what is the best approximation for the area of this circle? use 3.14 to approximate pi.

It would cost $1804.86 to buy concrete for repavement of the driveway if 1 cubic yard of concrete costs $130 .

Given,

Width of driveway = 30 ft = [tex]\frac{30}{3}[/tex] = 10 yard

Length of driveway  = 50ft = [tex]\frac{50}{3}[/tex] = 16.667 yard

As the driveway is repaved by pouring concrete then it's height will increase

Height of driveway = 3 inch = [tex]\frac{3}{36}[/tex] = 0.0833 yard

Volume of driveway = length x breadth x height

Volume of driveway = 10 x 16.667 x 0.0833

Volume of driveway = 13.8836 cubic yard

Cost of 1 cubic yard of concrete = $130.00

then cost of 13.8836 cubic yards of concrete  will be

130.00 x 13.8836 = $1804.86

Thus, the cost of concrete will be $1804.86.

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Answer:

16

Step-by-step explanation:

there are four of them and four spaces, so you would do 4x4. 4x4= 16

Answer:

Step-by-step explanation:

Step 1: You have the slope so its already y=-4x+b. So you need to find the y intercept.

To find the y intercept, you need to plug the coordinates in. So 2=-4(-3)+b. Then you solve the equation from there.  

Hope this helps!

1.46% probability that fewer than 700 children received their vaccine.

What is probability?

The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.

Here, we have

95% of children have received their DTaP vaccine p = 0.95

Sample of 750, n = 750

For the approximation, the mean and the standard deviation are given by:

u = np = 750×0.95 = 712.5

σ = [tex]\sqrt{np(1-p)}[/tex]

σ = [tex]\sqrt{750(0.95)(0.05)}[/tex]

σ = 5.97

Using continuity correction, the probability that fewer than 700 children received their vaccine is P(X < 700 - 0.5) = P(X < 699.5), which is the p-value of Z when X = 669.5.

Z = X-u/σ

Z = 669.5 - 712.5/5.97

Z = - 2.18

The p-value of Z = - 2.18 is 0.0146.

Hence, 1.46% probability that fewer than 700 children received their vaccine.

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The pre-image and image have the same shape after dilatation, but they are not the same size.

In the given question, we have to explain what is true about an image after a dilation.

The pre-image and image have the same shape after dilatation, but they are not the same size.

The figure is the same from every perspective. The midpoints of the figure's sides and the dilated shape's midpoint are both unchanged. Lines that are parallel and perpendicular to one another in the figure are identical to those in the dilated figure. The pictures stay the same.

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⇒The first step let us find the lowest common denominator to get r of the fraction.

⇒In this case the lowest denominator is 3,meaning3 will multiply all the terms in the equation

⇒[tex]-14(3)=-\frac{4}{3} a(3)\\-42=-4a[/tex]

⇒ Divide all the terms of the equation with the coefficient of the unknown variable to leave it independent.

⇒We are going to divide all the terms of the equation on this case by -4 since it tis the coefficient of the unknown variable

[tex]-\frac{42}{-4} =-\frac{4a}{-4} \\a=10.5[/tex]

∴a=10.5

The approximate percentage of daily phone calls numbering between 37 and 47 is of:

68%.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

The mean and the standard deviation in this problem are given as follows:

Hence the percentage is of 68%, as these measures are within one standard deviation of the mean.

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Answer:

Below

Step-by-step explanation:

4 minutes = 4  x 60 = 240 seconds

240 seconds / 15 q   = 16 s/q

Applying the trend in the table the population in 2023 is predicted to be

Exponential function  is a type of function that are of 3 main parts

Considering the given problem,  f(x) = 80(b)^x

the starting = 80

the base = b

the exponents = x

f(x) = 80(b)^x using the table again

132 = 80b

b = 132/80

b = 1.65

after 2023 the exponents will be

x = 2023 - 2016

x = 7

The predicted population

= 80(b)^x

= 80(1.65)^7

= 2898

the predicted population is 2898

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according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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The required length of one of the longest sides is 29 in the given pentagon.

The pentagon has 3 sides of length (2x - 1) and 2 sides of length (x + 5) and the perimeter of the pentagon is 127.

