Name and describe the use for three methods of standardization that are possible in chromatography? Edit View Insert Format Tools Table 6 pts

To calculate the error interval for x, we must analyse the probable range of values for x before it was rounded to 15.38. Because x was rounded to two decimal places, we know it is between two values.

The biggest number that can be rounded down to 15.38 is 15.375, and the smallest number that can be rounded up to 15.38 is 15.385. As a result, the error range for x is [15.375, 15.385]. The error interval for a rounded integer is the range of possible values for the original number before rounding. The integer x was rounded to 15.38 with two decimal places in this example. To calculate the error interval Consider the highest and lowest feasible numbers for x that might have been rounded to 15.38. We consider the number that ends in.385 for the highest possible value. If x was larger or equal to this value, it was rounded up to 15.39. As a result, the greatest possible value for x is 15.385. Consider the number that ends in.375 for the least feasible value. If x was less than or equal to this value, it was rounded down to 15.37. As a result, the least number that x might have been is 15.375. As a result, the error interval for x is comprised of values ranging from 15.375 to 15.385, inclusive. This might be any number.

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a. The system of equations is

b. For the hexagon

A hexagon is a regular polygon with six sides.

Let x be the acute angles of the hexagon and y be the obtuse angles of the hexagon.

Since he measures of the obtuse angles in the hexagon are 30 more than twice the measures of the acute angles, we have that

y = 2x + 30

Also, we know that the sum of  interior angles of a polygon is (n - 2)180.

Since x  is the interior angle and n = 6, we have that

6x = (n - 2)180.

x = (n - 2)180/6

x = 30(n - 2)

So, the system of equations is

y = 2x + 30 (1) and

x = 30(n - 2)  (2)

Since

y = 2x + 30 (1) and

x = 30(n - 2)  (2)

Substituting n = 6 into (2), we have

x = 30(6 - 2)

x = 30(4)

x = 120

Substituting x = 120 into (1), we have

y = 2x + 30

y = 2(120) + 30

y = 240 + 30

y = 270

So,

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Answer: 1,176

Step-by-step explanation:  -3 times -7 is positive 21.

21 times -8 is negative -168

-168 times -8 is positive 1,176

Thus, Jamie is wrong. In contrast to Bus C, Bus B has less unoccupied seats as a percentage of total seats.

% is a relative number that is used to represent hundredths of the any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage.

Find the complete seating capacity in Bus A first:

Bus A has 28% of the available seats, making its seat count 0.28 x 250 = 70.

Secondly, we can construct an equation system using the number of seats in Bus B compared to Bus C:

The number of seats aboard Bus B will be x.

In that case, Bus C's seating capacity is (2/3)x.

Using the information that there are 250 seats overall, we can find x:

70 (from Bus A) + x (from Bus B) + (2/3)x (from Bus C) = 250

When we simplify this equation, we obtain: (5/3)x = 180

When we solve for x, we get x = 108.

Bus C has (2/3)x = 72 seats, but Bus B has 108 seats.

We can now determine the proportion of vacant seats for each bus:

Out of a total of 108 seats, 38 seats on Bus B are vacant, making the percentage of vacant seats in Bus B (38/108) x 100% = 35.19%.

Out of a total of 72 seats, there are 26 empty seats on Bus C, making the percentage for empty seats there (26/72) x 100% = 36.11%.

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Answer:

what paper is this for this question

the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

Disk/washer method:

\(V = π ∫[ln 8]^8 (e^x)^2 dx\\V = π ∫[ln 8]^8 e^2x dx\\V = π(e^2x/2)|[ln 8]^8\\V = π(e^16 - (e^2(ln 8))^8)/2\\V = (π(e^16 - 64)/2)\)

Cylindrical shells method:

\(V = 2π ∫[ln 8]^8 x(e^x) dx\\V = 2π ∫[ln 8]^8 xe^x dx\\V = 2π(x(e^x/2) - (e^x/2)ln x)|[ln 8]^8\\V = 2π((ln 8)(e^8 - 8) - (e^8/2)ln 8)\\V = (2π(e^8 - 64ln 8 - 4e^8))/2\\V = (π(e^16 - 64 - 8e^8))/2\)

The disk/washer method can be used to solve for the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the area of a ring, which can be formed by subtracting the area of a disk from the area of the washer. In this case, the area of the disk is π(e^2(ln 8))^8 and the area of the washer is π(e^16). The volume is then equal to the integral of the area of the ring, which is π(e^16 - (e^2(ln 8))^8).

The cylindrical shells method can also be used to find the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the  of a cylindrical shell, which can be formed by subtracting the area of the inner cylinder from the area of the outer cylinder. In this case, the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

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Answer:

141.42 or 141.4 since its rounded to the nearest tenth.

