What is the difference between the 12th square number and the
7th square number?

The correlation will not be −0.44 based solely on the slope of the regression line. (option c).

Let X and Y be the vectors of standardized values of X and Y, respectively, for all the subjects. Then, the least-squares regression line can be written as:

Y = βX

where β is the slope of the regression line. To find the intercept, we need to solve for the value of Y when X = 0:

Y = β(0) = 0

This means that the intercept of the regression line in the standardized coordinate system is 0. To find the intercept in the original coordinate system, we need to transform this point back using the formula for standardization:

Y = σY(Y) + μY

where σY is the standard deviation of Y and μY is the mean of Y. Since y = 0, we have:

Y = σY(0) + μY = μY

So, the intercept of the regression line in the original coordinate system is equal to the mean of Y. Therefore, we cannot conclude that the intercept will be −0.44 or 1.0.

Hence the correct option is (c).

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Complete Question

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least-squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

a. The intercept will also be −0.44.

b. The intercept will be 1.0.

c. The correlation will not be 1/−0.44.

Answer:

Multiply the area by 2 and divide the result by the central angle in radians.

Find the square root of this division.

Multiply this root by the central angle again to get the arc length.

The units will be the square root of the sector area units.

Check your result with Omni Calculator.

Step-by-step explanation:

nvm listen to the guy above me

Borrowing at low interest rates is a significant factor in the rising standard of living in the United States.

The correct answer is c) low interest rates; rising.

Borrowing at low interest rates is a major reason for the rising standard of living in the United States. When interest rates are low, it becomes more affordable for individuals, businesses, and the government to borrow money for various purposes such as purchasing homes, starting businesses, or investing in infrastructure.

Low interest rates mean that the cost of borrowing is lower, allowing people to access credit more easily and at a lower cost. This enables individuals and businesses to make large purchases or investments that they might not be able to afford otherwise. For example, low mortgage interest rates make homeownership more affordable, and low business loan rates facilitate entrepreneurship and business expansion.

Moreover, low interest rates can stimulate economic activity and boost consumer spending, which further contributes to a rising standard of living. When people can borrow money at lower costs, they have more disposable income, which can be spent on goods and services, driving economic growth and job creation.

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Answer:

40%

Step-by-step explanation:

The answer would be 40% because if there are 40% 6th graders and 20% 7th graders 40 plus 20 = 60 so 60 plus 40 = 100%

Answer: 40%

Step-by-step explanation:

Answer:

100/x/100

Step-by-step explanation:

Step-by-step explanation:

The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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Answer:

64"

Step-by-step explanation:

Pythagoras theorem

√(80²-48²)

√4096

=64

Answer:

Width = 64"

Step-by-step explanation:

It forms a right angled triangle. We can use Pythagorean theorem to find the base of the triangle

Base² + altitude² = Hypotenuse²

base² + 48² = 80²

base² +  2304 = 6400

           base² = 6400 - 2304

            base² = 4096

           base = √4096

base =  64

Width = 64"

There are many expressions that are equivalent to 4y + 12, which can be obtained by using algebraic operations to manipulate the expression while maintaining its value. Here are a few examples:

12 + 4y

2(2y + 6)

4(y + 3)

8y/2 + 12

4(y + 3) - 3y + y

2(2y + 6) + 2(y - 3)

4y + 9 + 3

4y - 4 + 16

These are just a few examples. There are many other expressions that are equivalent to 4y + 12, depending on what operations you apply and how you choose to represent them.

In mathematics, an expression is a combination of mathematical symbols, numbers, and/or variables, that represents a value or a relationship between values. It may include arithmetic operations such as addition, subtraction, multiplication, and division, as well as algebraic operations such as powers, roots, and logarithms.

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Answer:

Step-by-step explanation:

f(x)=3x+x^4. f(x)=3x+x4 f ( x ) = 3 x + x 4.

Answer:

15550.88

Step-by-step explanation:

the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.

Answer:

15550.88

Step-by-step explanation:

You use πr^2 h

Answer:

Yes, Justin bought enough

Step-by-step explanation:

if there are 14 screws in a packet and Justin buys 5, all we have to do is multiply 14 x 5

14 x 5 = 70

So Justin bought 2 extra

Answer:

10

Step-by-step explanation:

5²+10÷2

10+10÷2

20÷2

10

Answer:17.5

Step-by-step explanation:

5^2 is 25

25+10=35

35/2 is 17.5

The volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis is π/2.

We have to determine the volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis.

We will rotate the region near the y-axis using the disc method. Consequently, the curve's equation should be expressed in terms of y.

y = x^2

Taking square root on both side, we get

x = √y

We can write it as

x = y^{1/2}

The volume integral formula is

V = \(\pi\int_{a}^{b}R(x)^2dx\)

The values of a and b are taken from the y-axis since the equation for the curve we need is expressed in terms of y.

