how do u work out 1/2(2y+4)=-6

64 observations were randomly selected at random from a population of 500. the population standard deviation is 16.The standard deviation of the sample mean is 4 (16/√64).

The standard deviation of the sample mean is calculated by dividing the population standard deviation (16) by the square root of the sample size (64).

Consequently, the sample mean's standard deviation is

16/√64 = 4.

This means that the expected spread of the sample means is 4, which is less than the population standard deviation of 16. This is because the sample is smaller than the population, so the sample standard deviation will be smaller than the population standard deviation.

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The approximate internal rate of return (IRR) on this project is approximately 17.06%.The IRR is expressed as a percentage and serves as an indicator of the project's profitability.

To calculate the approximate internal rate of return (IRR) for the project, we need to find the discount rate at which the present value of cash inflows equals the initial investment cost. Here are the steps to solve this question:

Step 1: Calculate the present value (PV) of cash inflows:

PV = Cash inflow / (1 + Discount rate)^n

Where:

Cash inflow = $36,000 (annual cash inflow)

Discount rate = Rate of return / 100 (convert percentage to decimal)

n = Number of years

Given:

Rate of return = 8%

Initial investment cost = $91,116

Cash inflow = $36,000 (for 3 years)

Step 2: Set up the equation:

\(\$91,116 = \\$36,000 / (1 + Discount rate)^1 + $36,000 / (1 + Discount rate)^2 + $36,000 / (1 + Discount rate)^3\)

Step 3: Solve for the discount rate (IRR):

To solve this equation, use numerical methods like trial and error, or use spreadsheet software or financial calculators that have built-in functions to calculate the IRR. These tools can provide the exact IRR.

Approximately, the internal rate of return (IRR) on this project is 17.06%.

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When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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if i tell you the truth i dont even know

Answer:

k = 5

Step-by-step explanation:

20/4 = 5

The solution set is x ≥ 8.

Set is a collection of distinct objects, usually called elements or members. Set is an abstract concept which can be visualized as a collection of distinct objects gathered together into a group, which can be mathematically defined in terms of its elements. A set is an unordered collection, meaning that the order of its elements does not matter. Sets are typically denoted using curly braces, {}, and the elements of the set are listed in comma-separated form within the braces.

Part A:
The absolute value of the quantity one fifth times x plus 2 end quantity plus 4 is greater than or equal to 6

|1/5x + 2| + 4 ≥ 6

Subtract 4 from each side of the inequality:

|1/5x + 2| ≥ 2

Divide each side of the inequality by 1/5:

|x + 2| ≥ 10

Subtract 2 from each side of the inequality:

|x| ≥ 8

The solution set is x ≥ 8.

Part B:
The graph of the solution set will be a straight line with a slope of zero, passing through the point (8, 0). It will extend infinitely to the right of this point, representing all values of x equal to or greater than 8.

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Answer:

C. 56

Step-by-step explanation:

252/4.5=56

Using the formula you can get this answer

Answer:

I answered :)

Step-by-step explanation:

DONT GET MAD, YOU SAID WHOEVER ANSWER FIRST GETS BRAINLIEST

Answer is A

Answer:

A

Step-by-step explanation:

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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Answer:

x=4

Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by  a negative makes a possative soit equallls x=4

Answer: 17

Step-by-step:

Nikils soccer team has 13 players. nikil has 4 fewer players on his team than roses team. How many players are on roses team?

nick has 13 players they have 4 less then roses team that means rose has 4 more tram members then nikils team

that would mean you add 13+4 to get roses team

13 + 4 =17

The quadrilateral is a trapezoid. The value of x is 5 by applying midsegment theorem for trapezoids.

The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.

The side with length 21 units and 27 units are parallel to each other.

From the given diagram, the expression below is true:

5x-1 = (21 + 27)/2

2(5x - 1) = 21 + 27

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

x = 50/10

x = 5

Hence the value of x is 5

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The image of this question is probably this.

Answer:

Price went up, $24.64/year for 28 years

Step-by-step explanation:

Change Year = 28

Change Price = 690

Average rate = 690/28 = 24.64

Answer: 156,000 is the right answer.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 156,000 possibilities are there, and option c is correct.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Thus, the number of possibilities is given by:

N = 26 x 25 x 24 x 10 = 156,000.

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-7x+6

thats the answer have fun:)

The result of the synthetic division is x - 6 = 1 - 6x.

The quotient polynomial is 1 - 6x, and the remainder is zero.

To perform synthetic division for the given problem, we need to divide the polynomial x^2 - 12x + 36 by the binomial x - 6.

