The data below is 8 observations of Fall semester student credit hours (x) and Spring semester student credit hours (y). Calculate the linear correlation coefficient, rr. Enter your answers to two decimal places.
X hours Yhours
9 8
15 10
5 10
14 10
7 13
13 16
12 16
10 10

Answer:

Step-by-step explanation:

7 divided by $4.00 = $1.75/per tulip

5 divided by $3.00 = $1.67/per tulip

Five tulips for 3.00 dollars

Answer:

7 tulips for $4.00

Step-by-step explanation:

you have 5 tulips for 3.00 dollars and 7 tulips for only 4.00 is a better deal because you just add 1 more dollar.

Answer:

false

Step-by-step explanation:

If an analyst lacks the data required to accomplish a business objective, they should collect similar data on a modest scale and request more time.

After that, they can either conduct the study using proxy data from the other databases or look for more complete data. Decide which options apply. True: Data integrity is refers to the consistency, reliability, accuracy, and completeness of data throughout its life cycle. Column G uses SPLIT to divide each hue into its own unique cell. A spreadsheet function called SPLIT separates text around that a particular character and inserts each fragment into its own cell.

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Answer:

Circumference of circle = πd = π × 16 =16 π in.

or

circumference of circle = 2πr = 2×π×8= 16 π in.

If the columns of matrix B are linearly dependent, then the columns of AB are also linearly dependent.

Suppose the columns of matrix B are linearly dependent, which means there exist constants c₁, c₂, ..., cₙ (not all zero) such that c₁b₁ + c₂b₂ + ... + cₙbₙ = 0, where b₁, b₂, ..., bₙ are the columns of B.

Now, let's consider the product AB. Suppose A is an m × n matrix.

The jth column of AB is given by the product AB(:, j) = A(b₁j) + A(b₂j) + ... + A(bₙj), where b₁j, b₂j, ..., bₙj are the jth columns of B.

Substituting the linear dependence relation for the columns of B into the expression for AB(:, j), we get:

AB(:, j) = A(c₁b₁ + c₂b₂ + ... + cₙbₙ)

         = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

Since matrix multiplication distributes over column vectors, we have:

AB(:, j) = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

This shows that the jth column of AB can be expressed as a linear combination of the columns of A, multiplied by the corresponding coefficients c₁, c₂, ..., cₙ. Therefore, if the columns of B are linearly dependent, the columns of AB are also linearly dependent.

In conclusion, if the columns of matrix B are linearly dependent, then so are the columns of the product AB.

Complete Question:

Show that if the columns of B are linearly dependent, then so are the columns of AB.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Correct on edge

Answer:

(i) 90°

(ii) 10 cm

Step-by-step explanation:

What is a Rhombus?

A rhombus is a special parallelogram  that has all four sides equal. But unlike a square, the angles are not right angles

Properties of a rhombus

We are given AC = 16 cm, BD = 12 cm
Using property 3, we see that

AO = CO = AB/2 = 16/2 = 8 cm

BO = DO =12/2 = 6 cm

m∠AOB = 90°  Answer (i)

(ii) Since m∠AOB  = 90°, ΔAOB is a right triangle with AB as the hypotenuse and AO, BO as the legs of the right triangle

By the Pythagorean Theorem
AB² = AO² + BO²

AB² = 8² + 6²

AB² = 64 + 36

AB² = 100

AB = √100 = 10 cm   Answer (ii)

Answer:

Step-by-step explanation:

You have a rhombus ABCD with diagonals AC = 16 cm and BD = 12 cm. You want the magnitude of central angle AOB, and the length of one side, AB.

The diagonals of a rhombus bisect each other and cross at right angle. They divide the figure into four (4) congruent right triangles.

The central angle AOB has magnitude 90°.

Each of these right triangles will have leg lengths of 6 cm and 8 cm, which you recognize as having the ratio 3 : 4. These are the leg lengths of a 3:4:5 right triangle. In this rhombus, those right triangles have lengths 6 cm : 8 cm : 10 cm. The side AB of the rhombus is 10 cm.

__

Additional comment

If you don't remember the 3-4-5 right triangle, you can use the Pythagorean theorem to find the hypotenuse of the triangle with legs 6 cm and 8 cm:

  c² = a² +b²

  c² = 6² +8² = 36 +64 = 100

  c = √100 = 10

The side AB is 10 cm long.

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

c

Step-by-step explanation:

because if you put it into the calculator c will be the highest and also the exponents for c are higher than all the other indicating that it is larger number and will be more than the others

Answer:

Step-by-step explanation:

Answer:

3π=3×3.14 =9.42

7π=7×3.14=21.98

Step-by-step explanation:

so the distance around window , in feet be

3π=3×3.14=9.42

7π=7×3.14=21.98

Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle described as follows:

Hence the angle is found as follows:

\(\cos{\theta} = \frac{13}{18}\)

\(\theta = \arccos{\left(\frac{13}{18}\right)}\)

\(\theta = 43.76^\circ\)

Hence option D is correct.