We know that the perimeter of the pentagon is the total length of all its sides, so we can set up the following equation:

3(2x - 1) + 2(x + 5) = 127

Apply the distributive property of multiplication,

6x - 3 + 2x + 10 = 127

Combine the likewise terms of the equation,

8x + 7 = 127

Finally, we can solve the equation by subtracting 7 from both sides and dividing both sides by 8:

8x = 120

x = 15

Therefore, the length of one of the longest sides is (2 × 15 - 1) = 29.

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The standard deviation of the quantitative variable of interest in the population is called the. Population Standard Deviation.

"Information available from the question"

In the question:

The mean of the quantitative variable of interest in the population is called the

Now, According to the question:

Let's know:

Sample Mean:

A sample mean is an average of a set of data . The sample mean can be used to calculate the central tendency, standard deviation and the variance of a data set. The sample mean can be applied to a variety of uses, including calculating population averages.

The mean of the quantitative variable of interest in the sample is called the. Sample Mean. The standard deviation of the quantitative variable of interest in the population is called the. Population Standard Deviation.

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The estimated population is 114.74 microorganisms after three hours.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases with time.

a type of growth when the values' logarithms rise linearly with time. This indicates that the value increases faster than it would with linear development. A population that increases by 10% of its value each unit of time would be an example of exponential growth.

let A(f) = number of bacterial 'I' now. in

A(t) = Ao × e^kt

= 71 × e^(0.16XA)

For t = 3 hours

A(t) = 71 × e^(0.16×3)

= 114.74 bacteria

Complete question:

The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 16% per hour. Suppose that a sample culture has an initial population of 71 bacteria. Find the predicted population after three hours Do not round any intermediate computations, and round your answer to the nearest tenth bacteria

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Answer:

? = 5

Step-by-step explanation:

There are no like terms to 5, so it stays the same

The linear function that represents the graph of that has the points on the table is: A. .f(x) = 32(3x - 1).

If a point is on a graph of a linear function, its coordinates will make the equation of the linear function true, if plugged into the equation.

Given the table that represents some of the points that are on a linear function graph, use one point, (1, 64), to check which of the functions represents the table.

Substitute x = 1 and .f(x) = 64 into each of the functions given to see which is true:

.f(x) = 32(3x - 1)

64 = 32(3(1) - 1)

64 = 32(3 - 1)

64 = 32(2)

64 = 64 [true]

.f(x) = -32(x - 3)

64 = -32(1 - 3)

64 = 64 [true], however, if we use another set of values, say (5, 448), this function will not be true.

.f(x) = -2(32x - 3)

6 = -2(32(1) - 3)

6 = -2(29)

64 = -58 [not true]

.f(x) = 16(2x - 1)

64 = 16(2(1) - 1)

64 = 16(1)

64 = 16 [not true]

Therefore, the function that represents the table is: A. .f(x) = 32(3x - 1).

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Answer: y=833.333⇒

Step-by-step explanation:

y=[tex]\frac{3250*40} {40}[/tex]=833.333>

The distance of the [x] - coordinate between the endpoints → R(-3,-3) and S(5,2), that is equal to 3/4 of RS is 7.08 units away.

        [tex]$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

       [d] = distance

        (x₁, y₁) = coordinates of the first point

        (x₂, y₂) = coordinates of the second point

Given is that a line segment has endpoints R (-3,-3) and S (5,2).

Using the distance formula -

RS² = (2 + 3)² + (5 + 3)²

RS² = (5 x 5) + (8 x 8)

RS² = 25 + 64

RS² = 89

RS = √(89)

RS = 9.44

Now, 3/4 of RS will be -

{3/4} x 9.44

7.08

Therefore, the distance equivalent to 3/4 of RS is 7.08 units away.

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Answer: To solve for an area of something, we must first multiply the length by the width, something that is 5 inches long and 2 inches wide has an area of 10 square inches. It's basically multiplying the numbers together in order to find the amount of area it has.

Step-by-step explanation:

No, they cannot form the vertices of a right triangle. The points must be three distinct points and all three must be located in different quadrants.

No, they cannot form the vertices of a right triangle. A right triangle is a three-sided polygon with one 90 degree angle. To form a right triangle, the three points must be three distinct points in different quadrants. In this case, the points (-4 3) and (-1 1) are both in the same quadrant. Additionally, 1/3 is not a point, but a fraction.

