Gerrick is planting a row of flowers in a bed 38 feet long. The instructions say to space the plants 1 foot apart, allowing for 38 flowers. The flowers come in flats containing 5 plants per flat. After purchasing the necessary flats, how many flowers will he have left over? _______ flowers

Answers

Answer 1

Answer:

 \(Y=2\)

Step-by-step explanation:

From the question we are told that

Number of Flower to be planted n=38

Flower per Fiats f=5

Since Number of Flower to be planted \(n=38\)

Therefore Fiats bought must tally or be greater than \(n=38\)

Generally The Multiply of 5 greater than and closest to 38 is 8

 \(X=5*8\)

 \(X=40\)

Generally the Total amount of Fiats Bought is given by

 \(X=40\)

Therefore The Number of flowers Y left is

 \(Y=X-n\)

 \(Y=40-38\)

 \(Y=2\)


Related Questions

Explain the survival of the fittest.

Answers

Answer:

Survival of the Fittest

There has been gradual evolution of life forms with new forms arising at different periods of history. Any population has built-in variations in characteristics which adapt it better to environment.The characteristics which enable some population or individuals to survive better in natural conditions (climate, food, physical factors) would out-breed others (Survival of the fittest).Adaptability is inherited and fitness is the end result of ability to adapt and get selected by nature.

Write an equation of the line that passes through the points.

(−4,1),(0,3)

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

Given at least two points through which a line passes, we can find the equation of a line in slope-intercept form, which is y = mx + b, where

m is the slope,and b is the y-intercept

Step 1:  We can find the slope using the slope formula, which is

m = (y2 - y1) / (x2 - x1), where (x1, y1) are one point on the line and (x2, y2) is another point on the line.

Allowing (-4, 1) to be our (x1, y1) point and (0, 3) to be our (x2, y2) point, we can find the slope by plugging everything into the formula:

m = (3 - 1) / (0 - (-4))

m = 2 / (0 + 4)

m = 2 / 4

m = 1/2

Step 2:  Now we can find b, the y-intercept, by plugging in at least one of the points for x and y and 1/2 for m.  Let's use (-4, 1) for x and y:

1 = 1/2(-4) + b

1 = -2 + b

3 = b

Thus, the equation of the line that passes through the points (-4, 1) and (0, 3) is y = 1/2x + 3

A. -22
B. 11
C. 13
D. 26

A. -22 B. 11 C. 13 D. 26

Answers

D. 26

\(2n - 3 : 8\)

Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.​

Answers

Answer:

20%

Step-by-step explanation:

The correct answer is 20%

Small Manufacturing Company has a standard overhead rate of $42 per hour. The labor rate is $20 per hour. Overhead is applied based on direct labor hours. Jobs B-1 and B-2 were completed during the month of March. Small incurred 140 hours of indirect labor during the month

Answers

The question is incomplete. The complete question is :

Small Manufacturing Company has a standard overhead rate of $42 per hour. The labor rate is $15 per hour. Overhead is applied based on direct labor hours. Jobs B-1 and B-2 were completed during the month of March. Small incurred 140 hours of indirect labor during the month. Job B-1 used 82 direct labor hours and $3650 worth of direct material used. Job B-2 used 130 direct labor hours and $2,900 worth of direct material. What is the total cost of job B-2? Round to closest whole dollar (no cents).

Solution :

Particulars                                                        Job B-2

Direct material used                                        $ 2,900

Add : Direct labor cost (130 hours x $15)       $ 1,950

Add : overhead cost (130 hours x $ 42)         $ 5,460  

Total Cost of Job B-2                                      $ 10,310

Therefore, the total cost of the Job B-2 is $ 10,310.

The chance that two people have four repeats in location A is 1 in 100. The chance that two people have eight repeats in location B is 1 in 50. The probability that two people have three repeats in location C is 1 in 200. What is the probability that two people would have matching DNA fingerprints for these three locations by chance

Answers

The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

According to statement

In location A the chance that two people have four repeats is  1 in 100.

In location B the chance that two people have eight repeats is  1 in 50.

In location C the chance that two people have three repeats is  1 in 200.