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Answer:

46.24

Step-by-step explanation:

:)

\(\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}\)

↓

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}\)

\(\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }\)

\(\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }\)

\(\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }\)

Cancel 2

\(\sf{2-3+5=1+7-8\times\dfrac{8}{2} }\)

\(\sf{2-3+5=1+7-\dfrac{8}{2} }\)

\(\sf{2-3+5=1+7-4 }\)

\(\sf{-1+5=1+7-4}\)

\(\sf{4=1+7-4}\)

\(\sf{4=8-4}\)

\(\sf{4=4}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}\)

\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

The approximate volume of the sphere is 6.01 ft³.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

Given that the surface area of the sphere is 16 square feet.

First, we determine the radius r:

Surface area = 4πr²

Hence

16 = 4πr²

Dividing both sides by 4π, we get:

r² = 16/4πr

r = √( 16/4πr )

r = 1.128 ft

Plugging in the value of r that we just found, we get:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (1.128 ft)³

Volume =  6.01 ft³

Therefore, teh volume is 6.01 ft³.

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Answer: 39

Step-by-step explanation: Using the hypotenuse formula which is C=square root of a square plus b squared. Plug it in as such, square root of 36 sqaured plus 15 squared, and you'll get your hypotenuse. Hope this helps!

Answer: F, 39

Step-by-step explanation:

Pythagorean Theorem

ANSWER

Length of the playing alley = 9m

Width of the playing alley = 3m

STEP-BY-STEP EXPLANATION:

Given information

The perimeter of a rectangular playing alley = 24 m

The length of the alley is three times the width

Let l represents the length of the alley

Let w represents the width of the alley

Step 1: Write the formula for calculating the perimeter of a rectangle

Where l is the length and w is the width of the rectangle

Recall, length = 3 times the width of the alley

Mathematically,

Step 2: Substitute the value of l = 3w into the above formula

Step 3: Solve for w

From the calculations above, you will see that the width of the playing alley is 3m

Step 4: Solve for l

Hence, the length of the playing alley is 9m

a.The statement is True  b.The statement is True

c. The statement is False   d. The statement is False

a. The statement is true. Two matrices are considered equivalent if one can be transformed into the other using a sequence of elementary row operations. These operations include swapping rows, multiplying a row by a non-zero scalar, and adding a multiple of one row to another. These operations preserve the solution set of a system of linear equations.

b. The statement is true. Different sequences of row operations can indeed lead to different echelon forms for the same matrix. The echelon form of a matrix is not unique, and the specific sequence of row operations used determines the resulting echelon form.

c. The statement is false. Different sequences of row operations will always lead to the same reduced echelon form for the same matrix. The reduced echelon form is a unique form obtained through a specific sequence of row operations and is unique for a given matrix.

d. The statement is false. A linear system with more variables than equations, such as four equations and seven variables, can have a unique solution, infinitely many solutions, or no solutions at all. The number of solutions depends on the specific coefficients and constants in the system of equations and cannot be determined solely based on the number of equations and variables.

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H(x) is not equal to K(x) and functions H and K are not equal.

Functions H and K are defined from R to R by the formulas:For all x ∈ R, H (x) = (x –2)2 and K (x) = (x – 1)(x – 3) + 1.

Explain.Solution:For all x ∈ R,H (x) = (x –2)2......(1)and K (x) = (x – 1)(x – 3) + 1......(2)To check whether H = K, we will have to verify whether H(x) = K(x) for all x ∈ R.Therefore, we will equate equations (1) and (2) as:H(x) = K(x)(x –2)2 = (x – 1)(x – 3) + 1x2 – 4x + 4 = x2 – 4x + 4 – 3x + 1x2 – 4x + 4 = x2 – 3x + 5x = –1If we analyze the equation x = –1, we can conclude that it is not a member of R (the domain of the functions).Thus, there is no such x ∈ R that satisfies H(x) = K(x).

Therefore, we can say that H(x) is not equal to K(x) and functions H and K are not equal.

A function is a correspondence between two sets that assigns to each element of one set (the domain) exactly one element of the other set (the range).Functions are widely used in mathematics because they allow us to model real-life situations. The input value of a function is called the independent variable, and the output value is called the dependent variable.

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Answer: 4 seconds

Step-by-step explanation:

Answer:

ST = 5

Step-by-step explanation:

RT = 7

Subtract the RS, which is 2.

