possible values of residualconsider solving the least squares problem where which of the following vectors is a possible value of the residual ?

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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The solution of the simultaneous equation is given by x = (15 + z - 4y )/2

A system of linear algebra (or linear system) is a collection of one or more numerical solutions using the same variables. is a set of three equations with the variables x, y, and z.

The answer to a linear system is to give each variable a value that simultaneously satisfies all of its equations. The solution to the above system is given by the ordered triple that comes after.

Even though the coefficients of equations are typically real or complex figures and the solutions are sought in the same set of numbers, the theory and methods are applicable to coefficients and solutions in any field.

the given equation is 2x + 4y − z = 15

we add z to both sides

2x+4y = 15 +z

we subtract 4y from both sides

2x = 15 +z - 4y

now we divide throughout by 2

x = (15 + z - 4y )/2.

hence the value of x is (15 + z - 4y )/2

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Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.

So 38 -20= 18

Therefore,  from 2020 to 2021. The snow increased by 18 inches.

Hope this helped!

Account Compounding Interest after 6 years

1 quarterly

A1 = -$1798.42

2 monthly $

A2 = -$1798.01

3 daily $

A3 =  -$1797.96

1) An account with quarterly compounding: After 6 years, the formula to calculate the interest is:

Interest = Principal \(\times\)(1 + (rate / \(n))^{(n * t)}\) - Principal

Substituting the given values:

Principal = $2200

Rate = 3% = 0.03

n = 4 (quarterly compounding)

t = 6 years

Interest = $2200 \(\times\) (1 + (0.03 / \(4))^{(4 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0075)^{(24)}\) - $2200

Interest ≈ $401.58 - $2200

Interest ≈ -$1798.42 (rounded to two decimal places).

2) An account with monthly compounding: After 6 years, the formula remains the same, but the compounding frequency changes:

   Principal = $2200

   Rate = 3% = 0.03

   n = 12 (monthly compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(12))^{(12 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0025)^{(72)}\) - $2200

Interest ≈ $401.99 - $2200

Interest ≈ -$1798.01 (rounded to two decimal places)

3) An account with daily compounding: Using the same formula with the compounding frequency:

   Principal = $2200

   Rate = 3% = 0.03

   n = 365 (daily compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(365))^{(365 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.000082)^{(2190)}\) - $2200

Interest ≈ $402.04 - $2200

Interest ≈ -$1797.96 (rounded to two decimal places)

In all three cases, the interest earned is negative, indicating that the accounts would have lost money rather than gained interest.

This suggests that there might be an error in the calculations or the provided interest rates. It's important to verify the given information to ensure accurate calculations and resolve any discrepancies.

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The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The mixed fraction numbers are given below.

- 4 1/5 and 2 1/4

The mixed fraction number is converted into a fraction number.

-4 1/5 = -21/5

2 1/4 = 9/4

Then the division of the fraction numbers will be

⇒ -(21/5) ÷ (9/4)

⇒ -(21/5) · (4/9)

⇒ -28/15

Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.

Then the correct option is E.

The missing option will be negative 28 over 20.

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The experiment conducted resulted in a '2' five times out of 24 rolls , so the experimental probability is   5 / 24

Answer:

\(\sf x=33.9^{\circ \:}\)

using tan rule:

\(\sf tan(x)= \dfrac{opposite}{adjacent}\)

using this formula:

\(\sf tan(x)= \dfrac{109}{162}\)

\(\sf x= tan^{-1}(\dfrac{109}{162})\)

\(\sf x=33.9^{\circ \:}\)

Answer:

x = 33.9° (nearest tenth)

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

To find the value of x in the given diagram use the tan ratio.

From inspection of the given diagram:

Substitute the given values into the tan ratio and solve for x:

\(\implies \tan(x)=\dfrac{109}{162}\)

\(\implies x=\tan^{-1}\left(\dfrac{109}{162}\right)\)

\(\implies x=33.934224...\)

\(\implies x=33.9^{\circ}\; \sf (nearest\;tenth)\)

Therefore, the value of x to the nearest tenth is 33.9°.

Answer:

95% confidence interval for the mean ARSMA score for first-generation Mexican Americans

(2.13264 , 2.58736)

Step-by-step explanation:

Step(i):-

Mean of the Population = 3.0

Standard deviation of the Population = 0.8

Given Mean of the sample(x⁻ ) = 2.36

Standard deviation of the sample  (S) = 0.8

size of the sample = 50

Level of significance =0.05

Degrees of freedom = n-1 = 50-1 = 49

\(t_{\frac{0.05}{2} , 49} = 2.0096\)

Step(ii):-

95% confidence interval for the mean ARSMA score for first-generation Mexican Americans

\((x^{-} - t_{(\frac{\alpha }{2},df )} \frac{S}{\sqrt{n} } , (x^{-} +t_{(\frac{\alpha }{2},df )} \frac{S}{\sqrt{n} })\)

\((2.36 - 2.0096 \frac{0.8}{\sqrt{50} } , 2.36 +2.0096\frac{0.8}{\sqrt{50} })\)

( 2.36 - 0.22736 , 2.36 + 0.22736)

(2.13264 , 2.58736)

Final answer:-

95% confidence interval for the mean ARSMA score for first-generation Mexican Americans

(2.13264 , 2.58736)

Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

Answer:

(p+5)(p-2)

Step-by-step explanation:

We are looking for two numbers that multiply to -10 (the rightmost number) and sum to 3 (the middle number)

These are 5 and -2

So we write

(p ____)(p ____)

and fill in the blanks

(p+5)(p-2)

Check by FOILing:

p^2 -2p + 5p -10

And combine the two middle terms.

p^2 + 3p - 10

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

Answer:

The Answe for the third side is 60

Answer:

q=4

p=2

Step-by-step explanation:

3p+2q=14

10p+6q=44

10(3p+2q=14)

3(10p+6q=44)

30p+20q=140-

30p+18q=132

2q=8

2q/2=8/2

q=4

3p+2*4=14

3p+8=14

3p=14-8

3p/3=6/3

p=2

hope this helps

Answer:

\(p=2\\q=4\)

Step-by-step explanation:

One is given the following system of equations,

\(3p + 4q = 22\\\\10p + 12q = 68\)

The fastest method to solve a system of equations is the method of elimination. This process is manipulating one of the equations, by multiplying or diving it by a value, such that one of the coefficients variables in the equation is the additive inverse of the like term in the other equation. That way, when one adds the equations, one of the variables cancels out. Then one can solve for the other term. Finally, one can back sovle by substituting the value of the solved variable into one of the equations and simplifying to find the value of the other variable.

\(3p + 4q = 22\\\\10p + 12q = 68\)

Manipulate the first equation so that the variable (q) cancels

\((3p + 4q = 22) *(-3)\\\\10p + 12q = 68\)

\(-9p + -12q = -66\\\\10p + 12q = 68\)

Add the equations,

\(-9p + -12q = -66\\\\10p + 12q = 68\)

\((10p-9p)+(-12q+12q)=(-66+68)\)

Simplify,

\((10p-9p)+(-12q+12q)=(-66+68)\)

\(p=2\)

Backsovle for the variable (p). Substitute the values of (p) into one of the original equations. Then simplify and use inverse operations to solve for the variable (q).

\(3p+4q=22\)

Substitute,

\(3(2)+4q=22\)

Simplify,

\(3(2)+4q=22\)

\(6+4q=22\)

Inverse operations,

\(6+4q=22\)

\(4q=16\\q=4\)

Answer:

I'm not sure but I think it is letter A

Step-by-step explanation:

Because first off 0 is divisible by any integer number meaning it has to be divide by a whole number not fraction. Also, 0 + 2 = 2 then you divide that by 4 is 0.5.

Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°

Answer:

f(x) = 0.5x

Step-by-step explanation:

For this problem, we simply have to find the constant of proportionality between x and f(x). In other words, what x is multiplied by to get f(x).

Since this proportion is constant (meaning it doesn't change), all we have to do is divide an f(x) value in the table by its corresponding x value.

p = f(x) / x

p = -2 / -4

p = 1/2 = 0.5

We can show the relationship of x to f(x) with the equation f(x) = px, which can be simplified using the constant of proportionality that we just solved for.

f(x) = 0.5x

Answer: 7500

Step-by-step explanation:

multiply 150 by 50

The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.

In the confidence interval formula p ± z, the circled portion represents the Margin of Error.

The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.

It indicates the range within which the true population parameter is likely to fall based on the sample data.

The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.

The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.

The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.

It reflects the trade-off between the desired level of confidence and the width of the interval.

A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.

Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.

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Answer:

Step-by-step explanation:

-32.5

Answer:

17 1/4

Step-by-step explanation:

5 3/4 + 5 3/4+ 5 3/4= 17 1/4

The weight of 3 bags will be 17 ( ¹ / ₄ ) pounds.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that If each bag of tokens weighs 5 (³/₄) pounds and there are three bags.

To calculate the weight of all the bags multiply the weight of each bag by the number of the bags.

Total weight = 5 (³/₄) x 3

Total weight = 5 (³/₄) x 3

Total weight = ( 23 / 4 ) x 3

Total weight = 69 / 4 = 17( ¹ / ₄)

Therefore, the weight of 3 bags will be 17 ( ¹ / ₄ ) pounds.

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Answer:

12

Step-by-step explanation:

The square root of 144 is 12

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

Answer:

-3

Step-by-step explanation:

Answer:

Answer:

A) (4)(-5)(3)

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

did it on edge :) hope this helps

Answer:

9-10

Step-by-step explanation:

nice lol

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.