Given are five observations for two variables, and y. X; Yi The estimated regression equation for these data is ŷ = 0.1 +2.7x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal

Answer:

60+9h=375

Step-by-step explanation:

60+9h=375 just use math

The equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given statement is "Sixty more than 9 times a number is 375".

Since the number is h, the statement written in mathematical form is:
9h + 60 = 375

Hence, the equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.

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Answer:

50 pounds.

Step-by-step explanation:

25000 / 500 = 50 pounds.

Answer:

50

Step-by-step explanation:

25,000 / 500 = 50

DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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Answer:

0.8,0.91,1/10,3/100

0.6,0.9,0.21,0.35,7/10,11/100

0.2,0.5,1/10,0.44,8/100

Step-by-step explanation:

Answer:

0.8,0.91,1/10,3/100

0.6,0.9,0.21,0.35,7/10,11/100

0.2,0.5,1/10,0.44,8/100Step-by-step explanation: IVE DONE THIS BEFORE TOO

Answer: I think it’s B (25)

Step-by-step explanation:

Answer:

Using the sine rule,

36/sin(50)=20/sin(R)

46.9=20/sin(R)

Sin(R)=46.9/20=0.43

R=Sin¯¹(0.43)=25.2°=25°

R=25°

The height, ab, is 6 cm

The volume of the pyramid is 100 cm3.

we know that

ABC is a right triangle and we know that

∠ACB=45°

AC=hypotenuse------ 6√2 cm

sin 45=AB/AC----- AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

AB=6 cm

we already know that the formula for getting the volume of a pyramid

volume of the pyramid=(1/3)*Area of the base*height

We will now Substitute all the values in the formula;

area of the base=50 cm²

height=6 cm

so

volume of the pyramid=(1/3)*50*6---->

1/3*300

300/3

1=00 cm³

volume=100 cm³

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Answer:

6, 100

Step-by-step explanation:

right on edge

Master Theorem Version 2 subsumes Master Theorem Version 1, making the latter redundant and unnecessary.

Master Theorem Version 2, on the other hand, has only three cases, but these are designed to cover all possible scenarios.

There is no need for an extra answer case, as the theorem covers all possible growth rates of the subproblems and the combining factor.

This makes Master Theorem Version 1 redundant, as it has a gap that needs to be filled with additional analysis, while Master Theorem Version 2 covers all cases.

In terms of how the remaining answer cases align, both versions of the theorem have the same answer for the cases they share.

The difference is that Master Theorem Version 2 includes additional cases that were not covered by Version 1.

This means that Master Theorem Version 2 is a more comprehensive and complete tool for analyzing the time complexity of recursive algorithms.

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The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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The largest binary code is on 4 bits, the maximum possible number is binary 1111 or 15. And the maximum decimal number that can be represented with 1 byte is 255 or 11111111.

Binary code:

In math, binary code refers a coding system using the binary digits 0 and 1 to represent a letter, digit, or other character in a computer or other electronic device.

Given,

Here we need to find the largest binary code.

Here we know that, for each digit d in a binary number, starting from the rightmost digit, the value in decimal corresponding to this digit is written as,

=> d2ⁿ + d*2ⁿ⁻¹ .... 0, where n is its position.

For, example would be converting 11001:

Here we start from the right

=> 1*2⁰ + 0*2¹ + 0*2² + 1*2³ + 1*2⁴ = 25.

Therefore, if we have 8 bits, the largest number would be 11111111, That has the value of 255, which is the same result as the conversion above (1+2+4+8+16+32+64+128).

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IQ scores have a mean of 100 and a standard deviation of 15. Greg has an IQ of 127. (a) The difference between Greg's IQ and the mean is 27. (b) Greg's IQ score of 127 corresponds to a z-score of approximately 1.8.

(a) The difference between Greg's IQ and the mean IQ can be calculated by subtracting the mean from Greg's IQ score. In this case, the mean is 100 and Greg's IQ is 127. Therefore, the difference is:

Greg's IQ - Mean IQ = 127 - 100 = 27

(b) To convert Greg's IQ score to a z-score, we can use the formula:

z = (x - mean) / standard deviation

where x is the individual score, mean is the population mean, and standard deviation is the population standard deviation.

In this case, Greg's IQ score is 127, the mean is 100, and the standard deviation is 15. Plugging these values into the formula, we get:

z = (127 - 100) / 15 = 27 / 15 ≈ 1.8

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Answer:

105 feet

Step-by-step explanation:

Got it right

Answer:

105

Step-by-step explanation:

correct

Answer:

D

Step-by-step explanation:

They all move 1 unit up.

The mapping notation essentially tells you, what you do to each point to get the image point.

In this case (x,y)→(x,y+1) is telling you, for any given coordinate on the original, you add 1 to its y coordinate. Adding 1 to a y coordinate moves it up one unit.

The answer to this problem is 35 :)

Answer:

35

Step-by-step explanation:

(-2,-1) to (3,-1) is 5 units which is the length, and (-2,6) to (-2,-1) is 7 units which is the height, so using the formula for perimeter: length x height, 5 x 7 = 35

Answer:

True

Step-by-step explanation:

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay.

Answer:

30 mcq and 8 word problems

plz mark as brainliest

(a).

36 players = 100%

? = 10%

(36×10) / 100%

= 3.6 gloves for left hand players.

Explanation :- Object needs to be in full form whereas 3.6 would be written as only 3 gloves in full.

Ans: Yes. Total gloves were enough.

(b).

36player gloves = 100%

7 lefties = ?

=700/36 = 19.4%

=19.4444444 as recurring would be,

19 % (nearest to whole percent) DONE ✅.

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

The critical value for constructing a 98% confidence interval for a mean from a sample size of n = 15 is 2.602.

The range of values that is likely to contain the population parameter with a specific degree of certainty is known as the confidence interval. It is the range of values in which a population parameter is predicted to exist based on a sample of data. In statistical research, confidence intervals are frequently used to indicate the accuracy of an estimate or the variability of a particular statistic.

The critical value is the number used to determine if the null hypothesis should be accepted or rejected in a statistical hypothesis test. It is frequently determined using a table of critical values that corresponds to a specific level of significance and degrees of freedom.

The significance level is typically established at 5% or 0.05.

The formula to compute the critical value for a confidence interval is as follows:

Critical value = Zα/2, where Zα/2 is the Z-score associated with a level of significance of α/2.

In this case, the critical value for constructing a 98% confidence interval for a mean from a sample size of n = 15 is 2.602.

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The critical value for constructing a 98% confidence interval for a mean from a sample size of n = 15 can be found using the t-distribution table. Here are the steps to find the critical value:

1. Determine the degrees of freedom (df) for your sample size: df = n - 1 = 15 - 1 = 14.
2. Identify the confidence level: 98%.
3. Find the corresponding t-value in the t-distribution table for 98% confidence level and 14 degrees of freedom.

Upon looking up the t-distribution table, the critical value (t-value) for a 98% confidence interval with 14 degrees of freedom is approximately 2.977.

So, the critical value for constructing a 98% confidence interval for a mean from a sample size of n = 15 is 2.977.

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Tο make a wοοden lid fοr a decοrative bοx with the given dimensiοns, yοu will need tο cut a rectangular piece οf wοοd with dimensiοns 10 1/2 inches by 12 1/2 inches. This will allοw fοr the 2 inch deep sides tο be added tο the lid.

In a twο-dimensiοnal space, area is a unit used tο describe hοw big a surface οr regiοn is. It is measured in terms οf square measurements like square inches (in2), square metres (m2), οr square feet (ft2). A shape's area can be calculated using a variety οf fοrmulas, including multiplying the shape's length by its breadth.

The area οf a rectangle, fοr instance, can be calculated using the fοrmula A = l w, where A denοtes the area and l, w, and w are the length and breadth respectively. Geοmetry, physics, architecture, and building are just a few οf the fields in which the cοncept οf area is applied.

Tο calculate the dimensiοns οf the rectangular piece οf wοοd needed fοr the lid, yοu need tο add twice the depth οf the sides (2 inches) tο each οf the width and length οf the lid:

Width οf wοοden lid = 6 1/2 inches + 2 inches + 2 inches = 10 1/2 inches

Length οf wοοden lid = 8 1/2 inches + 2 inches + 2 inches = 12 1/2 inches

Therefοre, the rectangular piece οf wοοd needed fοr the lid shοuld be 10 1/2 inches by 12 1/2 inches.

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Complete Question:

Wendell wants to make a wooden lid for a decorative box.

The lid needs to be 6 1/2inches wide and 8 1/2inches long with sides 2 inches deep.

Part A

Find the area of wood that Wendell will need to make the lid.

Drag numbers to complete the measurements.

Each tile may be used once or not at all.

The integral ∫(5x² + 6x - 1) / ((2x - 1)(x + 2)) dx can be evaluated using partial fraction decomposition. After determining the values of A, B, and C, the integral can be written as A/(2x - 1) + B/(x + 2) + Cx/(2x - 1), and then integrated term by term.

To evaluate the integral ∫(5x² + 6x - 1) / ((2x - 1)(x + 2)) dx, we can use partial fraction decomposition to split the integrand into simpler fractions.

The denominator can be factored as (2x - 1)(x + 2), indicating that the partial fraction decomposition will have the following form: A/(2x - 1) + B/(x + 2) + Cx/(2x - 1).

To determine the values of A, B, and C, we multiply both sides of the equation by the least common denominator, which is x(2x - 1)(x + 2). This gives us the equation:

5x² + 6x - 1 = A(x + 2) + B(2x - 1) + Cx(x + 2).

Expanding and rearranging, we obtain:

5x² + 6x - 1 = (2A + B + C)x² + (4A - B + 2C)x + 2A - B.

By comparing the coefficients of corresponding terms on both sides of the equation, we get the following system of equations:

2A + B + C = 5  (coefficient of x²)

4A - B + 2C = 6  (coefficient of x)

2A - B = -1      (constant term)

Solving this system of equations, we find A = 1, B = -4, and C = 2.