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Answer: -1

Step-by-step explanation: Plug 1 in as x. You get h(1)=-3(1)+2. If you solve this, it is h(1)=-3+2, or h(1)=-1

Answer:

[tex] \sf \: h(1) = - 1[/tex]

Step-by-step explanation:

Given equation,

→ h(x) = -3x + 2

Now the value of h(1) will be,

→ h(x) = -3x + 2

→ h(1) = -3(1) + 2

→ h(1) = -3 + 2

→ [ h(1) = -1 ]

Hence, the value of h(1) is -1.

y = -5x – 13 equation is the equation of a line that passes through (- 10 3 and is perpendicular to Y 5x 7 with slope

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line that passes through (-10, 3) and is perpendicular to y = 5x + 7, we need to find m, the slope of the line.

We can find the slope of the line by using the point-slope form of a line, which is y - y1 = m(x - x1). In this equation, m is the slope, (x1, y1) is a given point on the line, and (x, y) are the coordinates of any point on the line.

Plugging in the given point of (-10, 3) and the line y = 5x + 7 into this equation, we get:

3 - 3 = m(-10 - -10)

The left side of this equation is 0, so the right side must also be 0. That means that m = 0.

Now that we have the slope of the line, we can plug it into the equation of a line, y = mx + b, to get the equation of the line:

y = 0x + b

Next, we need to find the y-intercept, b. To do this, we can use the given point (-10, 3). Plugging this in to the equation above, we get:

3 = 0x + b

Simplifying, we get:

b = 3

Now that we have the slope and y-intercept, we can write the equation of the line in slope-intercept form:

y = 0x + 3

Finally, we can simplify this equation to get the final answer:

y = -5x – 13

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Its means that the addition of natural numbers obeys the closure property.

In mathematics, the closure property is a property that states that if a set is combined with all its limit points, then the combined set is also a limit point. The closure property applies to sets of real numbers, vectors, and matrices. It states that the closure of a set is itself, i.e., the set is closed under the given operation. The phrase "closed under addition" means that when two natural numbers are added together, the result is also a natural number. In other words, natural numbers are part of a closed system concerning addition; the addition operation always produces another natural number.

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The correct option is a survey based on multidimensional scaling”.

What is multidimensional scaling?

Using multidimensional scaling (MDS), it is possible to see how similar the individual examples in a dataset are to one another. The pairwise "distances" between a group of items or people are translated using MDS into a configuration of points that are mapped onto an abstract Cartesian space.

Companies utilize multidimensional scaling (MDS) as a technique to visualize the degree of similarity between diverse goods or datasets.

Since the study asks participants to rate how similar two brands are. Consequently, it is regarded as multidimensional scaling (MDS).

Hence the correct option is a survey based on multidimensional scaling”.

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Complete Question
You are a customer taking a survey. It lists two brands and asks you to rate how similar they are. What type of survey are you taking?

A. a focus group application survey
B. a survey based on multidimensional scaling
C. a survey based on attributes
D. a conjoint analysis survey.

By using trigonometry, it can be concluded that

sin 60° = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{\sqrt{3}}{2}[/tex]

cos 60° = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{1}{2}[/tex]

tan 60° = [tex]\frac{BC}{AC}[/tex] = [tex]\sqrt{3}[/tex]

cot 60° = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{1}{\sqrt{3}}[/tex]

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are

[tex]sin \theta, cos \theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]

[tex]sin\theta = \frac{perpendicular}{hypotenuse}[/tex]

[tex]cos\theta = \frac{base}{hypotenuse}[/tex]

[tex]tan\theta = \frac{perpendicular}{base}[/tex]

[tex]cot\theta = \frac{base}{perpendicular}[/tex]

[tex]sec\theta = \frac{hypotenuse}{base}[/tex]

[tex]cosec\theta = \frac{hypotenuse}{perpendicular}[/tex]

Trigonometry is a very important tool in mathematics.

Here, [tex]\Delta ACB[/tex] is a right angled triangle whose base is AC, Perpendicular is BC and hypotenuse is AB

By using Trigonometry,

sin 60° = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{\sqrt{3}}{2}[/tex]

cos 60° = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{1}{2}[/tex]

tan 60° = [tex]\frac{BC}{AC}[/tex] = [tex]\sqrt{3}[/tex]

cot 60° = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{1}{\sqrt{3}}[/tex]

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The diagram that models the ratio in the story is circled on the image given at the end of the answer.

