What measure in linear-regression analysis provides the percent of variation in the dependent variable (y) that is explained by the regression equation?

Answer:

1st. yes

2nd. no

i don't know

Step-by-step explanation:

midpoint =(X1+X2)/2 ,(Y1+Y2)/2

therefore=

( -1+-3)/2, (-2+13)/2

=(-4/2,11/2)

=(-2,5.5)

Answer:

The Rule for 2 : Any whole number that ends in 0, 2, 4, 6, or 8 will be divisible by 2. This is the number four hundred fifty-six thousand, seven hundred ninety-one, eight hundred twenty-four. We can tell if 2 divides into this number without a remainder by just looking at the last digit.

Step-by-step explanation:

4|3x-5|-5=-1

|12x-20|-5= -1

|12x-20|= -1+5

|12x-20|= 4

x1-> 12x-20= 4

12x= 4+20

x= 24/12

x=2

x2-> -12x+20 = 4

-12x = 4-20

-12x= -16

x= -16/-12

x= 4/3

The restricted one-to-one trig function that has a domain of -π/2 ≤ x ≤ π/2 is the option;

The sine function, sin(x) has a range of [-1, 1], for all values of x, which indicates that output of the sine function is always between -1 and 1, inclusive. The restriction of the sine function to the domain (-π/2, π/2), the range is [-1, 1], which indicates that the output of the sine function are restricted between -1 and 1 inclusive, for the values of x in the interval, (-π/2, π/2)

The period of the sine function is π, and the interval between -π/2 and π/2 is π

sin(-π/2) = -1, and sin(π/2) = 1

Therefore, the output of the sine function are different in the interval (-π/2, π/2), which is a one-to-one function in the interval -π/2 ≤ x ≤ π/2

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Answer:

  4L +4W +16 square inches

Step-by-step explanation:

The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.

  border midline length = 2((L+2) +(W+2)) = 2L +2W +8

Then the border area is ...

  border area = (border width)(border length) = (2)(2L +2W +8)

  border area = 4L +4W +16 . . . square inches

_____

You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:

  border area = total area - canvas area

  = (L+4)(W+4) -LW = LW +4L +4W +16 -LW

  = 4L +4W +16 . . . . square inches

The area of the triangle ABC with sides AB =6cm, BC=5cm and AC=7cm is 14.697 square centimeters.

We can find the area of the triangle ABC using Heron's formula, which states that the area of a triangle with sides of lengths a, b, and c is:

Area = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle, given by:

s = (a + b + c)/2

In triangle ABC, we have:

The semiperimeter s is:

s = (a + b + c)/2

= (6 + 5 + 7)/2

= 9

Using Heron's formula, the area of triangle ABC is:

Area = √(s(s-a)(s-b)(s-c))

= √(9(9-6)(9-5)(9-7))

= √(9 × 3 × 4 × 2)

= √(216)

= 14.697

In other words, the area of triangle ABC is approximately 14.697 square centimeters.

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The linear function that models the amount left is a = 84 - 16d where 16 is the slope of the equation. At the fourth day, there isn't enough money left for the shirt.

A linear function is a type of mathematical function in which the output is directly proportional to the input. A linear function can be expressed by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

To solve this problem, we have to write a linear function that shows how much is spent in d number of days.

a)

The linear function is

a = 84 - 16d

a = Total amount left

d = number of days.

b)

The cost of the shirt is $38, at the end of the fourth day, we would have

a = 84 - 16(4)

a = 84 - 64

a = 20

The money left isn't enough

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Let's break down the expression for Tony's combined total earnings step by step.

First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.

Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).

To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:

Earnings = $11t + $13(106 - t)

This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).

Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.

One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.

Complete and correct Question:

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.

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Answer:

give ur Question plz

Step-by-step explanation:

i will try to solve it

Answer:

Rate of change = -5/6 & Initial value = 5

Step-by-step explanation:

Rate of change = rise/run = -5/6

Initial value = y -intercept = 6

Answer:

39

Step-by-step explanation:

Since we are multiply the shorter side by 6.5 (you can find this by dividing 26 over 4) We have to do the same for the longer side and by multiplying we get 39, which is the answer.

It will take approximately 15.5 years for the amount to double, rounded to the nearest tenth.

To find out how long it will take for the amount to double, we can use the continuous compound interest formula:

A = P * e^(rt)

Where:

A = Final amount (double the initial amount)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case, the initial investment (P) is $1000, and we want to find the time it takes for the amount to double. The final amount (A) is $2000 (double the initial amount). The annual interest rate (r) is 4.5% or 0.045 (in decimal form).

Plugging these values into the formula, we have:

2000 = 1000 * e^(0.045t)

Dividing both sides by 1000:

2 = e^(0.045t)

Taking the natural logarithm (ln) of both sides:

ln(2) = 0.045t

Finally, solving for t:

t = ln(2) / 0.045 ≈ 15.5

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If the quadrilateral is a trapezoid , then the value of x is = (b) 5 .

We know that the Midsegment of a trapezoid is parallel to each of the base and it's length is one half the sum of the lengths of the bases.

From the figure , we can observe that ⇒ side lengths are  21 units, 27 units , and the sides are parallel to each other.

From the given diagram of the trapezoid , the below expression is true:

that means : ⇒ 5x-1 = (21 + 27)/2  ;

⇒ 2(5x - 1) = 21 + 27 ;

⇒ 10x = 48 + 2 ;

⇒ 10x = 50

On Divide both sides by 10 ;

we have ;

⇒ x = 50/10  ;

⇒ x = 5  .

