The point (2, 18) is an ordered pair in a proportional relationship. What equations represents this relationship?


y = 1/9x

y = 18x

y = 9x

y = 2x

An important application of the chi-square distribution is testing for goodness of fit and testing for the independence of two variables The correct answer is c. both of the above.

The chi-square distribution is a probability distribution that is used in statistics for hypothesis testing and confidence interval estimation. Two important applications of the chi-square distribution are testing for goodness of fit and testing for the independence of two variables.

Testing for goodness of fit involves comparing observed data to expected data, and determining whether the differences between the observed and expected data are statistically significant. The chi-square distribution is used to calculate a test statistic, which measures the degree of divergence between the observed and expected data.

Testing for the independence of two variables involves examining whether there is a relationship between two categorical variables. The chi-square distribution is used to calculate a test statistic that measures the degree of dependence or independence between the two variables. If the test statistic is large enough, it indicates that there is a significant relationship between the two variables.

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Answer:

1 point

Step-by-step explanation:

Answer:

=35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

remove parentheses, then solve

36 - (-4) + 5+ (-10) =

36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.

35

hope this helps

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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Answer:1/2?

atleast that what i thought it was

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

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Based on the average total cost to the monopolistically competitive firm and the revenue, the loss they are expecting is -$400

The losses that the monopolistically competitive firm would be the difference between their revenue from the 20 units and their average total cost.

Solving for the loss to the monopolistically competitive firm gives:

= (Average total cost - Price) x number of units

= (70 - 50) x 20

= -$400

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Answer:

(d) All of the above

Step-by-step explanation:

In order to solve this question we will have to find out which numbers are located in which group (the group of numbers are U, B, B').

So lets start of with finding out what numbers are a part of group U. By looking at that picture we can see that all number on the graph are a part of group U. So.....

U = {0,1,2,3,4,5,6,7,8,9}

Then we can find out what numbers are part of the group B. We just have to include the numbers that are located within the circle and exclude all of the numbers out side of the circle. So........

B = {0,1,4,5,6,7,8}

We find numbers that are parts of group B' by using a similar method that we used to find out what numbers were part of group B (Just this time we include all numbers outside of the circle and exclude all of the numbers inside the circle). So ......

B' = {2,3,9}

Now we see that the right option is option d.

Answer:

0,10

9,7

10,6

3,10

7,8

1,4

10,8

0,3

0,5

7,6

Step-by-step explanation:

Answer:

BD/DA = CE/EA

Step-by-step explanation:

It's (B)

BD/DA = CE/EA

............

Answer:

Below.

Step-by-step explanation:

2 + 3 + 4 = 9 so

the smallest side = 2/9 * 45, the next = 3/9 * 45 and the longest = 4/9 *45.

= 10, 15 and 20 cm.

Answer:

42/6 = 7 Minutes

Step-by-step explanation:

Skew lines are the lines that are neither parallel nor intersecting.

The above statement is not possible for coplanar lines so it can be concluded that skew lines are non coplanar.

Hence the statement Lines that do not intersect and are not in the same plane which is option D justifies the definition of skew lines.

Hence option D is correct.

Answer:

what percent of interest does Jerry have?

Let f(x,y) = 144. The set of points where f is continuous is A. Whole of R², since f(x,y) is a constant function and constant functions are continuous everywhere.

The set of points where f is continuous is A. Whole of R². This is because f(x,y) is a constant function, meaning it is continuous at every point in the plane. There are no points of discontinuity, including (0,0), as the value of f is the same everywhere. Therefore, option B is incorrect. Additionally, options C and D are also incorrect as they only include points on one of the axes, while f is continuous everywhere in the plane.

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Answer:

9

Each value is 3 times the number on the ratio.

10 x 3 = 30.

So, the ratio for oranges would be 9 because:

3 x 3 = 9.

So, the answer is 9.

The hospital must cut the number of overtime hours by approximately 2.91% in order to stay within budget.

To determine the required percentage reduction in overtime hours, we need to consider the impact of the nurses' hourly rate increase and the limited budget increase for overtime wages.