If the students used 12 rolls of blue streamers, the number of rolls of yellow streamers that the students used was of:

8 rolls.

A ratio between two amounts a and b is given by the division of the amount a by the amount b.

The group used 3 rolls of blue paper streamers for every 2 rolls of yellow paper streamers, hence the ratio is given as follows:

blue streamers/yellow streamers = 3/2.

If the students used 12 rolls of blue streamers, the amount of yellow streamers is found applying the proportion as follows:

12/x = 3/2.

Applying cross multiplication, we have that:

3x = 2 x 12

3x = 24

x = 24/3

x = 8 rolls of yellow streamers.

The problem is given by the image shown at the end of the answer.

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After solving the system of equation we will get

x = 5y/2 +1  

y = 2/5- 2x/5

First equation is written

−2x+5y=−2

Subtract 5y from both sides.

−2x =−2−5y

The equation is in standard form.

−2x=−5y−2

Divide both sides by −2.

-2x/-2 = -5y-2/ -2

Dividing by −2 undoes the multiplication by −2.

x= −5y-2/-2

​Divide  −2−5y  by −2.

so

x= 5y/2 + 1

Now the second equation is

4x−10y=4

Add 4x to both sides

-10y = 4-4x

The equation is in standard form.

Divide both sides by 10

-10y/10= 4-4x/10

Dividing by 10 undoes the multiplication by 10.

y= 4-4x/10

Divide 4-4x by 10.

so

y= 2/5- 2x/5

​

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a) The average cost of the promotion is $0.01 per tire.

b) The probability that Greer will refund more than $25 for a tire is 0.9

According to the Question:

Greer Tire Company has:

Lifetime mileage = 33500

Standard Deviation = 3500 miles

a)

Meal lifetime mileage : $33,500

Standard deviation of mileage $3,500

Observed miles 30,000 miles

100 miles failed $1.00

Hence :

The average cost of the promotion:

= (33,500 – 30,000) / 3500

= 3500 /3500

= 1

Therefore,

Cost of production

100 miles = $1.00

= 1 * 1 / 100

= $0.01 per tire

b)

 P (z < 25000 -33500/ 3500

= P (z < -8500/ 3500)

= z < -2.4

Hence:

= 1 - 0.1

= 0.9

Therefore, the Probability that gear will refund more than $25.00 per tire is: 0.9

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The function that represents the graph will be y = 1 - 2x in interval (∞, 2], y = -3 in interval [2, 3), y = -2 at x = 3, and y = 2(x - 4)² - 2 in interval (3, ∞).

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

From the graph, the equation of the line that passes through (0, 1) and (2, -3) is given as,

(y - 1) = [(1 + 3) / (0 - 2)](x - 0)

y - 1 = -2x

y = 1 - 2x, (∞, 2]

In intervals [2, 3), the equation is

y = - 3

At x = 3, the value of y is -1.

The vertex of the parabola is at (4, -2). Then the parabolic function is given as,

y = a(x - 4)² - 2

The equation is passing through (0, 5), then we have

0 = a(5 - 4)² - 2

2 = a

The function is y = 1 - 2x in interval (∞, 2], y = -3 in interval [2, 3), y = -2 at x = 3, and y = 2(x - 4)² - 2 in interval (3, ∞).

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Answer:

721.1 grams.

Step-by-step explanation:

To determine the mass of the sample on the 8th day of the experiment, you can use the formula for compound interest, which is given by the following equation:

A = P(1 + r/n)^nt

where A is the final amount of the substance, P is the initial amount, r is the rate of decay, n is the number of time periods, and t is the number of time periods elapsed. In this case, the initial amount of the substance is 1400 grams, the rate of decay is 12%, and the number of time periods is 1 day. Therefore, the mass of the substance on the 8th day can be calculated as follows:

A = 1400(1 + 0.12/1)^(1*8) = 721.1 grams

Therefore, the mass of the radioactive sample at the beginning of the 8th day of the experiment is 721.1 grams.

Answer:

1 and 5

Step-by-step explanation:

first category and fifth one up