the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 800 voters in the town and found that 64% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 60%. determine the decision rule for rejecting the null hypothesis, h0, at the 0.10 level.

Answer:

\(\huge\colorbox{pink}{✏﹏ \: Inertia \: }\)

➳ Inertia refers to the tendency to do nothing or to remain unchanged in its state of motion or rest unless an external unbalanced force acts on it (Newton's third law of motion - also known as the Law of Inertia)

THE ABOVE SEQUENCE IS ARITHMETIC

WE KNOW THAT THE FIRST TERM a =12

AND THE DIFFERENCE d=18-12=6

THE LOGIC OF ARITHMETIC SEQUENCE SAYS THAT

\(t(n) = a + (n - 1)d \\ t(50) = a + (50 - 1)d \\ t(50) = a + 49d \\ t(50) = 12 + 49(6) \\ t(50) = 306\)

THE ANSWER IS 306

GOODLUCK

Answer:

306 is the answer

To find the volume of the largest box that can be manufactured, we need to determine the size of the squares that need to be cut from the corners of the tin sheet.

Let's assume the side length of each square cut from the corners is x inches. When we cut out squares from each corner, the dimensions of the resulting open box will be (8 - 2x) inches by (15 - 2x) inches by x inches. To maximize the volume, we need to find the value of x that maximizes the expression (8 - 2x)(15 - 2x)(x). To find the maximum, we can take the derivative of the volume expression with respect to x and set it equal to zero:

d/dx [(8 - 2x)(15 - 2x)(x)] = 0

Expanding and simplifying the expression, we get:

-60x² + 164x - 120 = 0

Now we can solve this quadratic equation for x. Factoring the equation, we have:

-4(15x² - 41x + 30) = 0

(15x² - 41x + 30) = 0

(3x - 10)(5x - 3) = 0

This gives us two possible values for x: x = 10/3 and x = 3/5.

Since x represents the side length of the square, it cannot be negative or greater than the dimensions of the tin sheet. Therefore, we discard the x = 10/3 solution.

So, the only valid value for x is x = 3/5.

Substituting this value back into the volume expression, we get:

Volume = (8 - 2(3/5))(15 - 2(3/5))(3/5)

      = (8 - 6/5)(15 - 6/5)(3/5)

      = (34/5)(69/5)(3/5)

      = 34 * 69 * 3 / (5 * 5 * 5)

      = 6996 / 125

      = 55.968 cubic inches

Therefore, the largest box that can be manufactured has a volume of approximately 55.968 cubic inches.

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The costs of both companies are found using the equations of line y = 50x + 150.

A straight line's general equation is y = mx + c, where m denotes the line's slope and c its y-intercept.

Given,

In addition to a one-time fee, two plumbing companies bill customers for each hour of work.

Costs of Quality Plumbing

The graph has two points at (0,150) and (1,200)

The line's equation is given by

y - 150 = (200-150)/(1-0) (1-0) [ x - 0]

y - 150 = 50x

y = 50x + 150

Additional plumbing fees

line equation

two points (1, 140) are taken, and (4, 320)

y - 140 = (320-140)/(4-1) (4-1) [x -1]

y - 140 = 60x - 60

y = 60x + 80

(For an hour.

Cost = y = 60 * 1 + 80 = $ 140

One-time cost

y = 60 * 0 + 80 = $ 80

c) One hour long

Cost = y = 50* 1 + 150 = $200

One-time cost

y =50 * 0 + 150 = $ 150

d) Both plumbing businesses' prices are comparable when

50x + 150 = 60x + 80

70 = 10x

x=7 hours.

After resolving the aforementioned equations, the answer is yes.

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Answer:340.25

Step-by-step explanation:

Given

Daily profit is given by

\(p(m)=2.25m-85\)

If the number of meals sold is 189

Put \(m=189\) in profit function

\(\Rightarrow p(189)=2.25\times 189-85\\\Rightarrow p(m)=425.25-85=340.25\)

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

Sorry but if there is no figure of triangle then we cannot say SAS, SSS, ASA, HL.

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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So the Taylor series for the function informed will be:

7x, 7x², 21/6 x³, 7/6 x⁴

The function is:

f(x) = 7eˣx

WE need to use the definition of a Taylor series to find the first four non zero terms of the series for f(x) centered at the given value of a.

f(x) = ∑ (fⁿ(a) (x - a)ⁿ)/n!