Let's assume the current budget for nurses' overtime wages is denoted by B, and the total number of overtime hours worked is denoted by H. The current overtime rate per hour is R.

With the 5% hourly rate increase, the new overtime rate per hour becomes 1.05R. Considering the limited budget increase of 3%, the new budget for overtime wages is 1.03B.

To calculate the required percentage reduction in overtime hours, we can set up the following equation:

(1.05R) * (1 - x) * H = 1.03B

where x represents the required percentage reduction in overtime hours.

Simplifying the equation, we have:

(1 - x) * H = (1.03B) / (1.05R)

Now, let's solve for x:

1 - x = (1.03B) / (1.05R * H)

x = 1 - [(1.03B) / (1.05R * H)]

Here, we can see that the required percentage reduction in overtime hours, represented by x, depends on the values of B, R, and H.

It's important to note that without knowing the specific values of B, R, and H, we cannot calculate the exact percentage reduction. However, based on the provided information, we can determine the maximum percentage reduction that the hospital must make to stay within budget.

By assuming that B, R, and H are constant, we can use the given constraints to calculate an approximate percentage reduction. Based on the constraints of a 3% budget increase and a 5% hourly rate increase, the hospital would need to reduce the number of overtime hours by approximately 2.91% to maintain a balanced budget.

Please keep in mind that this approximation may vary depending on the specific values of B, R, and H.

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The mean height of the students in the class is 168.06 cm. The median height is 167.5 cm, and the modal height is in the range of 166-169 cm.

To find the mean, median, and modal height of the students in the class, we can use the given distribution of heights.

The distribution of heights and the corresponding number of students are as follows:

Height (in cm) No. of students

160-163 15

163-166 118

166-169 142

169-172 127

172-175 18

Mean:

To find the mean height, we can calculate the weighted average using the midpoint of each height range and the number of students in each range.

Mean = (15 * 161.5 + 118 * 164.5 + 142 * 167.5 + 127 * 170.5 + 18 * 173.5) / (15 + 118 + 142 + 127 + 18)

Mean = 168.06 cm

Median:

The median is the middle value of the data when arranged in ascending order. Since the distribution is already provided, we can determine the median by finding the midpoint of the total number of students.

Total number of students = 15 + 118 + 142 + 127 + 18 = 420

Median position = (420 + 1) / 2 = 210.5

The median falls within the 166-169 cm height range. Therefore, the median height is 167.5 cm.

Modal height:

The modal height is the height value that appears most frequently in the data. In this case, the height range with the highest number of students is the modal height. According to the data, the 166-169 cm height range has the highest frequency, with 142 students.

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The question is concerned with the merry-go-round that revolves two times in one minute, and the distance of Jack and Bob from its center. It's important to know how to calculate the circumference of a circle, which is 2πr, where "r" is the radius of the circle and "π" is a constant value approximately equal to 3.14, but you can also use your calculator for accurate results.

Let's first find the distance that Jack travels in one minute.

Since the merry-go-round revolves 2 times in one minute and Jack is 10 feet from the center, Jack will travel a distance equal to the circumference of a circle with a radius of 10 feet twice in one minute.

Therefore, the distance Jack travels in one minute is given by; Distance = 2(πr) = 2(π)(10) ≈ 62.8 feet.

Next, let's find the distance Bob travels in one minute.

Since the merry-go-round revolves 2 times in one minute and Bob is 14 feet from the center, Bob will travel a distance equal to the circumference of a circle with a radius of 14 feet twice in one minute.

Therefore, the distance Bob travels in one minute is given by;

Distance = 2(πr) = 2(π)(14) ≈ 87.92 feet.

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Answer:

2160

Step-by-step explanation:

45x4800

divide that by 100!

Answer:

42 Square feet

Step-by-step explanation:

A=(1/2)bh

A=(1/2)(14)(6)

A=42

Maximum rate of change of function is 1.0268.

What is function?

In arithmetic, a function from a collection X to a collection Y assigns to every part of X precisely one part of Y.

Main body:

f(x,y,z)=x+y/z

∇f(x,y,z)=∂f/∂x x^+∂f/∂y y^+∂f/∂z z^

∂f/∂x=∂/∂x(x+y/z)=1=constant

∂f/dy=∂/∂y(x+y/z)=1/z

∂f/∂z(x+y/z)=y∂/∂z(1/z)=−yz^−2

∇f(x,y,z) = ∂f/∂x x^+∂f/∂y y^+∂f/∂z z^=x^+1/zy^−yz^−2

The maximum rate of change is the magnitude of the gradient at (5,−3,5).

∇f(5,−3,5)=x^+1/5y^−(−3)(5)−2=x^+1/5y^+3/25z^

So at (5,3,5):

|∇f(5,−3,5)|= \(\sqrt{1+ 5^{-2} +(-3^{2} )(5^{-4}) }\)

=\(\sqrt{1+ \frac{1}{25}+\frac{9}{25*25} }\)

= (1/25)√659

≈ 1.0268

|∇f(5,−3,5)|= (1/25)√659 ≈ 1.0268

the direction of the maximum rate of increase it the direction of the gradient.

∇f(5,−3,5)/|∇f(5,−3,5)| =

= \(\frac{25x^}{\sqrt{659} }\)+\(\frac{5y^}{\sqrt{659} }\)+ \(\frac{3z^}{\sqrt{659} }\)  

= \(\frac{1}{\sqrt{659} }\)(25x +5y+3z)

=\(\frac{1}{\sqrt{659} }\)(25,5,3)

Hence maximum rate of change of function is found out.

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Answer:

I'll give you some clues in the solution. Please read them so you can do the rest faster.

Solution:

First thing you do is write the vertex. The vertex is basically the last number in the absolute value bars and the number outside of them (to the right of the bars). The vertex is the opposite of the last number in the absolute value brackets and if there is no number to the right, assume it is 0.

We start at (2,0).

The domain is 99% of the time all real numbers. Write that for domain.

The range is the y value where things start to increase (the y value of the vertex). The range is 0.

The type of function is absolute value function btw

Answer:

50mph

Step-by-step explanation:

Speed (v) is equal to distance (d) divided by time (t)

so we have the formula \(v=\frac{d}{t}\)

Adrian needs to be at his grandmother's house in 3 hours so \(t=3\)

His grandmother's house is 150 miles away so \(d=150\)

now we can plug these values into our formula and we get \(v=\frac{150}{3}\)

\(\frac{150}{3} =50\)

So, Adrian needs to drive at 50 miles per hour to get to his grandmother's house in three hours.

la probabilidad de que Antawn Jamison anote sus siguientes 9 tiros libres es del 7.33%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

La probabilidad de que anote un tiro libre es del 73%, lo que significa que la probabilidad de que falle es del 27%.

La probabilidad de que anote sus próximos 9 tiros libres es:

0.73 x 0.73 x 0.73 x 0.73 x 0.73 x 0.73 x 0.73 x 0.73 x 0.73 = 0.0733

Por lo tanto, la probabilidad de que Antawn Jamison anote sus siguientes 9 tiros libres es del 7.33%.

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Answer: it’s says the equation is solved here’s the graph

Step-by-step explanation:

Triangle EFG was transformed to create triangle E'F'G' with identical side lengths and angle measures, and the second triangle is rotated to the right. the transformation is a c. rotation. Therefore, option c. rotation is correct.

Rotation is the change that took place. A figure is transformed by a rotation in which the centre of rotation is moved from one side to the other. Triangle EFG was in this instance rotated to the right, or around a point to the left of the triangle.

The two triangles are said to be congruent if their side lengths and angle measurements are the same. As a result, they are capable of being changed into one another by a series of translations, rotations, and reflections.

A transformation known as a translation involves moving a figure while maintaining its original size and shape. Stretching is a transformation that increases a figure's size while maintaining its shape. A transformation that flips a figure over a line is called a reflection.

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Answer: c. rotation is correct.

Step-by-step explanation: