What is -7(7-2p)=-22+5p

Answer:

The Correct answer is sinA/3.2=sin110°/4.6

The company should use the adjusted R² approach to select variables for their recommendation system, as it will better account for the influence of multiple variables and help create a more accurate model for predicting subscriber's movie ratings.

To build a successful movie recommendation system for the online media streaming company, it's important to consider the appropriate statistical approach for selecting variables.

In this case, the company should use the adjusted R² approach instead of the p-value approach.

The adjusted R² approach is more suitable for this scenario because it measures the proportion of variance in the dependent variable (subscriber's ratings) that is predictable from the independent variables (movie and subscriber data).

Adjusted R² takes into account the number of variables and adjusts for overfitting, which is important when dealing with a large dataset, like the one the streaming company has.

It helps in identifying the most influential factors and creating a model that better predicts movie ratings.
On the other hand, the p-value approach focuses on the statistical significance of individual variables, which might lead to including variables that are significant but not necessarily the best predictors for movie ratings.

This could result in a less accurate recommendation system.

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Therefore , the solution of the given problem of unitary method comes out to be during the 4-second period, the tram's elevation changed by 3 metres every second.

To complete the assignment, use the iii . -and-true basic technique, the real variables, and any pertinent details gathered from basic and specialised questions. In response, customers might be given another opportunity to sample expression the products. If these changes don't take place, we will miss out on important gains in our knowledge of programmes.

Here,

By dividing the overall elevation change (12 metres) by the total time required (4 seconds),

it is possible to determine the change in the tram's elevation every second. We would then have the average rate of elevation change per second.

=> Elevation change equals 12 metres

=> Total duration: 4 seconds

=>  12 meters / 4 seconds

=> 3 meters/second

As a result, during the 4-second period, the tram's elevation changed by 3 metres every second.

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The situation could yield variable data, and Variable data. How many pounds of recyclables trash does each household generate? ​this option is with the best statistical question. The town council members want to know how much recyclable trash a typical household in town generates each week.

Hence, the correct option is D.

Because

Hence, the correct option is D.

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* Kendra and her family used:

** 4 liters of fuel on day 1

*** 3 liters of fuel on day 2

**** 2 liters of fuel on day 3

***** 4 liters of fuel on day 4

So in total they used:

4 + 3 + 2 + 4 = 13 liters of fuel

Therefore, the amount of fuel they used in all is:

13 liters

The interest rate is approximately 10.95%, rounded to the nearest tenth of a percent.

Continuous compounding is given by the formula:

[tex]$A = Pe^{rt}$[/tex]

where:

A = final amount

P = initial amount

r = interest rate

t = time in years

We know that the initial investment P is $5000, and the final amount A is $10,000 (since the investment doubles in value). The time t is 6.3 years. We can solve for r as follows:

[tex]$A = Pe^{rt}$[/tex]

[tex]$10,000 = 5000e^{r(6.3)}$[/tex]

Divide both sides by 5000:

[tex]$2 = e^{r(6.3)}$[/tex]

Take the natural logarithm of both sides:

[tex]$\ln(2) = r(6.3)$[/tex]

Divide both sides by 6.3:

[tex]$r = \frac{\ln(2)}{6.3}$[/tex]

Using a calculator, we get:

[tex]$r \approx 0.1095$[/tex]

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with 4 df.

The correct answer is d. Two-sample t test with 9 df.

Matching the probability of falling BETWEEN the following z-scores will give: 10  Between -0.34 and 0.34 is  A) 0.2662. 2)Between 2.6 and 3.14 is B) 0.0039. 3) Between -3.04 and -0.56 is C) 0.8661.

To match the probability of falling between the given z-scores, we need to use a standard normal distribution table or a calculator with a built-in normal distribution function.

Between -0.34 and 0.34

Using the standard normal distribution table, the area between -0.34 and 0.34 is 0.2662. Therefore, the answer is A) 0.2662.