So, to find the probability that two people would have matching DNA fingerprints for these three locations

Multiply the all chances in these locations:

1/100 x 1/50 x 1/200 = 1/1,000,000    

So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

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One of your friends wants to buy a pair of binoculars to look at the birds and animals, however, she cannot afford the R4999 at once. She pays a deposit of R999 and the rest over 3 years using simple interest.

1.4.1) What is the name given to this type of transaction?
1.4.2) On what amount will she pay the interest?

Answers

The name of this type of transaction is known as point of scale installment. 2. The amount on which the interest is paid is $4000.

What is simple interest?

Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Straightforward interest applies to all loans, not just specific ones. Moreover, it refers to the kind of interest that banks give their customers on their savings accounts.

It is straightforward to calculate simple interest using a formula. Simply multiply the principal of the loan by the term's interest rate.

The name of this type of transaction is known as point of scale installment.

The amount on which the interest is paid is:

4999 - 999 = $4000

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help pleaseeeeee lol

help pleaseeeeee lol

Answers

Answer:

7)m=-4

8)p=1

9)v=-12

10)n=-7

11)-13=x

12)b=-4

13)-108=b

14)n=4

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

A Simple Maximization Problem

Consider the following linear programming problem
a. List all the extreme points of the feasible region. b. Find the optimal solution and the objective function value.
c. List the values of all the slack variables.
a. (0,0),(5,0),(3.75,3.75),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0
a. (0,0),(5,0),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0.
a. (0,0),(5,0),(3.75,3.75),(6,4),(0,8); b. x=6,y=4,OFV=76;c1.s1=5,s2=0,s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8); b. x=8,y=0,OFV=64;c.s1=45,s2=20,s3=0.
a. (0,0),(5,0),(3.75,3.75),(4,6),(0,8); b. x=4,y=6, OFV =74;c1.s1=0,s2=0, s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8),(0,10); b. x=0,y=10,OFV=70;c.s1=25,s2=0,s3=2
a. (0,0),(3,0),(3.75,3.75),(3,5),(0,4); b. x=3,y=5, OFV =59;c1.s1=5,s2=0,s3=0
a. (0,0),(5,0),(3.75, 3.75),(3.5),(0,8); b. x=3, y=5, OFV=59; c1.s1=5, s2=0, s3=0

Answers

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

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PLEASE ANSWER QUICK !!

Question 3(Multiple Choice Worth 2 points)

(Identifying Functions MC)


The graph represents a relation where x represents the independent variable and y represents the dependent variable.


A coordinate plane with points at negative 5 comma negative 4, negative 2 comma 0, 0 comma negative 1, 1 comma 3, and 4 comma 1.


What is the domain of the relation?


{−5, 0, 3, 4}

{−4, −1, 0, 1, 3}

{−5, −2, 0, 1, 4}

{−5, −4, −2, −1, 0, 1, 3, 4}

Answers

Answer:

The Domain of the relationship is the set: {-5, -4, -2, -1, 0, 1, 3, 4} (Answer D)

Step-by-step explanation:

Let's recall that the Domain of a relationship is the set of values in the starting set for which there is a correspondent value in the final set.

In this case, we have a set of numbers on the x axis, which are connected with values in the y axis as indicated by the plotting of the points on the (x,y) plane.

The Domain will consist of all those x-values for which we see in the given plot connected to a corresponding y-value.

So, we see that:

the x-value -5 is connected to the y-value -4

the x-value -2 is connected to the y-value -1

the x-value -1 is connected to the y-value 0

the x-value 0 is connected to the y-value 1

the x-value 3 is connected to the y-value 4

and the x-value 2 is connected to two y-values:  3 and 4

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-5, -4, -2, -1, 0, 1, 3, 4}

What is the solution to the equation below? √ x-5 = x-11
A. x=6
B. x=15
C. x=15
D. x=9

Answers

Answer:

x= 14

Step-by-step explanation:

sqrt( x-5) = x-11

Square each side

(sqrt( x-5))^2 = (x-11)^2

x-5 = x^2 - 22x +121

Subtract (x-5) from each side

x-5-x+5 = x^2 -22x +121 -x+5

0 = x^2 -23x +126

Factor

0 = ( x-14) ( x-9)

