (60% of households have personal computers).

First, we need to check the conditions of normality that Np and N(1-p) both are greater than or equal to 5.

Np = 172*0.6 = 103.2

N(1-p) = 172*0.4 = 68.8

Both the conditions are met and we can use the z table to estimate the required probabilities.

Z = (x-mean)/SD

Mean = Np = 172*0.6 = 103.2

SD = √Np(1-p) = 6.4249513617

We will use continuity correction here,

In continuity correction;

P(X>=X) = P(X>x-0.5)

P(x<=X) = P(x<x+0.5)

P(X<X) = P(X<x-0.5)

P(X>X) = P(X>X+0.5)

P(X1<X<X2) = p(x1-0.5<X<X2+0.5)

P(52<X<89)

By continuity correction,

P(51.5<X<89.5) = P(X<89.5)-P(X<51.5).

P(X<89.5)

Z = (89.5-103.2)/6.42495 = -2.13

From the z table,

P(z<-2.13) = 0.0166

P(X<51.5)

Z = (51.5-103.2)/6.42495 = -8.05

From the z table,

P(z<-8.05) = 0.0000

The required probability is 0.0166-0.0000 = 0.0166

The probability that more than but fewer than have a personal computer is 0.0166.

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Question:

52% of the total number of students in a school are boys. If there are 260 boys,​ how many students are there in total? how many of them are girls?

Answer and Step-by-step explanation:

The total amount of students is 500.

Yo get this by dividing 260 by 52%, or 0.52

Now, we know 260 is the amount of boys, so to find the amount of girls, we subtract 260 from 500.

500 - 260 = 240.

There are 240 students that are girls.

This also means that 48% of the total number of students in a school are girls.

#teamtrees #PAW (Plant And Water)

From the given options, it appears that option C, \( X = (\bar{A} \cdot \bar{B}) + (B \cdot C) \), best describes the action of the circuit based on the logical operations performed.

To determine which of the given Boolean equations describes the action of the circuit, let's analyze each equation step by step.

A. \( X = (\overline{A \cdot B}) + (B \cdot C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (\overline{A \cdot B}) \), represents the negation of the logical AND operation between \( A \) and \( B \). The second term, \( (B \cdot C) \), represents the logical AND operation between \( B \) and \( C \). The two terms are then summed using the logical OR operation.

B. \( X = (A \cdot B) \cdot (B + C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (A \cdot B) \), represents the logical AND operation between \( A \) and \( B \). The second term, \( (B + C) \), represents the logical OR operation between \( B \) and \( C \). The two terms are then multiplied using the logical AND operation.

C. \( X = (\bar{A} \cdot \bar{B}) + (B \cdot C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (\bar{A} \cdot \bar{B}) \), represents the negation of \( A \) ANDed with the negation of \( B \). The second term, \( (B \cdot C) \), represents the logical AND operation between \( B \) and \( C \). The two terms are then summed using the logical OR operation.

It's important to note that without additional context or a specific circuit diagram, we can't definitively determine the correct equation for the circuit. The given equations represent different logic configurations, and the correct equation would depend on the specific circuit design and desired behavior.

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Answer:

The problem is about cases of diabetes in old people through months.

The variable is descrete , because it doesn't admit decimal numbers, it represents people, and people are whole numbers.

The frequency table would be

January                       24

February                     30

March                          20

April                             18

May                             28

June                             12

The total number of people is 132.

The mean would be the total number of people divided by the six months.

\(\mu = \frac{132}{6} =22\)

Therefore, the mean is 22 people per month.

Remember that the median is the value at the center of the data set, which is between March and April, so

\(\frac{20+18}{2}=19\)

Therefore, the mean is 19.

The third statistical value is determined by the major frequency. So, the data that repeats the most is February, which means that month encloses the majority of people.

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

The time it will it take him to grade 150 papers is 32 minutes, 4 seconds

It is important to note that proportion is a method of comparison in which two expressions or equations are made equal to each other.

From the information given, we have that;

Mr. B grades a total of 12.5 papers in 2.7 minutes.

Then, for 150 papers, we would have;

If 12. 5 papers = 2.7 minutes

Then 150 papers = x

Cross multiply the values

12.5x = 2.7(150)

multiply the values

12.5x = 405

Divide the values by the coefficient of x, we get;

x = 405/12.5

x = 32 minutes, 4 seconds

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Answer:

2120.58 centimeters³

Explanation:

First divide the diameter by 2 to get 9. The volume of a cone is 1/3*π*r²*h so  1/3*π*9²*25

This equals 2120.59 cm³ (cubed)

Therefore, the general solution to the nonhomogeneous system is:
x(t) = c1 e^(-t) (1,1) + c2 e^(-4t) (3,-2) + (11/5 e^(-t) - 2/5 e^(-4t), -13/5 e^(-t) + 1/5 e^(-4t))

