A city planner randomly selects 50 adults who live in the city, 50 adults who live in a rural community, and 50 adults who live in the suburbs. Each person is asked about how long they drive to work. The results are displayed in the tables.

Observed counts:



Expected counts:



The city planner would like to know if there is a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs, so she decides to test these hypotheses:

H0: There is no difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
Ha: There is a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.

The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test?

χ‑2 = 7.47, df = 4
χ‑2 = 7.47, df = 8
χ‑2 = 55.86, df = 4
χ‑2 = 55.86, df = 8

thats the answer just look at the picture :)

for the work

The grocer makes a total of 31 packs of 6 baking potatoes, with the remaining amount of 9 potatoes left over.

To solve this problem, the first step is to subtract the number of individual potatoes (75) from the total number of baking potatoes (189). This leaves us with 114 baking potatoes. Next, we must divide the remaining amount potatoes (114) by the number of potatoes in a pack (6). The answer to this is 19, with a remainder of 4. The grocer can make 19 packs of 6 potatoes and has 4 potatoes left over. Finally, we must add the number of packs made (19) to the number of individual potatoes (75) to get the total number of packs (19+75=94). This means that the grocer makes a total of 31 packs of 6 baking potatoes, with the remaining 9 potatoes left over.

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The complete question: A grocer ha 189 baking potatoe. The grocer put 75 baking potatoes out individually and bags the rest of the potatoes into pack of 6. How many pack of 6 does the grocer make?

Answer:

I think it should be scalene

Step-by-step explanation:

It depends on how you map each lengths to form a triangle

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

\(ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } \)

\( = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} \)

\( = \sqrt{65} = 8.1\)

\(ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } \)

\(= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} \)

\( = \sqrt{61} = 7.8\)

Answer:

12

Step-by-step explanation:

So 4:5:6 = 45

4+5+6 = 15

45/15 = 3

Since 4 is the smallest, 4*3 = 12.

Hope this works!

Answer:

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

Answer:

volume = 45 yd³

Step-by-step explanation:

5 x 3 x 3 = 45 yd³

The volume of the cuboid will be 45 cubic yards.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of cube or cubes.

Given that the cuboid is having small cubes of side 1 yard. The length width and height of the cuboid is 5yd, 3yd, and 3yd respectively.

The volume will be calculated as:-

Volume = L x W x H

Volume = 5 x 3 x 3

Volume = 45 yards

Therefore, the volume of the cuboid will be 45 cubic yards.

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Answer:

3 weeks 21 days, 5 weeks 35, 7 weeks 49, 9 weeks 63 days

Step-by-step explanation:

Each week is 7 days

As we connect these two points, we get a straight line that passes through the origin (0, 0) with a slope of 1/2. This line represents the graph of the function f(x) = (1/2)x.

To find the values of f(x), we substitute the given values of x into the function f(x) = (1/2)x.

f(2) = (1/2)(2) = 1

f(0) = (1/2)(0) = 0

f(-3) = (1/2)(-3) = -3/2

Now let's graph the function f(x) = (1/2)x. Since it is a linear function with a slope of 1/2, we can start by plotting two points: (0, 0) and (2, 1).

Note that the graph extends infinitely in both directions, as the function is defined for all real values of x

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The quadrant the transformed parallelogram lands in is quadrant II

The vertices of the parallelogram are given as:

1    2

3   5

The transformation is given as:

-1   0

0   1

Multiply the matrices of the vertices of the parallelogram and the transformation.

1    2         -1    0              

3   5          0    1

This gives

-1 + 0           0 + 2

-3 + 0          0  + 5

Evaluate the sum

-1           2

-3          5

The above matrix can be represented as: (-1, 2) and (-3, 5)

The above vertices is located in the second quadrant

Hence, the quadrant the transformed parallelogram lands in is quadrant II

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Answer:

The lower left one.

Step-by-step explanation:

If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.

Answer:

\(6(\frac{1}{2} w-1)=3(w-2)\)

Step-by-step explanation:

\(6(\frac{1}{2} w-1)=3(w-2)\)              (Isolate parentheses)

\(3w-6=3w-6\)                      (Add six to both sides to isolate one variable w)

\(3w=3w\)                                  (Divide by three to isolate variable w)

\(w=w\)

Because we got \(w=w\), that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.

I hope this helped :)

2 out of 50 are defective.

Divide 2 by 50: 2/50 = 0.04

Now multiply the total quantity by that:

2000 x 0.04 = 80

80 are likely to be defective.

Answer:

complete solution at jemrare dot com

Step-by-step explanation:

Answer: its the first one baby girl

Step-by-step explanation:

if im wrong you can blame me

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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dy/dt = 10/3 when x = 1, y = 2, and dx/dt = 5. We can calculate it in tis manner:

Given that x and y are functions of t. The values of dx/dt, x = 1 and y = 2 are given. Also, y³ = 2x⁴ + 6

We have to find dy/dt.

Let's find the value of x at t = 1, using dx/dt=5∴ (d/dt)x = 5⇒ (d/dt)x = (d/dt)(1) = 5

Integrating both sides w.r.t t, we get,⇒ ∫(d/dt)x dt = ∫5 dt⇒ x = 5t + C1

Where C1 is the constant of integration. Given that x = 1 at t = 0. So, substituting these values in the above equation, we get,1 = 5(0) + C1⇒ C1 = 1So, x = 5t + 1

Also, we are given that y³ = 2x⁴ + 6By differentiating w.r.t t on both sides, we get,⇒ (d/dt)y³ = (d/dt)(2x⁴ + 6)⇒ 3y² (d/dt)y = 8x³ (d/dt)x⇒ (d/dt)y = 8x³ (d/dt)x / 3y²Now, we know that (d/dt)x = 5 and x = 1, y = 2.

So, substituting these values in the above equation, we get,(d/dt)y = 8(1³)(5) / 3(2²)⇒ (d/dt)y = 20/12⇒ (d/dt)y = 5/3

Therefore, dy/dt = 5/3
To find dy/dt, first differentiate the given equation y^3 = 2x^4 + 6 with respect to t using the chain rule.

Differentiating both sides with respect to t, we get:

3y^2(dy/dt) = 8x^3(dx/dt)

Now, substitute the given values x = 1, y = 2, and dx/dt = 5 into the equation:

3(2)²(dy/dt) = 8(1)^3(5)

12(dy/dt) = 40

Solve for dy/dt:

dy/dt = 40/12

Simplify the fraction:

dy/dt = 10/3

Therefore, dy/dt = 10/3 when x = 1, y = 2, and dx/dt = 5.

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Answer:

D) 4 < x < 6

Step-by-step explanation:

The interval is decreasing when it is doing down in value  when x is increasing.

The graph is decreasing over the interval between the values of 4 and 6.

Answer: wow

               I'd want nothing more than to swim in a pool of saliva.

The type of secretion in which some cytoplasm is lost with the product is known as "apocrine secretion."

In this process, the apical portion of the cell (where the secretory product is located) buds off and becomes the secretory product, taking with it some cytoplasm and cell membrane.

Apocrine secretion is seen in certain types of glands, such as the mammary glands, where it is responsible for the secretion of milk. It is also observed in some sweat glands, where it helps regulate body temperature by producing sweat.

Compared to other types of secretion, apocrine secretion is considered a less efficient process because some of the cell's resources are lost along with the secretory product. However, this loss is relatively minor and is outweighed by the benefits of producing the product.

In conclusion, apocrine secretion is a specific type of secretion in which some cytoplasm is lost along with the secretory product. This process is important for the proper functioning of certain glands and helps maintain the homeostasis of the body.

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Answer:

2 points

Step-by-step explanation

11x2=22 if Robert got 11 questions wrong and each question was worth 2 points that would equal 22 points deducted from his test

Answer:

y = -1

Step-by-step explanation:

-4 (y - 2) = 12

1. Multiply: -4y + 8 = 12

2. Subtract: -4y = 4

3. Divide: y = -1

Answer:

most likely b

Step-by-step explanation:

the more than symbol tells me that it is going to move past 10.

