I WILL GIVE 10 POINTS
Divide 15x5 − 3x3 − 9x2 by −3x2.

12x3 − 6x − 12
−5x3 − 6x + 3
−5x3 + x + 3
−5x3 + x − 3

Answers

Answer 1

The option (3) is correct the quotient is −5x³ + x + 3.

What is factorization method in quadratic equation ?

To solve quadratic equations by factoring, we first express the quadratic polynomial into a product of factors by using middle term splitting or different identities and then set each factor equal to 0. The equation a x 2 + b x + c = 0 ( a ≠ 0 ) can be written as.

According to given question

To divide[tex]15x^5[/tex] − 3x³ − 9x² by −3x² using the factorization method, we can factor out −3x² from the expression and simplify to get:

[tex]15x^5[/tex]− 3x³ − 9x²= −3x²(−5x³ + x + 3)

Therefore, the quotient is −5x³ + x + 3.

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Related Questions

Can someone please help me ASAP? It’s due tomorrow!! I will give brainliest if it’s all correct

Please do part a, b, and c

Answers

The mean and range of the same population can differ if there is a significant difference between the sampled respondents.

Between Jayden and Carter, Carter's calculation will provide a better understanding of the population.

The reason is that he sampled more people with a wider time range.

Why the mean and range differ

The mean is the average number of minutes it took for the respondents to dress up. The goal of any survey work is to capture a significant size of the population whose opinions can give a true picture of the situation being examined.

In the case of Carter, we see that he took a more sizable amount of the population having randomly selected 7 samples of 10 students. A greater number of respondents will give a truer picture of the factor being surveyed.

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Can someone help with this question????

Answers

Answer:

besides this pic nothing else can be done

Graph of polygon ABCDE with vertices at negative 3 comma 3, negative 3 comma 6, 1 comma 6, 1 comma 3, negative 1 comma 1. A second polygon A prime B prime C prime D prime E prime with vertices at negative 5 comma 3, negative 5 comma 6, negative 9 comma 6, negative 9 comma 3, negative 7 comma 1.

Determine the line of reflection.

Reflection across x = −4
Reflection across y = 1
Reflection across the x-axis
Reflection across the y-axis

Answers

The line of reflection is reflection across x = −4

Explain the term line

A line is an infinitely long and infinitely thin one-dimensional object that extends in opposite directions. It has no endpoints and is often represented by a straight line with two arrowheads. Lines are a fundamental concept in mathematics and are used to define other objects such as planes, angles, and shapes.

According to the given information

Let's use points A(-3, 3) and A'(-5, 3). The midpoint of the line segment connecting A and A' is ((-3 + (-5))/2, (3 + 3)/2) = (-4, 3). The slope of the line segment connecting A and A' is (3 - 3)/(-5 - (-3)) = 0. Since the line of reflection is perpendicular to this line segment, its slope is the negative reciprocal of 0, which is undefined. This means that the line of reflection is a vertical line.

Since the midpoint of the line segment connecting A and A' lies on the line of reflection and has an x-coordinate of -4, we can conclude that the line of reflection is x = -4.

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how to find the slope of a normal line based on the equation of a tangent line

Answers

By following these steps, we can easily find the slope of a normal line based on the equation of a tangent line.

To find the slope of a normal line based on the equation of a tangent line.

Identify the slope of the tangent line:

Look at the equation of the tangent line, which will usually be in the form y = mx + b, where m is the slope of the tangent line and b is the y-intercept.

Extract the value of m from the equation.
Calculate the negative reciprocal:

To find the slope of the normal line, we'll need to calculate the negative reciprocal of the tangent line's slope.

The negative reciprocal of a number is found by flipping the fraction and changing the sign (from positive to negative, or from negative to positive).

For example, if the slope of the tangent line (m) is 3, the negative reciprocal will be -1/3.

If the slope of the tangent line is -2/3, the negative reciprocal will be 3/2.
The slope of the normal line:

The negative reciprocal calculated in step 2 is the slope of the normal line.

This slope will be perpendicular to the tangent line, meaning that the angle between the normal and tangent lines is 90 degrees.

