4. At the ACME store you buylrubber chickens for $15, they are originally
$20. What percent of the total did you pay for the rubber chickens? *

The weighted average rating for movie 3285 can be calculated by multiplying each rater's similarity with the given rating and then dividing the sum by the total sum of similarities.

In this case, we have two raters with similarity values of 15 and 30, respectively. For the first rater with an ID of 30, the similarity value is 15 and the given rating for movie 3285 is 7.0. Therefore, the contribution of this rater to the weighted average rating is (15 x 7.0) = 105.0.

For the second rater with an ID of 20, the similarity value is 30 and no rating is given for movie 3285. Therefore, the contribution of this rater to the weighted average rating is 0. The total sum of similarities is 15 + 30 = 45.0. Thus, the weighted average rating for movie 3285 is (105.0 + 0) / 45.0 = 2.33.

So, the weighted average rating for movie 3285 is 2.33. It's important to note that this calculation assumes that these are the only two raters who rated the movie, and that their similarity values accurately reflect their taste in movies.

we'll use the following formula: Weighted Average = (Rating1 * Similarity1 + Rating2 * Similarity2) / (Similarity1 + Similarity2), Plugging in the values: Weighted Average = (15 * 7.0 + 30 * 30.0) / (7.0 + 30.0)
Weighted Average = (105 + 900) / 37
Weighted Average = 1005 / 37
Weighted Average ≈ 27.16

So, the weighted average rating for the movie with ID 3285 is approximately 27.16.

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The most appropriate choice for reflection will be given by-

After reflection over y-axis, coordinate of K will become K' (6, -1)

After reflection over y-axis, coordinate of L will become  L' (0, -1)

After reflection over y-axis, coordinate of M will become M' (0, -2)

After reflection over y-axis, coordinate of J will become  J' (6, -2)

What is reflection?

Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.

The line is called the line of reflection.

Here,

After reflection over the y - axis, sign of x coordinate will be same.

Coordinate of K = (-6, -1)

After reflection over y-axis, coordinate of K will become K' (6, -1)

Coordinate of L = (0, -1)

After reflection over y-axis, coordinate of L will become L' (0, -1)

Coordinate of M = (0, -2)

After reflection over y-axis, coordinate of M will become M' (0, -2)

Coordinate of J = (-6, -2)

After reflection over y-axis, coordinate of J will become J' (6, -2)

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An orthocenter is a point in a triangle that is equidistant from all three vertices. One way to construct an orthocenter in a triangle is to take the centroid of the triangle and reflect it over one of the sides. The point where the reflected centroid intersects the other two sides is the orthocenter.

Another way to construct an orthocenter is to take the circumcenter of the triangle and reflect it over one of the sides. The point where the reflected circumcenter intersects the other two sides is the orthocenter.

One triangle that illustrates an orthocenter is the 30-60-90 triangle, which has sides of length 30, 60, and 90. The orthocenter of this triangle is the point where the three medians intersect.

It is worth noting that there are other triangles that also illustrate an orthocenter, but the 30-60-90 triangle is one of the most commonly used examples.  

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The probability that the code is a number less than 4000 is given as follows:

2/5.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The total number of codes is given as follows:

5 x 4 x 3 x 2 = 120.

(number of options for each position).

For codes less than 4000, the first digit must be of 0 or 2, hence the number of codes is given as follows:

2 x 4 x 3 x 2 = 48.

Hence the probability is of:

p = (2 x 4 x 3 x 2)/(5 x 4 x 3 x 2) = 2/5.

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Answer:

Step-by-step explanation:

11

Answer:

19467.2

Step-by-step explanation:

Step 1:

25000 * (1 - .08) = 23000 end of year 1 value

Step 2:

23000 * (1 - .08) = 21,160 end of year 2 value

Step 3:

21,160 * (1-.08) = 19467.2 end of year 3 value

Scientific notation the

Answer: 2.87

Step-by-step explanation:

you divide the miles by the gallons

Answer: is II and III an option those are the ones that would be correct.

Step-by-step explanation:

You can only have one of each domain. For example you cannot have (0,0) and (0,1) since that won’t pass the vertical line test, you can have (0,0) and (4,0) as long as the domains are different, they can still have the same ranges.

