A(n) = A(n-1) + 5.1; A(1) = 9.6

Answer:

d - hundreds

Step-by-step explanation:

290- 2 hundred

Answer:

D

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

a2+b2=c2

so

144+25=c2

169=c2

square root 169

=13

The correct answer to the question is b. The sampling frame does not contain all individuals in the population.

b. The sampling frame does not contain all individuals in the population.

Undercoverage in a simple random sample refers to the situation where the sampling frame, which is the list or source from which the sample is drawn, does not include all individuals in the population of interest. This means that certain individuals in the population have no chance of being selected in the sample, leading to an incomplete representation of the population.

Option a, where some individuals that are randomly selected refuse to participate, refers to nonresponse bias, which is a different issue in sampling. It occurs when selected individuals choose not to participate in the study, potentially introducing bias if the reasons for nonresponse are related to the variables being studied.

Option c, where some individuals who answer the questions did not answer truthfully, refers to response bias, which is also a separate concern in sampling. Response bias occurs when participants provide inaccurate or misleading responses, either intentionally or unintentionally, which can distort the results of the study.

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Answer:

9, 11, and 19

Step-by-step explanation:

9, 11, and 19 are the only plausible answers because there were only 2 periods where the phone was at 100% (other than when the graph started) and these are the only hours that fell within those periods..

Answer:

2.05m

Step-by-step explanation:

hello

beth spent 1/3 of the time needed for her assignment on a chapter and a further 20 minutes writing an essay

let the total time she spent doing her home work be represented by x

total time = reading a chapter + writing an eassy

let's solve the equation and find x

Beth spent 30 minutes doing her home work

The sentence in absolute value inequality is;

⇒ | - 2.1 - y/2| < 8

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic expression is;

''Half a number is not more than 8 units from -2.1''.

Now,

Let a number = y

Then, we can formulate;

⇒ | - 2.1 - y/2| < 8

Thus, The sentence in absolute value inequality is;

⇒ | - 2.1 - y/2| < 8

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The p-value is the chance that the null hypothesis is correct if it is true. As a result, the smaller the p-value, the less probable it is that the null hypothesis is accurate.

The rejection of the null hypothesis occurs when the p-value is less than the level of significance. It suggests that the information available does not support the null hypothesis, therefore we should decline it.To summarize, when the p-value is less than the level of significance, we should refuse the null hypothesis, and if the p-value is greater than the level of significance, we should not reject the null hypothesis. Suppose a researcher is testing the hypothesis p versus p and she finds the p-value to be .10. It means that there is a 10% chance that the null hypothesis is correct if it is accurate (meaning that there is a 10% chance that the difference observed is due to chance alone).We refuse the null hypothesis when the p-value is less than the level of significance. Since the p-value in this scenario is .10, and the standard level of significance is .05, we can conclude that the data does not support the null hypothesis because the p-value is higher than the level of significance. As a result, the null hypothesis cannot be refused, and there is insufficient evidence to conclude that the population means are unequal (or different).

In conclusion, since the p-value is higher than the level of significance in this scenario, we cannot refuse the null hypothesis, implying that there is inadequate evidence to conclude that the population means are unequal (or different).

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Answer:

Answer = 13.5

Step-by-step explanation:

A square has 4 sides

54 / 4 = 13.5

The side of the square will be 7.34 inches.

A square is a quadrilateral having all the sides equal to each other and the sum of the angles will be 360 degrees. The area is defined as the space occupied by the shape in a two-dimensional plane.

Given that a square has an area of 54 sq in . the length of each side is the same.

The side of the square will be calculated as below:-

Area of square = Side²

54 = Side²

Side = √54

Side = 7.34 inches.

Therefore, the side of the square will be 7.34 inches.

