What is the product of 17 and 41

Answer:

Yes it is because non of the numbers in the domain repeat.

Step-by-step explanation:

To find the greatest common factor, we take these numbers and analyze them into prime numbers

Example : 48 = 2^4 x 3
112 = 2^4 x 7
80 = 2^4 x 5

Now, the greatest common factor of them all will be the prime number (with power) that they all have in common.

So, they all have 2^4 -> Their greatest common factor is 2^4


Side note : Example with 10 and 80, we analyzed to 2 x 5 and 2^4 x 5, here their common prime numbers are actually 2 and 5 -> 2 x 5 = 10
(So, if there is a prime number and a prime number that is powered, we take the original one)

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

9.9375

Step-by-step explanation:

3/8[-8+16-(-2.5)]

=3/8(-8+16+2.5)

=3/8(26.5)

=9.9375

Answer:what grade is this?

Step-by-step explanation:

The area of rectangle ABCD is equal to 20 square units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance AB = √[(-5 + 6)² + (2 - 4)²]

Distance AB = √[1 + 4]

Distance AB = √5

For the width, we have:

Distance AD = √[(2 + 6)² + (8 - 4)²]

Distance AD = √[64 + 16]

Distance AD = √80

Mathematically, the area of a rectangle can be calculated by using this formula:

Area of a rectangle = AD × AB

Area of a rectangle = √80 × √5

Area of a rectangle = √400

Area of a rectangle = 20 square units.

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Answer:

how do you solve it the problem

Answer:

For the first one the slope is 4

For the second one the slope is 0

Step-by-step explanation:

Subtract 4x from both sides of the equation

-y=6-4x

Multiply each step in -y=6-4x by -1

y=-6+4x

For slope intercept form y=mx+b or y=4x+6

Slope : 4

Y intercept is (0,6)

To find the x intercept substitute in 0 for y and solve for x. To find the y intercept substitute in 0 for x and solve for y

X intercept: (9/5, 0)

Y intercept: (0,-9)

Slope is 0 using the formula y=mx+b

The probability of selecting a CEO with an age of at least 61 years is approximately 0.0099 or 0.99%.

To find the probability that the age of a randomly selected CEO will be at least 61 years, we need to use the properties of the standard normal distribution.

Given that the average age of CEOs is 54 years and the standard deviation is 3 years, we can assume that the variable follows a normal distribution. The normal distribution is a bell-shaped curve that is symmetric around the mean.

To calculate the probability, we first need to standardize the value of 61 using the z-score formula. The z-score measures the number of standard deviations a given value is from the mean.

The z-score formula is given by:

z = (x - μ) / σ

Where:

x is the value we want to standardize (61 in this case),

μ is the mean of the distribution (54 in this case),

and σ is the standard deviation of the distribution (3 in this case).

By substituting the values into the formula, we get:

z = (61 - 54) / 3

z = 7 / 3

z ≈ 2.3333

The resulting z-score is approximately 2.3333.

Now, we need to find the probability to the right of this z-score in the standard normal distribution. This represents the probability of selecting a CEO whose age is at least 61 years.

Using a standard normal distribution table or a calculator, we can look up the area to the right of the z-score of 2.3333. The probability to the right of 2.3333 is approximately 0.0099.

Rounding to 4 decimal places, we find that the probability that the age of a randomly selected CEO will be at least 61 years is 0.0099.

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Based on the definitions of vertical angles and linear pair, the values of the angle measures are:

m<1 = 117°

m<4 = 63°

Two angles that can be formed when a transversal crosses two parallel lines are:

Given the image above, we know that:

Measure of angle 2 = 63°

Therefore:

m<1 = 180 - m<2 [linear pair]

m<1 = 180 - 63

m<1 = 117°

m<4 = m<2 [vertical angles]

m<4 = 63°

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Answer:

x = 20

Step-by-step explanation:

The 2 given angles are adjacent on a straight line and sum to 180° , then

123 + 2x + 17 = 180

140 + 2x = 180 ( subtract 140 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Did you forget to add a picture or something? I don't know how to answer this question properly.  

