If a researcher has collected data and wishes to analyze them, the researcher must first create a data set using the _____ scores.

Answer I believe the next two terms are 21 and 34!  

Step-by-step explanation:

the sequence is 1,1,2,3,5,8,13...

So for the first number, 1 + 0 is 1, for the next sequence 1 + 1 is 2, 1 + 2 is 3.

Add the number with the number behind it to get your next number!

I may utilize the Cp Criterion, AICp, and SBCp to aid in choosing the optimal model. All of them impose sanctions for introducing predictions.

What is subset regression model?

Best subsets regression is a model-building regression analysis that is exploratory. It compares every model that might be built using a specified set of predictors.

There are Cp Criterion, AICp and SBCp that I can use to help select the best model. They all place penalties for adding predictors.

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Answer:

-12k + 24

Step-by-step explanation:

-3 × -8 = 24

-3 × 4k = -12k

The inequality of the graph is a linear inequality

The inequality shown in the graph is y > -2x -2

The points on the graph are given as:

(x,y) = (-2,2) and (0,-2)

The slope (m) is calculatedusing:

m = (y2 - y1)/(x2 - x1)

This gives

m =(-2 - 2)/(0 + 2)

Evaluate

m = -2

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -2(x - 0) -2

y = -2x -2

The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality

The equation becomes

y > -2x -2

Hence, the inequality shown in the graph is y > -2x -2

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Answer:

(-5,1)

Step-by-step explanation:

The solution of the system is where the two lines intersect

The graphs cross at x=-5 y = 1

We can see that the pattern progresses by adding 3 to the previous perfect square to obtain the next term. The next few terms of the sequence would be:

25 (16 + 3)

36 (25 + 3)

49 (36 + 3)

64 (49 + 3)

81 (64 + 3)

...

We can continue this pattern to find as many terms as desired.

What is Number Sequences?

In mathematics, a number sequence is an ordered list of numbers that follow a specific pattern or rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index.

The given pattern appears to be a sequence of perfect squares starting from 1 and increasing by 3 at each step. We can verify this by observing that:

The first term is 1 which is a perfect square.

The second term is 4 which is a perfect square and is obtained by adding 3 to the previous term 1.

The third term is 9 which is a perfect square and is obtained by adding 3 to the previous term 4.

The fourth term is 16 which is a perfect square and is obtained by adding 3 to the previous term 9.

Therefore, we can see that the pattern progresses by adding 3 to the previous perfect square to obtain the next term. The next few terms of the sequence would be:

25 (16 + 3)

36 (25 + 3)

49 (36 + 3)

64 (49 + 3)

81 (64 + 3)

...

We can continue this pattern to find as many terms as desired.

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Answer:

See below

Step-by-step explanation:

Question 1:

For polynomial:

\( x^2 + 11x + 24\)

add upto 11 x

multiply to 24

Question 2:

For polynomial:

\( x^2 - 12x + 20\)

add upto - 12 x

multiply to 20

Answer:

its 9

Step-by-step explanatioso yeah

The nth term of the sequence is given by n² + a and the sum of first 4 term is S₄ = 2

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Given that the nth term of the sequence is n² + a

Let's use this formula to find the value of the sixth term:

6th term = 6^2 + a = 36 + a = 29

Subtracting 36 from both sides, we get:

a = 29 - 36 = -7

So the formula for the nth term of the sequence becomes n^2 - 7.

Now, to find the sum of the first four terms of the sequence, we can simply substitute n = 1, 2, 3, and 4 in the formula and add them up:

S₄ = 1² - 7 + 2² - 7 + 3² - 7 + 4² - 7

S₄ = (-6) + (-3) + 2 + 9

S₄ = 2

Hence , the sum of the first four terms of the sequence is 2.

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Answer: x = 4          

Step-by-step explanation: 4x + 6 = 4 × ( x - 4),   4 = 0,   x - 4 = 0, add 4 to each sides of the equation: x = 4

Answer:

They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.

Step-by-step explanation:

short answer it won't trust me

If you graph the point

(1,1)

and

(2,-1)

you see this. Shown below:

Answer:

Step-by-step explanation:

Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.

We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).

Answer:

Factor: x-5 & x+12

Not a Factor: x-1, x+4, x-7, x+10

Step-by-step explanation:

The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).

Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).

Answer:

39.50 + -51.25 is the expression

Step-by-step explanation:

I got it correct on I-ready!

Answer:

39.50+(-51.25)

Explanation:

Hope this helps 'cause it's correct! :)

If the situation shows an average rate of change that is negative then it means that b. it means that the median age of a man at the time of his first marriage is decreasing.

A negative rate of change means that the variable being investigated is decreasing as time goes on.

As the variable in this case seems to be the median age of a man at the time of his first marriage, it means that this median age is decreasing as time goes on.

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The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Nathan played 4 games and went on 8 rides.

Nathan went to a carnival and spent $34. Games cost $1 each and rides cost $3.75 each. Let's say Nathan played x games and went on y rides. We know that x + y = 34 and y = 2x. We can substitute the second equation into the first equation to get x + 2x = 34. Solving for x, we get x = 4. Plugging this value back into y = 2x, we get y = 8.

Here is a table of Nathan's expenses:

Item    Cost                            Quantity                       Total Cost

Games $1                                        4                               $4                          

Rides $3.75                                8                               $29.00

Total $34.00

Nathan had a great time at the carnival and spent his money wisely. He played four games and went on eight rides, which is a good amount of entertainment for the price.

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Answer:

\(150( {1.01}^{12} ) - 150 = 19.02\)

The account will earn $19.02 interest in 12 months.

Answer:

Step-by-step explanation:

To determine the future value of the savings account after 12 months, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the account

P = the principal or initial value of the account (in this case, $150)

r = the annual interest rate (1% per month or 0.01)

n = the number of times the interest is compounded per year (12)

t = the time period in years (1)

Plugging in these values, we get:

A = 150(1 + 0.01/12)^(12*1)

A = 150(1.0075)^12

A = $162.89

Therefore, the savings account will be worth approximately $162.89 after 12 months with 1% monthly interest. It is important to note that this is only an estimate, as the actual amount could vary depending on any additional deposits or withdrawals made during the year, and the interest rate could also change.

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a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

3 lbs

Step-by-step explanation:

There are 16oz in 1 lb

Therefore, 2 pieces of pie is 1 lb

Divide 6 by 2 and you get 3 lbs

When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

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A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of 5 line pairs per millimeter (B).

A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of B. 5 line pairs per millimeter.
Here's a step-by-step explanation:

1. The sampling frequency is given as 10 pixels per millimeter.
2. According to the Nyquist-Shannon sampling theorem, the maximum spatial frequency (in line pairs per millimeter) that can be accurately represented is half of the sampling frequency.
3. Divide the sampling frequency (10 pixels per millimeter) by 2: 10/2 = 5 line pairs per millimeter.

So, the answer is B. 5 line pairs per millimeter.

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Answer: D.

Step-by-step explanation:

Answer:

Answer:4 1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Side measures is not sufficient to state the figure is rectangle.

It could be a parallelogram too.

To ensure it is rectangle you need to measure the diagonals as well. The diagonals should be equal, then the four formed triangles will be congruent.