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a = b

b = 180° - 130° = 50°

so a = 50°

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

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Answer:

20

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of the measures of two complementary angles is 90°.

m<C + m<D = 90°

5x + 7x - 6 = 90

12x = 96

x = 8

Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

Answer:

Answer is (d) 3

You can see that :

6/2 = 12/4 = 18/6 = 24/8 = 30/10 = 3

Thua the answer is 3

Answer:

Yes

Step-by-step explanation:

Answer: yes it is linear

Step-by-step explanation: linear line is a straight line and y=-4 is 1 line so it is linear

Answer:

Let s = each square foot of wood installed

Step-by-step explanation:

Total cost of laying wood = base price + price for each square foot installed

Base price = $250

Price for each square foot installed = $3.50

Let

s = number of each square foot installed

Total cost of laying wood = $250 + $3.50s

The correct answer is

Let s = each square foot of wood installed

Using the fοrmula fοr area οf a rectangle, the area οf figure is 142ft²

The area οf a rectangle is calculated by multiplying its length by its width. Sο, if the length οf a rectangle is "l" and its width is "w", then the area οf the rectangle is Area = length x width = l x w

Diving the figure intο three rectangles and adding their individual area we get the area οf figure.

Area οf 1st rectangle with dimensiοns 1ft x 15ft

A₁=1ft x 15ft = 15ft²

Area οf 2nd rectangle with dimensiοns 5ft x (15-4)ft

A₂= 5ft x (11)ft = 55ft²

Area οf 3rd rectangle with dimensiοns (18-1-5)ft x (15-4-5)ft

A₃= 12ft x 6ft = 72ft²

By adding the areas

A= A₁ + A₂ + A₃ = 15+55+72= 142ft²

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From the above-mentioned data, it can be inferred that: When the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10 while the income effect causes the individual to change consumption of good 1 by −6.

The total effect can be calculated as the sum of both substitution and income effects. The total effect = substitution effect + income effect= 10 - 6= 4Thus, the total effect is 4.Now, to determine whether good 1 is normal or inferior, we need to consider the sign of the income effect.

If the income effect is negative, the good is inferior, and if it's positive, the good is normal.Since the income effect here is negative (-6), we can conclude that good 1 is inferior.

According to the given data, we can calculate the total effect, which is the sum of the substitution and income effects.  The substitution effect refers to the change in consumption of a good due to the relative price change, while the income effect refers to the change in consumption of a good due to the purchasing power change.  when the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10, while the income effect causes the individual to change consumption of good 1 by −6. Therefore, the total effect can be calculated as the sum of both substitution and income effects, which is 10 - 6 = 4.From the data, it can also be determined whether good 1 is normal or inferior. A good is considered normal when its income effect is positive and inferior when its income effect is negative. Since the income effect here is negative (-6), it can be concluded that good 1 is inferior.Thus, the total effect is 4, and good 1 is inferior.

The total effect is 4, and good 1 is inferior.

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Based on Lucinda's marginal benefit when the Kewpie price is $8 per doll, a rational Lucinda would buy 4 dolls.

Lucinda would buy the same number of dolls that would equate their price to their marginal benefit to her.

If the price is $8 therefore, the number of dolls that corresponds to the marginal benefit of $8 is 4 dolls.

Lucinda would therefore buy 4 dolls.

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Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

Answer:

-7 (4y-3x) - 8 = 0

Step-by-step explanation:

Answer: (4y + −7) − ( 3x + −8)

Step-by-step explanation:

Step-by-step explanation:

An + c = d

an=d-c

a=(d-c)/n is your answer

Answer:

(0, 6) and (-5, -9)

Step-by-step explanation:

y = 3x + 6

y = (x + 4)² - 10

*Perfect square trinomial rule: (a + b)² = a² + 2ab + b²

Using substitution, we can substitute the value of y from the first equation for the value of y for the second equation.

y = (x + 4)² - 10  ⇒  3x + 6 = (x + 4)² - 10

New equation:

3x + 6 = (x + 4)² - 10

Solve
3x + 6 = (x + 4)² - 10 <== simplify (x + 4)² using the rule listed above

3x + 6 = x² + 2(x)(4) + 4² - 10

3x + 6 = x² + 2(4x)  + 4(4) - 10

3x + 6 = x² + 8x + 16 - 10 <== combine any like terms

3x + 6 = x² + 8x + 6 <== subtract 6 from both sides

    - 6                 - 6

3x = x² + 8x <== rearrange

-x² - 8x + 3x = 0 <== combine any like terms

-x² -5x = 0 <== factor out -x

-x(x + 5) = 0

Find the zeros/x-intercepts of the equation:

-x = 0                          x + 5 = 0

/-1    /-1                           - 5    - 5

x = 0                            x = -5

Therefore, the zeros of the system of equations are: 0 and -5

Next, substitute the x values into y = 3x + 6.