Answer: -4 and 9

Step-by-step explanation:

The least common multiple refers to the common multiple for the give numbers.

Among the answer choice, number 3 makes more sense. All the product of the common factors is the LCM.

Answer:

155

Step-by-step explanation:

Solution

\(\sqrt{155} *\sqrt{155}\) is the same thing as \(\sqrt{155}^2\), when we square a square root, we get the number that's inside the radical.

Given this method, we can easily say that \(\sqrt{155} * \sqrt{155}\) is just \(155\).

Another way:

Answer:

155.

Step-by-step explanation:

By the definition of a square root the answer is 155.

Answer:

It could be used for products. People could say, "These are 30% off", "They (any product) have been increased by 15%"

In psychology (i am currently doing psychology), they usually like the results in percentages, especially in the discussion part, where you discuss the results. You would say that (this is an example from my recent report):

"The participants that utilised divided attention got an average of 1.6 answers correct, compared to participants who utilised selective attention, who got on average, 4.7 answers correct. This is a 63% decrease...."

Answer:

-3 does not belong because it is not an algebraic expression unlike the others.

-3 dose not belong because it is an algebraic expression and you can also tell cause it ha no X

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

Hey there!

Solving for a:

a=x-b

Solving for x:

x=a+b

Solving for b

a+b=x

b=x-a

Let me know if this helps :)

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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Answer:

OMg whats there ikdd im tring

Step-by-step explanation: Im starting to solve it

The final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2)

Given expression is (a - b) (x²-7) - (a - b) (4x + 5).Here, (a - b) is a common factor in the given expression. We can factor out (a - b) as follows:(a - b) (x²-7) - (a - b) (4x + 5) = (a - b) [(x² - 7) - (4x + 5)] = (a - b) (x² - 4x - 12)Next, we can further factorize the expression x² - 4x - 12 as follows:x² - 4x - 12 = (x - 6) (x + 2)

Therefore, the final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2) - this is the answer.

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Answer:

$250 + $23x

Step-by-step explanation:

One time set-up fee for jerseys = $250

cost of one jersey = $23

therefore, cost x jersey = cost of one jersey*x = 23x

Total cost for this deal will be sum of  One time set-up fee for jerseys and cost x jersey

Total cost = One time set-up fee for jerseys + cost x jersey

Total cost =  $250 + $23x

Expression represents the total cost of x number of jerseys for the team is  $250 + $23x.

Explanation

Step 1

the sum of the internal angles in a triangle equals 180, then

for triangle CDE

Step 2

as we can see, in poitn c, we have a 180 degrees angle(ACD)

so

I hope this helps you

Answer:

x = 1/2 , x = 1/4 , x = 1/3

Step-by-step explanation:

Factor the following equation --> 24x^3 — 26x^2 + 9x — 1 = 0

You will get ----> (2x - 1) (4x - 1) (3x - 1) = 0

Now make all the above expressions = 0 and solve.

2x - 1 = 0                                4x - 1 = 0                                 3x - 1 = 0

   +1    +1                                    +1    +1                                      +1     +1

------------------                         ------------------                          ------------------

2x = 1                                          4x = 1                                      3x = 1

/2   /2                                          /4   /4                                      /3    /3

-------------------                        -------------------                       ----------------------

x = 1/2                                           x = 1/4                                     x = 1/3

Different lampshades that could be used together are A) 5.

How to determine the value of any factorial value?
The factorial function (symbol:!) instructs us to multiply all whole numbers starting at the number we have chosen down to one.

Examples:

4! = 4 × 3 × 2 × 1 = 24

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

according to the question,  five lamp bases and four lampshades that could be used together. so the calculation will be 5C4

using factorial,

Hence, 5 different arrangements of base and shade can be offered together. (using factorial)

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The fact that black youths are tried as adults more frequently than other races is a statistic. However, without further information such as sample size and significance level, it is difficult to determine the contribution to the test statistic and the p-value.

A larger sample size could potentially increase the test statistic and decrease the p-value, indicating a stronger relationship between race and being tried as an adult. On the other hand, a smaller sample size could result in a weaker relationship and a higher p-value. It is important to consider all relevant factors when interpreting statistics and making conclusions.
This result contributes to the test statistic, which is a numerical value that helps determine if there is a significant difference between the compared groups.

