Find the slope, if it exists, of the line containing the pair of points.
(-15,-10) and (-20,- 12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- The slope is _____. (Type an integer or a simplified fraction.)
- The slope is undefined.

The discount given on the cost of the meal is $15

When a government imposes an obligational fee or financial charge on an individual or group in order to raise funds for public projects that support the best facilities and infrastructure, the action is referred to as a tax.

step1

According to the question, we are given the following information

The original cost of the meal = $75

Off coupon = 20%

step2

Required

The number of coupons given

coupon amount = 0.2 * 75

coupon amount = $15

Hence the discount given on the cost of the meal is $15

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If the original price was $75 and Fatima used a 20% coupon, then Fatima saved $15.

    0.20 x 75 = 15

This means the cost of the meal that was taxed was a $60 meal.

Now we also know that after tax, the price of the meal came back to a $75 cost.  This means that the amount of tax was also $15, but it's a $15 tax on a $60 meal, so this is a 25% tax.

    $15 tax / $60 meal = 0.25 = 25%

The trick here is that in the beginning, the savings is based on the $75 meal, while the tax is based on a $60 meal, so the percentages are not the same.

Answer:

a) (-2,0) is the x-intercept of the line.

b) (0,4) is the y-intercept of the line.

c) "2" is the slope of the line.

d) 2x + 4 = y (Equation of the Line)

Step-by-step explanation:

All linear equations have a general form: mx+n.

When we figure out two points on the line, we can use them in this general formula and find out the equation for the line.

We can use x and y intercepts of the line for that, they are also asked to find.

The x-intercept of the line is (-2,0) because this is where the line crosses the x axis, this point is named as x-intercept.

Except the axis, y-intercept has no more difference than x-intercept. So, the y-intercept of a line is where the line crosses the y axis.

We can see that the line crosses y axis at (0,4).

Now, we know two specific points on the line. This means that we can find the slope and write the equation for this line.

We can find the slope using the formula below:

y1 - y0 / x1 - x0 = Slope

This would give us the slope for the line, no matter which point you take as (x1, y1). The order is not important.

If you use the given points on the formula above, you would get "2" as the slope of the line.

In the general form of a linear equation, the coefficient of "x" is equal to the slope of the line. This means that "m" is equal to "2". (y = 2x + n)

Finally, you can use one of the known points to find out the real equation for the line.

Let's use (0,4):

2x + n = y (Use 0 for "x" and 4 for "y" variable.)

We can conclude that "n" is equal to 4.

So, the equation of this line is equal to "2x + 4 = y".

The can is a cylinder with the smallest height and a radius that is the square root of the volume divided by 2[tex]\pi[/tex].

The formula to calculate the volume of a cylinder is given by the product of the base area and its height. The volume of a cylinder = πr2h cubic units.

To find the dimensions of a 12-oz can that can be constructed with the least amount of metal, we need to minimize the surface area of the can while maintaining a volume of [tex]355 cm^3[/tex]. The surface area of a cylindrical can is given by [tex]2\pi r(r+h)[/tex] where r is the radius of the base of the can and h is the height of the can.

Minimizing the surface area of the can is equivalent to minimizing the total material used in constructing the can. This can be achieved by making the height of the can as small as possible while maintaining a volume of 355 cm^3. The volume of a cylindrical can is given by πr^2h,

So the equation is:

[tex]\pi r^2h= 355cm^3[/tex]

We can get the value of h in terms of r by dividing both sides by πr^2

[tex]h= 355cm^3 / (\pi r^2)[/tex]

Now we can substitute this value of h in the equation for the surface area:

[tex]2\pi r(r+h) = 2\pi r(r + 355cm^3 / (\pi r^2))[/tex]

Now we can differentiate the above equation with respect to r and set it equal to zero to find the minimum value of the surface area.

[tex]d(2\pi r(r+h))/dr = 2\pi r + 2\pi (355cm^3 / (\pi r^2)) = 0\\r = sqrt(355cm^3 / (2\pi ))[/tex]

Now we can substitute this value of r back into the equation for the volume of the can to find the corresponding value of h:

[tex]\pi r^2h = 355cm^3[/tex]

h = [tex]355cm^3 / (\pi r^2) = 355cm^3 / (\pi (355cm^3 / (2\pi ))^2)[/tex]

The dimensions of the 12-oz can that can be constructed with the least amount of metal are a radius of sqrt(355cm^3 / (2π)) and a height of 355cm^3 / (π (355cm^3 / (2π))^2).

Hence, the can is a cylinder with the smallest height and a radius that is the square root of the volume divided by 2π.

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Complete question: A soda can is to hold 12 fluid ounces. Find the dimensions that will minimize the amount of material used in its construction, assuming the thickness of the material is uniform?

Answer:

Yes, she needs to buy more

Step-by-step explanation:

4/5 + 1/2 = 8/10 + 5/10 = 13/10 cups of chocolate needed

13/10 > 10/10

13/10-10/10 = 3/10

she needs 3/10 cup of chocolate more

Answer:

there is no way to answer that

Step-by-step explanation:

if anyone gives you a number answer they are lying to you. we need to know how. many people in total viewed it to know the specific number. like if a total of a hundered people viewed it then 8 of them where female and 91 of them were male and 1 was user spevified. get what i am saying?