Using the zero product property

x-14 = 0   x-9=0

x=14 x=9

Check the solutions

sqrt( x-5) = x-11

sqrt( 14-5) = 14-11

sqrt(9) = 3

3=3

solution

sqrt( x-5) = x-11

sqrt(9-5) = 9-11

sqrt(4) =-2

2 = -2

not a solution

A store owner paid $120 wholesale price for a suit he needs to make a 35% profit on the sale for the soup by how much should he markup the price of the suit to make his desire profit​

Answers

Answer:

I think the answer is : $162.00

Step-by-step explanation:

$120.00

35.00% or $42.00

$162.00

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. Which concept can be used to prove that the diagonals of a parallelogram bisect each other? congruent triangles similar triangles congruent rectangles similar rectangles

Answers

Answer:

The answer is:

Congruent triangles

Step-by-step explanation:

Any parallelogram when bisected results in two congruent triangles. The congruent triangles are those which have exactly same three sides and exactly three angles.

It can be seen in the attached picture. Two congruent triangles are received.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point

Answer:

A. congruent triangles

Step-by-step explanation:

layton's sales of the garner book totaled $300,000 for the last half of 20x6. in its 20x6 income statement, layton should report royalty expense of:

Answers

Answer:

Layton should report royalty expense of: $85,000.

Step-by-step explanation:

Under the cash basis of accounting, sales equals cash collections. Layton's sales of the Garner book totaled $300,000 for the last half of 20X6. In its 20X6 Income Statement.

20 points!!!!!
Solve by using the zero product property to solve y = x^2-4x-21 for its zeroes?
Explain in a short paragraph.

Answers

Answer:

  x = -3 or 7

Step-by-step explanation:

The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.

__

The factored form of the given polynomial is ...

  y = (x -7)(x +3)

The values of x that make these factors zero are ...

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

The zeros of the polynomial function are x = -3, and x = 7.

Matthew lost 20 kilograms in weight. How much weight did he lose in ounces?
(Hint: This problem requires two conversions.) PLEASE HELP

1 kg = 2.2 lb and 1 lb = 16 oz
A. 704 ounces
B. 320 ounces
C. 145.46 ounces
D. 275 ounces

Answers

Answer:

705.479 ounces

Step-by-step explanation:

Abcdefghijmnñopqrs

Answer: its A. 704 ounces

Step-by-step explanation:

20 kilograms transfers to 44 pounds that is in total 704 ounces.

Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (12-4x)^2 This simplifies to: AnswerThe degree of our simplified answer is:

Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When

Answers

We are asked to simply the following polynomial

\((12-4x)^2\)

Let us find the product of the above polynomial and simplify it

\(\begin{gathered} (12-4x)^2 \\ (12-4x)\cdot(12-4x) \\ 12\cdot12+12\cdot(-4x)-4x\cdot12-4x\cdot(-4x) \\ 144-48x-48x+16x^2 \\ 144-96x+16x^2 \\ 16x^2-96x+144 \end{gathered}\)

Therefore, the simplified polynomial is

\(16x^2-96x+144\)

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

the hats of n persons are thrown into a box. the persons then pick up their hats at random (i.e., so that every assignment of the hats to the persons is equally likely). what is the probability that (a) every person gets his or her hat back?

Answers

The probability that every person gets his or her hat back is 1/n!

What are equally likely function?

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

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B. City of Bethesda: 15,000 unemployed persons in a town of 200,000. What is the
unemployment rate?

Answers

7.5%
That’s the answer, just filling in the needed texts


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Q1) A spin 1/2 particle is in the spinor state X = A X x-1 (+1) 3 41 2 + 5i 1) Find the normalization constant A 2) Find the eigenvalue and eigenfunction of Sy in terms of a and b.

Answers

1. The normalization constant A is (4/√37).

2. The eigenvalues of Sy are ±1/2, and the corresponding eigenfunctions are (+1/2) X and (-1/2) X.

1. To find the normalization constant A for the spinor state X, we need to ensure that the state is normalized, meaning that its squared magnitude sums to 1.

1Normalization constant A:

To find A, we square the absolute value of each coefficient in the spinor state and sum them up. Then, we take the reciprocal square root of the sum.

Given X = A(√3/4) |+1/2⟩ + (5i/4) |-1/2⟩

The squared magnitude of each coefficient is:

|√3/4|^2 = 3/4

|(5i/4)|^2 = 25/16

The sum of the squared magnitudes is:

3/4 + 25/16 = 12/16 + 25/16 = 37/16

To normalize the state, we take the reciprocal square root of this sum:

A = (16/√37) = (4/√37)

Therefore, the normalization constant A is (4/√37).

2. Eigenvalue and eigenfunction of Sy:

The operator Sy represents the spin in the y-direction. To find its eigenvalue and eigenfunction, we need to find the eigenvectors of the operator.

Given the spinor state X = A(√3/4) |+1/2⟩ + (5i/4) |-1/2⟩

To find the eigenvalue of Sy, we apply the operator to the state and find the scalar factor λ that satisfies SyX = λX.

Sy |+1/2⟩ = (+ħ/2) |+1/2⟩ = (+1/2) |+1/2⟩

Sy |-1/2⟩ = (-ħ/2) |-1/2⟩ = (-1/2) |-1/2⟩

So, the eigenvalue of Sy is ±1/2.

To find the eigenfunction corresponding to the eigenvalue +1/2, we write:

Sy |+1/2⟩ = (+1/2) |+1/2⟩

Expanding the expression, we have:

(+1/2) (A√3/4) |+1/2⟩ + (+1/2) ((5i/4) |-1/2⟩) = (+1/2) X

Therefore, the eigenfunction of Sy corresponding to the eigenvalue +1/2 is (+1/2) X.

Similarly, for the eigenvalue -1/2, the eigenfunction of Sy is (-1/2) X.

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What number is in the exact middle of -3 and 1.5?

Answers

1 is in the middle!! hope this helps

graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including the roots and the vertex

Answers

Answer:

This is what I got! Hope it helps! :)

graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including

The zeroes are (2, 0) and (8, 0),Vertex is (5, 9), remaining points plotted on the graph are (4,8) and (6,8).

What is graph of quadratic equation?

The graph is not a line. This figure is called a parabola. Every quadratic equation has a graph that looks like this.

All parabolas of the form y = \(a{x}^{2}+bx+c\) open upwards or downwards.

When the \({x}^{2}\) term is positive, the parabola opens upward, and when the \({x}^{2}\) term is negative, the parabola opens downward.

After plotting the equation \(y=-x^{2} +10x-16\)

From the graph i have labelled 5 points, they are

As per the graph the zeroes are (2, 0) and (8, 0),Vertex is (5, 9), remaining points plotted on the graph are (4,8) and (6,8).

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graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including

Write down the next two numbers in the sequence.

81, 64, 47, 30, ___, ___

Answers

Answer:

81, 64, 47, 30, 13, -4

Answer:

The next two numbers are 13 and -4.

Step-by-step explanation:

We are subtracting 17 each time.

30 - 17 = 13

13 - 17 = -4

True or False: Any organized rhythm without a pulse is defined as pulseless electrical activity (PEA).

Answers

The statement is false, as it not includes, for example, tachycardia.

What is a Pulseless eletrical activity?

Pulseless electrical activity (PEA) is a condition in which an electrocardiogram shows a heart rhythm, but no pulse can be felt. There is therefore electrical activity, but no heart contraction takes place or the cardiac output is insufficient for some other reason.

With PEA, defibrillation makes no sense; the problem is not in the nerve tissue of the heart, but in the heart muscle tissue that is not functioning adequately. Resuscitation while correcting the underlying cause is the appropriate treatment.

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8 less than a number​

Answers

Answer:

13 is the answer to 8 less than a number

would the following method produce a random sample of a school population of 1000 students? answer yes or no. all students with last names beginning with the letter m.

Answers

Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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Here is a rectangle.
The length of the rectangle is 5 cm longer than its width.
4 of these rectangles are put together
to make this 10-sided shape.
The perimeter of the 10-sided shape is 55 cm.
Work out the area of the 10-sided shape.
Use the letter x for any algebraic method.

Answers

The area of the 10-sided shape made by combining 4 rectangles with dimensions (15/16) cm and (95/16) cm is approximately 8.90625 cm².

1. Let's start by finding the dimensions of the rectangle. We are given that the length is 5 cm longer than the width. Let's represent the width as 'x' cm. Therefore, the length of the rectangle would be 'x + 5' cm.