The first four terms will be:

f(x) = f(0) + f(1) + f(2) + f(3)

f(x) = (f(a) (0- a)ⁿ)/n! + (f'(a) (1 - a)ⁿ)/1! + (f''(a) (2 - a)²)/2! + (f'''(a) (3 - a)³)/3!

Therefore, the four first terms are 7x, 7x², 21/6 x³, 7/6 x⁴

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answer:

7.65, 7.321, 7.3, 7.065

explanation:

on a number line, these numbers would be in order as shown above from right to left (decreasing value)

Answer:The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Step-by-step explanation:

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

7.065, 7.3, 7.321, 7.65

7.3, 7.321, 7.065, 7.65

7.321, 7.3, 7.65, 7.065

this is correct--> 7.65, 7.321, 7.3, 7.065

Passage:

Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount.

Question:

If they made $188.75 on a job on New Year’s Day, how many hours did they work?

Answer:

Big Time Movers worked "4" hours on New Year’s Day.

Step-by-step explanation:

I did the instruction on edge 202 and got it right

Answer:

332,193 years

Step-by-step explanation:

From the question above, we are to calculate the time in an half life question, hence, the formula is given as

t = In(Nt/No) ÷ -(In2/t½)

Where

t = time is takes for an substance to decay or reduce

Nt = Amount of sample after time = 2g

No = Initial amount of sample = 20g

t½ = Half life = 100,000 years

Hence,

t = In(2/20) ÷ (In 2/ 100,000)

t = 332192.80948874 years

Approximately = 332,193 years

Byron is 5cm taller than Aaron, but 10cm shorter than Caron. Darren is 10cm taller than Caron, but 5cm shorter than Erin. We are asked to determine which of the following statements is true.

To solve the problem, we can start by setting up a system of equations based on the given information.

Let a represent Aaron's height, and we can express the other heights in terms of a. Then, we get:
Byron's height = a + 5
Caron's height = a + 15
Darren's height = a + 25
Erin's height = a + 30
Now, we can see that the difference in height between Byron and Caron is 10cm. Therefore, we can write:
(a + 5) - (a + 15) = 10
Simplifying this equation gives:
-10 = -10
This is true, so we know that our equations are consistent with the given information.
Next, we can compare Darren's height to Erin's height. We are told that Darren is 5cm shorter than Erin. Therefore, we can write:
(a + 25) - (a + 30) = -5
Simplifying this equation gives:
-5 = -5
In conclusion, we can see that the information given in the problem is consistent, and we have used it to set up a system of equations. We can also see that Darren is shorter than Erin, so the true statement is: "Erin is taller than Darren."

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Answer:

22/24

ALL TOGETHER there is 24 donuts.

take half of 24, or 24 divided by 2, and you get 12.

so we know 12 of the donuts are vanilla with sprinkles.

then 2 had strawberry frosting and the rest had chocolate and sprinkles.

we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.

so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total

Answer:

22/24

Step-by-step explanation:

Given:

Diagonal of a square = 24 inches

To find:

The perimeter of the given square.

Solution:

Let a be the edge of the square.

Then, the diagonal of the square is

\(d=\sqrt{2}a\)

Diagonal of a square = 24 inches

\(24=\sqrt{2}a\)

\(\dfrac{24}{\sqrt{2}}=a\)

\(\dfrac{24}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}=a\)

\(\dfrac{24\sqrt{2}}{2}=a\)

\(12\sqrt{2}=a\)

The perimeter of the square.

\(Perimeter=4a\)

\(Perimeter=4(12\sqrt{2})\)

\(Perimeter=48\sqrt{2}\)

Therefore, the perimeter of the square is \(48\sqrt{2}\).

Answer:

A

Step-by-step explanation:

:p

Answer:

Step-by-step explanation:

hello : an equation is :

x²+y²=64

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

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Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD

The equation \(x^2 - 4x + y^2 + 8y\) can be rewritten as \((x - 2)^2 + (y + 4)^2 = 20\), and the center of the circle is \((2, -4)\) with a radius of \(2sqrt(5).\)

To complete the square and rewrite the equation, let's focus on the terms involving x and y separately.