You get, ST = 5.

After converting into a linear equation, we have the equation y = -3x

What is a linear equation?

A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. This indicates that there are no variables in a linear equation with exponents greater than 1. A linear equation's graph almost always takes the shape of a straight line.

Solution Explained:

From the question, we have
x = -1
y = 3
slope (m) = -3

Substituting these values in the equation,

y = mx + c

3 = (-3) x -1 + c

After simplyfing the equation, we get

c = 0

We again substitute the value of m and c in the equation,

y = mx + c

y = -3x + 0

y = -3x

Hence, the linear equation is y = -3x.

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Answer:

<2 and <8

<3 and <5

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

This is my 100th question answered!

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following operation:

We solve in the standard way just like this:

The correct option is (c). According to the passage, when compared to mental exhibited different patterns of brain activity.

According to the American Psychiatric Association, Exhibitionistic Disorder is a mental disorder that causes a person to expose his sexual organs—or genitals—to other people, usually people they've never met and are not expecting it. The exhibitionist derives sexual pleasure from the behaviour. When exhibitionists are arrested, treatment for their disorder usually begins. Psychotherapy, support groups, and antidepressants known as selective serotonin reuptake inhibitors are all part of it. Depression can be treated with a variety of medications, including: Serotonin reuptake inhibitors that are selective... read more (SSRIs).

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

2:30 minutes her journey finish.

distance / speed = time

75 / 30 = 2.5 hours :

it means  2:20 pm they finish her journey

Step-by-step explanation:

Brainliest?

Answer:

2:20 pm

Step-by-step explanation:

30 mph=1 mile every 2 minutes

75 miles x 2 =150 minutes or 2 hours and 30 minutes

11:50 am + 2 hours and 30 minutes = 2:20 pm

To simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4), we can start by combining like terms.

First, we need to distribute the negative sign to the second set of parentheses:

(9x^3+2x^2-5x+4) - 1(5x^3-7x-4)

= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4 (distributing the negative sign)

= (9x^3 - 5x^3) + 2x^2 - 5x + (4 - 4 + 7x) (grouping like terms)

= 4x^3 + 2x^2 + 2x (combining like terms)

Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.

We cannot factor this expression further as there are no common factors between the terms.

1) Remove parentheses.

\(9x^{3}+ 2x^{2} -5x+4-5x^{3} +7x-4\)

2) Collect like terms.

\((9x^{3}-5x^{3})+2x^{2} +(-5x+7x)+(4-4)\)

3) Simplify.

\(4x^{3}+2x^{2}+2x\)

Answer: last one

Step-by-step explanation:

a. Income tax is the amount of money that an individual is required to pay to the government based on their income.

b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.

c.   Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.

a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income.  found  using a specific tax rate applied to different income brackets.

b.

Monthly income = Salary + Dearness allowance

= Rs 43,689 + Rs 2,000

= Rs 45,689

Total income for 13 months = Monthly income * 13

= Rs 45,689 * 13

= Rs 593,857

c.

Total income after deducting citizens' investment fund = Total income - Investment amount

= Rs 593,857 - Rs 2000

= Rs 591,857

Hence, the income tax based on the revised total income is:

Tax for income upto 5 lakh which is 1% of the income

= 0.01 * 500000

= Rs 5,000

Tax for income from 5-7 lakh which is the 10% of the income

= 0.1 * 200000

= Rs 20,000

The Tax for income from 7-10 lakh: 20% of the income

= 0.2 * 300000

= Rs 60,000

The Tax for income from 10-20 lakh is 30% of the income

= 0.3 * 0

= Rs 0

The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0

= Rs 85,000

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1). The equation that shows the relationship 30% of 140 is x: 0.30 * 140 = x

2). The equation that shows the relationship 64% of y is 40: 0.64 * y = 40

3). the equation that shows the relationship 45% of z is 72: 0.45 * z = 72

The value of x in the equation is 42

To find the value of x, we can set up the equation:

0.30 * 140 = x

First, we convert the percentage to a decimal by dividing it by 100. So, 30% becomes 0.30. Next, we multiply this decimal by 140 to calculate the value of x.

0.30 * 140 = 42

Therefore, the value of x in the equation is 42.

Similarly, for the second equation, we can set up the equation:

0.64 * y = 40

To find the value of y, we divide both sides of the equation by 0.64:

y = 40 / 0.64

Simplifying the right side gives:

y = 62.5

Therefore, the value of y in the equation is 62.5.

For the third equation, we can set it up as follows:

0.45 * z = 72

To find the value of z, we divide both sides of the equation by 0.45:

z = 72 / 0.45

Simplifying the right side gives:

z = 160

Therefore, the value of z in the equation is 160.

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