In this case, the test statistic would be larger, indicating a greater difference between the rates of black youths tried as adults and those of other races. A larger test statistic typically leads to a smaller p-value, which is a measure of the probability of observing such a difference by chance alone. A smaller p-value (usually less than 0.05) suggests that the observed difference is not due to chance and is statistically significant, indicating a possible disparity in the treatment of black youths within the justice system.

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The function g is defined by:

g(u) = - (1/lambda) * ln(1 - u) for 0 < u < 1.

The random variable X = g(U) has the exponential (lambda) distribution.

(i) To create a random variable X that has cdf F, and you have a number picked uniformly on (0,1), you should do the following:

Let U be a uniform (0,1) random variable. To construct a random variable X=F^(-1)(U) so that X has the cdf F, take the inverse of the cdf F, denoted as F^(-1), and apply it to the uniformly distributed random variable U.

(ii) To find the function g for an exponential distribution with parameter lambda, you should set F as the exponential cdf, which is given by:

F(x) = 1 - e^(-lambda * x)

Now, you can find the inverse function F^(-1)(u):

1. Set u = F(x): u = 1 - e^(-lambda * x)
2. Solve for x: x = - (1/lambda) * ln(1 - u)

So, the function g is defined by g(u) = - (1/lambda) * ln(1 - u) for 0 < u < 1. The random variable X = g(U) has the exponential (lambda) distribution.

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Answer:

$7.75 in total

Answer:

-1.517

Need to know:

Integral constant rule: ∫ (ax)dx = a ∫ (x)dx

Integral power rule: ∫ xⁿ = xⁿ⁺¹/(n + 1)

\(\int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Quadratic formula: \(\frac{-b +-\sqrt{b^{2} -4ac} }{2a}\)

Step-by-step explanation:

First, we have to find the average value of f over the interval [-2, 2]

To find that, calculate the integral of 3x(x - 2)

∫ 3x(x - 2)dx = 3 ∫ x(x - 2)dx = 3 ∫ x² - 2xdx (pulled out the 3 because of the constant rule)

Use the power rule to solve the integral

3 [x²⁺¹/(2 + 1) - 2x¹⁺¹/(1 + 1)] = 3[x³/3 - 2x²/2]

Distribute the 3

3[x³/3 - 2x²/2] = x³ - 3x² = F(x)

We plug in 2 in place of x

F(2) = 2³ - 3(2)² = -4

Do the same with -2

F(-2) = (-2)³ - 3(-2)² = -20

We have to remember that  \(\int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

let a = -2    b = 2

F(2) - F(-2) = -4 - (-20) = -4 + 20 = 16

The average value of f over the given interval is 16.

Now we make it to where f(x) = 16 to find c

3x(x - 2) = 16

3x² - 6x = 16

Subtract 16 from both sides to make it equal to zero

3x² - 6x = 16

       - 16    - 16

3x² - 6x - 16 = 0

a = 3 b = -6 c = 16

Plug these numbers into the quadratic formula

\(\frac{-(-6) +-\sqrt{(-6)^{2} -4(3)(-16)} }{2(3)}\)

\(\frac{6 +-\sqrt{36 + 192} }{6}\)

\(\frac{6 +\sqrt{228} }{6}\) = -1.51661

\(\frac{6 -\sqrt{228} }{6}\) = 3.51661

-1.51661 is the only number out of the two that fits in the given interval [-2,2], so c would have to be -1.517 in order for f(c) to equal the average value of f over the given interval.

1. The base pay Carter makes regardless of computer sales is $100

2. The linear relationship that shows the sales will be P = 100 + 10x

From the information given, Carter is a salesperson who sells computers at an electronics store and he makes a base pay amount each day and then is paid a commission for every computer sale he makes.

The starting salary is $100. This is the base pay.

The commission given is $10 per good sold. Therefore, the expression will be:

= 100 + 10x

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Answer:

170

Step-by-step explanation:

multiply base (radius squared * pi) times height

V = b * h

V = r^2 * pi * 6

V = 3^2  * pi * 6

V = 9 * pi * 6

V = 54 * pi

V = 169.64

*since 6 is greater than 5, round up

V = 170