(20 points) Statistics

Answer:

For first 30 GB, a fix payment of 500 Pesos, equation would be:

C(g) = 500(g⁰), note: g⁰ = 1, where g ≤ 30

It is also equal to C(g) = 500 when g ≤ 30.

For 30 GB to 49 GB, 30 pesos each GB will be charged, equation would be:  

C(g) = 500 + 30(g-30)  

C(g) = 500 + 30g - 90

C(g) = 30g + 410, where 30 < g < 50

For 50 GB and above, the equation will be:  

C(g) = 1000(g⁰), where g ≥ 50

It is also equal to C(g) = 1000, when g ≥ 50.

Answer:

This is a function and there is no value of x for which we will get two or more different values of y.

Step-by-step explanation:

Now, this is a function and there is no value of x for which we will get two or more different values of y

The equation is y = 2x

bye

The slope of a regression line provides valuable insights into the relationship between two variables in a linear regression analysis. It represents the rate of change in the dependent variable for a one-unit increase in the independent variable.

Specifically, a positive slope indicates that as the independent variable increases, the dependent variable also tends to increase. Conversely, a negative slope suggests an inverse relationship where an increase in the independent variable corresponds to a decrease in the dependent variable.

The magnitude of the slope is crucial as it quantifies the strength of the relationship. A larger slope signifies a steeper incline or decline, indicating a stronger association between the variables. Additionally, the slope can be interpreted as the predicted change in the dependent variable when the independent variable increases by one unit, assuming all other variables remain constant.

Overall, the slope of the regression line serves as a crucial indicator of the direction, strength, and magnitude of the relationship between variables in a linear regression model.

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The value of the given expression is 0.

When evaluating the given expression, we need to integrate the function (8x+y) with respect to both x and y over the specified limits. The integral of 8x with respect to x is 4x^2, and the integral of y with respect to y is 0. Therefore, the integral of (8x+y) dx dy simplifies to 4x^2y.

Next, we substitute the limits of integration, which are from x = 0 to x = 4 and from y = 5 to y = 1. Plugging these values into the expression 4x^2y, we get:

4(4^2)(1) - 4(0^2)(5)

= 4(16)(1) - 4(0)(5)

= 64 - 0

= 64

Thus, the overall value of the given expression is 64.

Integration is a fundamental concept in calculus, involving finding the area under a curve or the accumulation of a function. In this particular case, we evaluated a double integral, integrating a two-variable function over a rectangular region. The limits of integration determine the range over which the integration occurs, and the resulting expression simplifies to a single value. Understanding integration and its applications is crucial in various fields, including physics, engineering, and economics.

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Rounding to the nearest dime, the future value of the deposit on 31Dec2024 is $1,207.50.

What is Compound Interest ?

Compound interest is the interest that is earned not only on the principal amount of a loan or investment but also on the interest accumulated over time

To calculate the future value of the deposit, we can use the continuous compound interest formula:

A = P * \(e^{rt}\)

Where:

A = future value

P = initial deposit

r = annual interest rate (as a decimal)

t = time in years

In this case, P = $987.01, r = 0.065 (6.5% expressed as a decimal), and t = 3 years (from 01Jan2021 to 31Dec2024). Plugging these values into the formula, we get:

A = 987.01 * \(e^{(0.065 * 3) }\) = 1,207.54

Therefore, Rounding to the nearest dime, the future value of the deposit on 31Dec2024 is $1,207.50.

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The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite.

If the side of DF = 7.7 cm then DE = 3.7 cm.

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangled triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given: DF = 7.7 cm and ∠ E = 29°

Let the equation be

sin θ = P/h = DF / DE

substitute the values in the above equation, we get

⇒ sin 29° = 7.7 / DE

⇒ DE = 7.7 / 0.48 = 3.696 = 3.7 cm

Therefore, the correct answer is option a) 3.7 cm.

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Answer:

10 outcome is the answer

Answer:

A = 180 and 160.

B = 180, 45 and 45.

C = 180 and 45.

D = 180 and 164.

E = 180 and 250.

F = 180 and 55.

Answer:

Area of the square: 36

Step-by-step explanation:

6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!

Answer:

A=36 cm²

Step-by-step explanation:

the perimeter of triangle=a+b+c

P=6.1+8.2+9.7

P= 24 cm

P of triangle = P of square ( square has 4 equal sides):

24=4a

a=24/4=6

Area of square : a²

A=6² = 36 cm²

Answer:

No

Step-by-step explanation:

A prime number cannot be divided exactly by any number other than itself and 1.

For example, 17 is a prime number, since it can only be exactly divided by 17 and 1.

85 is NOT a prime number, since it CAN be divided by 5.

The figure ABCD formed by points (2, 2), (7, 3), (5, 1) and (4, 1) is transformed to the image A'B'C'D' by the line of reflection x = 6. (Correct choice: A)

In this question we need to derive the equation of the line of reflection associated with the transformation of the image ABCD to the image A'B'C'D'. Reflections are a kind of rigid transformation, that is, a transformation that conserves the Euclidean distance of every point of the figure.

