Find all the factor pairs for 84 and complete the equations.
84 =
X 84
84 = 2 x
84 = 3 x
84 = 4 x
84 = 6 x
84 =
X 12

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

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

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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Answer:

the answer is A

Step-by-step explanation:

ignore this part

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

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

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Answer:

m=7

Step-by-step explanation:

Answer: 1. Order the number from smallest to largest:

6, 7,8, 8, 9,9, 9, 9, 9,9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16

Since the number of scores is even, the median is the average of the middle scores:

The first quartile is the median of the data values below the median (or at 25% of the data):

The third quartile is the median of the data values above the median (or at 75% of the data):

The interquartile range IQR is the difference of the third and first quartile:

IQR=13-10=3

2.The whiskers of the boxplot are at the minimum and maximum value. The box starts at the lower quartile, end at the upper quartile and has a vertical line at the median.

The lower quartile is at 25% of the sorted data list, the median at 50% and the upper quartile at 75%.

[Graph]

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

The equation of the line is given as follows in slope-intercept form:

We can calculate the value of b with the data given in the statement, like this:

The equation would be:

Answer:

Step-by-step explanation:

Plug in 6 for x for g(x) and f(x)

f(6) = 2(6)⁵ = 15,552

g(6) = 10 x 4⁶ = 40,960

15,552 < 40,960

f(6) < g(6)

Answer:

Wrong

Step-by-step explanation:

Type the math problem correctly please.

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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Answer:

Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.

Step-by-step explanation:

(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)

Answer:

1540 cm³

Step-by-step explanation:

V= blh= 14 cm * 22 cm * 5 cm = 1540 cm³

Answer:

1540 cm³

Step-by-step explanation:

This is because the formula for volume is l*w*h so 5*22*14 is 1540

brainliest please

Let's begin by identifying key information given to us:

We will use the Trigonometric ratio (SOHCAHTOA) to solve for d. In this case, we will use ''TOA''

Answer:

2

Step-by-step explanation:

The problem states that people bought different amounts of tickets, which means that they don’t have the same probability of winning. This eliminates options 1 and 4.
This leaves us with 2 options. Because probability always has to add up to 1, number 3 doesn’t work leaving us with Option 2.

Answer: the answer is B

got it correct on edge

Step-by-step explanation:

Answer:

A: AB corresponds to FG

Step-by-step explanation:

The question is asking for which statement if not true/false.

Answer choice A is false because when you turn the rectangle, AB does not end up where FG is. Instead, AB ends up where EF is. Also,  the length of AB is 6 units, while the length of FG is 4 units. So, they cannot correspond to each other.

The missing parts of the statements using trigonometric ratios are respectively:

trigonometric ratio

0.6428

x feet

90 feet

45 ft

30°

The angle of depression is simply the same as the angle of declination as both are formed below the horizontal axis with a downward slope.

Thus, if the surveyor knows the angle of declination, then he can use trigonometric ratio to get the length X in the diagram.

The trigonometric ratio to be used is cosine since we have the hypotenuse and want to find the adjacent side. Thus;

The cosine of a 50° angle is 0.6428

This cosine represents when the length x feet is divided by 90 feet.

Now, if the angle of declination changed to 60°, the cosine would be 0.5 and the new length x will be 90 * 0.5 = 45 ft.

The angle of inclination will be 30°

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Answer:

75 buses needed

Step-by-step explanation:

3,600 people /  each bus holds 48 people = 75

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

The  value is   \(\mu_n  =  73.6\)

Step-by-step explanation:

From the question we are told that

   The total number of students is  \(N =  25\)

    The  number of student that took exam in class is  n  = 24

    The number that took make up exam is  k  =  1

     The  average score of the first 24 students is  \(\mu  =  74\)

       The  standard deviation is \(\sigma  =  8.9\)

      The  average score of the student who took make up test is \(\= x  =  64\)

Generally the new average is mathematically represented as

      \(\mu_n  =  \frac{( n * \mu ) +  \= x }{N}\)

      \(\mu_n  =  \frac{( 24 * 74 ) +  64 }{25}\)

       \(\mu_n  =  73.6\)

Answer: the answer to the question would be b, 43.4

Step-by-step explanation:

Answer:

perimeter is add up all the values on the sides

5+3+4=12

hope it helps :)

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS  is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.

Here,

Given:

we have to solve the system of equations given. .Each equation is added together to remove the variable Y.

2x + y = 4  

+

3x - y = 6

________

=> 5x =10

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

x =10 / 5 = 2

⇒ x=2

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The marginal cost of producing the next unit of output always affects the average total cost, so the marginal cost curve always intersects the average total cost curve at its lowest point.

The difference in overall production costs caused by creating or producing one more unit is known as the marginal cost.

By producing at the point where marginal cost (MC) equals marginal revenue, a business can optimize its earnings (MR).

Because fixed costs are fixed regardless of output levels, larger production spreads the total fixed cost over more units, resulting in a lower fixed cost per unit.

Production levels affect variable costs, so increasing the number of units will increase those costs.

Companies need to be aware of the situations when expanding production entails step costs as a result of shifting relevant ranges.

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Answer:

  c.  3 ft by 4 ft by 5 ft

Step-by-step explanation:

You want to know which sets of measurements can form a triangle.

The triangle inequality requires ...

  a + b > c

for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.

Only the side lengths 3 ft, 4 ft, 5 ft will form a triangle.

__

Additional comment

As we said the other arrangements of the triangle inequality are also satisfied for these numbers:

  4 + 5 > 3

  3 + 5 > 4

The garden with side lengths 3, 4, 5 will have the shape of a right triangle.

Answer:

x = 34/13

Step-by-step explanation:

3(5x - 6) + 2(x + 8)

15x - 18 = 2x + 16

15x = 2x + 34

13x = 34

x = 34/13

Best of Luck!

Answer:

17x-2

Step-by-step explanation:

3 (5x - 6) + 2 (x + 8)

Distribute

15x -18 + 2x+16

Combine like terms

17x -2

Given:

To determine the solutions of the given system of equations, we first solve for x in 9x-3y=-6:

Next, we substitute x =(y-2)/3 into 5y=15x+10. So,

Since 5y=5y is redundant information, this is a dependent system. Therefore, the given system of equations have infinitely many solutions.