Between 2.6 and 3.14

Using the standard normal distribution table, the area between 2.6 and 3.14 is 0.0039. Therefore, the answer is B) 0.0039.

Between -3.04 and -0.56

Using the standard normal distribution table, the area between -3.04 and -0.56 is 0.8661. Therefore, the answer is C) 0.8661.

Between -1.17 and 2.23

Using the standard normal distribution table, the area between -1.17 and 2.23 is 0.2865. Therefore, the answer is D) 0.2865.

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Answer:

The formula for the area of a trapezoid is:

Area = (b1 + b2) / 2 x h

where b1 and b2 are the lengths of the two parallel bases, and h is the height.

We are given that the area of the trapezoid is 96 ft, the height is 8 ft, and one of the bases (b1) is 11 ft. We can use this information to find the length of the other base (b2).

Substituting the given values into the formula for the area of a trapezoid, we get:

96 = (11 + b2) / 2 x 8

Multiplying both sides by 2 and dividing by 8, we get:

24 = 11 + b2

Subtracting 11 from both sides, we get:

b2 = 13

Therefore, the length of the other base is 13 ft.

(1) m∠1=45°(sum of 3 angles of a triangle is always 180°)

(2) m∠1=180°-129°=51°(sum of two interior angles on the same side is equal to the exterior angle)

(3) m∠1= 152°-115°=37°

(4) m∠1=88°m∠2=42° m∠3=113°

An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The measure of an angle is typically expressed in degrees or radians, and it describes the amount of rotation needed to bring one of the rays into coincidence with the other.

A triangle is a closed two-dimensional shape with three straight sides and three angles.

(1) m∠1=45°(sum of 3 angles of a triangle is always 180°)

(2) m∠1=180°-129°=51°(sum of two interior angles on the same side is equal to the exterior angle)

(3) m∠1= 152°-115°=37°(sum of two interior angles on the same side is equal to the exterior angle)

(4) m∠1=88°(sum of 3 angles of a triangle is always 180°),m∠2=42°(vertically opposite angle theorem), m∠3=113°(sum of 3 angles of a triangle is always 180°)

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The coordinates of the reflected polygon F'G'H'I' are as follows:

F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).

What is the reflection?

In mathematics, reflection is defined as the mirror image of a figure crossing a line (drawn or imagined), known as the line of reflection.

The vertices of the polygon FGHI are as follows:

F(2, -1)

G(5, 2)

H(8, 3)

I(6, 0)

To reflect the polygon FGHI across the line y = -1, we need to flip the points over the line.

Now we can reflect each of the points of the polygon across the line y = -1 to get the image:

F(2, -1) stays in the same place because it lies on the line of reflection.

G(5, 2) is reflected to G'(5, -4) by flipping it vertically across the line y = -1.

H(8, 3) is reflected to H'(8, -5), and

I(6, 0) is reflected to I'(6, -2).

Hence, The coordinates of the reflected polygon F'G'H'I' are as:

F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).

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Complete question:

The complete question is attached in the image.

Answer:

135.07 mm2

Step-by-step explanation:

height = 10.39 mm

area = 135.07 mm2

The current in the circuit when the resistance is 12 ohms is 40 amps.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities.

We can use the inverse proportionality formula to solve this problem, which states that:

current (in amps) x resistance (in ohms) = constant

Let's call this constant "k". We can use the information given in the problem to find k:

24 amps x 20 ohms = k

k = 480

Now we can use this constant to find the current when the resistance is 12 ohms:

current x 12 ohms = 480

current = 480 / 12

current = 40 amps

Therefore, the current in the circuit when the resistance is 12 ohms is 40 amps.

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Similarly, if the spread of the training group's distribution is smaller than the spread of the no training group's distribution.

The training group ran faster on average, than the no training group.

To determine which pair of dot plots provides the strongest statistical evidence that the training group ran faster.

Compare the center and spread of the two groups.

The center of the training group's distribution is consistently to the left (i.e., lower times) of the center of the no training group's distribution.