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FIND Z OF THIS CIRCLE

Answers

Answer:

Step-by-step explanation:

A cylinder has a height of 20 millimeters and a radius of 6 millimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

V = hpi(r)^2

 =  20(3.14)(17)^2 = 18,149.20 cubic mm

More accurately,

V = 20(3.14159)(17)^2 = 18158.39 mm^3

Step-by-step explanation:

How many milliliters is 0.005 L?A) 0.5 mL B) 5 mL C) 0.50 mL D) 0.000005 mL E) 200 mLAns: B Category: Medium Section: 1.9

Answers

After conversion, B) 5 mL is 0.005 L milliliters

The quantity given = 0.005 L

Using a unit conversion, the same property is stated in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometres, or any other measurement method can be used to measure distance in place of miles.

To convert from litres to millilitres, it is required to multiply the quantity by 1000. This is because there are 1000 millilitres in one litre.

Therefore, converting the given value-

= 0.005 L x 1000 mL/L

= 5

Thus, the resultant value after conversion is 5mL

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Julio is planting a tree. He needs to dig a hole that is 2 feet deep. He has already dug a hole that is 1 ¼ feet deep. How many more inches does Julio need to dig to make sure the hole is deep enough?

Answers

Answer:

9 inches

Step-by-step explanation:

A foot is 12 inches long. To find a fourth of a foot, divide 12 by four to get 3. This means that Julio has already dug a hole one foot and three inches deep. To make his hole two feet deep, he will need to dig the other 3/4 of the foot. To find 3/4 of a foot, take 1/4 of a foot (3 inches) and multiply by 3 (9 inches).
Julio will have to dig 9 more inches.

Question 19
By age 65 the number of Americans who experience hearing loss sufficient to affect communication is:
a. 1 in 2
b. 1 in 3
c. 1 in 4
d. 1 in 5

Answers

The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.

According to the National Institute on Deafness and Other Communication Disorders (NIDCD).

Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.

This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.

NIDCD (National Institute on Deafness and Other Communication Disorders).

In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.

This is based on information from surveys done by the National Health Interview Survey and the NIDCD.

The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.

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The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.



Write an exponential growth function that represents the population t
years after 2000.

y=

.

What will the population be in 2020? Round your answer to the nearest thousand.

The population will be about
.

Answers

The exponential growth function for the given initial population of the city is y = 315,000 × (1 + 0.02)ⁿ .

And the population increase in the year 2020 is equal to 468000.

Population in the year 2000 = 315,000

Increase in population growth by 2%

The population is increasing by 2% annually, which means the growth rate is 0.02 per year.

The initial population in the year 2000 is 315,000.

An exponential growth function as follows,

y = a ( 1 + r )ⁿ

Where 'a' represents the initial population of the city.

And 'r' represents the rate of the growth of the population.

y = 315,000 × (1 + 0.02)ⁿ

where n is the number of years after 2000 .

And y is the population at that time.

To find the population in the year 2020,

Substitute n = 20 into the equation to get the population in 2020 and solve for y,

y = 315,000 × (1 + 0.02)²⁰

⇒ y = 315,000 × (1.02)²⁰

⇒ y = 315,000 × 1.4860

y ≈ 468073.4

Rounding to the nearest thousand, the population in 2020 will be about 468000.

Therefore, the exponential growth function is y = 315,000 × (1 + 0.02)ⁿ and the population in 2020 is 468000.

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The above question is incomplete, the complete question is:

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.

City limit

Brookfield

Population. 315,000

Write an exponential growth function that represents the population t

years after 2000?

y=

What will the population be in 2020? Round your answer to the nearest thousand.

The population will be about

On average, a certain kind of kitchen appliance requires repairs once every four years. Assume that the times between repairs are exponentially distributed. What is the probability that the appliance will work at least six years without requiring repairs?

Answers

The probability that the appliance will work at least six years without requiring repairs is 0.2231 or 22.31%.

To find the probability that the appliance will work at least six years without requiring repairs, we need to consider the exponential distribution and the given average repair time. Given that the appliance requires repairs once every four years on average, the rate parameter (λ) for the exponential distribution is 1/4, or 0.25.

