Pls help with these two equations. Pls

The precision of the estimate decreases when standard error of an estimate when the sample size in a SRS decreases. So, the correct answer is D).

The standard error of an estimate measures the variability of sample means around the population mean. As the sample size in a simple random sample (SRS) decreases, the sample mean becomes less representative of the population mean, resulting in more variability or less precision in the estimate.

The standard error increases as the sample size decreases because there is more uncertainty in the estimate due to the smaller sample size. Therefore, decreasing the sample size will increase the margin of error and decrease the precision of the estimate. So, the correct option is D).

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The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

(-8,1)

Step-by-step explanation:

You can substitute one equation into the other to work this out.

Since y=2x+17, we can replace y in the first equation with 2x+17, giving a result of -x+2x+17=9.

From there, you can combine the x (-1x+2x=1x) to get x+17=9.

Subtracting 7 from both sides isolates x, leaving x=-8.

We can use the x value to work out the y by substituting it into either equation (I'm going to use the second one).

This gives y=2×-8+17, which can be solved to y=-16+17, and further to y=1.

This makes the point of intersection (-8,1), as those are the shared values.

**This involves simultaneous equations, which you may wish to revise. I'm always happy to help!

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

Answer:

5

Step-by-step explanation:

Convert mixed number to an improper fraction... 15/8 then divide

15/8 divided by 3/8 15/3=5

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Polynomials are divided using synthetic division by the simplified form of long division.

Polynomials are divided using a technique called synthetic division, which uses a condensed version of long division. The procedures listed below can be used to divide a polynomial P(x) by a binomial of the form x - c (where c is a constant):

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Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

94 degrees

Step-by-step explanation:

triangle is 180

so 180-74-20=86

The exterior angle is 74+20=94

94 is exterior angle

Answer:

x = 94°

Step-by-step explanation:

Any triangle has three angles whose measures add up to a total of 180°.

This triangle has two known angle measures. First, find the missing interior angle measure.

180 - (74 + 20)

180 - 94

86

The missing interior angle's measure is 86°. An exterior angle is supplementary to its adjacent interior angle, which means that the measure of the interior angle plus the exterior angle measure is 180.

180 - 86

94

Another way to find out a missing exterior angle measure is to simply add the measures of the two nonadjacent interior angles.

74 + 20

94

I hope this helped :)

Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.

Explanation:

Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.

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Answer:

  d = 8 mm

Step-by-step explanation:

You want the length of the other diagonal of a rhombus when one of them has length 35 mm and the area of the rhombus is 140 mm².

The area of a rhombus is half the product of the lengths of the diagonals:

  A = 1/2(d1)(d2)

  140 mm² = 1/2(35 mm)(d)

  (280 mm²)/(35 mm) = d = 8 mm

The length of the missing diagonal is 8 mm.

Answer:

3

Step-by-step explanation:

3x-3=2x

3x-2x=3

x=3

Answer:

x=3

Step-by-step explanation:

3x - 3 = 2x

-3x -3x

-3 = -x

The x cannot be a negative so you divide both sides by -1 and then the answer becomes x=3

The measure of AB is 48/11.

To find the measure of AB, we need to first find the value of x.

Since D is the midpoint of AC, we know that AD = DC. Similarly, since E is the midpoint of BC, we know that BE = EC.

This means that we can write:

AB = AD + DB
and
AB = BE + EC

But since AD = DC and BE = EC, we can also write:

AB = DC + DB
and
AB = EC + DB

Since DC + DB + EC = AC and we know that DE = DC + EC, we can substitute to get:

AB = DE + DB

Now we can substitute the given values:

6x + 22 = -5x + 35 + DB

Simplifying:

11x = 13

x = 13/11

Now we can find the measure of AB:

AB = 6(13/11) + 22

AB = 48/11

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The mean hourly snowfall is of 10/3 cm per hour.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The mean concept is also used to obtain the average rate of change in a data-set, which is given by the change in the output divided by the change in the input.

In this problem, we have that the total snowfall increased by 10 cm in 3 hours, hence the mean hourly snowfall is given as follows:

10/3 cm per hour.

Which is the simplest form of the fraction, as 10 is not divisible by 3.

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Consequently, the equation (f+g)(1) = f(1) + g(1) = -5 + 6 = 1 is true.

Function denotes a certain goal, purpose, or type of employment. Office is frequently used to refer to a task or service connected to a trade, profession, or unique interaction with others. the zeroth-degree polynomial function. Linear Function: The first-degree polynomial function. Quadratic Function: The degree two polynomial function. Cubic Function: The degree three polynomial function.

The values of f(x) and g(x) must be added in order to determine the value of (f+g)(1).

\(x = 1:f(1) = -3(1)^2 - 2 = -5g(1) = 4(1) + 2 = 6\)

Therefore, (f+g)(1) = f(1) + g(1) = -5 + 6 = 1.