Overlap between the two distributions, then we can conclude that the training group ran faster on average, than the no training group.

100 by adding data.

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We need to examine the dotplots and summary statistics of the two groups to determine which pair of dotplots provides the strongest statistical evidence that the training group ran faster, on average, than the no training group.

To determine which pair of dotplots provides the strongest statistical evidence that the training group ran faster, we need to compare the centers and spreads of the two groups. If the center of the training group is shifted to the left (smaller times) compared to the center of the no training group, and if the spread of the training group is smaller than the spread of the no training group, then we have stronger evidence that the training group ran faster, on average, than the no training group.

Without seeing the actual dotplots, we cannot make a definitive determination. However, we can describe what to look for in the dotplots. Specifically, we want to see a clear separation between the centers of the two groups, and we want to see less overlap between the dots in the training group than in the no training group.

In addition, we can calculate summary statistics for the two groups, such as the mean and standard deviation, to help us compare the centers and spreads of the two groups. If the mean of the training group is significantly smaller than the mean of the no training group, and if the standard deviation of the training group is significantly smaller than the standard deviation of the no training group, then we have stronger evidence that the training group ran faster, on average, than the no training group.

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Using the volume of the cylinder we know that 77% of the container B is full when the pumping is complete.

A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been solid in three dimensions.

In elementary geometry, it is regarded as a prism with a circle as its basis.

A cylinder can instead be described as an infinitely curved surface in a number of modern domains of geometry and topology.

The following is a list of the cylinder's attributes: It has two flat circular faces, two curved edges, and one curved surface.

Its uniform cross-section throughout makes it resemble a prism.

They feature two bases that are circular, flat, and arranged in a straight line.

So, the volume of cylinders A and B:

Formula: V=πr²h

Cylinder A:

V=πr²h

V=π10²20

V = 6283.18531

Rounding off: 6283 ft³

Cylinder B:

V=πr²h

V=π12²18

V=8143.00816

Rounding off: 8143 ft³

Then, contain A is what % of container B:

= 6283/8143 * 100

= 77.15

Rounding off: 77%

Therefore, using the volume of the cylinder we know that 77% of container B is full when the pumping is complete.

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The action that would reduce the amount the person paid in taxes to 1,000 is option (D) Receiving a $49,000 tax credit

In this scenario, the person has $50,000 in taxable income and pays a 10% income tax rate, which amounts to $5,000 in taxes. To reduce the tax liability to $1,000, the person needs to receive a tax credit of $49,000. Tax credits directly reduce the amount of tax owed, whereas tax deductions reduce taxable income.

A tax deduction of $4,000 would lower the taxable income to $46,000, resulting in a lower tax liability of $4,600, which is not low enough to reach $1,000. Therefore, a tax credit of $49,000 is needed to reduce the tax liability to $1,000.

Therefore, the correct option is (D) Receiving a $49,000 tax credit

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The given question is incomplete, the complete question is:

A person has $50,000 in taxable income for a year and pays a 10 percent income tax rate, equal to $5,000. Which action would reduce the amount the person paid in taxes to $1,000?

A.Receiving a $4,000 tax deduction

B.Receiving a $4,000 tax credit

C. Receiving a $49,000 tax deduction

D. Receiving a $49,000 tax credit

Answer:

48 ounces

Step-by-step explanation:

12*4= 48

The two column proof is written as follows

Statement                                                           Reason

MA = XR                                           given (opposite sides of rectangle)

MK = AR                                           given (opposite sides of rectangle)

arc MA = arc RK                               Equal chords have equal arcs

arc MK = arc AK                               Equal chords have equal arcs

An arc is a portion of the circumference of a circle, and a chord is a line segment that connects two points on the circumference.

If two chords in a circle are equal in length, then they will cut off equal arcs on the circumference. This is because the arcs that the chords cut off are subtended by the same central angle.

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The correct statement about scale factor is the radius of the larger can will be 8 inches. (option c).

Let's first consider the dimensions of the small can of tomato paste. We are given that it has a radius of 2 inches and a height of 4 inches. Therefore, its volume can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height. Substituting the given values, we get:

V_small = π(2²)(4) = 16π cubic inches

Using these dimensions, we can calculate the volume of the larger can using the same formula:

V_large = π(6²)(12) = 432π cubic inches

Now, let's compare the volumes of the small and large cans. We have:

V_large = 432π cubic inches > 16π cubic inches = V_small

Therefore, we can conclude that the volume of the larger can is greater than the volume of the smaller can. But is it three times greater? Let's compare:

V_large = 432π cubic inches 3

V_small = 3(16π) cubic inches = 48π cubic inches

We see that 432π cubic inches is not equal to 48π cubic inches, so option b) is not correct.

Finally, let's consider the radius of the larger can. We found earlier that it is 6 inches, which is greater than the radius of the smaller can, but it is not 8 inches. Therefore, option c) is correct.

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Complete Question:

A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3. Which of these true?

a) The radius of the larger can will be 5 inches.

b) The volume of the larger can will be 3 times the volume of the smaller can

c) The radius of the larger can will be 8 inches.

d) The volume of the larger can is 3 times the volume of smaller can

Answer:

y int: (0, -23)

Step-by-step explanation:

first you find the slope by taking two points and substituting it in rise over run ([tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex])

I used 25-13/-72+54 which eventually simplified to -2/3

You then use point slope form and plug in one pair of points

I used (-36,1) since it seemed the easiest

y-1=[tex]\frac{-2}{3}[/tex](x+36)   point slope form: [tex]y-y_{1}=m(x-x_{1} )[/tex]

y-1= [tex]\frac{-2}{3} x-\frac{72}{3}[/tex]

y-1=[tex]\frac{-2}{3} x-24[/tex]

y=[tex]\frac{-2}{3} x-23[/tex]

the number without the variable is always y int regardless of the numbers in the equation

therefore, the y int is (0,-23)

The probability that exactly 5 of Pete's friends will pass the CPA exam is approximately 0.275

This problem can be solved using the binomial distribution. We know that the probability of passing the CPA exam for a graduate of Pete's College of Business is p = 0.71.

We also know that there are eight friends taking the exam, so the number of trials (n) is 8. We want to find the probability that exactly 5 of them will pass.

The formula for the probability mass function of the binomial distribution is

P(X = k) = (n choose k) × p^k × (1-p)^(n-k)

where X is the random variable representing the number of successes (i.e., the number of Pete's friends who pass), k is the number of successes we want to find (i.e., 5), (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials, and p is the probability of success (i.e., 0.71).

Plugging in the numbers, we get

P(X = 5) = (8 choose 5) × 0.71⁵ × (1-0.71)³

= 56 × 0.71 × 0.29³

≈ 0.275

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The product of two terms gives the walkway's area around the garden: 15x+13.5.

A rectangle is a four-sided polygon with two pairs of parallel and congruent sides, and four right angles. The opposite sides of a rectangle are equal in length and parallel to each other, while the adjacent sides are perpendicular to each other.

Area of garden = 4(4.5x + 3.5) = 18x+14

The combined area of the garden and the walkway = 5.5​(6x+5​) =33x+27.5

The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:

Aw=combined area -Area of garden

=33x+27.5-18x-14

=15x+13.5

Thus, we can say that the area of the walkway around the garden is the sum of two terms: 15x+13.5.

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The point of intersection in the first quadrant is (3, 4) from the equation of circle.

We can start by substituting the equation of the line into the equation of the circle and solving for z and y.