Here we want to find the probability that the appliance will work at least six years without requiring repairs, which can be represented as [tex]P(X ≥ 6)[/tex], where X is the time between repairs. Using the complementary probability, we can rewrite this as [tex]P(X ≥ 6) = 1 - P(X < 6)[/tex]

The cumulative distribution function (CDF) of the exponential distribution is given by

[tex]F(x) = 1 - e^{(-λx)}[/tex]

Now, we can plug in the values:

[tex]P(X ≥ 6) = 1 - F(6) \\ P(X ≥ 6) = 1 - (1 - e^{(-0.25 \times 6)}) \\ P(X ≥ 6) = 1 - (1 - e^{(-1.5)}) \\ P(X ≥ 6) = e^{(-1.5)}[/tex]

Therefore, the probability that the appliance will work at least six years without requiring repairs is approximately 0.2231 or 22.31%.

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Which model is appropriate for the set {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}

Answers

We can conclude that a quadratic model is appropriate for the given set of points {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}.

To determine which model is appropriate for the given set of points {(-2,4.5),(0,8),(1,10.67),(3,18.96)}, we need to examine the pattern in the data and choose a model that fits the pattern well.

One common approach to fitting a model to data is to use regression analysis. In this case, we can start by plotting the points on a graph and visually examining the pattern.

When we plot the points, we see that they form a curved shape that resembles a quadratic function. To confirm this, we can use regression analysis to fit a quadratic model to the data.

Using a quadratic regression model, we obtain an equation of the form y = ax^2 + bx + c, where a, b, and c are constants to be determined. The regression analysis yields the following coefficients: a = 2.138, b = 1.959, and c = 5.48.

We can now use this quadratic equation to predict y for any given value of x within the range of the data.

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with a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because

Answers

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

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With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

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Divide.

389.5÷1000

pls answer correctly

Answers

0.3895 Answer

Step-by-step explanation:

I thought you meant it on paper.

Answer:

0.3895

Step-by-step explanation:

Write out the division problem: 389.5 ÷ 1000.

Since we're dividing a decimal number by 1000, we can simply move the decimal point three places to the left to convert 1000 to 1.000: 389.5 ÷ 1.000.

Moving the decimal point three places to the left also means we need to add three trailing zeroes to the dividend: 389.5 becomes 389.500.

Now we can perform the long division: divide 3 by 1, write the quotient 3 above the 8, and subtract 3 from 8 to get 5 as the new remainder. Bring down the next digit 8 to get 58.

Divide 58 by 1, write the quotient 58 above the 9, and subtract 58 from 89 to get 31 as the new remainder. Bring down the next digit 5 to get 315.

Divide 315 by 1, write the quotient 315 above the decimal point, and subtract 315 from 389 to get 74 as the new remainder.

Since there are no more digits to bring down, we've reached the end of the long division. The final quotient is 0.3895.

Don't forget to include the decimal point in the answer, since we moved it three places to the left in step 2. The final answer is 0.3895.

So, 389.5 ÷ 1000 = 0.3895.

imagine that you are offered two jobs. there is a 50% chance that you will take the first job and a 40% chance that you will take the second job. assume that you cannot take both jobs. what is the probability that you will take either one job or the other job?

Answers

Answer:

The probability of taking either one job or the other job can be calculated by adding the probabilities of taking the first job and taking the second job, and then subtracting the probability of taking both jobs (since we cannot take both).

Let A be the event of taking the first job, and B be the event of taking the second job. Then, the probability of taking the first job is P(A) = 0.5, and the probability of taking the second job is P(B) = 0.4. The probability of taking both jobs is zero, since we cannot take both.

Therefore, the probability of taking either one job or the other job is:

P(A or B) = P(A) + P(B) - P(A and B)

= 0.5 + 0.4 - 0

= 0.9

So the probability of taking either one job or the other job is 0.9 or 90%

it takes about 700,000 cubic feet of helium to fill a giant parade balloon. Each year, a total of 6.2 billion cubic feet of helium is used by industries around the globe. How many giant parade balloons would that fill?

