A candy comes in assorted colors. In a random sample of 500 pieces of the candy, 110 were red. Using Stat Key or other technology, construct AND INTREPRET a 95% confidence interval estimate for the population proportion of these candies that are red. Fill in the blanks below and also either paste in your technology output, or print it out to submit separately.
Interval:
Interpretation:

Start with the base graph: y = |x|

Translate the graph one unit to the right: y = |x - 1|

---We use a minus/negative/subtraction sign when dealing with horizontal translations because it is the opposite of the way we want to go. If the translation occurs within parenthesis/absolute value bars, we always do the opposite of what we think we should.

Translate the graph one unit down: y = |x - 1| - 1

---If the translation occurs to the y-value/vertically, we use the expected operation/sign. If the translation occurs outside of parenthesis, we use the same operation/sign as the translation (+ for up, - for down).

Answer: y = |x - 1| - 1

Hope this helps!

Answer:

y=|x-1|-1

Step-by-step explanation:

The function for a v shaped graph is an absolute value function: y=|x|

Subtracting 1 from the absolute value y=|x|, we move the graph 1 unit right of the x axis

Subtracting 1 from the whole equation, y=|x-1|, we move the graph 1 unit down the y axis

So, the equation would be y=|x-1|-1

Answer: 4.5

Step-by-step explanation:

Firstly, we need to know the speed of the object in order to calculate the distance it traveled. If we have the speed, we can use the formula distance = speed x time to find the total distance traveled during the 10.0-second time interval.

Secondly, if we don't have the speed, we can use the equation of motion: distance = (initial velocity x time) + (1/2 x acceleration x time squared). This equation takes into account the initial velocity of the object as well as any acceleration that occurred during the time interval.

Lastly, if we have information about the velocity and acceleration of the object, we can use the kinematic equations to find the distance traveled. These equations relate the velocity, acceleration, time, and distance of an object in motion.
In conclusion, to find the total distance traveled by an object during a 10.0-second time interval, we need to know the speed, initial velocity and acceleration of the object. Once we have this information, we can use the formulas and equations mentioned above to calculate the distance traveled.

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The 4-2-1 rule is a guideline used to help determine the amount of water an individual needs to drink each day.

The rule states that an individual should drink 4 liters of water for every 50 pounds of body weight, 2 liters of water for every 50 pounds of body weight if they are exercising, and 1 liter of water for every 50 pounds of body weight if they are in a hot or dry environment.

To calculate how much water you need to drink using the 4-2-1 rule, simply follow these steps:

1. Determine your body weight in pounds.
2. Divide your body weight by 50 to get the number of 50-pound increments in your weight.
3. Multiply the number of 50-pound increments by 4 to get the amount of water you need to drink if you are not exercising or in a hot or dry environment.
4. Multiply the number of 50-pound increments by 2 to get the amount of water you need to drink if you are exercising.
5. Multiply the number of 50-pound increments by 1 to get the amount of water you need to drink if you are in a hot or dry environment.
6. Add the amounts from steps 3, 4, and 5 together to get the total amount of water you need to drink each day.

For example, if you weigh 150 pounds, you would need to drink 4 liters of water for every 50 pounds of body weight (150 / 50 = 3), 2 liters of water for every 50 pounds of body weight if you are exercising (3 x 2 = 6), and 1 liter of water for every 50 pounds of body weight if you are in a hot or dry environment (3 x 1 = 3). Therefore, you would need to drink a total of 13 liters of water each day (4 + 6 + 3 = 13).

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we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

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Answer:

I think its the last one because the problem is not air pollution related

-5 Stars

Answer

The answer is d) sewage being dumped in local rivers.

Step-by-step explanation:

That wouldn't be contributing to air pollution, it would be water pollution.

Answer:

2.7

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

-3+4.5 = 1.5

1.5 - - 1.2 = 1.5 + 1.2 = 2.7

Answer:

y=8x

8x=y

Step-by-step explanation:

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05  

2

1

​  

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x<3.75}.

Step-by-step explanation:

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.

Answer:

isyllus is correct

they can not from a triangle

Step-by-step explanation:

Cross-multiplying, we have:1 x = 20 × 25x = 500Therefore, the actual width of the park is 500 feet, which is option C.

The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft.

If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?

If the scale used is 1 cm: 20 ft, it means that 1 cm on the scale drawing represents 20 feet in the actual park.

