What is 1.3 x 10^4 in standard notation?

Answer:

Step-by-step explanation:

The individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature.

A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:

In this scenario, the individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature i.e junior, senior and sophomore.

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Answer:

well,

Step-by-step explanation:

as you see.....uhhh.....hmmmm.....if you first a _________________________________

Answer:

1) 27

2) 63

Step-by-step explanation:

cos-1(17/38)= 63.425...= 63= angle C

90-63= 27=angle A

Answer:

False, assuming "combined" means "added or subtracted and would simplify."

\(x^2\) and \(x\) cannot be combined with addition or subtraction.  They are not like terms.

Step-by-step explanation:

Combining like terms only works if the variables and the powers on the variables match perfectly.  

Examples:

\(x^2\) and \(x\) don't have matching powers, so they're not like terms.

\(x^2\) and \(y^2\) have the same powers, but the variables don't match, so they're not like terms.

Anything can be multiplied together though.  So that's a different situation.

The factored form of an equation is done by rewriting the equation in simpler forms.

The completely factored form of \(8x^2 - 50\) is \(2(2x-5)(2x + 5)\)

The expression is given as:

\(8x^2 - 50\)

Factor out 2 from the expression, \(8x^2 - 50\)

\(8x^2 - 50 = 2(4x^2-25)\)

Express 25 as 5^2

\(8x^2 - 50 = 2(4x^2-5^2)\)

Express 4 as 2^2

\(8x^2 - 50 = 2(2^2x^2-5^2)\)

Rewrite the expression as:

\(8x^2 - 50 = 2((2x)^2-5^2)\)

Express the expression as a difference of two squares

\(8x^2 - 50 = 2(2x-5)(2x + 5)\)

Hence, the completely factored form of \(8x^2 - 50\) is \(2(2x-5)(2x + 5)\)

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Residual sum of squares (RSS) is a measure of the total amount of variance in a given data set that is not explained by a model.

It is equal to the sum of squared differences between the observed data values and the predicted values from the model. This measure is commonly used in regression analysis to evaluate the performance of a model. The formula for RSS is  RSS = Σ(y_i - ȳ)², where y_i is the observed value and ȳ is the predicted value.For example, let's say we have a data set of 10 observations (y_1, y_2, ...,y_10). We fit a linear regression model to the data set which predicts a value ȳ_i for each observation. The RSS for this model is calculated by summing the squared differences between the observed values (y_i) and the predicted values (ȳ_i) for each of the 10 observations. This yields the RSS, which is a measure of how much of the variance of the data set is not explained by the model.

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Answer:

1016.015625 is the correct answer

Step-by-step explanation:

31.875 to the second power is the same as 31.875 squared.

Equation - 31.875 x 31.875

Solve and your answer should be 1016.015625

The sum of the lengths of the two smaller sides is not greater than the length of the largest side. Therefore, a triangle with side lengths of 3, 7, and 11 cannot exist.

To determine if the sides of a triangle can have lengths 3, 7, and 11, we can use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.In this case, let's compare the sum of the two smaller sides (3 and 7) to the largest side (11).3 + 7 = 10 < 11.

Therefore, the sum of the lengths of the two smaller sides is not greater than the length of the largest side.

Therefore, a triangle with side lengths of 3, 7, and 11 cannot exist.

This makes sense because if we try to draw a triangle with these side lengths, we would find that the two shorter sides cannot connect to form a triangle with the longer side.

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the answer is minimum value of (3,4)

Jordan's average rate over the last 2 hours of her trip is 9 miles/hour.

To find Jordan's average rate over the last 2 hours of her trip,

we need to calculate the distance she traveled during that time period.

We know that Jordan was initially 20 miles away from her house and after 4 hours, she was 38 miles away. Therefore, she traveled a distance of 38 miles - 20 miles = 18 miles in the first 4 hours.

To find her average rate over the last 2 hours, we divide the distance traveled in those 2 hours by the time taken. The distance traveled in the last 2 hours is 18 miles (since she traveled 18 miles in the first 4 hours), and the time taken is 2 hours.

Average rate = Distance / Time

Average rate = 18 miles / 2 hours

Average rate = 9 miles per hour

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The correct answer is option A. The bonds have a yield 3.466 percentage points greater than that of the stocks.

To determine which aspect of Maria's investment in Prince Waste Collection offers a greater percent yield, we need to compare the yields of the bonds and the stocks.

First, let's calculate the yield for the bonds:

Market value of each bond = $1,000 (par value) × 97.917% = $979.17

Yearly interest received from each bond = $1,000 (par value) × 7.7% = $77

Yield for the bonds = (Yearly interest received / Market value of each bond) × 100

Yield for the bonds = ($77 / $979.17) × 100 ≈ 7.87%

Next, let's calculate the yield for the stocks:

Cost of each stock = $19.33

Yearly dividend received from each stock = $0.85

Yield for the stocks = (Yearly dividend received / Cost of each stock) × 100

Yield for the stocks = ($0.85 / $19.33) × 100 ≈ 4.40%

Now, we can compare the yields:

Yield for the bonds = 7.87%

Yield for the stocks = 4.40%

To find the difference in percentage points, we subtract the yield for the stocks from the yield for the bonds:

7.87% - 4.40% ≈ 3.47%

Therefore, the correct answer is option A. The bonds have a yield 3.466 percentage points greater than that of the stocks.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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Answer:

One taco costs $3.75.

Step-by-step explanation:

Let x = cost of taco

You order 2 tacos: 2x

You add a salad: 2x + 2.5

You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)

You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3

The total you pay is $13.80

1.08(2x + 2.5) + 3 = 13.80

Subtract 3 from both sides.

