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For the given values of SSb, SSW, dfb, and dfw, the value for the mean squares between (MSb) is 7.

To find the mean squares between (MSb), you need to divide the sum of squares between (SSb) by the corresponding degrees of freedom (dfb).

MSb = SSb / dfb

Using the values provided:

SSb = 21

dfb = 3

MSb = 21 / 3

MSb = 7

Therefore, the value for the mean squares between (MSb) is 7.

Mean squares, also known as the mean squared error (MSE), is a statistical measure used to assess the average squared difference between the predicted and actual values in a dataset.

It is commonly used in various fields, including statistics, machine learning, and data analysis, to evaluate the performance of a prediction model or to quantify the dispersion or variability of a set of values.

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The analysis of the matrices and vectors components indicates;

a) coa(A) = 1

b) <A, B> = 37

c) ||u|| ≈ 91.79

A vector is an mathematical object has magnitude and direction. Vector quantities can be represented by an ordered list of numbers, representing the components of the vector.

a) The cosine of the angle between the vectors, can be obtained from the dot product formula as follows;

cos(A) = (5)·(0) + (0)·(0) + (82)·(1) = 82

The magnitudes of the vectors are; ||u|| = √(5² + 0² + 82²) = 82

||v|| = √(0² + 0² + 1²) = 1

cos(A) = (u·v)/(||u||·||v||) = 82/82 = 1

cos(A) = 1

b) The inner product of the matrices;  [tex]A=\begin{bmatrix} 4&7 \\ 8& 4 \\\end{bmatrix}[/tex] and [tex]B = \begin{bmatrix}5 &-1 \\ 3&0 \\\end{bmatrix}[/tex] can be found from the sum of the product of the corresponding entries of the matrices as follows;

<A, B> = 4 × 5 + 7 × (-1) + 8 × 3 + 4 × 0 = 37

The inner <A, B> = 37

c) The norm of a vector is defined as the square root of the sum of the squares of the components of the vector, therefore;

||u|| = √(|2 + 26i|² + |1 + 88i|² + |0|²)

|2 + 26i| = √(2² + 26²) = √(680)

|1 + 88i| = √(1² + 88²) = √(7745)

||u|| = √((√(680))² + (√(7745))² + (0)²) = √(8425) ≈ 91.79

The norm of the vector is ||u|| ≈ 91.79

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Answer:

212, pretty sure

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 3x - 5 → (1)

6x - 2y = 10 → (2)

Substitute y = 3x - 5 into (2)

6x - 2(3x - 5) = 10

6x - 6x + 10 = 10 ( subtract 10 from both sides )

6x - 6x = 0 , that is

0 = 0 ← True

This indicates the system has infinitely many solutions → D

Answer:

43

Step-by-step explanation:

43 is the most the lowest number while the others are around the same range

Hope this helps! Pls mark brainliest!

Answer:

x = 30

since 3x = 90 degrees, then x = 90/3 = 30

Step-by-step explanation:

The slope (m) of the regression line can be estimated as approximately 0.6, while the y-intercept (b) can be estimated as around 2.5.

Upon analyzing the graph, we can make a rough estimate for the slope (m) and y-intercept (b) of the regression line. The slope represents the rate of change between the independent variable (x) and the dependent variable (y), while the y-intercept indicates the value of y when x is zero.

From the graph, we observe that the regression line appears to have a positive slope, suggesting a positive correlation between the variables. By estimating the change in y divided by the change in x for two points on the line, we can approximate the slope. In this case, considering the rise and run between two points, the slope (m) is approximately 0.6.

The y-intercept (b) can be determined by identifying the point where the regression line intersects the y-axis. In this graph, the intersection seems to occur around the y-value of 2.5, providing us with an estimated y-intercept.

To gain a more precise understanding of the regression line's characteristics and verify these estimates, it is recommended to utilize statistical techniques such as linear regression analysis. These techniques can provide accurate slope and intercept values, along with additional statistical measures like the coefficient of determination (R-squared) to assess the line's goodness of fit.

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Step-by-step explanation:

REMEMBER D/S×T (triangle)

therefore, finding time

D/S

80/24

make sure to press the degrees button on your calculator

3 hours and 20 minutes

Answer:

5 ³⁄₁₀ or ⁵³⁄₁₀

Step by step explanation:

Answer:

[tex]5 \frac{3}{10}[/tex]

Answer:

Step-by-step explanation:

Answer:

1. B

2. J

3. C

4. F

5. C

6. J (I think, Sorry if u get it wrong)

Step-by-step explanation:

Thank me later lol.

Answer:

A(x) = 3x² + 43x + 14

Step-by-step explanation:

Area of a rectangle = length × width

length = x + 14

width = 3x + 1

Area of a rectangle = length × width

= (x + 14)(3x + 1)

= 3x² + x + 42x + 14

= 3x² + 43x + 14

express the area of each rectangle as a single polynomial in terms of x.

A(x) = 3x² + 43x + 14

Answer:

ok (tho i advise you use brainly for education purposes only :)

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

bc ik

Answer:

the right answer is 1/12

Step-by-step explanation:

78/0000

67

777

7654

For the quadrature formula, the degree of precision is 2. The precision level of a quadrature formula indicates the maximum degree of polynomial functions that the formula can accurately integrate without any error. So, option b is the correct answer.

In this case, the error term of the quadrature formula is given as (h²/3) f(3)(ξ), where h represents the step size and f(3)(ξ) represents the third derivative of the function being integrated.

To determine the degree of precision, we need to find the highest power of h in the error term. Since the error term is (h²/3) f(3)(ξ), the highest power of h is 2.

Therefore, for the quadrature formula whose error term is (h²/3) f(3)(ξ), the degree of precision is 2.

Therefore the correct answer is option b.2.

The question should be:

The degree of precision of a quadrature formula whose error term is (h²/3) f(3)(ξ) is:

a. 1

b. 2

c. 3

d. 4

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Step-by-step explanation:

Use ToA method (tan = opposite / adjacent)

For this question we have to use pythagoras' Theorem to find the adjacent side.

take a as the length of the adjacent side.

given b = 12

c = 13

By pythagoras' Theorem,

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {13}^{2} - {12}^{2} \\ {a}^{2} = 169 - 144 \\ {a}^{2} = 25 \\ a = \sqrt{25} \\ = 5[/tex]

Now we can find tan(x)

tan(x) = Opposite / adjacent

[tex] = \frac{12}{5} [/tex]

Answer:

1) 20.

2) 30.

3) 47.

4) 86.

5) 27.

Step-by-step explanation:

The order of operations consist in, first, evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction. Having this in mind:

1) (28 ÷ 4) + 3 + (10 - 8) × 5

7 + 3 + 2 × 5

7 + 3 + 10

20

2) 12 - 5 + 6 × 3 + 20 ÷ 4

12 - 5 + 18 + 5

30

3) 36 ÷ 9 + 48 - 10 ÷ 2

4 + 48 - 5

47

4) 10 + 8 × 90 ÷ 9 - 4

10 + 80 - 4

86

5) 8 × 3 + 70 ÷ 7 – 7

24 + 10 - 7

27

A = $125.73

I = A - P = $49.30

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 21.5%/100 = 0.215 per year.

Solving our equation:

A = 76.43(1 + (0.215 × 3)) = 125.72735

A = $125.73

The total amount accrued, principal plus interest, from simple interest on a principal of $76.43 at a rate of 21.5% per year for 3 years is $125.73.

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

hope i helped in some way! keep pushing you got this

In logic, an inference is a process of deriving logical conclusions from premises known or assumed to be true. The term derives from the Latin term, which means "bring in." An inference is said to be valid if it's based upon sound evidence and the conclusion follows logically from the premises.

hope this helped <3

Answer:

The pyramid with the greater volume has 5in^3 more sand

Step-by-step explanation:

Given

Pyramid A

[tex]B = 25in^2[/tex] -- Base Area

[tex]h = 9in[/tex] --- height

Pyramid B

[tex]B = 30in^2[/tex]

[tex]h = 7in[/tex]

See attachment for pyramids

The volume of a square pyramid is:

[tex]V = \frac{1}{3}Bh[/tex]

First, calculate the volume of pyramid A

[tex]V_A = \frac{1}{3} * 25in^2 * 9in[/tex]

[tex]V_A = 25in^2 * 3in[/tex]

[tex]V_A = 75in^3[/tex]

Next, the volume of pyramid B

[tex]V_B = \frac{1}{3} * 30in^2 * 7in[/tex]

[tex]V_B = 10in^2 * 7in[/tex]

[tex]V_B = 70in^3[/tex]

To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes

[tex]d = |V_B - V_A|[/tex]

[tex]d = |70in^3 - 75in^3|[/tex]

[tex]d = |- 5in^3|[/tex]

[tex]d = 5in^3[/tex]

If the average screen time for students at this middle school is 2 hours, the option that is more likely is option C: that a random sample of 40 students will get more than 3 hours of screen time daily, on average, compared to a random sample of 30 students.

To determine the likelihood, consider sampling variability and sample size.

If we randomly sample 30 middle school students, the sample mean is likely to be closer to the population mean of 2 hours.