To solve the nonhomogeneous system x=(-2_3}x +(22"), we can use the method of variation of parameters. The first step is to find the general solution to the associated homogeneous system, which is x=(-2_3}x. We can do this by finding the eigenvalues and eigenvectors of the coefficient matrix:
| -2   3 |
|  2  -3 |
The eigenvalues are λ = -1 and λ = -4. For λ = -1, the corresponding eigenvector is (1,1), and for λ = -4, the corresponding eigenvector is (3,-2). Therefore, the general solution to the homogeneous system is:
x(t) = c1 e^(-t) (1,1) + c2 e^(-4t) (3,-2)
To find the particular solution to the nonhomogeneous system, we assume that the solution has the form:
x(t) = u1(t) (1,1) + u2(t) (3,-2)
We then substitute this into the original system and solve for u1'(t) and u2'(t). This gives us:
u1'(t) = -11/5 e^(-t) + 2/5 e^(-4t)
u2'(t) = 13/5 e^(-t) - 1/5 e^(-4t)
Integrating these expressions with respect to t, we get:
u1(t) = 11/5 e^(-t) - 2/5 e^(-4t) + c1
u2(t) = -13/5 e^(-t) + 1/5 e^(-4t) + c2
where c1 and c2 are constants of integration. Therefore, the general solution to the nonhomogeneous system is:
x(t) = c1 e^(-t) (1,1) + c2 e^(-4t) (3,-2) + (11/5 e^(-t) - 2/5 e^(-4t), -13/5 e^(-t) + 1/5 e^(-4t))
where c1 and c2 are determined by the initial conditions. This is the final solution to the given nonhomogeneous system using the variation of parameters method.

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Answer:

Option C is correct

Step-by-step explanation:

To multiply a scalar number with a matrix, we will multiply that number with all elements in matrix.

As shown in picture, suppose matrix B = 3 x matrix A

=> matrix B = [3x(-2)   3x0; 3x4 3x(-7)] = [-6 0; 12 -21]

=> Option C is correct

The center of the circular track with the equation x² - 18x + y² - 22x = -177 is (20, 0). See below for other solutions

The equation of a circle that passes through the origin is represented as

x² + y² = r²

Where

r = radius

For circle 13, we have

Point = (0, 6)

So, the radius is

0² + 6² = r²

r = 6

This gives

x² + y² = 6²

For the point (√11, 5), we have

(√11)² + 5² = 6²

36 = 36 --- true

The point (√11, 5) is on the circle

For circle 14, we have

Point = (-7, 0)

So, the radius is

-7² + 0² = r²

r = 7

This gives

x² + y² = 7²

For the point (√14, 6), we have

(√14)² + 6² = 7²

50 = 49 --- falsee

The point (√14, 6) is not on the circle

Andy's error is that he did not square 12 in (√23)² + (11)² ≠ 12

The correct solution is

(√23)² + (11)² = 12²

144 = 144

The point (√23, 11) is on the circle

The equation of a circle is represented as

(x - a)² + (y - b)² = r²

For circle 16, we have

Center = (-1, 5)

Radius, r = 4

So, we have

Equation: (x + 1)² + (y - 5)² = 4²

For circle 17, we have

Center = (2, 0)

Point = (-2, 3)

So, we have

Equation: (x - 2)² + (y - 0)² = (-2 - 2)² + (3 - 0)²

Equation: (x - 2)² + y² = 25

Given that

x² - 18x + y² - 22x = -177

This gives

x² - 40x + y² = -177

Factorize

(x - 20)² + y² = -177 + 400

Evaluate

(x - 20)² + y² = 223

From the above, we have

Center = (20, 0)

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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the shape of the sampling distribution of p is approximately normal.

The shape of the sampling distribution of p is approximately normal because the conditions for approximating a binomial distribution to a normal distribution are satisfied: n is sufficiently large, and np(1-p) is greater than or equal to 10.

In this case, we have:

n = 900 (sample size)

p = 0.532 (sample proportion)

N = 30,000 (population size)

To check if the conditions are met, we can calculate np(1-p):

np(1-p) = 900 * 0.532 * (1 - 0.532) ≈ 239.48

Since np(1-p) is greater than 10, the condition is satisfied.

Additionally, to ensure that the sample size is sufficiently large, we compare n to 5% of the population size (0.05 * 30,000 = 1,500). Since 900 is less than 1,500, the condition is met.

Therefore, the shape of the sampling distribution of p is approximately normal.

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Answer:

48 years old

Step-by-step explanation:

5 years old after 7 years is 12 years old. 12×4=48 years old

Answer: mirza's father age is 41 years

Step-by-step explanation:

mirza's present age = 5

mirza's age after seven years = 5+7 = 12

mirza's father age = x

therefore, x =4(12)=48

mirza's father present age = 48-7=41

Answer:

hypo:6.5

angle:57°

x

according to the question

\( \cos( {57}^{o} ) = \frac{x}{6.5} \)

\(x = 6.5\cos( {57}^{o} ) \)

\(x = 3.5\)

Answer:

375,000,000 milliliters of water is in the pool.

Step-by-step explanation:

We know

1 liters = 1000 milliliters

hence to convert liter in to milliliter we have to multiply the liter unit  with 1000 to get the milliliter

we have to find value of 375,000 liters in milliliters

to get that we multiply both side by 375,000

1* 375,000 liters = 1000* 375,000 milliliters

thus,

375,000 liters = 375,000,000 milliliters

thus, there is 375,000,000 milliliters of water is in the pool.

24

24x3.14

75.36

75.36/3.14

= 24 its b

Answer: 36pi(cm)^2 Answer B

Step-by-step explanation:

Answer:

2/3 bottle of car wax

Step-by-step explanation:

If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.

Hope this helps!