Answers

Answer:

To find out how many giant parade balloons could be filled with 6.2 billion cubic feet of helium, we can divide the total volume of helium by the volume of one balloon:

Number of balloons = Total volume of helium / Volume of one balloon

First, we need to convert 6.2 billion cubic feet to cubic feet:

6.2 billion = 6,200,000,000

Now we can calculate the number of balloons:

Number of balloons = 6,200,000,000 / 700,000

Number of balloons = 8,857.14

So, approximately 8,857 giant parade balloons could be filled with 6.2 billion cubic feet of helium.

What is an equation of the line that passes through the point ( − 2 , − 2 ) and is parallel to the line 5x − y = 4 ?

Answers

Answer:

(-2,-2)

Step-by-step explanation:

To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.

Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

Substituting m=5, x1=-2, and y1=-2, we get:

y-(-2) = 5(x-(-2))

y+2 = 5x+10

y = 5x+8

Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the

Question 1 (1 point)
Given parallelogram WXYZ, where WX = 2x + 15, XY = x + 27 and YZ = 4x - 21,
determine the length of ZW, in inches.
The length of ZW=

Answers

The length of ZW is 45 inches.

What is a parallelogram?

A parallelogram is a member of quadrilateral which has a pair of opposite sides to be equal, and a pair of slant opposite sides.

In the given information, we have;

WX = YZ (a pair of opposite side of a parallelogram are equal)

2x + 15 = 4x - 21

collect like terms,

21 + 15 = 4x - 2x

36 = 2x

x = 36/2

x = 18

So that;

WX = 2x + 15

      = 2(18) + 15

WX = 36 + 15

      = 51

XY = x + 27

     = 18 + 27

     = 45

Therefore,

ZW = XY  (a pair of opposite sides are equal)

ZW = 45

The length of ZW is 45 inches.

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The ratio of red counters to green counters in a bag is 3:17. What percentage of the counters are red

Answers

Answer:

0.15%

Step-by-step explanation:

red is 3

the total is 20

percentage of red counters = 3 ÷ 20 = 0.15%

a student has 12 toys. her friend has 2 times as many toys. how many toys do they have together​

Answers

Answer:

Together, they have 12 + 2(12) = 12 + 24 = 36 toys.

Answer:

so in total they have 36 toys

Step-by-step explanation:

Identify the area of the figure. PLEASE RESPOND ASAP TYSM!!!

Answers

Answer:

184 cm to the 3

Step-by-step explanation:

13x7 91+90+181 and add 3

Answer is the first choice 184 cm sq.

Let’s break down this figure into:
Long rectangle 7 x 20 = 140
Small rectangle 4 x 8 = 32
Triangle 8H x 3base = 1/2(8)(3) = 12

Added together equals 184cm sq.

I added the attachment to show how I broke it down

GEOMETRY HELP SHOW STEPS PLEASE. HOW TO FIND AREA OF A REGULAR PENTAGON WITH SIDES OF 2

Answers

The area of the regular pentagon is 6.88 unit².

How to find the area of a regular pentagon?

The area of a regular pentagon can be found if one side is known. The formula used for finding the area of a regular pentagon is:

A = 1/4 * [√5(5+ 2√5)] * s²

where s is the length of one side of the regular pentagon.

In this case, s = 2:

A = 1/4 * [√5(5+ 2√5)] * s²

A = 1/4 * [√5(5+ 2√5)] * 2²

A = 1/4 * [√5(5+ 2√5)] * 4

A = 6.88 unit²

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The equation of your model is y=0.16x use your model to predict how many pieces are in the star wars Lego death star set it costs $499.99

Answers

Answer:

Rounding to the nearest whole number, we predict that the Star Wars Lego Death Star set has approximately 80 pieces. However, it's important to note that this prediction is based solely on the given model and may not necessarily reflect the actual number of pieces in the set.

Step-by-step explanation:

The given equation for the model is y = 0.16x, where y represents the number of pieces in a Lego set and x represents the cost of the set in dollars.

To use this model to predict the number of pieces in the Star Wars Lego Death Star set that costs $499.99, we substitute x = 499.99 into the equation and solve for y:

y = 0.16x

y = 0.16(499.99)

y = 79.9984

Jodi has $4,862.33 in a savings account that will earn 2.99% interest on the principal for
5 years. What is the amount of simple interest that she will earn?

Answers

The amount of simple interest that Jodi will earn is:

I = P*r*t

Where:

P = $4,862.33 (principal)
r = 2.99% (interest rate)
t = 5 years (time)

Plugging in the values, we get:

I = $4,862.33 * 0.0299 * 5
I = $720.31

Therefore, Jodi will earn a simple interest of $720.31.

Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?

Answers

Thus, Taner needs to run only 3 km this week to reach his  run target of 6 km.

Explain about the fractional number:

We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.

Two whole numbers (any fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line). Every whole number may be used as the numerator above the line, whereas the denominator below the line must be distinct from zero.

Given that-

Total run target for Taner is 6 km (including last week and this week)

So,

2 week target for Taner = 6 km

Now,

1 week target for Taner = 6/2 = 3 km

As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.

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You start driving west for 3 miles, turn right, and drive north for another 11 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Formula: a^2 + b^2 = c^2

3^2 + 11^2 = c^2

9 + 121 = c^2

130 = c^2

C = square root of 130 = 11.4 miles

NEED HELP WITH THESE TWO PLEASE

Answers

The values of x and y using trigonometric ratios are: 12) x = 8, y = 4√3 and 14) y = 11√2, x = 11√2

How to use Trigonometric Ratios?

Some of the common trigonometric ratios are:

sin x = opposite/hypotenusecos x = adjacent/hypotenusetan x = adjacent/hypotenuse

Using the above as a guide, we have the following:

12) Let us solve for x and y using trigonometric ratios to get:

4/x = sin 30

4/0.5 = x

x = 8

Similarly:

4/y = tan 30

y = 4/tan 30

y = 4√3

Using the above as a guide, we have the following:

14) Let us solve for x and y using trigonometric ratios to get:

y/22 = sin 45

y = 11√2

Similarly:

x/22 = cos 45

x = 11√2

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The values of x and y using trigonometric ratios are:

12) x = 8, y = 4√3

14) x = 11√2, y = 11√2

How to use Trigonometric Ratios?

The three most common trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = adjacent/hypotenuse

12) We can find x and y using trigonometric ratios as follows:

4/x = sin 30

x = 4/sin 30

x =4/0.5

x = 8

We can solve for y as:

4/y = tan 30

y = 4/tan 30

y = 4(1/√3)

y = 4√3

14) We can find x and y using trigonometric ratios as follows:

y/22 = sin 45

y = 22 * 1/√2

Rationalizing the denominator gives:

y = 11√2

We can find x as:

x/22 = cos 45

x = 22 * 1/√2

Rationalizing the denominator gives:

x = 11√2

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i need help will give brainliest am failing class its due tomorrow

Answers

The length of the second shelf is 98 centimeters.

Let's denote the length of the first shelf as x centimeters. According to the problem, we have the following equations for the lengths of the other shelves:

Second shelf: 2x + 18 cm

Third shelf: x - 12 cm

Fourth shelf: x + 4 cm

Robert must use the entire 2.5-meter board for the shelves, so the sum of the lengths of the four shelves should be equal to 2.5 meters, or 250 centimeters. Thus, we can write an equation:

x + (2x + 18) + (x - 12) + (x + 4) = 250

Simplify the equation:

x + 2x + 18 + x - 12 + x + 4 = 250

Combine like terms:

6x + 10 = 250

Subtract 10 from both sides:

6x = 240

Now, divide by 6:

x = 40

Now that we have the length of the first shelf (x = 40 cm), we can find the length of the second shelf:

Second shelf = 2x + 18 = 2(40) + 18 = 80 + 18 = 98 cm

So, the length of the second shelf is 98 centimeters.

Answer:

114 cm

Step-by-step explanation:

Let's start by finding the shortest shelf.

The second shelf is 18 centimeters longer than twice the length of the first shelf. The first shelf is smaller than the second shelf.

The third shelf is 12 centimeters shorter than the first shelf. The third shelf is shorter than the first shelf, so, the third shelf is the shortest shelf.

Let's call the length of the third shelf s.

We know that the third shelf is 12 centimeters shorter than the first shelf. In other words, s is 12 centimeters shorter than the first shelf. So, we can write the length of the first shelf as:

[tex]s+12[/tex]

We also know that the second shelf is 18 cm longer than twice the length of the first shelf.

Start by multiplying the length of the first shelf by 2.

[tex]2(s+12)=2s+24[/tex]

Now, let's add 18.

[tex]2s+24+18=2s+42[/tex]

So, the length of the second shelf is 2s+42.

The remaining shelf is 4 centimeters longer than the first shelf. Remember that the first shelf is s+12. Let's add 4.

[tex]s+12+4=s+16[/tex]

So, the first shelf is s+12, the second shelf is 2s+42, the third shelf is s, and the remaining shelf is s+16.

When you add them all together, you will get the 2.5 meter board.

2.5 meters is equal to 250 cm.

So, the first shelf plus the second shelf plus the third shelf plus the remaining shelf is equal to the entire board, or 250 cm.

Let's rewrite that in terms of s:

[tex](s+12)+(2s+42)+s+(s+16)=250=\\5s+70=250=\\5s=180=\\s=36[/tex]

We now know that s=36 cm.

The problem asks how long the second shelf is. Recall that the second shelf is 2s+42.

Let's plug in 36 to this expression:

[tex]2s+42=\\2(36)+42=\\72+42=\\114[/tex]

So, the second shelf is equal to 114 cm.

a study is to be made to estimate the percent- age of citizens in a town who favor having their water fluoridated. how large a sample is needed if one wishes to be at least 95% confident that the estimate is within 1% of the true percentage?

Answers

A sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.

To determine the sample size needed for a study to estimate the percentage of citizens in a town who favor water fluoridation with 95% confidence and a margin of error within 1%, you can use the following formula:

Sample Size (n) = ([tex]z^{2}[/tex] * P * (1-P)) / [tex]E^{2}[/tex]

where:
Z = 1.96 (the Z-score corresponding to a 95% confidence level)
P = estimated proportion of the population (use 0.5 if no prior knowledge)
E = margin of error (0.01 for 1%)

Plugging the values into the formula:

n = ([tex]1.96^{2}[/tex] * 0.5 * (1-0.5)) / [tex]0.01^{2}[/tex]
n = (3.8416 * 0.5 * 0.5) / 0.0001
n = 0.9604 / 0.0001
n ≈ 9604

Therefore, a sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.

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the following correlation matrix shows the pearson correlations between various baseball pitching related statistics, of which the number of wins (w) is considered to be a criterion measure of pitching performance by a team. which statistic has an inverse relationship with the number of wins?

Answers

To decide which measurement has a reverse relationship with the number of wins, we ought to seek for a relationship coefficient with negative esteem. A negative correlation coefficient shows that as one variable increments, the other variable tends to diminish.

Without seeing the real relationship framework, we cannot point out the precise statistic that has a reverse relationship with the number of wins. In any case, ready to search for the relationship coefficient that features negative esteem.

For illustration, in the event that we have a relationship network like this:

markdown

| W | Period | WHIP | SO/9 | BB/9 |

----------------------------------------------

W | 1 | -0.7 | -0.6 | 0.5 | -0.3 |

----------------------------------------------

Period | -0.7| 1 | 0.9 | -0.8 | 0.5 |

----------------------------------------------

WHIP | -0.6| 0.9 | 1 | -0.7 | 0.4 |

----------------------------------------------

SO/9 | 0.5| -0.8 | -0.7 | 1 | -0.4 |

----------------------------------------------

BB/9 | -0.3| 0.5 | 0.4 | -0.4 | 1 |

----------------------------------------------

We are able to see that the relationship coefficient between the number of wins (W) and the earned run normal (Time) is -0.7, which indicates a strong negative relationship. This implies that as the Time increments (showing poorer pitching execution), the number of wins tends to diminish. Subsequently, Time has a reverse relationship with the number of wins.

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