Step-by-step explanation:

Formula for this certain question is:

D = \(\sqrt{L^2 + W^2 + H^2}\)

Plug in:

60 cm for length (L)

80 cm for depth (D)

and 100 cm for height (H)

You can also use a calculator online or a physical one.

The only graph that represents functions is grap Y, hence choosing option C is the right response.

The graph that represents a function is graph C, Y. A function is a relation in which each input (x-value) is paired with exactly one output (y-value). In graph Y, each x-value corresponds to only one y-value, satisfying the definition of a function.

Graphs W, X, and Z do not represent functions because they fail the vertical line test, which states that no vertical line should intersect the graph at more than one point.

Graph W has multiple y-values for the x-value of 0, graph X has multiple y-values for the x-value of 5, and graph Z has multiple y-values for several x-values.

Therefore, the only graph that represents a function is graphs C, Y and the correct answer is option C.

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Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

The value of solution of the expressions are,

⇒ 84.05

We have to given that;

The expression is,

⇒ (8 × 10) + (4 × 1) + (5 × 1/00)

Now, We can simplify as;

⇒ (8 × 10) + (4 × 1) + (5 × 1/100)

⇒ 80 + 4 + (5 × 0.01)

⇒ 84 + 0.05

⇒ 84.05

Thus, the value of solution of the expressions are,

⇒ 84.05

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Answer:

{x| x = -7, -6, 2, 11, 3}

Step-by-step explanation:

domain of a relation is the set of values of that act as input

so answer:-

{x| x = -7, -6, 2, 11, 3}

domain is taken as x

By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.

To find f(2),  calculate the sum of the elements in the second row of Pascal's triangle

and subtract the sum of all the elements from the previous rows.

Pascal's triangle is formed by starting with a row containing only 1

and then each subsequent row is constructed by adding the two numbers above it.

The first row of Pascal's triangle is simply 1.

The second row of Pascal's triangle is 1 1.

To calculate f(2),  sum the elements in the second row and subtract the sum of the elements in the previous rows.

Sum of elements in the second row = 1 + 1 = 2

Sum of elements in the first row = 1

This implies, f(2) = 2 - 1 = 1.

Therefore, using Pascal's triangle the value f(2) is equal to 1.

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Answer:

The four ancient centers are the triangles centroid, incenter, circumcenter, and orthocenter.

Step-by-step explanation:

Note that most, but not all, special triangle points therefore qualify as triangle centers

The centers of the triangles are :- Incenter, Orthocenter,  Centroid, Circumcenter, Centroid, Centroid, Orthocenter, Circumcenter, Incenter and Circumcenter.

A triangle center or triangle center is a point in the triangle's plane that is in some sense in the middle of the triangle.

Given that, are triangles, we need to identify the type of the center,

The given types are :- circumcenter, incenter, orthocenter and centroid.

Circumcenter :-

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Incenter :-

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

Orthocenter :-

The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other.

Centroid :-

The centroid is the center point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Therefore,

1) Angle bisector :- Incenter     4) Perpendicular bisector :- Circumcenter

2) Perpendicular drawn :- Orthocenter   5) Centroid

3) Medians intersecting :- Centroid      6) Medians intersecting :- Centroid

7) Perpendicular drawn :- Orthocenter

8) Perpendicular bisector :- Circumcenter

9) Angle bisector :- Incenter   10) Perpendicular bisector :- Circumcenter

Hence, the centers of the triangles are :- Incenter, Orthocenter,  Centroid, Circumcenter, Centroid, Centroid, Orthocenter, Circumcenter, Incenter and Circumcenter.

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The value of the double integral ∫∫D y^2 dA over the triangular region D with vertices (0,1), (1,2), and (4,1) needs to be calculated. The exact numerical value of the integral can be obtained by setting up the appropriate limits of integration and evaluating the integral expression.

The value of the double integral ∫∫D y^2 dA over the triangular region D with vertices (0,1), (1,2), and (4,1) needs to be evaluated.

To evaluate the integral, we need to set up the limits of integration. Since the region D is defined by three vertices, we can divide it into two subregions: a rectangular region and a triangular region.

For the rectangular region, the limits of integration for x are from 0 to 1, and for y, it is from 1 to 2.

For the triangular region, the limits of integration for x are from 1 to 4, and for y, it is from the line connecting the points (0,1) and (1,2) to the line connecting (1,2) and (4,1). The equation of the line connecting (0,1) and (1,2) is y = x + 1, and the equation of the line connecting (1,2) and (4,1) is y = -x + 3.

Thus, the integral can be expressed as the sum of two integrals:

∫∫D y^2 dA = ∫[0,1]∫[1,2] y^2 dy dx + ∫[1,4]∫[x+1,-x+3] y^2 dy dx.

Solving these integrals will yield the final value of the double integral.

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To enlarge this vector \((-12, 18)\) to \(50\)%, or \(-6\) and \(9\), respectively.

In science, anything with both a direction as well as a magnitude is referred to as a vector. They are typically represented by pointing arrows, the height of which denotes the size of the vector.

Lines and forms that have been mathematically specified make up vector pictures. They may therefore be scaled up and down without sacrificing any quality, according to this. They are frequently employed for drawings and logos.

Just multiply every component by half to reduce a vectors \((-12, 18)\) by only a ratio of one-half.

So, the dilated vector is:

\(-12*\frac{1}{2} ,=-6\\18*\frac{1}{2}=9\)

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Answer:

The green box

Step-by-step explanation:

1.26 > 1.026

This is because the tenths value of 1.26 is greater than the tenths value of 1.026.

Answer:

The green box would be your answer.

Step-by-step explanation:

When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.

Answer:

wow um 20,999,999

Step-by-step explanation:

I dont think all of they are REAL friends

Answer: $22.00

Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.

plz mark brainliest:)

The probability of a rating that is between 176 and 214 is,

                         \(P(176\leq x\leq 214)=0.21994\)

Since the credit ratings are normally distributed.

Now,  apply the formula for normal distribution. Which is shown below,

                   \(z=\frac{x-u}{sd}\)

x=credit ratings for applicants.

u=mean.

sd standard deviation.

From the given information,  µ = 210 and   σ = 50

For x = 176,

\(z=\frac{176-210}{50} =-0.68\)

In the normal distribution table, the probability corresponding to the -0.68 z-score is 0.25175

For x =214,

\(z=\frac{214-210}{50} =0.08\)

In a normal distribution table, the probability corresponding to the z score of 0.08  is 0.03788

Thus,    

\(P(176\leq x\leq 214)=0.25175-0.03181=0.21994\)

Hence, The probability of a rating that is between 176 and 214 is,

\(P(176\leq x\leq 214)=0.21994\)

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Answer:

c!!

Step-by-step explanation:

Answer:

The range is -7 ≤ y ≤ 8

Step-by-step explanation:

The range is the full measurement of a graph on the y-axis.

I know this can be confusing at times as I had struggles with this in the past

Hopefully, this helps!

Answer:

true

Step-by-step explanation:

Answer:

The probability that the next person asked has two pets is 0.176

Step-by-step explanation:

The given parameters are;

The frequency distribution of the number of pets owned is presented as follows;

Number of Times    \({}\)    Frequency  \({}\)      

None                          \({}\)   354

One                          \({}\)     981

Two                          \({}\)     352

Three                          \({}\)  200

Four                           \({}\)    113

The probability that the next person asked has two pets = Proportion of the sample that own two pets = 352/(354 + 981 + 352 + 200 + 113) = 0.176

Therefore, the probability that the next person asked has two pets = 0.176

Answer:

See below

Step-by-step explanation:

Helping in the name of Jesus.

Answer:

175 feet

Step-by-step explanation:

In 1 full revolution, the bike will travel 42 inches because the diameter of the tire is 21 inches. Any point on the tire will have to go through a whole revolution to be back at the original point which means 21 inches times 2.

So the bike travels 42 inches in 1 revolution then in 50 revolutions it will travel 2100 inches (42 times 50). Now if your convert 2100 inches to feet, you get 175 feet.

Answer:10,500

Step-by-step explanation:

10,000*5%=500

(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.

To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:

x + y = 150 (total load)

The total fuel cost C is given by:

C = F4(x) + Fb(y)

where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:

F4(x) = 0.06x^2 + 11.4x

Fb(y) = 0.07y^2 + 10y

Substituting x = 150 - y, we get:

C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y

Expanding and simplifying, we get:

C(y) = 0.013y^2 - 3.6y + 1710

To minimize C(y), we take its derivative with respect to y and set it equal to zero:

dC/dy = 0.026y - 3.6 = 0

y = 138.46 MW

Substituting y back into x = 150 - y, we get:

x = 11.54 MW

(b) The negative value that is  -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.

To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:

F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5

Fb(75) = 0.07(75)^2 + 10(75) = 1312.5

Therefore, the total fuel cost is:

C = F4(75) + Fb(75) = 2595

If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:

F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25

Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25

Therefore, the total fuel cost is:

C' = F4(37.5) + Fb(37.5) = 1297.5

The net increase in fuel cost per hour is:

ΔC = C' - C = 1297.5 - 2595 = -1297.5

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Answer:

x ≈ 83.533

y = 9105.13

Step-by-step explanation:

Step 1: Substitution

109x = 79x + 2506

30x = 2506

x = 83.533

Step 2: Plug x in

y = 109(83.533)

y = 9105.13

Graphically: