The wells family drinks 8. 5 gallons per week. The McDonald family drinks 1. 1 gallons of milk each day. What is the difference,in liters, between the amounts of milk the families drink in one week

Answer:

3(-x+2)(x+2)

Step-by-step explanation:

1.-3x^2+12

2.-3x^2+2^2x3

3.3(- 3x^2/3 +2^2 x3/3)

4.3(-x+2)(x+2)

The proportion of weeks in which the waste disposal facility in KnowWearSpatial, U.S.A. is overloaded is approximately 0.4904 or 49.04%.

To find the proportion of weeks in which the facility is overloaded, we need to calculate the probability of the waste weights being greater than 27.09 lb. This can be done by calculating the z-score and then looking up the corresponding probability from the standard normal distribution table or using a calculator.

Here are the steps to calculate the proportion:

⇒ Calculate the z-score

The z-score can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

In this case, we want to find the z-score for x = 27.09 lb.

z = (27.09 - 26.79) / 12.03

⇒ Look up the probability

Using the z-score obtained in Step 1, we can find the corresponding probability from the standard normal distribution table or using a calculator.

⇒ Calculate the proportion

The proportion of weeks in which the facility is overloaded is equal to 1 minus the probability calculated in Step 2.

Now, let's perform the calculations:

→ Calculate the z-score

z = (27.09 - 26.79) / 12.03

z ≈ 0.0249

→ Look up the probability

Using the z-score 0.0249, we can find the corresponding probability from the standard normal distribution table or using a calculator. The probability is approximately 0.5096.

→ Calculate the proportion

The proportion of weeks in which the facility is overloaded is 1 - 0.5096 = 0.4904.

Therefore, the proportion of weeks in which the waste disposal facility is overloaded is approximately 0.4904 or 49.04%.

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9514 1404 393

Answer:

  4 kg : 12 kg : 20 kg

Step-by-step explanation:

The total number of "ratio units" is 1+3+5 = 9, so each of them represents ...

  (36 kg)/9 = 4 kg

Multiplying the given ratio by 4 kg will show the appropriate division:

  1(4 kg) : 3(4 kg) : 5(4 kg) = 4 kg : 12 kg : 20 kg

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

100 degrees

Step-by-step explanation:

Since triangle ABC is similar to triangle DEF, their angles are basically the same.

All angles of a triangle have to add up to 180.

We are already given two angles: 30 and 50

Add them together: 30 + 50 = 80

Now we subtract the number from 180

180 - 80 = 100

The remaining angle has to be 100 degrees

Answer:

AA (Angle-Angle): If triangles have two of the same angles, then the triangles are similar. SAS (Side-Angle-Side): If triangles have two pairs of proportional sides and equal included angles, then the triangles are similar.

Step-by-step explanation:

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{7}}x+1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so for the parallel line we're really lookikng for the equation of aline whose slope is 5/7 and that it passes through (-5 , 6)

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ \cfrac{5}{7}}(x-\stackrel{x_1}{(-5)}) \implies y -6= \cfrac{5}{7} (x +5) \\\\\\ y-6=\cfrac{5}{7}x+\cfrac{25}{7}\implies y=\cfrac{5}{7}x+\cfrac{25}{7}+6\implies {\Large \begin{array}{llll} y=\cfrac{5}{7}x+\cfrac{67}{7} \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{7}} ~\hfill \stackrel{reciprocal}{\cfrac{7}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{7}{5}}}\)

so for the perpendicular line we're really looking for the equation of a line whose slope is -7/5 and that it passes through (-5 , 6)

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{7}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{- \cfrac{7}{5}}(x-\stackrel{x_1}{(-5)}) \implies y -6= -\cfrac{7}{5} (x +5) \\\\\\ y-6=-\cfrac{7}{5}x-7\implies {\Large \begin{array}{llll} y=-\cfrac{7}{5}x-1 \end{array}}\)

Answer:

Kayla compró tres libras de fresas por $ 14,40, cuál es el precio en dólares por onza de fresas.

1 libra = 16 onzas

Step-by-step explanation:

This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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The standard error of the sample proportion is B: 0.033.

Based on the given data Sukie interviewed 125 employees at her organization and found that 21 of the employees had the plan to take an extended vacation next year.

Let  p = proportion of employees who planned to take an extended vacation next year

         so, p = x/n = 21/125 = 0.168

n = number of employees Sukie's company = 125

x= number of employees who plan for extended vacations

Now, the standard error of the sample proportion is calculated as:

      Standard error  =    √ p (1-p) / (n)

                              =   √ 0.168 (1-0.168) / (125)

                              = 0.033

Thus, the standard error is 0.033.

"

Complete question :

sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. what is the standard error? answer choices are rounded to the thousandths place.

A: 0.013

B: 0.033

C: 0.023

D:  0.021

"

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Answer:

81

Step-by-step explanation:

First find the amount decrease

90 * 10 %

90 * .10

9

90 decreased by 9

90 -9

81

The length of the third side of the triangle with a perimeter of 7x + 8 is 2x + 3

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

A triangle is a polygon that has three sides. The perimeter of a triangle is the sum of all the three sides.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

A triangle has a perimeter of 7x + 8. the first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

7x + 8 = 3x + (2x - 5) + side 3

7x + 8 = (5x - 5) + side 3

side 3 = 7x + 8 - (5x - 5)

side 3 = 2x + 13

The length of the third side is 2x + 3

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Answer:

The place of 9 = 10,000 (ten thousand)

The place value of 9 = 9 x 10,000 =  90,000

I hope its right  ;)

The speed of the truck in km/h at the end of this distance is equal to 81.43 km/h.

The time elapsed is equal to 0.7939 seconds.

In order to determine the speed of the truck in km/h at the end of this distance, we would apply the third equation of motion:

v² = u² + 2as

Where:  

Next, we would convert the value of deceleration in m/s² to km/h² as follows;

Deceleration, a = 6.5 × 60⁴/1000 = -84,240 km/h².

Distance, s = 20/1000 = 0.02 m.

Substituting the given parameters into the third equation of motion, we have;

v² = 100² + 2(-84,240)(0.02)

Speed, v = √(10,000 - 3,369.6)

Speed, v = √6,630.4

Speed, v = 81.43 km/h.

Lastly, we would determine the time by using the first equation of motion:

V = U + at

Time, t = (V - U)/a

Time, t = (100 km/h - 81.43 km/h)/6.5

Time, t = [(100 × 1000/3600) - (81.43 × 1000/3600)]/6.5

Time, t = (27.78 - 22.62)/6.5

Time, t = 5.16/6.5

Time, t = 0.7939 seconds.

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Complete Question:

The driver of a pick up truck going 100 km/h applies the brakes, giving the truck a uniform deceleration of 6.50 m/s^2 while it travels 20.0 m.

a. What is the speed of the truck in km/h at the end of this distance?

b. How much time has elapsed?

Statistical analyses are least likely to be found in a (D) qualitative research.

Therefore, statistical analyses are least likely to be found in a (D) qualitative research.

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Answer:

The compacity is 20 gallons per hour. Hope this helps!

Answer:

the answer is 27.78 oz.

Step-by-step explanation:

...

Answer:

28

Step-by-step explanation:

24/6=4

11-4=7

4(7)=28

I hope this helps..

your answer would be a. 28

Approximate value of y when x=1 is 2 (based on the given model and parameter estimates). Therefore, the answer is option b.

To predict the value of the y variable when x=1 using the given model and parameter estimates, we substitute the values into the equation:

y = β + β ln(x) + u

Given parameter estimates:

β1 = 2

β2 = 1

Substituting x=1 into the equation:

y = 2 + 2 ln(1) + u

Since ln(1) is equal to 0, the equation simplifies to:

y = 2 + 0 + u

y = 2 + u

As we don't have information about the value of the error term u, we can't provide an exact value for y when x=1. However, we can say that the approximate value of y when x=1 is 2, based on the given model and parameter estimates. Therefore, the answer is option b.

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Answer:

dilation

Step-by-step explanation:

Answer:

degree equation

Step-by-step explanation:

I hope this helped you!

Answer:

A negative degree equation.

Step-by-step explanation:

Answer:

y = 0

Step-by-step explanation:

\(-4(-6y-3)=12\\\\24y+12=12\\\\24y+12-12=12-12\\\\24y=0\\\\\frac{24y=0}{24}\\\\\boxed{y=0}\)

Hope this helps.

Answer:

its y=0

Step-by-step explanation:

i had the same question on my quiz

Answer:

A = 0.5, 4

B = -3, 0

C = -1, 1

Answer:

A = (0.5, 4)

B = (-3,0)

C = (-1, 1)

Step-by-step explanation:

You just need to find the x and y points. Remember that the number for x comes before the number for y.

The solution of the system goes to infinity as t gets large.