For \(x^2 - 4x\), we can complete the square by taking half of the coefficient of x, which is -4, and squaring it: \((-4/2)^2 = 4\). Add this value to both sides of the equation:

\(x^2 - 4x + 4 = 4\)

For y^2 + 8y, we can complete the square by taking half of the coefficient of y, which is 8, and squaring it: (8/2)^2 = 16. Add this value to both sides of the equation:

\(y^2 + 8y + 16 = 16\)

Now, let's rewrite the equation using these completed squares:

\((x^2 - 4x + 4) + (y^2 + 8y + 16) = 4 + 16\)

Simplifying the equation:

\((x - 2)^2 + (y + 4)^2 = 20\)

Now we can identify the center and radius of the circle. The equation is in the form\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle, and r represents the radius.

From our equation, we can see that the center of the circle is (2, -4) and the radius is \(sqrt(20)\), which simplifies to \(2sqrt(5)\).

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The equation \(\[ x^2 - 4x + y^2 + 8y \]\) can be rewritten as \(\[ (x - 2)^2 + (y + 4)^2 = 20 \]\). The center of the circle is (2, -4), and the radius is \(\[ \sqrt{20} \]\).

To rewrite the given equation using the method of completing the square, we need to rearrange the terms and add a constant value on both sides of the equation. Let's start with the given equation:

\(\[ x^2 - 4x + y^2 + 8y \]\)

To complete the square for the x terms, we take half of the coefficient of x (-4) and square it. Half of -4 is -2, and (-2)² is 4. We add this value inside the parentheses to both sides of the equation:

\(\[ x^2 - 4x + 4 + y^2 + 8y \]\)

For the y terms, we follow the same process. Half of the coefficient of y (8) is 4, and (4)² is 16. We add this value inside the parentheses to both sides of the equation:

\(\[ x^2 - 4x + 4 + y^2 + 8y + 16 \]\)

Now, we can rewrite the equation as:

\(\[ (x^2 - 4x + 4) + (y^2 + 8y + 16) = 4 + 16 \]\)

The first parentheses can be factored as a perfect square: (x - 2)².

Similarly, the second parentheses can be factored as a perfect square: (y + 4)². Simplifying the right side gives us:

\(\[ (x - 2)^2 + (y + 4)^2 = 20 \]\)

Comparing this equation to the standard form of a circle, \(\[ (x - h)^2 + (y - k)^2 = r^2 \]\), we can identify the center and radius of the circle. The center is given by (h, k), so the center of this circle is (2, -4).

The radius, r, is the square root of the number on the right side of the equation, so the radius of this circle is \(\[ \sqrt{20} \]\).



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To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Answer:

5x  

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

56x-32

Step-by-step explanation:

7x-4 Times 8x+8

7xtimes8x

56x-4times8

56x-32

Answer: 6 - 1/4 z or 6 - z/4

Step-by-step explanation: One fourth of z can be represented as 1/4 z

(or z/4).  When something is subtracted from something else, it can be represented as the second value given minus the first value given.

6 - 1/4 z or 6 - z/4

Algebraic means of and relating to the algebra. The words “algebraic” or “algebra” have so much different meanings in mathematics, still their meanings aren't as variable like the meanings of the words such as “go” have in the English. Algebra has to do with operations, especially addition or multiplication and summerizing.

One fourth of z can be represented as 1/4 of z (or z/4)

When something is subtracted from something else, this can be represented as the 2nd value given minus the 1st value given

so One fourth of z is 1/4 of z (or z/4)

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Answer:

35 acres

Step-by-step explanation:

We have 15.8 happys per acre and the we have exactly 553 happys living in happy land.

To calculate the number of acres, we just need to divide the number of happys we have by the number by the number of happys per acre

Mathematically, that would be 553/15.8 = 35 acres

Happyland have 35 acres of Land.

Given to us:

Population of Happyland = 553 Happys

Population of Happyland per acre = 15.8 Happys per acre,

Land with Happyland in acres:

\(\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\)

Putting in the value we get,

\(\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\\\\\rm {Land with Happyland in acres =\dfrac{553}{15.8}}\\\\\rm {Land with Happyland in acres = 35 acres\)

Hence, Happyland have 35 acres of Land.

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Answer:

maybe 95?

Step-by-step explanation:

Answer:

B or A but mainly B

Step-by-step explanation:

Answer:45

Step-by-step explanation: