If a linear regression equation predicts more than 25% of the variance in the Y scores, then the correlation between X and Y must be greater than r = ________.
b. 0.50
c. 0.35
d. 0.40

Answer:

Yes this statement is true because 0/3 is 0

Answer:

False.

Step-by-step explanation:

x = 0 would be the only solution to make the statement true. Anything other than x = 0 will make the statement false.

Along with proof of (a.) and (d.), (b.) Power tower: one level is a, (k + 1) levels is a raised to the power of a power tower with k levels, (c.) A(2, n) <= 2 ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.

The idea of a fully computable function that is not primitive recursive is illustrated by the recursively constructed mathematical function known as the Ackermann function. Since m and n are non-negative integers, it is commonly written as A(m, n).

a.) Prove using regular induction that \(A(1, n) \leq 2^n\) for all positive integers n:

Base Case: For n = 1, A(1, 1) = 2, which is equal to \(2^1\).

Inductive Hypothesis: Assume that \(A(1, k) \leq 2^k\) for some positive integer k.

Inductive Step: We need to show that \(A(1, k + 1) \leq 2^{(k + 1)}\). Using the recursive definition of A(m, n), we have \(A(1, k + 1) = A(0, A(1, k)) = 2^{(A(1, k))}\leq 2^{(2^k)}\) (by inductive hypothesis)\(< = 2^{(2^{(k + 1)})}\).

Therefore, by regular induction, we have proved that \(A(1, n) \leq 2^n\) for all positive integers n.

b.) A power tower with one level is defined as a, and a power tower with (k + 1) levels is defined as a raised to the power of a power tower with k levels.

c.) \(A(2, n) \leq 2\) ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.

d.) The recursive definition of a triple arrow-up notation for power towers is:

a ↑↑↑ 1 = a (base case)

a ↑↑↑ (k + 1) = a ↑↑ (a ↑↑↑ k) (recursive step)

This definition states that a triple arrow-up notation with one level is equal to the base value "a", and a triple arrow-up notation with (k + 1) levels is equal to "a" raised to the power of a triple arrow-up notation with "k" levels.

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Complete Question: ( Refer to image)

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

The result of 626362737287387287373 times 77474747743874837847348734463763786837 represented in scientific notation is 4.80498727057566113882339366151788673587 × 10⁹⁵.

The number you provided in your question can be represented in scientific notation. Scientific notation is a way of expressing numbers in a compact form that is especially useful for very large or very small numbers. The number you provided in your question can be represented in scientific notation as:

7.7474747743874837847348734463763786837 × 10⁷⁷

And 626362737287387287373 can be represented as:

6.26362737287387287373 × 10¹⁸

The product of these two numbers can be calculated as follows:

(7.7474747743874837847348734463763786837 × 10⁷⁷) × (6.26362737287387287373 × 10¹⁸) =

= (7.7474747743874837847348734463763786837 × 6.26362737287387287373) × (10⁷⁷ × 10¹⁸) =

= 48.0498727057566113882339366151788673587 x 10⁹⁵

So, the result of 626362737287387287373 times 77474747743874837847348734463763786837 in scientific notation is:

4.80498727057566113882339366151788673587 × 10⁹⁵

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Answer: it's 12 only

Step-by-step explanation:

Answer:

choice 4 (or D)

Step-by-step explanation:

1) the initial argument (x/2) and the final one (x) shows horizontal compression of the given function;

2) the different between (-1) and (-5) is (-4); it means shifting down 4 units;

3) the correct answer is: the graph is compressed horizontally by a factor 2 and shifted down 4 units.

Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

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Answer:

Operational semantics are classified in two categories: structural operational semantics (or small-step semantics) formally describe how the individual steps of a computation take place in a computer-based system; by opposition natural semantics (or big-step semantics)

Use the following steps to calculate closing inventory by the gross profit method:

1. Add the cost of beginning inventory to the cost of purchases during the period. This is the cost of goods available for sale.

2. Multiply the gross profit percentage by sales to find the estimated cost of goods sold.

3. Subtract the cost of goods available for sold from the cost of goods sold to get the ending inventory.

Answer: A) 0

P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.

We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.

Answer:

\(2x + 14 = 5\)

Step-by-step explanation:

\( \frac{1}{4} (8x + 56) = 20 \\ \frac{8}{4} x + \frac{56}{4} = \frac{20}{4} \\ 2x + 14 = 5 \\ need \: brainliest\)

Answer:

1/4(8x+56)=20

8x+56=20×4

8x=80-56

x=24/8

x=3

Answer:

2494.756kg

*see below regarding significant digits

Step-by-step explanation:

Set up a grid to help you to know whether to divide or multiply. Stack equivalent values one on top of the other in your grid. Arrange them so that the units will cancel out. This helps you to change the units. See image.

*if you are also learning about "significant digits" then you will have to alter the answer to only include the same number of significant digits as in the question.

The exact calculated answer is 2494.756, but there are only two significant digits in the question, so the answer maybe 2500kg instead. If your teacher hasn't taught sig figs then go with the exact answer.

2494.756kg

Answer:

\(\frac{116}{159} = 0.7296\) probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has a graduate degree.

Event B: Has over 10 years of experience.

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.