Answer:

The cheapest flight from Washington, D.C. to Portland was found 87 days before departure, on average. Book at least 2 weeks before departure in order to get a

Step-by-step explanation:

Answer:

x=10-y

Step-by-step explanation:

Answer:

d = 6

Step-by-step explanation:

Given the coordinates A(4, 6) and B(d, 12) with the gradient of AB to be 3

Gradient m = y2-y1/x2-x1

Substitute the given values

3 = 12-6/d-4

3 = 6/d-4

Cross multiply

3(d-4) = 6

Expand

3d - 3(4) = 6

3d - 12 = 6

Add 12 to both sides

3d - 12 + 12 = 6 + 12

3d = 18

Divide both sides by 3

3d/3 = 18/3

d = 6

Hence the value of d  is 6

Answer:

B is correct

Step-by-step explanation:

The x is a specific value that the variable can take on.

A random variable is a variable that has a numerical value, which is determined by the result of a random experiment. The numerical value is determined by a set of probabilities, which are associated with each possible outcome of the experiment. Random variables can be classified as discrete or continuous, depending on the type of outcomes that they can have. Examples of random variables include the number of heads in a series of coin tosses, the time until a traffic light changes from red to green, and the height of a randomly selected person.The randomness of a random variable comes from the fact that the outcome of the experiment that it represents is uncertain. The uncertainty arises because the experiment is subject to the effects of chance, rather than being completely determined by fixed physical laws or other deterministic factors. Because of this, it is not possible to predict with certainty what the value of a random variable will be, even if we know the probabilities associated with each possible outcome.There are many different notations that can be used to represent random variables, depending on the context and the preferences of the person using the notation. Some of the most common notations include X, Y, and Z, as well as Greek letters such as µ, σ, and ρ. When a random variable is discrete, it is often represented using a probability mass function, which is denoted by P(X=x), where x is a specific value that the variable can take on. When a random variable is continuous, it is often represented using a probability density function, which is denoted by f(x), where x is a specific value that the variable can take on.

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Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Assign the largest value to 'c'

If a² + b² = c² , then it is right triangle

If a² + b² > c², then it si acute triangle

If a² + b² < c² , then it is obtuse triangle

Here, a = 9 , b = 12 & c = 18

a² + b² = 9² + 12²

           = 81 + 144

a² + b² = 225

c² = 18²

c² = 324

a² + b² < c²

225 < 324

So, 9, 12 , 18 form a obtuse triangle

The distribution in residence is different today at a 0.05 level of significance can be conclude because the p-value = 0.0172

from the data given we can make the table below:

Categories       Observed(fo)        Expected (fe)        (fo-fe)²/fe

NW Oregon        3109           4357*0.727=3167.539       1.082

SW Oregon        902             4357*0.207=901.899           0

Central Oregon    244          4357*0.048=209.136         5.812

Eastern Oregon    102           4357*0.028=121.996         3.277

Sum =                    4357        4357                                   10.171

first,  null and alternative hypotheses need to be tested:

H0​:p1​=0.727,p2​=0.207,p3​=0.048,p4​=0.028

Ha​: The population proportion partially deviates from the value given by the null hypothesis

This corresponds to a Chi-Square test for Goodness of Fit.

then, Based on the data provided, the significance level is α=0.05, the number of degrees of freedom is df=4−1=3, so then the rejection region for this test is R={\(X^{2}X^{2}\)>7.815}.

after that we should do test statistic

The Chi-Squared statistic is calculated as follows:

∑\(^{n} _{i=1}\)\(\frac{(Oi-Ei)}{y} \\\) =   1.082+0+5.812+10.171 +3.277= 10.171

the we can make a decision about the null hypothesis by

\(X^{2} = 10.71 > X^{2} _{c} = 7.815\)

it is then concluded that the null hypothesis is rejected.

Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the α=0.05 significance level.

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Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.