A quick though efficient approach consists in graphing the points A, B, C, D, A', B', C' and D' and the we draw a vertical line such that the Euclidean distance of all points are conserved. In consequence, we conclude that the line of reflection is x = 6.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

72 ounces

Step-by-step explanation:

given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be

12×6

thus it would equal 72

Answer:

72 oz.

Step-by-step explanation:

12 oz times 6 duhhhh

Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

The absolute maximum value of the function f(x) = 14x cos(x) within the interval 0 ≤ x ≤ π is approximately -60.613311.

Starting with x_0 = π/2, we will iteratively apply Newton's method:

x_1 = x_0 - (f(x_0) / f'(x_0))

= π/2 - (14(π/2)cos(π/2) / 14(cos(π/2) - (π/2)sin(π/2)))

= π/2 - (π/2) / (1 - (π/2))

= π/2 - (π/2) / (1/2)

= π/2 - π

= -π/2

The difference |x_1 - x_0| = π is greater than the desired tolerance, so we continue iterating:

x_2 = x_1 - (f(x_1) / f'(x_1))

= -π/2 - (14(-π/2)cos(-π/2) / 14(cos(-π/2) - (-π/2)sin(-π/2)))

= -π/2 - (π/2) / (1 - (-π/2))

= -π/2 - (π/2) / (1 + (π/2))

= -π/2 - (π/2) / (1/2)

= -π/2 - π

= -3π/2

The difference |x_2 - x_1| = π/2 is still greater than the desired tolerance, so we iterate further:

x_3 = x_2 - (f(x_2) / f'(x_2))

= -3π/2 - (14(-3π/2)cos(-3π/2) / 14(cos(-3π/2) - (-3π/2)sin(-3π/2)))

= -3π/2 - (3π/2) / (1 - (-3π/2))

= -3π/2 - (3π/2) / (1 + (3π/2))

= -3π/2 - (3π/2) / (1/2)

= -3π/2 - 6π

= -13π/2

The difference |x_3 - x_2| = 5π/2 is still greater than the desired tolerance, so we continue:

x_4 = x_3 - (f(x_3) / f'(x_3))

= -13π/2 - (14(-13π/2)cos(-13π/2) / 14(cos(-13π/2) - (-13π/2)sin(-13π/2)))

= -13π/2 - (-13π/2) / (1 - (-13π/2))

= -13π/2 - (-13π/2) / (1 + (13π/2))

= -13π/2 - (13π/2) / (1/2)

= -13π/2 - 26π

= -65π/2

The difference |x_4 - x_3| = 6π is still greater than the desired tolerance, so we continue:

x_5 = x_4 - (f(x_4) / f'(x_4))

= -65π/2 - (14(-65π/2)cos(-65π/2) / 14(cos(-65π/2) - (-65π/2)sin(-65π/2)))

≈ -4.442882937

Now, the difference |x_5 - x_4| ≈ 6.283185307 is smaller than the desired tolerance. We can consider this as our final approximation of the x-coordinate.

To find the corresponding y-coordinate, evaluate f(x_5):

f(-4.442882937) ≈ -60.613310838

Therefore, the absolute maximum value of the function f(x) = 14x cos(x) within the interval 0 ≤ x ≤ π is approximately -60.613311.

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The distance from the origin is determined by the position of the object, which cannot be determined from the graph of velocity.

The graph shows the velocity of an object as a function of time. When the velocity is positive, the object is moving to the right, and when the velocity is negative, the object is moving to the left. The velocity is decreasing because the slope of the graph is negative, but it is not necessarily moving towards the origin.

The distance from the origin is determined by the position of the object, which cannot be determined from the graph of velocity.The object is moving towards the origin means the displacement from the origin is decreasing.

As time passes by, the object is moving towards the origin at a decreasing velocity. As the velocity is decreasing, the slope of the line decreases, and eventually the velocity becomes zero when the object reaches the origin.

The graph is showing the velocity of an object as a function of time. When the velocity is positive, the object is moving to the right, and when the velocity is negative, the object is moving to the left. The velocity is decreasing because the slope of the graph is negative, but it is not necessarily moving towards the origin.

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The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

9(9b+2)

Step-by-step explanation:

The words 'the sum of' mean parenthesis.

And so 9 would be outside the parenthesis and then 9b and 2 would be inside.

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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To deflate a spherical balloon with a constant rate of 11 cm/min, the rate at which air must be removed depends on the radius of the balloon. When the radius is 5 cm, the rate at which air must be removed can be determined.

The rate at which the radius of the balloon decreases is given as 11 cm/min. We can use the derivative to relate the rate of change of the volume to the rate of change of the radius. The formula for the volume of a sphere is V = (4/3)πr^3, where V represents the volume and r represents the radius.