1.08(2x + 2.5) = 10.8

Divide both sides by 1.08

2x + 2.5 = 10

Subtract 2.5 from both sides.

2x = 7.5

x = 3.75

One taco costs $3.75.

John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Answer:

The answer is: (1, -10)

The Hindu-Arabic numeral system is superior to other numeral systems because of its invention of the number 0. This allows for the representation of the concept of nothingness or absence, which allows for the development of more advanced mathematical operations such as negative numbers and decimal fractions.

The two purposes of numerals or digits are to show the cardinal value (how many) and to show the place value (10s, 100s, 1000s). The cardinal value is the actual quantity of a number, while the place value is the position of a digit in a number, which determines its value in relation to other digits.

The natural numbers are the numbers used in a counting process and do not include 0. They include the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on to infinity. The principle of closure is the idea that certain operations, such as addition and multiplication, will always result in a natural number when performed on natural numbers. However, subtraction and division do not result in natural numbers in all cases.

Integers are positive and negative numbers that start at 0 and expand infinitely in both directions. They are closed under addition, multiplication, and subtraction. However, division is not closed under integers.

Rational numbers are numbers that can be expressed as the quotient of two integers. Irrational numbers are non-terminating, non-repeating decimals.

The three axioms of equality are the reflexive property (A = A), the symmetric property (if A = B, then B = A), and the transitive property (if A = B and B = C, then A = C).

The commutative property states that the order of the numbers does not affect the result in operations such as addition and multiplication. The associative property states that the grouping of numbers does not affect the result in operations such as addition and multiplication. The distributive property states that multiplication can be distributed over addition.

The unity element for multiplication is the number 1, which serves as the identity element for multiplication. The zero element for addition is 0, which serves as the identity element for addition. Dividing by 0 is an error and not allowed.

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Answer:

1:3

Step-by-step explanation:

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

Step-by-step explanation:

63/20 already in the simplest form. but also it can be written as 3,15 in decimal form

Answer:

6760

Step-by-step explanation:

4% of 6500

= (6500 x 4) ÷ 100

= 26000 ÷ 100

= 260 $

6500 + 260 = 6760$

The indicated critical value of z₀.₁₁ is 0.54.

What does it mean round to two decimal places?

The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test.

The critical value of z₀.₁₁ is z₀.₁ ₊ ₀.₀₁ = 0.5438

The round to two decimal places of 0.5438  is 0.54.

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Answer:

The answer is 15 - p = k

The meaning of p (10) will be;

⇒ The plant's height in centimeters after 10 weeks.

A relation between a set of inputs having one output each is called a function.

Given that;

The height of a plant in centimeters is a function of its age in weeks, w.

And, p represent this function.

Now,

Since, p represent this function.

Hence, The value of p (10) means is,

⇒ p (10) = The plant's height in centimeters after 10 weeks.

Thus, The correct statement is,

⇒ The plant's height in centimeters after 10 weeks.

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After 5 sec Michelle is 22 feet away from the detector

After 7 sec she is 20 feet away from the detector

After 10 sec she is 11 feet away from the detector

What is speed ?

The distance that an item travels in relation to the amount of time it takes to do so may be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.

For the first seconds she walked 2 feet per second but away from the detector

So,

12-5 x (-2)= 22 feet

For the next two seconds, she walks at a rate of 1 foot per second towards the detector

So,

22-2(1)= 20 feet

For the last 3 seconds, she walks at a rate of 3 feet per second towards the detector

So,

20-3(3)= 11 feet

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Answer:

    3631.681108 ft^2

Step-by-step explanation:

The surface area of a cylinder is

SA = 2pi r^2 + 2pi r h  where r is the radius and h is the height

    = 2pi (17)^2  + 2 pi (17)(17)

    = 578pi +578pi

    = 1156pi

Approximate pi with the pi button

    3631.681108 ft^2

No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.

Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.

Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.

Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.

Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.

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Answer:

x = 3

Step-by-step explanation:

Formula

CE * DE = AE * BE

Notice how the chords cut each other. Also notice how the segments are equated. See the givens.

Givens

CE = 3

DE = x + 11

AE =x+3

BE = 7

Solution

3*(x + 11) = 7(x + 3)               Remove the brackets

3x + 33 = 7x + 21                 Subtract 21 from both sides

3x + 33 - 21 = 7x                  Combine the left

3x + 12 =7x                          Subtract 3x from both sides

12 = 7x - 3x

12 = 4x                                Divide by 4

12/4 = 4x/4

x = 3

The mean weight of 7 grapefruits will be 7 pounds and the standard deviation will be 0.84 pounds.

The mean weight of R will be 3 pounds and the standard deviation will be 0.36 pounds.

The mean weight of Q will be 4 pounds and the standard deviation will be 0.48 pounds.

a. The mean and standard deviation of 7 grapefruits will be 7 times the mean and standard deviation of a single grapefruit, respectively.

b. If G represents the weight of a single grapefruit, then

R = G + G + G

= 3G.

The mean and standard deviation of R will therefore be 3 times the mean and standard deviation of a single grapefruit, respectively.

c. If T represents the total weight of all 7 grapefruits, then

Q = T - R

= 7G - 3G

= 4G.

The mean and standard deviation of Q will be 4 times the mean and standard deviation of a single grapefruit, respectively.

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put the whole thing after f = in the first equation

so

x^2 means x squared

so

u = 2 (4x - 4x^2) + 14

so

u = 8x - 8x^2 + 14