The equation for the circle is:

(x - h)^2 + (y - k)^2 = r^2

Substituting h = 0, k = 3, and r = 3, we get:

x^2 + (y - 3)^2 = 9

Now, we substitute y = 2z + 3 into the equation:

x^2 + (2z + 3 - 3)^2 = 9

Simplifying, we get:

x^2 + 4z^2 = 9

Since we are looking for a point in the first quadrant, both x and z must be positive. We can solve for z in terms of x:

4z^2 = 9 - x^2

z^2 = (9 - x^2)/4

z = sqrt[(9 - x^2)/4]

Substituting this into the equation y = 2z + 3, we get:

y = 2sqrt[(9 - x^2)/4] + 3

To find the point of intersection in the first quadrant, we need to find a value of x that satisfies both this equation and the equation of the circle. We can substitute the equation for y into the equation for the circle:

x^2 + [2sqrt((9 - x^2)/4)]^2 = 9

Simplifying, we get:

x^2 + (9 - x^2)/2 = 9

Multiplying both sides by 2:

2x^2 + 9 - x^2 = 18

Solving for x:

x^2 = 9

x = 3

Substituting x = 3 into the equation for y, we get:

y = 2sqrt[(9 - 3^2)/4] + 3 = 4

Therefore, the point of intersection in the first quadrant is (3, 4).

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The total amount of money received by each child after splitting $9 among 15 children is equal to $0.60.

Total number of children is equal to 15

Total amount of money distributed among 15 children = $9

To find out how much each child receives,

We can divide the total amount of money by the number of children.

In this case, there are 15 children and $9 to split.

So, the amount of money each child receives is equal to,

(Total amount of money )/ ( total number of children )

= $9 ÷ 15

= $0.60

Therefore, amount of money received by each child in the group of 15 children is equal to $0.60.

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trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc)

The shortest driving distance between the stadium and the animal shelter is given as follows:

10 blocks.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates are given as follows:

Since the spaces are filled by houses, we cannot apply the formula, hence the shortest distance is:

6 - (-3) + 3 - 2 = 9 + 1 = 10 blocks.

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The z- score that has 20.9 of the distribution's area to its right is roughly 0.84.

To find the z- score that has 20.9 of the distribution's area to its right, we can use a standard normal distribution table or a calculator with a normal distribution function.

Using a standard normal distribution table, we can look for the area to the left of the z- score with an area of 1-0.209 = 0.791. The closest value we can find in the table is 0.7901, which corresponds to a z- score of 0.84.

Alternatively, we can use a calculator with a normal distribution function.However, 0, 1) = 0, If we use the formula" normalcdf(z. 209" to find the z- score, we get z = 0.84.

therefore, the z- score that has 20.9 of the distribution's area to its right is roughly 0.84.

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Answer:

To write the equation of the line that passes through the points (2, 7) and (0, -5), we can use the slope-intercept form of a linear equation, which is:

y = mx + b

Where m is the slope of the line, and b is the y-intercept.

First, we can find the slope of the line by using the formula:

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) = (2, 7) and (x2, y2) = (0, -5)

m = (-5 - 7) / (0 - 2)

m = -12 / -2

m = 6

So the slope of the line is 6.

Next, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Where (x1, y1) = (2, 7)

y - 7 = 6(x - 2)

Simplifying this equation, we get:

y - 7 = 6x - 12

y = 6x - 5

So the equation of the line that passes through the points (2, 7) and (0, -5) is y = 6x - 5.

Rounding to the nearest hundredth, the arc length of one slice is approximately 53.67 feet.

Arc length is the distance along the curved line or arc of a circle, measured in linear units such as centimeters, feet, or meters. It is calculated as the product of the radius of the circle and the angle subtended by the arc at the center of the circle, expressed in radians.

Here,

Since the circle is divided into eight equal slices, each slice is 360/8 = 45 degrees. The arc length of one slice can be calculated using the formula:

Arc length = (angle/360) x 2πr

where angle is the central angle in degrees, r is the radius of the circle, and π is the constant pi.

In this case, the diameter of the circle is 137 feet, so the radius is half of that, or 68.5 feet.

Substituting the given values into the formula, we get:

Arc length = (45/360) x 2 x 3.14 x 68.5

Arc length = 0.125 x 2 x 3.14 x 68.5

Arc length = 0.785 x 68.5

Arc length = 53.67 feet

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