So the value of (f+g)(1) is 1.

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The expression is [(4^10)×2]/q.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

Here, we have,

given that,

raise 4 to the 10th power, double the result, then divide what you have by q

so. we get,

[(4^10)×2]/q

Hence, The expression is [(4^10)×2]/q.

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The total price of 2 bags of apples and 3 bags of oranges can be calculated by adding 2 times the price of a bag of apples to 3 times the price of a bag of oranges.

To determine the total price of 2 bags of apples and 3 bags of oranges, you need to know the price per bag of apples and the price per bag of oranges. Let's assume the price per bag of apples is $A and the price per bag of oranges is $O.

The total price of 2 bags of apples would be 2 * A, and the total price of 3 bags of oranges would be 3 * O. To find the overall total price, you can simply add these two amounts together:

Total price = (2 * A) + (3 * O)

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The inverse of the matrix  \(\left[\begin{array}{cc}11&-5\\3&-1\end{array}\right]\) is the matrix \(\left[\begin{array}{cc}\frac{-1}{4} &\frac{5}{4} \\\\\frac{-3}{4} &\frac{11}{4} \end{array}\right]\) .

The inverse of a matrix A is calculated by the formula:

A' = (1/|A|)(Adj A),

where A' represents the inverse of matrix A,

|A| represents the determinant value of matrix A, and

Adj A represents the Adjoin matrix of matrix A.

So, to calculate the inverse of the matrix  \(\left[\begin{array}{cc}11&-5\\3&-1\end{array}\right]\) , we will first calculate its Adj.

Adj = \(\left[\begin{array}{cc}-1&-3\\5&11\end{array}\right] ^{T}\)= \(\left[\begin{array}{cc}-1&5\\-3&11\end{array}\right]\).

Now, we calculate |A| = 11*(-1) - (-5)*3 = -11 + 15 = 4.

Therefore A' = (1/|A|)(Adj A),

or, A' = \((1/4)*\left[\begin{array}{cc}-1&5\\-3&11\end{array}\right]\) ,

or, A' = \(\left[\begin{array}{cc}\frac{-1}{4} &\frac{5}{4} \\\\\frac{-3}{4} &\frac{11}{4} \end{array}\right]\) .

Therefore, the inverse of the matrix  \(\left[\begin{array}{cc}11&-5\\3&-1\end{array}\right]\) is the matrix \(\left[\begin{array}{cc}\frac{-1}{4} &\frac{5}{4} \\\\\frac{-3}{4} &\frac{11}{4} \end{array}\right]\) .

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The ratio of right answers to wrong answers is 5 : 1

Ratio displays the relationship that exists  between two values. It shows the number of times a value is contained in another value.  

In order to determine the answer, the following information is needed:

Right answers : wrong answers

10 : 2

Express in simplest terms by dividing both numbers by 2

5 : 1

To determine the answer, express the right and wrong answers as ratios in its simplest form

Please find attached an image of the diagram needed to answer this question.

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The coordinate of the vertex B after the transformation of the given trapezoid is (-2, 2).

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

As per the given graph, the coordinate of vertex B is (-5, 4).

After the translation (x, y) → (x + 3, y - 2), the new coordinate can be obtained as,

(-5, 4) → (-5 + 3, 4 - 2)

⇒ (-2, 2)

Hence, the coordinate of B after the transformation is (-2, 2).

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The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

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Answer:

Yes they are congruent

Option B is correct

Step-by-step explanation:

Opisite sides of parallelogram are congurent so,

BA is congruent to CD (side)

And

BE I congruent to ED (Side)

AE is congruent to EC (Side)

So according to side-side-side congurence theorem triangle ABE is congruent to triangle CDE

Hope you understand :)

The x value when y = 29 implies that the length in inches when the weight of the specie is 29

The given parameters are:

The plot is about the relationship between the length in inches and the weight of a certain species of catfish

This implies that

When the graph is plotted, the x value when y = 29 implies that the length in inches when the weight of the specie is 29

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

12/15

Step-by-step explanation:

If the probability of drawing a read marble is 3/15

Then that would just make the probability of NOT drawing a red marble 12/5

The present value of $100,000 due 11 years in the future and invested at 9% compounded continuously is $38,753.29. This means that if you invested $38,753.29 today, it would grow to $100,000 in 11 years at 9% compounded continuously.

The present value formula for an amount due t years in the future and invested at an interest rate of k, compounded continuously, is:

P0 = P / (1 + k)^t

where:

P0 is the present value

P is the amount due in the future

t is the number of years

k is the interest rate

In this case, we have:

P = $100,000

t = 11 years

k = 9% = 0.09

So, the present value is:

P0 = $100,000 / (1 + 0.09)^11 = $38,753.29

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Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42