2. The perimeter of the 10-sided shape is given as 55 cm. Since the shape is made up of 4 of these rectangles, we can calculate the total perimeter of the shape by multiplying the perimeter of one rectangle by 4:

Perimeter of one rectangle = 2(length + width)

Perimeter of one rectangle = 2((x + 5) + x)

Perimeter of one rectangle = 2(2x + 5)

Perimeter of one rectangle = 4x + 10

Total perimeter of the 10-sided shape = 4 times the perimeter of one rectangle

Total perimeter of the 10-sided shape = 4(4x + 10)

Total perimeter of the 10-sided shape = 16x + 40

We are given that the total perimeter is 55 cm. So, we can set up the equation:

16x + 40 = 55

3. Let's solve the equation to find the value of 'x':

16x + 40 = 55

16x = 55 - 40

16x = 15

x = 15/16

4. Now that we have the value of 'x', we can find the dimensions of the rectangle:

Width of the rectangle (x) = 15/16 cm

Length of the rectangle (x + 5) = (15/16) + 5 = (15/16) + (80/16) = 95/16 cm

5. Finally, let's calculate the area of the 10-sided shape:

Area of the 10-sided shape = 4 times the area of one rectangle

Area of the 10-sided shape = 4(length * width)

Area of the 10-sided shape = 4((95/16) * (15/16))

Area of the 10-sided shape = (4 * 95 * 15) / (16 * 16)

Area of the 10-sided shape = 570 / 64

Area of the 10-sided shape = 8.90625 cm²

Therefore, the area of the 10-sided shape is approximately 8.90625 cm².

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a)not congruent
b)SSS
c)SAS
d)ASA​

a)not congruentb)SSSc)SASd)ASA

Answers

Answer:

sas

Step-by-step explanation:

Help yalll I really need help major time

Help yalll I really need help major time

Answers

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

what does the univariate t test tell you that the bivariate correlation test alone does not? what does the bivariate test tell you that the univariate test does not tell you?

Answers

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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Imagine that you were interested in whether extraversion runs in families. You made a list of all your relatives and put either an I (for introvert) or E (for extravert) next to each name. Why would most personality psychologists object to this approach Fill in the blanks with the correct angle measure. For example: Measure of angle 1 = 110 degrees. You only need to type 110. A coder acquires a working knowledge of coding systems, coding conventions and guidelines, government regulations, and third-party payer requirements to ensure that documented diagnoses, services, and procedures are coded accurately for __________, research, and statistical purposesreimbursement Plsss help me finish thissss ;w;w;w;w;w;w;w; Factor this expression: 3x+x^2-10 The nervous system is made up of several parts, such as the brain and nerves.The nervous system's job is to A. process and send information. B. digest food and release nutrients into the body. C. remove waste products from the cells. D. provide structure and support for the body. Suspiciousness, convulsions, and cardiac arrest are aversive reactions most closely associated with the use of graph the line y = -2x - 2 the mold structures that enable a fungus to sprad across the surface of leftover spaghetti sauce are called if y varies directly as x and y = 36 when x = 4,what is the constant of variation? Which of the following dimensions of e-commerce technology involves engaging consumers in a dialog that dynamically adjusts the experience to the individual?A) UbiquityB) Personalization/customizationC) RichnessD) InteractivityE) Information density Lots of points! Very easy question.Name 3 people in history who you think changed the world for the better.This is for history class. how to prove property 4 of theorem 2.8 for inverse matrices.If A is an invertible matrix, then (AT)1 = (A1)T. differentiate between soft cell and Hard Cell Problem 2 More Basketballs Use these values of initial position and initial velocity in the following questions.Initial position: ___1.0___ m above groundInitial velocity: ___6.3 __ m/s, upProblem Try to answer the following questions:(a) What is the maximum height above ground reached by the ball?(b) What are the magnitude and the direction of the velocity of the ball just before it hits the ground? Show Your Problem Solving Steps: Show these below:1) Draw a Sketch2) Choose origin, coordinate direction3) Inventory List What is known?4) Write the kinematics equation(s) and solution of Part (a):5) Write the kinematics equation(s) and solution of Part (b): Which statement describes convergent boundaries In December, is it autumn in la Paz, Bolivia ? how many rhombuses are in a trapezoid? The slope of the line below is -4. Write the equation of the line in point-slopeform, using the coordinates of the labeled point. Do not use parenthesis onthe y-side.(-2, 2) indentured servant in a sentence