Write the coefficients of the polynomial in descending order: 1, -12, 36.

(If any terms are missing, we would use a placeholder with a coefficient of zero.)

Set up the synthetic division table:

 6 │ 1  -12  36

Bring down the first coefficient, which is 1, into the first row of the synthetic division table:

 6 │ 1  -12  36

   └─────

 6 │ 1

Multiply the divisor (6) by the value in the bottom row (1), and write the result in the next row:

 6 │ 1  -12  36

   └─────

     6

Subtract the result obtained in step 4 from the corresponding coefficient in the original polynomial:

 6 │ 1  -12  36

   └─────

     6

   ────

   -6

Bring down the next coefficient, which is -12, into the next row of the synthetic division table:

 6 │ 1  -12  36

   └─────

     6

   ────

   -6  -12

Repeat steps 4 and 5 until all coefficients have been processed:

 6 │ 1  -12  36

   └─────

     6

   ────

   -6  -12

     0

The last value in the bottom row represents the remainder of the division, which is zero in this case. The other values in the bottom row represent the coefficients of the quotient polynomial.

Therefore, the result of the synthetic division is:

x - 6 = 1 - 6x

The quotient polynomial is 1 - 6x, and the remainder is zero.

Note: Synthetic division is used to divide a polynomial by a linear binomial. In this case, the divisor x - 6 is a linear binomial.

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The synthetic division result is x + 7, with a remainder of 42.

To perform synthetic division for the expression (x^2 - 12x + 36)/(x - 6), we need to divide the polynomial by the binomial (x - 6). Synthetic division is a method used to simplify the division process and obtain the quotient without explicitly performing long division.

First, we write down the coefficients of the polynomial in descending order: 1, -12, 36. Then, we use the divisor (x - 6) and its root value, which is 6, as follows:

6 |  1   -12   36

To start the synthetic division, we bring down the first coefficient, which is 1, and place it on the line:

6 |  1   -12   36

   -----------------

     1

Next, we multiply the divisor, 6, by the result obtained (which is also 6) and write it below the next coefficient, which is -12:

6 |  1   -12   36

   -----------------

     1

    -----

     6

Afterward, we add the values in the second column (1 + 6 = 7) and write the sum below the next coefficient:

6 |  1   -12   36

   -----------------

     1    6

    -----

     7

We repeat this process with the new result, 7, and the next coefficient, 36:

6 |  1   -12   36

   -----------------

     1    6

    -----

     7    42

    ------    

Finally, the last value, 42, represents the remainder of the division. The quotient is obtained from the coefficients in the leftmost column: 1, 7. Therefore, the quotient is x + 7.

In summary, the result of the synthetic division for the expression (x^2 - 12x + 36)/(x - 6) is x + 7, with a remainder of 42.

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Answer: 9 miles

Step-by-step explanation: 12 mph/60 so you can get mpm(miles per minutes)

Multiply the 0.2x45 (0.2 from 12/60 and 45 from how long the first biker had ridden on his bike)

Answer 9 miles  

Step-by-step explanation:

second one is right

I hope

Answer: the answer is B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

The final outside temperature = -6°

Step-by-step explanation:

GIven that :

the outside temperature = -13°

The temperature drops by 9°

But then increases by 16°.

The final temperature can be expressed as:

the outside temperature - temperature drop

= -( 13° - 9°)

= - 22°

it is said that the temperature later increase by 16°

∴  - 22° + 16°

= -6°

The final outside temperature = -6°

There are 3 ways to select a senator from a state if you wish to make a 3-senator committee in which no two senators are from the same state.

There are two senators from each of the 50 states, we wish to create a committee of three senators so that no two senators are from the same state.

Therefore, the total number of ways to choose a 3-senator committee is: 2 C 98 + 3 = 2,941 ways.

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Answer:

2+7=9

450/9 = 50

2( 50) = 100 no concentrate

7(50) or 450 - 100 = 350 ml water

Based on the given information the percent gain is 144%.

Initial production rate = 84 toy robots per day

Present production rate = 205 robots per day

Using this formula

Percent gain=  Increase in production rate /Initial production rate× 100  

Where:

Increase in production rate = 205 - 84 =121

Initial production rate = 84 toy robots per day

Let plug in the formula

Percent gain=121/84×100

Percent gain=144%

Inconclusion the percent gain is 144%.

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Answer:

a-12

d-16

Step-by-step explanation:

sorry gawa gawa kolang yan ehh

Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

Answer:

9 x 1/12 = 4 1/2.

Step-by-step explanation:

Times 9 by 1/2.