Consider the given system of differential equations: dx/dt = 3x + 4ydy/dt = −x − 2yNow, find the solution of the system:(2)   dx/dt + 2 dy/dt = 7xObserve the second equation and multiply it by 2:2  dy / dt = −2x − 4y(3)   dx/dt + 2 dy/dt = 3x − 4ySubstitute the value of dy/dt from (3) into (2):(2)   dx/dt + 3x − 4y = 7xSimplify this equation:dx/dt − 4x = 4yTake the laplace transform of both sides: Laplace{dx/dt − 4x} = Laplace{4y} ⇒ sX(s) − x(0) − 4X(s) = 4Y(s) ⇒ X(s) = {4Y(s)}/{s − 4}Now, find the Laplace transform of y(s):(1)   dy/dt = −x − 2y ⇒ Laplace{dy/dt} = −Laplace{x} − 2Laplace{y} ⇒ sY(s) − y(0) = −X(s) − 2Y(s) ⇒ Y(s) = {−X(s)}/{s + 2}Substitute the value of X(s) in the above equation, we get:Y(s) = {−4Y(s)}/[(s − 4)(s + 2)]Simplify this equation:Y(s) = {A}/{s − 4} + {B}/{s + 2}Now, find the values of A and B:Multiplying the above equation by (s − 4) and (s + 2), we get:Y(s) = A(s + 2) + B(s − 4)Simplify this equation:Y(s) = (A + B)s + 2A − 4BAs per the equation (3), we can say A + B = 0, 2A − 4B = −4On solving, we get A = 2, B = −2Therefore, the value of Y(s) is:Y(s) = {2}/{s − 4} − {2}/{s + 2}Now, substitute the value of X(s) and Y(s) in the following equation:dx/dt − 4x = 4yThe solution of the above differential equation is:x(t) = {2}/{3}e^{4t} − {5}/{3}e^{-2t}The above is the general solution of the given system of differential equations.Now, find what happens to the system as t gets large?As t gets large, the term {5}/{3}e^{-2t} will tend to zero and {2}/{3}e^{4t} will tend to infinity.

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Are these both individual problems or a part of the same question? If you could provide more details, I can see how I can help you with this question. Thanks!

To estimate the hazard of hospitalization for the new drug group (Trt=1) during weeks 11 through 20,calculate the number of person-weeks at risk during this period and the number of hospitalizations that occurred.

From the given data, we can see that in the new drug group (Trt=1), the following hospitalizations occurred during weeks 11 through 20: 11+, 12+, 13+, 17+, 19+, and 20+. The plus sign indicates censoring, which we will assume to be independent of the disease. To calculate the number of person-weeks at risk, we count the number of individuals in the new drug group (Trt=1) who were not censored during weeks 11 through 20. From the given data, we see that the following individuals were not censored during this period: 11+, 12+, 13+, 17+, 19+, and 20+. Therefore, there are 6 individuals who contributed person-weeks at risk. The number of hospitalizations during this period is 6. Now we can calculate the estimated hazard of hospitalization for the new drug group (Trt=1) during weeks 11 through 20 by dividing the number of hospitalizations by the number of person-weeks at risk: Estimated hazard = Number of hospitalizations / Number of person-weeks at risk = 6 / 6 = 1. Therefore, the estimated hazard of hospitalization for the new drug group (Trt=1) during weeks 11 through 20 is 1/1 person-weeks.

Since none of the given options match the calculated result, it appears there may be an error or omission in the given options.

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Hey there! I explained and wrote everything on paper since it's hard to type so you can view the pic uploaded! Hope it helps, if you have any doubts, please feel free to ask :)

This matrix has exactly one (real) eigenvalue of 2, and the 2-eigenspace is the line spanned by the vector [1, 0, 0].

To find a 3x3 matrix with exactly one (real) eigenvalue 2, such that the 2-eigenspace is a line, we can start by constructing a diagonal matrix with a 2 in the top left corner, a 1 in the middle, and a 0 in the bottom right corner. This matrix would have a single eigenvalue of 2, since the other two entries do not affect the determinant.

Next, we can choose a non-zero vector v that lies in the 2-eigenspace. Since the eigenspace is a line, any non-zero vector in that line will suffice. Let's choose v = [1, 0, 0] for simplicity.

Finally, we can construct our desired matrix A by using the formula A = PDP^-1, where P is the matrix whose columns are the eigenvectors of A, and D is the diagonal matrix of eigenvalues. Since we only have one eigenvalue of 2, D will be [2 0 0]. We already have one eigenvector v = [1, 0, 0] in the 2-eigenspace, so we need two more linearly independent eigenvectors to complete P.

One option is to choose any two linearly independent vectors that are orthogonal to v. Let's choose u = [0, 1, 0] and w = [0, 0, 1]. These vectors are clearly orthogonal to v and to each other.

We can then construct the matrix P by placing the eigenvectors v, u, and w as the columns of P:

P = [1 0 0; 0 1 0; 0 0 1]

Finally, we can compute the inverse of P by swapping the rows and columns:

P^-1 = [1 0 0; 0 1 0; 0 0 1]

Putting it all together, we have:

A = PDP^-1 = [1 0 0; 0 1 0; 0 0 1][2 0 0; 0 1 0; 0 0 0][1 0 0; 0 1 0; 0 0 1]

A = [2 0 0; 0 1 0; 0 0 0]

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