ESTION 3 Solve the 3x-7​

Answer:

4.472135955 , is the answer. simplified to two decimal places it will be 4.47

Answer: 108

Step-by-step explanation: bottom figure=60 because 10x3x2=60

top one=48 4x4x3 so 48 60+48=108

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(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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Answer:The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a cone is S=πr2+πrl, where r is the radius of the base and l is the slant height.

Step-by-step explanation:

Answer:

A cone is 360 triangles rotated in a circle, so find the hypotenuse of the triangle and multiplying it by 360 you would get the surface area of the cone

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

35.66 degrees

Step-by-step explanation:

see attached picture

Paying a bill amount through the mail without check is convenient and secure, as it allows for payment without having to visit a physical location or use a credit or debit card.

1. Paying a bill amount through the mail without check is a convenient and secure way of making payments.

2. It allows for payment to be made without having to visit a physical location to do so.

3. It also allows for payment to be made without having to use a credit or debit card.

4. Therefore, an advantage of paying a bill through the mail without check is that it is convenient and secure.

Paying a bill through the mail without check is convenient and secure, as it allows for payment without having to visit a physical location or use a credit or debit card.

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Answer:

lateral surface area of cone =πrl

Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

Answer:

A) 3, 4, 5, 6, 7, 8

Step-by-step explanation:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8

The probability that the life span of a randomly selected TSI Electronics monitor is more than 19,800 hours is 0.2119 (or 21.19%), given a normal distribution with a mean of 19,000 hours and a variance of 1,000,000.

We are given that the life spans of monitors manufactured by TSI Electronics follow a normal distribution with a mean of 19,000 hours and a variance of 1,000,000.

To find the probability that the life span of a monitor is more than 19,800 hours, we need to standardize the value using the standard normal distribution. The standardized value (z-score) can be calculated as follows:

z = (x - μ) / σ

where x is the value we want to standardize (19,800 hours), μ is the mean (19,000 hours), and σ is the standard deviation (square root of the variance = square root of 1,000,000 = 1000).

Substituting the given values, we get:

z = (19,800 - 19,000) / 1000 = 0.8

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected monitor will have a life span more than 19,800 hours as:

P(Z > 0.8) = 0.2119 (rounded to four decimal places)

Therefore, the probability that the life span of a monitor will be more than 19,800 hours is 0.2119 (or 21.19%).

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Answer:

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

12^2+5^2=169

sqrt 169 =13

Answer:

13

Step-by-step explanation:

Use Pythagorean Theorem (\(a^{2}\) + \(b^{2}\) = \(c^{2}\)):

side a = 5

side b = 12

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

= \(5^{2}\) + \(12^{2}\) = 169

\(\sqrt{169}\) = 13

I hope this helps :)

A scatterplot with a strong nonlinear relationship can have a correlation coefficient close to 0, but still have a strong relationship between the variables.

For example, consider a scatterplot where the points follow a curved pattern, such as a parabola or a sine wave. In such a case, the correlation coefficient may be close to 0, indicating no linear relationship between the variables, but there is still a strong nonlinear relationship between them.

In general, it is important to consider the shape and pattern of the scatterplot, in addition to the correlation coefficient, when assessing the relationship between two variables. A scatterplot with a weak correlation coefficient and a random scatter of points may indicate no relationship, while a scatterplot with a strong nonlinear pattern may indicate a strong relationship, even if the correlation coefficient is close to 0.

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Answer:

2x0

Step-by-step explanation:

2 rounds to 2

and 0.33 rounds to 0

2x0

I understand that the answer is 0.99 which would round to 1.
But if these are the options then 2x0 is your answer.

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

P=15,625

Rate=4%

Time=3 years

CI=P(1+R/100)^T

=15,625(1+4/100)^3

=15,625*1.124864

=17576 Ans

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

b

Answer:

75% no? I feel like some numbers are missing but she'll pay 75%

The points are ( 1,0) (0,1) .

a.) We seek the coordinates on the unit circle that represent an angle of 0 degrees.

The points on the unit circle are often provided by,

( cosθ, sinθ )

In order to do so,

θ= 0

to acquire,

(cos(0),sin(0))

(1,0)

b. With regard to the location on the unit circle where the angle is 90 degrees,

We swap out

θ = 90

to acquire,

(cos(90),sin(90))

This is condensed to, (0,1)

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Answer: 1,0

is the actual answer

Answer:

Step-by-step explanation:

You have to apply the Pythagorean Theorem here

Diagonal Route ^2 = 60^2 + 80^2

D^2 = 3600 + 6400 = 10 000

D = 100

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The measure of angle ABD is 118 degree.

An equation is an expression that shows the relationship between two or more numbers and variables.

WE have been given that the angles are;

(3x +10)° and 2x

WE need to solve the value of x then we use the linear pair;

(3x +10)° + 2x = 180

Solving;

(3x +10)° + 2x = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 36

Angle ABD = (3x +10)° = 3(36) + 10

= 108 + 10

= 118

Hence, the measure of angle ABD is 118 degree.

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Answer:

last choice

Step-by-step explanation:

x² + 10x + 24 = 0

For the middle term coefficient of 10, we need (10/2)² = 5² = 25.

x² + 10x + 25 - 1 = 0

x² + 10x + 25 = 1

(x + 5)² = 1

Answer: last choice

Answer:

Table four.

Step-by-step explanation:

You can rule out the first two options right away. On the LHS you have a positive number, or at best zero. On the RHS you have a negative number. Neither can happen with real numbers.

Table three doesn't work either. In order to write the LHS as a square you need to have the sum of two squares, plus twice their product. 26 is obviously not a square, so no good.

Finally, the fourth one is correct. 25 is 5 squared, and 10x is 2 times 5 times x.

The equation of the line perpendicular to 3x+y=4 that passes through(-1,6) is  y = 1 / 3 x + 19 / 3.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the line is perpendicular to 3x + y = 4 that passes through(-1,6).

Perpendicular lines have slopes that are negative reciprocals of one another.

Therefore,

y = -3x + 4

The slope of the line will be 1 / 3.

Hence, let's find the y-intercept as follows;

using (-1, 6)

y = 1 / 3 x + b

6 = 1 / 3 (-1) + b

6 + 1 / 3 = b

b =  18 + 1/ 3

b = 19 / 3

Therefore, the equation is y = 1 / 3 x + 19 / 3

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Answer:

Step-by-step explanation:

Answer:  The model is 16.67 ft tall  16 feet, 8 inches

Step-by-step explanation:  Divide the real height by the scale.

1250÷ 75 = 16.667

This is a quick Short cut for working out the ratio x/1250 : 1/75

The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Answer: 20

Step-by-step explanation:

8x5= 40

40/2=20

Triangle formula base times height divide by two.

Answer: 20cm2

Step-by-step explanation: I researched it :)