Sample size of 30 is small, increasing chances of random variation impacting sample mean. If one can select a larger sample of 40 students, the population mean estimate is said to be  more accurate and less affected by fluctuations.

A sample of 40 students may have an average screen time of over 3 hours per day.

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Answer:

756

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

First, we find the scale factor from the blue solid to the red solid.

scale factor = 6/4 = 3/2

The ratio of areas is the square of the scale factor:

ratio of areas = (3/2)^2 = 9/4

volume of red solid = volume of blue solid * ratio of areas

volume of red solid = 336 m^2 * 9/4 = 756 m^2

Answer: S = 756 m^2

Answer:

30

Step-by-step explanation: Because each batch has 18 total m&ms and there are 8 in each batch minus and then multiply.

The number of packages of plain M&M's on the shelf could be any multiples of 5.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of the number of packages of peanut M&M's to the total number of packages on the shelf = 8 : 18

That is, if there are total of 18 packages, 8 are peanut M&M's.

Number of plain M&M's out of 18 total packages = 18 - 8 = 10.

So,

Ratio of peanut M&M's to plain M&M's = 8 : 10

                                                                = 4 : 5

This indicates that, for a constant x,

Number of peanut M&M's = 4x

Number of plain M&M's = 5x

So the number of packages of plain M&M's on the shelf could only be the multiples of 5.

So it could be 5, 10, 15, 20, 25, 30, .......

Hence the number of plain M&M's on the shelf could be 5, 10, 15, 20, 25, 30, ......

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The fishing weight must have a minimum speed of approximately 1.98 m/s to maintain a circular path with a 0.20 m long string.

In order to maintain a circular path, the centripetal force (Fc) must be equal to or greater than the weight force (mg) of the fishing weight. The centripetal force is given by the equation Fc = (mv^2) / r, where m is the mass of the fishing weight, v is the speed, and r is the radius (0.20 m).

To find the minimum speed required, we can equate the centripetal force and weight force:

(mv^2) / r = mg

Simplifying the equation:

v^2 = rg

v = sqrt(rg)

Substituting the values of r (0.20 m) and g (acceleration due to gravity, approximately 9.8 m/s^2):

v = sqrt(0.20 * 9.8)

v ≈ 1.98 m/s

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The slope of the graph of the total cost function represents the rate of change of the total cost with respect to the number of golf balls produced each month, the total cost function is given by C(x) = 3390 + 0.48x.

The coefficient of x in the equation represents the slope of the graph. Therefore, the slope of the total cost function is 0.48.

In this case, the marginal cost is equal to the derivative of the cost function with respect to x. Taking the derivative of C(x) = 3390 + 0.48x with respect to x, we get:

C'(x) = 0.48

Therefore, the marginal cost for the product is 0.48.

The cost of each additional ball that is produced in a month is equal to the marginal cost. From the previous calculation, we determined that the marginal cost is 0.48. Therefore, the cost of each additional ball produced in a month is $0.48.

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The probability that the Yankees would score fewer than 5 runs when they win the game is 0.32.

Let the events be A: Yankees win a game

B: Yankees score 5 or more runs

C: Yankees lose a game

D: Yankees score fewer than 5 runs

We are given the following probabilities:

P(A) = 0.56 (probability of winning)

P(B) = 0.46 (probability of scoring 5 or more runs)

P(C and D) = 0.32 (probability of losing and scoring fewer than 5 runs)

We want to find the probability of scoring fewer than 5 runs when they win the game, which is P(D|A).

We can use Bayes' theorem to find this probability:

P(D|A) = P(A and D) / P(A)

Using the definition of conditional probability:

P(D|A) = P(D and A) / P(A)

We know that P(D and C) = P(C and D), as both events represent the same outcome.

Using the fact that the sum of the probabilities of mutually exclusive events is equal to 1:

P(D and C) + P(B and C) = 1

Rearranging the equation:

P(D and C) = 1 - P(B and C)

Now, let's find P(D and A):

P(D and A) = P(D and A and C) + P(D and A and not C)

P(D and A) = P(D and A and C) + 0

P(D and A) = P(C and D and A)

Substituting the probabilities we have:

P(D|A) = P(C and D) / P(A)

P(D|A) = P(C and D) / P(C and D) + P(B and C)

P(D|A) = 0.32 / (0.32 + P(B and C))

We need to find P(B and C), which we can calculate using the given probabilities:

P(B and C) = P(C and B)

P(B and C) = P(C) - P(C and D)

P(B and C) = 1 - P(C and D)

P(B and C) = 1 - 0.32

P(B and C) = 0.68

Now we can substitute this value into the equation:

P(D|A) = 0.32 / (0.32 + 0.68)

P(D|A) = 0.32 / 1

P(D|A) = 0.32

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