Therefore , for the quadrilateral the value of x is = 5 .

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The given question is incomplete , the complete question is

The quadrilateral in the below figure is a trapezoid. What is the value of x ?

(a) 4

(b) 5

(c) 48

(d) 25

Step-by-step explanation:

A rectangle has sides of x and (x-2) cm

Area = 3cm²

x(x-2)=3

x²-2x-3=0

BY USING COMPLETING THE SQUARE METHOD

[x²-2(x)(1)+1²] -1² -3=0

(x - 1)² - 1-3=0

(x-1)²-4=0

The value of c>0 such that the average value of f(x) on the interval [-5,c] is equal to 0 is the x-coordinate of the point where the curve of f(x) crosses the x-axis for the first time in the interval [-5,∞).

To find the value of c>0 such that the average value of f(x) on the interval [-5,c] is equal to 0, we need to use the formula for the average value of a function:

avg(f) = (1/(b-a)) × ∫[a,b] f(x) dx

where a=-5, b=c, and avg(f) = 0.

Substituting these values, we get:

0 = (1/(c-(-5))) × ∫[-5,c] f(x) dx

Multiplying both sides by (c+5), we get:

0 = ∫[-5,c] f(x) dx

This means that the area under the curve of f(x) on the interval [-5,c] is 0. Geometrically, this implies that the curve must cross the x-axis at least once on the interval [-5,c].

Therefore, we need to find the value of c such that the equation f(x) = 0 has a solution on the interval [-5,c]. Since we do not know the specific function f(x), we cannot find the exact value of c. However, we can say that c must be greater than or equal to the x-coordinate of the point where the curve of f(x) crosses the x-axis for the first time in the interval [-5,∞).

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The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

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Answer:

32m²

Step-by-step explanation:

thanks me later ,correct me if I'm wrong

Answer: 73.1

Step-by-step explanation:

yea

Answer:

2.16

Step-by-step explanation:

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is \(a_n=-6(-3)^{n-1}\)

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

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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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The pieces of wood will be at least 1/2 foot in length and will be 6.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

1/3 has 5 x

1/2 has 4 x

2/3 has 2 x

Pieces that are 1/2 the length and 1/3 the length;

4 pieces with a length of 1/2 feet.

2 pieces have a length of 2.3 feet.

Pieces at least half a foot long:

⇒4 + 2 = 6

Hence, the pieces of wood are at least 1/2 foot in length and will be 6.

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Answer:

4

Step-by-step explanation:

Call the number x:

-> we have  \(\frac{2+x}{5+x} = \frac23\)

-> 2(5+x) = 3(2+x) -> 2x+10 = 3x+6 -> x = 4

So x (the number we need is) = 4

Answer:

\(-\frac{1}{\sqrt[3]{3}}\)

Step-by-step explanation:

To do this we can ask ourselves "What number multiplied three times by itself is _____?" In this case we have -27 and 81. We see that -3*-3*-3=-27. We also see that 3*3*3*3=81. This means that \(\sqrt[3]{-27}=-3,\) and \(\sqrt[3]{81} = 3\sqrt[3]{3}.\)

The fraction we get is \(\frac{-3}{3\sqrt[3]{3} }\), and we can simplify to get \(-\frac{1}{\sqrt[3]{3}}\).

Answer:

40

Step-by-step explanation:

\( \dfrac{ab^2 - 5}{10} \)

a = 5; b = 9

First, substitute 5 for a and 9 for b.

\( \dfrac{ab^2 - 5}{10} = \)

\( = \dfrac{(5)(9)^2 - 5}{10} \)

\( = \dfrac{(5)(81) - 5}{10} \)

\( = \dfrac{405 - 5}{10} \)

\( = \dfrac{400}{10} \)

\( = 40 \)

The degree measure of angle BDE of an isosceles right triangle is 60 degrees.

Understanding the characteristics of the given isosceles right triangle ABC and the trisecting segments BD and BE will help you find the degree measure of angle BDE.

Step 1: First, picture the triangle.

Triangle ABC has a right angle at A and is an isosceles right triangle. Angles BCA and BAC are therefore equivalent, and angle BAC is 90 degrees.

Step 2: Identify the segments that trisect.

Angle ABC is trisected by segments BD and BE. In other words, they split the angle into three equally parts. These equal sections each have a measurement of 60 degrees.

Step 3: Determine the measure of the angle BDE

Angle BDE results from the division of angle ABC into three equal sections. Each of these equal parts measures 60 degrees.

Therefore, the measure of angle BDE is 60 degrees.
In conclusion, the degree measure of angle BDE is 60 degrees.

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Therefore, The correct change to Badri's table is to switch "indirect" to "direct" and "direct" to "indirect" in the second column. The relationship between distance and the electric force is direct, while for mass it is indirect.

Explanation: The table created by Badri has an error in the second column where the relationship to the strength of electric force for distance is listed as indirect and for mass is listed as direct. This is incorrect as the relationship for distance is actually direct and for mass is indirect. Therefore, the correct change to the table would be to switch "indirect" to "direct" and "direct" to "indirect" in the second column.

Therefore, The correct change to Badri's table is to switch "indirect" to "direct" and "direct" to "indirect" in the second column. The relationship between distance and the electric force is direct, while for mass it is indirect.

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