Using proportions, the width of the park can be calculated as follows:1 cm : 20 ft = 25 cm : x f

twhere x is the actual width of the park.

because it includes an explanation of how to calculate the actual width of the park using proportions and cross-multiplication.

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Step-by-step explanation:

\(tan = \frac{opposite}{adjacent} \)

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Answer:

im going to say 3 or 2 because 3x2+6

Step-by-step explanation:

\(\frac{1}{10}\) part of movie the Lonna will watch at night.

As per the given data in question:

Watched movie in morning = \(\frac{1}{2}\)

Movie Left to watch = \(\frac{2}{5}\)

Subtraction of fractions: Subtracting fractions include the subtraction of two or more fractions with the same or different denominators.

Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Movie she watch at night = 1 - Watched movie in morning - Movie Left to watch

Movie she watch at night = 1 - \(\frac{1}{2}\) - \(\frac{2}{5}\)

LCM denotes the least common factor or multiple of any two or more given integers.

By taking L.C.M

Movie she watch at night = \(\frac{(10-5-4) }{10}\)

\(=\frac{10-9}{10}\)

Movie she watch at night = \(\frac{1}{10}\) Part

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Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Answer:

No, but my friend's name is amber

Step-by-step explanation:

The y-intercept of the line is (0,7).

Given the pairs of a line in the coordinate plane are (x, y) (-72,25), (-54,13) and (-36,11).

First we will find the slope of the linear equation

The formula for calculating the slope between two points is equal to

m = (y₂-y₁) / (x₂-x₁)

take points (-54,13) and (-36.,11)

by substituting the values ​​in the above formula, we get

m = (11-13) / (- 36 - (- 54))

m = -2 / 18

m = -1 / 9

Now, we will find the equation for the line in point-slope form

y-y₁ = m (x-x₁)

we have m = -1 / 9 and (x₁, y₁) = (- 36.11)

Further, substitute the values ​​in the above equation, we get

y-11 = (- 1/9) (x + 36) ..... (1)

Convert the equation to the form of a slope intercept

y = mx + b

isolate the variable y in equation (1), we get

y-11 = (- x / 9) -4

y = (- x / 9) - 4 + 11

y = (- x / 9) +7

Here, b=7

Hence, the y-intercept of the line for the pairs of lines in the coordinate plane(x,y) is (-72,25), (-54,13) and (-36,11) is the point (0,7).

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The equation of the  straight line passing through (-4,-2) and having slope m = 1 / 2 is y = 1 /2 x. None of the options is correct.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The point through which the line passes is (-4,-2),

And, the slope of line is m = 1 / 2.

The general equation of a straight line passing through a point and having slope m is given as,

y = mx + c

Substitute x = -4, y = -2 and m = 1 / 2 in the above equation to get,

-2 = 1 / 2 × -4 + c

⇒ c = -2 - (-2)

⇒ c = 0

Thus, by substituting c = 0 and m = 1 / 2 in y = mx +c, the equation becomes y = 1 /2 x.

Hence, the equation for the given straight line is y = 1 /2 x.

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Answer:

150 lights

Step-by-step explanation:

2.5 times 6 equals 15 times 10 is 150 their are 150 lights

The amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet. Let us first calculate the perimeter of the garden by adding all the sides together.

The garden is 5 feet by 6 feet, so its perimeter is:2(5) + 2(6) = 10 + 12

= 22 feet

Now, we have to add the walkway's width around the garden to the dimensions of the garden. Since the walkway is 2 feet wide on all sides, we add 4 feet (2 feet on each side) to the width of the garden and 4 feet to its length. Therefore, the new dimensions of the garden, including the walkway, are:

5 + 2 + 2 = 96 + 2 + 2

= 8

So the dimensions of the garden, including the walkway, are 9 feet by 8 feet.Now, we need to calculate the perimeter of the walkway. The perimeter is calculated as follows:

2(9) + 2(8) = 18 + 16

= 34 feet.

The question asks for the amount of fencing required to surround the walkway. Therefore, we subtract the perimeter of the garden from the perimeter of the walkway to obtain the required amount of fencing.

34 - 22 = 12 Therefore, the amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet.

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Sum and difference identities are formulas in trigonometry that allow us to express the trigonometric functions of the sum or difference of two angles in terms of the trigonometric functions of the individual angles.