This means that:

\(P(A) = \frac{159}{469}\)

\(P(A \cap B) = \frac{116}{469}\)

Desired probability:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296\)

\(\frac{116}{159} = 0.7296\) probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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Answer:

12 ANJIRRTOLOLLSKALIII

The correct answer is 21.5 days

Explanation:

We know Marissa has two paid days of vacation plus 1 day for every four months she works. In this context, the first step is to find how much paid days of vacation she will have for working 6.5 years and add this to the 2 paid days of vacation she was given when she began to work. The steps are shown below:

1. Find the number of months in 6.5 by considering each year has 12 months and half year (0.5) is equivalent to 6 months

6 (number of years)  x 12 months =  72 months

0.5 year = 6 months

72 months + 6 months = 78 months (Total of months in 6.5 years)

2. Divide the total of months into 4 considering every 4 months Marissa is given one paid day of vacation.

78 months ÷ 4 = 19.5 days (number of paid days of vacation for working 6.5 years)

Finally, add this result to the two paid days initially given 19.5 days + 2 days = 21.5 days

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

60g/cm - 78grams . 2560ml

Step-by-step explanation:

The average of a dataset is the sum of the dataset divided by the count of the dataset.

The average mass readings of students A and B is 80560g

Given that:

\(Student\ A: 80,560\ 80,555\ 80,565\)

\(Student\ B: 80,400\ 79,551\ 81,729\)

The average mass is calculated using average formula

\(\bar x = \frac{\sum x}{n}\)

For both students

\(n = 3\) --- the number of mass readings

So, we have:

Student A

\(\bar x_A = \frac{80560 + 80555 + 80565 }{3}\)

\(\bar x_A = \frac{241680}{3}\)

\(\bar x_A = 80560g\)

Student B

\(\bar x_B = \frac{80400+ 79551+ 81729}{3}\)

\(\bar x_B = \frac{241680}{3}\)

\(\bar x_B = 80560g\)

Hence, the average mass readings of both students is 80560g

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Answer:

April

Step-by-step explanation:

If you add 12 months it will be November once more. Then add 5 months which is April.

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer:

Most likely answers are either 6 or 8.

Step-by-step explanation:

The sequence could be of all even numbers, so 2, 4, 6, 8, etc.

Or of all powers of 2, starting at 2, so 2, 4, 8, 16, etc.

Since there are an infinite number of sequences that fit the pattern, you just have to choose the most likely.

Answer:

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer:

His rate is a whopping $231.47 per hour.

:)

Step-by-step explanation:

We can conclude that.

\(r*t_1=p_{reg}\)   is the gross pay from his regular hours.

\(1.5r*t_2=p_{ovt}\) is the gross pay from his overtime hours.

So all together we can say

\((r*t_1)+(1.5r*t_2)=p\)

We are looking for his hourly rate.

Lets solve for \(r\).

Multiply the terms in the parenthesis.

\(rt_1+1.5rt_2=p\)

Factor \(r\) out of \(rt_1\).

\(r(t_1)+1.5rt_2=p\)

Factor \(r\) out of \(1.5rt_2\).

\(r(t_1)+r(1.5t_2)=p\)

Factor \(r\) out of \(r(t_1)+r(1.5t_2)\).

\(r(t_1+1.5t_2)=p\)

Divide each term in \(r(t_1+1.5t_2)=p\) by \(t_1+1.5t_2\) and simplify.

\(\frac{r(t_1+1.5t_2)}{t_1+1.5t_2} =\frac{p}{t_1+1.5t_2}\)

Simplify the left side.                                                                              Cancel the common factor of \(t_1+1.5t_2\)

\(r=\frac{p}{t_1+1.5t_2}\)

Now we have an equation to find his regular hourly rate.

We are given

\(p=16203\)

\(t_1=40\)

\(t_2=20\)

Lets plug these numbers into our equation for \(r\).

\(r=\frac{16203}{40+1.5*20}\)

\(r=\frac{16203}{70}\)

\(r=231.47\)

The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.

It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Fractions simply means, numbers that are not whole.

If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

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Answer:

When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Step-by-step explanation:

I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!

The equation of a line in slope intercept form is given by:

y = mx + c

The equation 15x - 9y = -9 of a line into slope-intercept form after simplifying all fractions is y = (5/3)x + 1

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

y = 2x - 3

y = 3x + 4

We have,

15x - 9y = -9

We will rewrite in the slope-intercept form of y = mx + c.

15x - 9y = -9

Subtract 15x on both sides.

-9y = -9 - 15x

-9y = -15x - 9

Divide both sides by -9.

y = (-15x - 9) / -9

y = (15/9)x + 1

y = (5/3)x + 1

Slope = m = 5/3

y-intercept = 1

This is in the slope-intercept form of y = mx + c.

Thus,

The equation 15x - 9y = -9 of a line into slope-intercept form after simplifying all fractions is

y = (5/3)x + 1

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Answer:

5/4cm

ANSWER CHOICE 4

Step-by-step explanation:

LxW=A, so (5/6)÷(2/3)=W

Flip to get the reciprocal:

(5/6)÷(2/3)=(5/6)×(3/2)

Simplify:

(5/6)×(3/2)

=(5/2)×(1/2)

=5/4

5/4cm

Answer: The answer is D or 5/4 cm

Step-by-step explanation: I have my ways ;>