Substituting these values back into the partial fraction decomposition, the integral becomes:

∫(5x² + 6x - 1) / ((2x - 1)(x + 2)) dx = ∫(1/(2x - 1) - 4/(x + 2) + 2x/(2x - 1)) dx.

Now we can integrate each term separately:

∫(1/(2x - 1)) dx = ln|2x - 1| + C1,

∫(-4/(x + 2)) dx = -4ln|x + 2| + C2,

∫(2x/(2x - 1)) dx = ∫(1 - 1/(2x - 1)) dx = x - ln|2x - 1| + C3.

Combining the integrals, we have:

∫(5x² + 6x - 1) / ((2x - 1)(x + 2)) dx = ln|2x - 1| - 4ln|x + 2| + x - ln|2x - 1| + C.

Simplifying, we get:

∫(5x² + 6x - 1) / ((2x - 1)(x + 2)) dx = x - 3ln|x + 2| + C.

Therefore, the integral evaluates to x - 3ln|x + 2| + C.

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Perimeter of square

P = a²

P = 4²

P = 16 cm

Perimeter of circle

P = 2πr

P = 2 × π × 4

P = 8π

P = 8 × 3.14

P = 25.12 cm

so, the total parimeter of figure is

Pₜₒₜₐₗ = 16 + 25.12

Pₜₒₜₐₗ = 41.12 cm

Answer:

Step-by-step explanation:

CIRCLE PERIMETER

formula = 2 π r

2 * 3.14 * 4 =

25.12u

Total perimeter

25.12 + 4 + 4 + 4 + 4 =

41.12u

Answer:

180

Step-by-step explanation:

The two angles on the line should add up to 180! Because a straight line is 180 degrees!

Logarithm base  8  of  512  is  3

Answer 3

Answer

The daughter is 30 years old

Step-by-step explanation:

3/5 times 50 equals 30

HOPE THIS HELPS :)

Thus, there are over 2 trillion ways for Mavis to move each counter to an adjacent square without having any of them end up in the same square.

There are several ways Mavis can move each counter to an adjacent square, but the question is how many ways can she do this without having two counters end up in the same square.

First, let's consider the top row of the board. There are 7 counters, and each counter has two adjacent squares that it can move to.

However, the counter on each end only has one adjacent square to move to. So, the total number of ways to move the counters in the top row without any of them ending up in the same square is:

2 x 2 x 2 x 2 x 2 x 2 x 1 = 64

Now, let's consider the second row. There are also 7 counters in this row, but the two end counters now have two adjacent squares to move to.

However, there is a new constraint: each counter in the second row must move to a square that is not occupied by a counter in the top row.

This means that the first and last counters in the second row each have three possible squares to move to, while the other five counters each have two possible squares to move to.

So, the total number of ways to move the counters in the second row without any of them ending up in the same square is:

3 x 2 x 2 x 2 x 2 x 2 x 3 = 288

We can continue this process for each row, taking into account the constraints of not having any counters end up in the same square and not moving to squares already occupied in the previous row.

In the end, the total number of ways Mavis can move the counters to adjacent squares is the product of the number of ways for each row:

64 x 288 x 288 x 288 x 288 x 288 x 64 = 2,051,717,760,000

So, there are over 2 trillion ways for Mavis to move each counter to an adjacent square without having any of them end up in the same square.

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There are 4 integers between 20 and 30 that have a prime factorization with exactly 3 factors that are not necessarily unique.

To find the integers with a prime factorization having exactly 3 factors, we need to look for numbers that can be expressed as the product of two distinct prime numbers.

Step 1: Identify the prime numbers between 20 and 30. The prime numbers in this range are 23, 29.
Step 2: Determine all possible pairs of distinct prime numbers. In this case, we have only one pair: (23, 29).
Step 3: Calculate the products of these pairs. The products of (23, 29) are 667 and 667.
Step 4: Count the integers between 20 and 30 that match these products. We have two integers that match, which are 21 and 27.
Step 5: Check if these integers have exactly 3 factors. The factors of 21 are 1, 3, 7, and 21 (a total of 4 factors), so it does not meet the criteria. The factors of 27 are 1, 3, 9, and 27 (a total of 4 factors), so it also does not meet the criteria.

Therefore, there are no integers between 20 and 30 with a prime factorization having exactly 3 factors that are not necessarily unique.

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Two linear equations in two variables can be solved using the substitution techniques, graphical method or by the elimination method.

Let us consider any two real world linear equations in two variables.

x - y = 0

x + y = 4

Now let us first solve them by substitution method:

equation 1 can be written as : x = y ,

Now we substitute this value of x in the second equation:

x + y = 4

or,  y + y = 4

or, 2y = 4

or, y = 2

At x = 2 , y = 2. Hence the solution is (2,2)

Now let us solve by elimination method:

adding equation 1 and 2 we get:

x - y = 0

x + y = 4

2x = 4

or, x =2

at x=2 , y = 4-2 =2 Hence the solution is (2,2)

Now we will solve the equations graphical method.

In the graph attached below we can clearly see that the straight line representation of the two equations intersect at the point (2,2)

Hence the solution is (2,2) .

Therefore any linear equation in 2 variables can be solved by substitution , elimination and graphically.

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