For x = 0:

y = 3(0) + 6

y = 0 + 6

y = 6

(0, 6)

For x = -5:

y = 3(-5) + 6

y = -15 + 6

y = -9

(-5, -9)

The solution sets for the system of equations are: (0, 6) and (-5, -9)

Hope this helps!

Answer:

D IS THE ANSWER EQUATION

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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Answer:

Page 1

1)

a) - 5x^4+3

Degree: 4

Number of terms: 2

b) 5x² + 30x+25

Degree: 2

Number of Terms: 3

c) 16r^4p

Degree: 4

Number of Terms: 1

d) 9m²n + 12mn +4m -6n+19

Degree:2

Number of Terms:5

Note:

Degree: the highest exponent of the variable x)

Number of terms: It is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or - signs, or sometimes by divide

Page 2:

Add or subtract the following polynomials.

a) (3p^3+6p^2+14p)+(-5p^3-2p+8p^2

opening bracket

3p^3+6p^2+14p+(-5p^3-2p+8p^2)

3p^3+6p^2+14p-5p^3-2p+8p^2

Combining like terms

-2p^3 +14p^2+12p

b) (7y^3-5y)-(5y-7y^3)

Opening bracket

7y^3-5y-5y+7y^3

Combining like terms

14y^3-10y

c) (6z^4+15-7z^3)+(-2z^4+8z^3-5z^5)

Opening bracket

6z^4+15-7z^3-2z^4+8z^3-5z^5

-5z^5 +4z^4+1z^3+15

d) (-3n²-14n+1)-(-7n+2-6n²)

Opening bracket

-3n²-14n+1+7n-2+6n²

3n²-7n-1

e) (7b^3-14-8b^4) − (−3b^4+7b³ +4)

Opening bracket

7b^3-14-8b^4+3b^4-7b³-4

-5b^4-18

f) (-3n^2-4n+2n⁴) + (3n^2+ 19n-7n^4)

Opening bracket

-3n^2-4n+2n⁴+3n^2+ 19n-7n^4

-5n⁴+15n

Answer:

Page 1

1)

a) - 5x^4+3

Degree: 4

Number of terms: 2

b) 5x² + 30x+25

Degree: 2

Number of Terms: 3

c) 16r^4p

Degree: 4

Number of Terms: 1

d) 9m²n + 12mn +4m -6n+19

Degree:2

Number of Terms:5

Note:

Degree: the highest exponent of the variable x)

Number of terms: It is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or - signs, or sometimes by divide

Page 2:

Add or subtract the following polynomials.

a) (3p^3+6p^2+14p)+(-5p^3-2p+8p^2

opening bracket

3p^3+6p^2+14p+(-5p^3-2p+8p^2)

3p^3+6p^2+14p-5p^3-2p+8p^2

Combining like terms

-2p^3 +14p^2+12p

b) (7y^3-5y)-(5y-7y^3)

Opening bracket

7y^3-5y-5y+7y^3

Combining like terms

14y^3-10y

c) (6z^4+15-7z^3)+(-2z^4+8z^3-5z^5)

Opening bracket

6z^4+15-7z^3-2z^4+8z^3-5z^5

-5z^5 +4z^4+1z^3+15

d) (-3n²-14n+1)-(-7n+2-6n²)

Opening bracket

-3n²-14n+1+7n-2+6n²

3n²-7n-1

e) (7b^3-14-8b^4) − (−3b^4+7b³ +4)

Opening bracket

7b^3-14-8b^4+3b^4-7b³-4

-5b^4-18

f) (-3n^2-4n+2n⁴) + (3n^2+ 19n-7n^4)

Opening bracket

-3n^2-4n+2n⁴+3n^2+ 19n-7n^4

-5n⁴+15n

Step-by-step explanation:

Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249