14. (19 pts) Researchers are interested in comparing the distributions of the length of time (in minutes) individuals spend at the drive thru at the bank compared to the drive thru at a fast food rest

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:

Area= side x side

  = 11 x 11 = 121  square unit

Perimeter= 4 x side = 4 x 11 = 44 units

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Answer:

D = (2, 2.25)

Step-by-step explanation:

A rectangle has two pairs of sides of equal length and each side is at 90° to its adjacent sides.

Therefore, two pairs of points will share their x-values, and two pairs of points will share their y-values.

Point B and Point C have the same x-values.

This means that Point A and Point D will have the same x-values.

As the x-value of Point A is 2, then the x-value of point D will also be 2.

Point A and Point B have the same y-values.

This means that Point C and Point D will have the same y-values.

As the y-value of Point  is 2.5, then the y-value of point D will also be 2.5.

Therefore, point D is at (2, 2.5)

Answer:

For people of all races to be able to be together basically.

Step-by-step explanation:

That was just common knowledge if you had a history class.

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Answer: -8

Step-by-step explanation:

= 12 * (-2/3)

= -24/3

= -8

(−8) ⋅ (−2/3) = 1/3a = −5

mass of 1 mole of (−8) ⋅ (−2/3) = 1/3a = −5 = 0g

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer:

\(y = \boxed0\)

Step-by-step explanation:

we are given a sin function

\( \displaystyle h(x) = - 4 \sin(x -\pi /4) \)

we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,

\( \displaystyle f(x) = a \sin(bx -c) + d\)

where the midline is

to figure out the midline rewrite the function

\( \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0\)

therefore the midline is

\(y = \boxed0\)

Answer:

10 feet, option D

Step-by-step explanation:

Got it right on my test.

Answer:

3,15

Step-by-step explanation:

took the test boi

the square root of 16 is 4,then multiply by 7 is 28!

Using the ratio and proportion method, we can set up a proportion between the height of the trail and the rate of building:

height of trail / rate of building = time to complete trail

We know that the height of the trail is 942 feet, and the rate of building is 6 feet per hour. We can substitute these values into the proportion:

942 / 6 = time to complete trail / 1

Simplifying the left side of the equation, we get:

157 = time to complete trail

Therefore, it will take 157 hours to complete the trail.

To understand why this works, we can think of the ratio between the height of the trail and the rate of building as the number of hours it takes to build one foot of the trail. This ratio is:

height of trail / rate of building = 942 / 6 = 157

So for every 157 hours of work, the workers will have built 942 feet of the trail.

In conclusion, using the ratio and proportion method, we can determine that it will take 157 hours to build each foot of the 942-foot tall trail.

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Given function : g(x)=3log(x+7) -8

A function is said to be increasing if the derivative of the function is greater than 0,

and it said to be decreasing tof the derivative of the function is less than 0,

Differentiate the given function with respect to x,

at x >7 , the function g(x) will be decreasing

at x <7 the function g(x) will be increasing.

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It can tell us a lot about the graph of the polynomial, it can mainly tell us whether the graph is in a downward direction or upward direction.

If the leading coefficient is positive, then the graph will start at the origin and will extend upwards, with the degree of the polynomial determining how steep the graph is. If the leading coefficient is negative, then the graph will start at the origin and extend downwards.

If the leading coefficient is 0, then the graph will be a horizontal line. The leading coefficient can also tell us about the end behavior of the graph. If the degree of the polynomial is even, then the end behavior will be a horizontal line. If the degree of the polynomial is odd, then the end behavior will be a vertical line. Knowing the leading coefficient of a polynomial gives us a basic idea of what the graph of the polynomial will look like.

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The cost of spices in US dollars is $5.45

The cost of spices in Indian rupees = 401.39 rupees

The exchange rate is

1 dollar:73.6500 rupees

So we have to exchange the Indian rupees to the US dollars

The cost of spices in Indian rupees = 401.39 rupees

The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500

Substitute the values in the equation and fins the cost of spices in US dollars

The cost of spices in US dollars = 401.39 / 73.6500

Divide the numbers

= $5.45

Hence, the cost of spices in US dollars is $5.45

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The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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Michael is 33 years old and Brandon is 21 years old.

To find the current age of Michael and Brandon, we can use the information given in the problem to set up and solve a system of equations.

Let x be Brandon's current age, and y be Michael's current age.

From the problem, we know the following:

Michael is 12 years older than Brandon: y = x + 12

Seventeen years ago, Michael was 4 times as old as Brandon: y - 17 = 4(x - 17)

We can substitute the first equation into the second equation to eliminate y:

y - 17 = 4(x - 17)

x + 12 - 17 = 4(x - 17)

x - 5 = 4x - 68

3x = 63

x = 21

So, Brandon's current age is 21 years old.

We can use this information to find Michael's current age:

y = x + 12

y = 21 + 12

y = 33

So, Michael's current age is 33 years old.

Simultaneous equations are a set of two or more equations that contain the same variables. These equations must be solved together, or "simultaneously," in order to find the values of the variables. Solving simultaneous equations involves finding values for the variables that will make all the equations true at the same time.

The goal of solving a system of simultaneous equations is to find the values of the variables that satisfy all the equations in the system. The solution of the system of equations is the set of values that satisfy all the equations in the system.

In short, simultaneous equations are a set of two or more equations that contain the same variables. Solving simultaneous equations is to find the values of the variables that satisfy all the equations in the system. There are different methods to solve simultaneous equations such as substitution, elimination, and graphing.

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49 is the amount that would need to be added in order to "complete the square".