The sum identities are:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

tan(a + b) = (tan(a) + tan(b)) / (1 - tan(a)tan(b))

The difference identities are:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

tan(a - b) = (tan(a) - tan(b)) / (1 + tan(a)tan(b))

For example, if we want to find the value of sin(45 + 30), we can use the sum identity for sine:

sin(45 + 30) = sin(45)cos(30) + cos(45)sin(30)

We know that sin(45) and cos(30) are both equal to √2/2, and that cos(45) and sin(30) are both equal to 1/2, so we can substitute these values into the formula and simplify:

sin(45 + 30) = (√2/2) x (1/2) + (√2/2) x (1/2)

= (√2 + 1)/2

Therefore, sin(45 + 30) = (√2 + 1)/2.

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Answer:

Correct option: b -> x + 20y

Step-by-step explanation:

From the first 50 kilometers, the price is a flat amount of x, and for the kilometers travelled thereafter, the price is y per kilometer.

If Ratnam travelled 70 kilometers, he needs to pay 'x' because of the first 50 kilometers, and (70 - 50) = 20 times y for the rest of the travel.

So the final price is:

x + 20y

Correct option: b

The correct option is b x + 20y

Given that,

Based on the above information, the equation is as follows:

x + (70 - 50)y

x + 20y

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Answer:

1+B,2+D,3+E,4+C and 5+A

Step-by-step explanation:

(A)161 (B)130 (C)168 (D)150 (E)132

1. 26 x 5=130

This is Option B, therefore we have the match:1+B

2. 25 x 6=150

This is Option D, therefore we have the match:2+D

3. 22 x 6=132

This is Option E, therefore we have the match: 3+E

4. 21 x 8=168

This is Option C, therefore we have the match: 4+C

5. 23 x 7=161

This is Option A, therefore we have the match:5+A

Answer:

8

Step-by-step explanation:

The coefficient of static friction between the coin and the turntable is 0.085.

(a) The centripetal force required to keep the coin moving in a circular path is provided by the force of static friction between the coin and the turntable.

When the coin is stationary relative to the turntable, the centripetal force is equal to the maximum static friction force.

The centripetal force is given by:

\(\(F_c = \frac{mv^2}{r}\)\)

In this case, the coin is stationary relative to the turntable, so the centripetal force is equal to the maximum static friction force:

\(\(F_c = f_{\text{static max}}\)\)

Therefore, we can write:

\(\(f_{\text{static max}} = \frac{mv^2}{r}\)\)

(b) The maximum static friction force can be expressed as:

\(\(f_{\text{static max}} = \mu_{\text{static}} \cdot N\)\)

Where:

\(\(f_{\text{static max}}\)\) is the maximum static friction force,

\(\(\mu_{\text{static}}\)\) is the coefficient of static friction, and

\(\(N\)\) is the normal force.

Since the coin is on a horizontal surface, the normal force \(N\) is equal to the weight of the coin, which is \(mg\), where \(g\) is the acceleration due to gravity.

Setting the equations for the maximum static friction force equal to each other, we have:

\(\(\frac{mv^2}{r} = \mu_{\text{static}} \cdot mg\)\)

Simplifying, we can solve for the coefficient of static friction:

\(\(\mu_{\text{static}} = \frac{v^2}{rg}\)\)

Now substitute

v = 50.0

r = 30.0 cm

g = 9.8 m/s²

Now we can calculate the coefficient of static friction:

\(\(\mu_{\text{static}} = \frac{(0.5 \, \text{m/s})^2}{(0.3 \, \text{m})(9.8 \, \text{m/s}^2)}\)\)

= 0.085

Therefore, the coefficient of static friction between the coin and the turntable is approximately 0.085.

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The question attached here seems to be incomplete, the complete question is:

A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s.

(a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable? (b) What is the coefficient of static friction between coin and turntable?

The function f(x) = 1/x represents the reciprocal function is a type of rational function.

The reciprocal function has the general form f(x) = 1/x, where x is any non-zero real number.

The reciprocal function is characterized by its graph, which is a hyperbola.

The graph of f(x) = 1/x consists of two branches that approach the x-axis and the y-axis as x approaches positive or negative infinity.

The parent function f(x) = 1/x has several key features:

As x approaches positive infinity, the function approaches zero.

This means that the graph gets closer and closer to the x-axis but never touches it.

As x approaches negative infinity, the function also approaches zero, but on the negative side of the x-axis.

The graph is symmetrical with respect to the line y = x.

This means that if you reflect one branch of the hyperbola over the line y = x, you will get the other branch.

The function is undefined at x = 0 since division by zero is not defined.

The reciprocal function and its variations have various applications in mathematics, physics and engineering, especially dealing with inverse relationships or situations where quantities approach zero or infinity.

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