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

960 people.

Step-by-step explanation:

x = 0.6x + 384

x - 0.6x = 384

0.4x = 384

x = 384 / 0.4 = 960.

Answer: 6 candies

Step-by-step explanation:

So if the teacher buys 12 packs of 8 candies she will have 96 candies in total giving each of the 30 students 3 candies. That leaves her with 6 candies to enjoy by herself.

Answer:

h(16) = 5

Step-by-step explanation:

h(x) = x - 11;

h(?) = 5

(16) - 11 = 5

? = 16

Value of x is 6

Given:

h(x) = x - 11

And

h(x) = -5 (Incomplete)

Find:

Value of x

Computation:

Given that;

h(x) = x - 11

By putting value h(x) in given equation;

h(x) = x - 11

-5 = x - 11

By transfer value of -11 LHS side

x = 11 - 5

x = 6

Value of x = 6

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Answer:

Incorrect

Step-by-step explanation:

When you subtract a negative number it changes it to adding a positive number according to math rules.

6 - (-8) -> 6 + 8

Best of Luck!

Answer:

if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.

Step-by-step explanation:

If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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The cosine value of θ is approximately -0.7071.

We know that:

sin(θ) = √(3/2)

Using the trigonometric identity:

sin^2(θ) + cos^2(θ) = 1

We can find cos(θ) by first finding sin^2(θ) and then solving for cos(θ):

sin^2(θ) + cos^2(θ) = 1

cos^2(θ) = 1 - sin^2(θ)

cos(θ) = ± √(1 - sin^2(θ))

Since cos(θ) is negative, we can choose the negative square root:

cos(θ) = - √(1 - sin^2(θ))

Substituting sin(θ) = √(3/2), we get:

cos(θ) = - √(1 - 3/2)

cos(θ) = - √(1/2)

cos(θ) = - √2/2

Since cos(θ) is negative and given cos(θ) < 0, we have:

cos(θ) = - √2/2

Therefore, cos(θ) is approximately -0.7071.

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Answer: 21/8 or 2 and 5/8

Step-by-step explanation:

Answer: $11,870.32

Step-by-step explanation:

Use a compound interest formula for this as it shows what happens when when something increases at a certain rate per period.

= Amount * (  1 + rate) ^ no. of periods

= 10,368 * ( 1 + 7%) ²

= 10,368 * 1.1449

= $11,870.3232

= $11,870.32

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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A graphing calculator is a handheld computer that is capable of plotting graphs and solving mathematical equations. It has a variety of functions that make it an excellent tool for solving problems related to algebra, geometry, and calculus. One of the most important applications of a graphing calculator is in the field of factoring polynomials.

In this essay, we will discuss how the graphing calculator can be used along with the factor theorem to make factoring polynomials more efficient.  Factoring polynomials is an important concept in algebra. It is used to simplify expressions and solve equations.

The graphing calculator can be used to find the zeros of a polynomial. To do this, we first need to enter the polynomial into the calculator. Once we have done this, we can plot the graph of the polynomial. The zeros of the polynomial are the x-intercepts of the graph.

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Answer:

Well, count out how many nickels can go in $3.90. Then count out how many quarters. Make sure there are 6 more quarters than nickels, and make sure it all adds up to $3.90

Hope this helped! <3

Answer:

Your answer is -37.

Step-by-step explanation:

g(-6)=5(-6)-7

g(-6)=-30-7

g(-6)=-37

The slope of the line is 7/6.

In mathematics, slope refers to the steepness or incline of a line, and is a measure of how much the line rises or falls as it moves horizontally between two points.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:

Slope = (y₂ - y₁) / (x₂ - x₁)

Here we have

coordinates of points are (2, 3) and (62, 73)

Take (x₁, y₁) = (2, 3) and (x₂, y₂) = (62, 73)

Using the above formula,

slope = (73 - 3) / (62 - 2)

= 70 / 60

= 7 / 6

Therefore,

The slope of the line is 7/6.

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Answer:

10

Step-by-step explanation:

Equation : 3x + 2 = 32

3x=30

x=10