Given the quadratic equation below:

x² + 14x + 3=0

In order to complete the square, we will add the square of the half of the coefficient of x to both sides.

Coefficient of x = 14

Half of coefficient of x = 14/2 = 7

Square of the half of coefficient of x = 7²

Square of the half of coefficient of x = 49

Hence the number that would have to be added to "complete the square" is 49.

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The critical value t for the given parameters is approximately 1.753.

To determine the critical value t for a 85% confidence interval with degrees of freedom (df) equal to 15, we can use a t-distribution table or a statistical software.

The critical value t depends on the desired confidence level and the degrees of freedom. In this case, with a confidence level of 85% and 15 degrees of freedom, we need to find the value from the t-distribution table.

Consulting a t-distribution table or using statistical software, the critical value t for a 85% confidence interval with 15 degrees of freedom is approximately 1.753 (rounded to three decimal places).

Therefore, the critical value t for the given parameters is approximately 1.753.

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Determine the critical value t for a 85% confidence interval with df=15.

The critical value t is: _____

(Provide your answer with 3 decimal places)

The answer of the given question is  the radius of the cylinders is approximately 1 unit, based on the chosen point on the graph.

Radius is a fundamental geometric property of a circle, which is defined as the distance from the center of the circle to any point on the circle's circumference. It is a one-dimensional measurement and is usually denoted by the symbol "r". The radius is defined similarly as the distance from the center of the shape to its outer boundary.

The radius is an important parameter in many mathematical equations and formulas that involve circles or three-dimensional shapes, like calculating the area or volume of a circle, cylinder, or sphere.

To find the radius of the cylinders given the equation V = πR²h, we can rearrange the equation to solve for R. We know that the radius is constant for all cylinders in the graph, so we can use any point on the graph to find its value.

Let's choose a point on the graph where the height is h=1 and the volume is V=3.14 (using 3.14 as an approximation for π):

V = πR²h

3.14 = πR²(1)

3.14/π = R²

R = √(3.14/π)

R ≈ 1.0

So the radius of the cylinders is approximately 1 unit, based on the chosen point on the graph.

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Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =πR²h (use 3.14.as an approximation for π). What is the radius of these cylinders?​

Using Combination,

Total 12 possible subsets containing three different numbers can be selected from the set {89, 95, 99, 132, 166, 173} so that the sum of the three numbers is even.

We have given a set say S which contains 6 elements, S = {89, 95, 99, 132, 166, 173}

we want to select three numbers from S such that sum of these is even .

To have an even sum with three numbers, we must add either E+O+O, or E + E + E

where O ---> an odd number

E ---> an even number.

Since there are not three even numbers in the given set, case E+E+E is not possible. Thus, we must choose two odd numbers, and one even number.

There are 2 choices for the even number.

There are 4 choices for the first odd number. There are 3 choices for the last odd number. But the order in which we pick these 2 numbers doesn't matter, so this overcounts the pairs of odd numbers by a factor of 2. Thus, we have ⁴C₂ = 4×3/2 = 6 choices for a pair of odd numbers.

In total, there are 2 choices for an even number, and 6 choices for the odd numbers,

Hence, the total of 2×6 = 12 possible choices for a 3-element set that has an even sum.

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Using the binomial distribution, it is found that there is a 0.985 = 98.5% probability that you will need to "walk" a guest tonight.

For each guest, there are only two possible outcomes, either they arrive, or they do not. The probability of a guest arriving is independent of any other guest, hence, the binomial distribution is used to solve this question.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

If at least one shows up, you will need to "walk" a guest tonight, hence the probability is:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015\)

Then:

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.015 = 0.985\)

0.985 = 98.5% probability that you will need to "walk" a guest tonight.

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Answer    

b

Step-by-step explanation:

yeah

Answer:

ok go on a site called math.way it will really help you

Step-by-step explanation:

Answer:

yeah i believe thats the right answer thats what i got anyways

Step-by-step explanation:

good job!

Answer:

You are correct

Step-by-step explanation:

Good job and hope this helps

Answer:

36x ^5 y^2 + xyz

Step-by-step explanation:

simplify further by factoring out xy from the equation to get

xy(36x^4 y+z)

Answer:i think the answer d

Step-by-step explanation:

Answer:

2nd option is the correct answer.

\( \frac{6x - 1}{9x - 3} \)

Step-by-step explanation:

\( \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} \)

Answer:

x=6

Step-by-step explanation:

The triangle is an equilateral triangle since all angles are 60 degrees

That means all sides are equal

3x-13 = x-1

Subtract x from each side

3x-13-x = x-1-x

2x-13 =-1

Add 13 to each side

2x= -1+13

2x = 12

Divide by 2

2x/2 =12/2

x = 6

Answer:

B. 6

Step-by-step explanation:

Two angles are 60 degrees, the other is also 60 degrees.

The triangle is an equilateral triangle.

All sides are equal.

3x - 13 = x - 1

3x - x = -1 + 13

2x = 12

x = 6

Answer:

baguette

Step-by-step explanation:

Step-by-step explanation:

really..... Nice. .......

the value today of the money machine is approximately $29,499.48.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

PV is the present value

C is the cash flow per period

r is the interest rate per period

n is the number of periods

Cash flow per year (C) = $4,161.00

Number of years (n) = 23.00

Interest rate (r) = 15.00%

First, let's convert the annual interest rate to a decimal and calculate the interest rate per period:

r = 15.00% / 100 = 0.15

PV = $4,161.00 * (1 - (1 + 0.15)^(-23)) / 0.15

Using a calculator, we find that the present value (PV) is approximately $29,499.48.

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If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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