Taking the derivative of the volume equation with respect to time, we get dV/dt = 4πr^2(dr/dt), where dV/dt represents the rate of change of volume and dr/dt represents the rate of change of the radius.

Since we are given that dr/dt = -11 cm/min, we can substitute this value into the equation and find the rate at which air must be removed when the radius is 5 cm. Evaluating the expression for dV/dt when r = 5 cm will give us the rate at which air must be removed at that specific point.

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When the radius is 5 cm, air must be removed from the balloon at a rate of -\(440π cm^3/min\) (or approximately -\(1381.55 cm^3/min\)). The negative sign indicates that air is being removed from the balloon.

To determine the rate at which air must be removed when the radius of the spherical balloon is 5 cm, we can use the formula for the volume of a sphere:

V = (\(4/3)πr^3\)

Differentiating both sides of the equation with respect to time (t), we get:

dV/dt = \((4/3)π(3r^2)(dr/dt)\)

Where:

dV/dt represents the rate of change of volume with respect to time (which is the rate at which air must be removed),

r is the radius of the balloon, and

dr/dt is the rate at which the radius is changing.

Given that dr/dt = -11 cm/min (negative sign indicating the decrease in radius) and r = 5 cm, we can substitute these values into the equation:

\(dV/dt = (4/3)π(3(5^2))(-11)\)

Simplifying:

\(dV/dt = (4/3)π(3)(25)(-11)\)

\(dV/dt = -440π cm^3/min\)

Therefore, when the radius is 5 cm, air must be removed from the balloon at a rate of -\(440π cm^3/min\) (or approximately -\(1381.55 cm^3/min)\). The negative sign indicates that air is being removed from the balloon.

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Answer:

22: 2

23: -7

25: 6

26: 3

Let me know if this helped by clicking the help button or if not please comment with issues and I'll get right back to you!

Step-by-step explanation:

For 22: 2 * 2 * 2 = 8, therefore, 2

For 23:  -7 * -7 * -7 = -343. This results in a negative number because there is is an odd number of negative numbers (follows the odd-even negative rule).

For 25: Multiply both sides of the equation by -1/2 to get z^3 = 216. The cube root of 216 is 6

For 26: Add 11 to both sides to get 2h^3 = 54. Divide both sides by 2 to get h^3 = 27. Cube root of 27 is 3.

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The triangle JLK is transformed to J''K''L'' by a rotation of 90° anticlockwise and a translation of -2 units

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔJKL

Now , the coordinates of the triangle JKL is

J ( 2 , -4 ) , K ( 5 , -4 ) and L ( 2 , -2 )

And , the transformed triangle be represented as Δ J''K''L

Now , the coordinates of the triangle J''K''L'' is

J'' ( 2 , 2 ) , K'' ( 2 , 5 ) and L'' ( 0 , 2 )

The triangle JKL is first rotated by an angle of 90° counterclockwise rotation: (x,y) becomes (-y,x) to form J'K'L'

So , substituting the values in the equation , we get

The coordinates of the triangle J'K'L' is

J' ( 4 , 2 ) , K' ( 4 , 5 ) and L' ( 2 , 2 )

Now , when the triangle is translated -2 units to up , we get

So , the coordinates of the triangle J''K''L'' is

J'' ( 2 , 2 ) , K'' ( 2 , 5 ) and L'' ( 0 , 2 )

Hence , the transformed triangle is going through a rotation of 90° counterclockwise and a translation of -2 units

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Answer:

Either

90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y

or

90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y

Step-by-step explanation:

The answer above is correct.

Answer:

x=7

Step-by-step explanation:

please you can rate as brainliest

a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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The probability of the family having 8 girls is very small, as it is 1/256. This is equivalent to the chance of flipping a coin with heads 8 times in a row.

The probability of a family having 8 girls is incredibly low. This is because the probability of each child being a girl is the same as the probability of each child being a boy, so the odds of all 8 children being girls is 1/2 to the power of 8, or 1/256. This is equivalent to the odds of flipping a coin 8 times and getting heads every time.

However, if it is known that the family has at least one girl, the probability of the family having 8 girls increases slightly. This is because the probability of at least one girl existing eliminates some of the possible outcomes of the family having all boys.

Since there are 8 total children, and 7 of them must be girls in order for the family to have 8 girls, the probability of the family having 8 girls can be calculated by taking the probability of one girl (1/2) and then multiplying it by itself 7 times (1/2 to the power of 7). This gives a probability of 1/128, which is twice as likely as the probability of the family having 8 girls without knowing that at least one girl exists.

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Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

34x+95=3(14x+9)

We move all terms to the left:

34x+95-(3(14x+9))=0

We calculate terms in parentheses: -(3(14x+9)), so:

3(14x+9)

We multiply parentheses

42x+27

Back to the equation:

-(42x+27)

We get rid of parentheses

34x-42x-27+95=0

We add all the numbers together, and all the variables

-8x+68=0

We move all terms containing x to the left, all other terms to the right

-8x=-68

x=-68/-8

x=8+1/2