Using the curve's equation, if x = 0, y = 0, and if x = 1, y = 1, respectively.

Thus, a = 0 and b = 1 are the values.

Now, we may use definite integral to express the volume.

V = \(\pi\int_{0}^{1}\left[y^{1/2}\right]^2dx\)

Now simplify

V = \(\pi\int_{0}^{1}ydx\)

Now integrating

V = \(\pi\left[\frac{y^2}{2}\right]_{0}^{1}\)

V = \(\pi\left[\frac{(1)^2}{2}-\frac{(0)^2}{2}\right]\)

V = \(\pi\left[\frac{1}{2}-0}\right]\)

V = π/2

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Answer:

No because if you subtracted a negative you ADD THE OPPOSITE so it would end up being positive.

Step-by-step explanation:

Answer:

That is not reasonable. (sry i misunderstood the question)

Step-by-step explanation:

two negatives make a positive and its the same vise versa. In this case you are subtracting a negative from a positive. This is two - in a row which would make it positive.

Hope this helps

Answer:

Step-by-step explanation:

28/40 ×100 =70 PERCENT

Answer:5.67* 10^7

Step-by-step explanation:

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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Answer: I believe it's just custom. Some nations follow the quantity with a currency symbol, such as the dollar sign.

According to one hypothesis I've heard, the currency symbol was added before the quantity to stop individuals from modifying handwritten amounts, like changing 25.00 into 125.00, for example. It might be accurate, however I believe that the amount is always spelled out in words in the majority of situations when such fraud would be conceivable, such as on checks.

Step-by-step explanation:

Answer:42

42 is -4(-1 1/2 - 9) is the answer

Answer:

c. y + 3 = (1/2)(x - 1)

Step-by-step explanation:

Answer:

A. \(y + 1 = (-\frac{1}{2})(x + 3)\)

Step-by-step explanation:

I used a graphing calculator. I prefer Desmos, but you can use whatever you like. I recommend Desmos or GeoGebra.

The final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2)

Given expression is (a - b) (x²-7) - (a - b) (4x + 5).Here, (a - b) is a common factor in the given expression. We can factor out (a - b) as follows:(a - b) (x²-7) - (a - b) (4x + 5) = (a - b) [(x² - 7) - (4x + 5)] = (a - b) (x² - 4x - 12)Next, we can further factorize the expression x² - 4x - 12 as follows:x² - 4x - 12 = (x - 6) (x + 2)

Therefore, the final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2) - this is the answer.

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Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

\(\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}\)

Answer:

0x>3 technically

Step-by-step explanation:

At step 3 you have -6<-2x

You want to get the x by itself on one side of the equation. Divide by -2 on both sides of the equation

-6÷-2<-2x÷-2

-6÷-2=3 and -2x÷-2=x

So you would have 3<x BUT when you divide an inequality by a negative, it flips the inequality sign.

So instead of 3<x your answer would be 3>x

Also, it would not be 0x, but 1x. Out of the choices you gave, the answer would be 0x>3 but if you want to actual answer it would be 1x>3 or just x>3

The final step in solving the given inequality is x < 3. The correct answer is option (C) x < 3.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given as follows:

-2(5-4x) < 6x - 4

First, simplify the inequality as:

-2(5-4x) < 6x - 4

Distribute the -2 in the above inequality,

-10 + 8x < 6x - 4

Add 10 and subtract 6x from both sides,

-10 + 8x + 10 - 6x < 6x - 4 + 10 - 6x

2x < 6

Divide both sides by 2

x < 3

Therefore, the final step in solving the given inequality is x < 3.

Hence, the correct answer is option (C) x < 3.

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The ratio by mass of copper to zinc in the alloy is 3:1.

To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:

Total mass of alloy = 13.5 g + 4.5 g = 18 g

Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:

Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1

Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.

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Difference in miles walked between 2 teams is 2x+12.

Team A walks total of 6*x+12 miles.

let's suppose Team A walks y1 miles

y1 = 6*x+12.

Team B walks total of 4x-7 miles

let's suppose Team B walks y2 miles

y2 = 4*x-7

Let's understand what means by difference?

One of the most crucial mathematical operations, which is obtained by removing two numbers, produces difference in mathematics. It reveals how much one number deviates from another. To determine how many numbers are between the two given numbers is the goal of finding the difference in math.

Difference in miles walked between 2 teams

=  y1-y2.

=  6x+12-(4x-7)

= 6x+12-4x+7

=2x+12

So the difference in miles walked between 2 teams is 2x+12.

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