The solution to the algebraic equation (a + 8/3) = 2/3 is given by a = -2

(a + 8/3) = 2/3

open parenthesis

a + 8/3 = 2/3

collect like terms

a = 2/3 - 8/3

a = (2-8) / 3

a = -6/3

a = - 2

Check:

(a + 8/3) = 2/3

-2 + 8/3 = 2/3

(-6+8) / 3 = 2/3

2/3 = 2/3

In conclusion, -2 is the solution to the unknown in the equation (a + 8/3) = 2/3

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Question 10

[tex]\frac{\sin x}{7}=\frac{\sin 85^{\circ}}{8}\\\\\sin x=\frac{7\sin 85^{\circ}}{8}\\\\x \approx 60.7^{\circ}, 119.3^{\circ}[/tex]

However, the second case does not satisfy the angle sum of a triangle, so [tex]x \approx 60.7^{\circ}[/tex].

Question 12

[tex]\frac{\sin x}{19}=\frac{\sin 34^{\circ}}{12}\\\\\sin x=\frac{19\sin 34^{\circ}}{12}\\ \\ x \approx 62.3^{\circ}, 117.7^{\circ}[/tex]

Both of these cases satisfy the angle sum of a triangle.

Statistic C has the highest variability compared to the other two dotplots, meaning it has a greater range of expected value. This indicates that it has both low bias and high variability, since the actual value of the population parameter is 5.

Statistic C has the highest variability among the three dotplots, indicating that it has the highest range of values. This suggests that it has both low bias and high variability, since the actual value of the population parameter is 5. This means that it is likely to provide the most accurate estimation of the population parameter. On the other hand, Statistic A and B have much lower variability, meaning that their range of values is more restricted. This suggests that they are more likely to be biased, as they are not as likely to accurately represent the actual value of the population parameter. The low variability of these two dotplots also suggests that they are less reliable than Statistic C.

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Answer:

statistic A

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

4x-6=2x+8x; 4x-6=10x; -6=6x; x=-1.

Answer:

x=-1

Step-by-step explanation:

4x-6=2x+8x=

4x-6=10x

-6=10x-4x

-6=6x

x=6/-6

x=-1

Answer: I believe 96.8 degrees F

Step-by-step explanation:

36°C  x 9 ÷ 5 + 32= 96.8

The range, variance, and standard deviation are 8, 21.10, 445.21.

The range, variance, and standard deviation are 99, 40.14,1612

What is data?

Data is a collection of measurements or observations used as a source of information. There are numerous types of data and numerous ways to represent data.

Given data is

43, 41, 48, 47, 49

Arrange them in ascending order:

41, 43, 47, 48,49

The range is (49 - 41) =8

The mean is (41+43+47+48+49)/5 =45.6

Data      deviation from mean    square  deviation

41                         4.6                         21.16

43                         2.6                        6.76

47                         -1.4                        1.96

48                         -2.4                        5.76

49                         -3.4                        11.56

Total                                                  47.2

The standard deviation is s = √[(x-μ)²/N] = 21.10

The variance is s² = 445.21

Given data is

100, 1, 3, 95, 70, 4, 6, 10, 5

Arrange them in ascending order:

1, 3, 4, 5, 6, 10, 70, 95, 100

The range is (100 - 1) = 99

The mean is (1+3+4+6+5+10+70+95+100)/9 =32.67

Data      deviation from mean    square  deviation

1                         31.67                         1002.99

3                         29.67                       880.31

4                         28.67                        821.97

5                        27.67                         756.63

6                         26.67                        711.29

10                         22.67                      513.93

70                        -37.33                       1393.52

95                        -62.33                      3885.03

100                         -3.33                        4533.33

Total                                                     14508.0001

The standard deviation is s = √[(x-μ)²/N] = 40.14

The variance is s² = 1612

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Answer:

Step-by-step explanation:

1. To find the slope between the two points (3,4) and (-1,2), we can use the slope-intercept form of a line, y = mx + b. The slope (m) is equal to the rise (change in y) over the run (change in x), or (y2-y1)/(x2-x1). In this case, the rise is (2-4) = -2 and the run is (-1-3) = -4, so the slope is (-2)/(-4) = 1/2.

2. To find the slope between the two points (-2,0) and (5,-3), we can use the same formula, (y2-y1)/(x2-x1). The rise is (-3-0) = -3 and the run is (5-(-2)) = 7, so the slope is (-3)/7 = -3/7

3. To find the slope between the two points (4,-5) and (4,2), we can use the same formula, (y2-y1)/(x2-x1). The rise is (2- (-5)) = 7 and the run is (4-4) = 0, so the slope is 7/0 which is undefined.

4. To find the slope between the two points (-1,3) and (5,3), we can use the same formula, (y2-y1)/(x2-x1). The rise is (3-3) = 0 and the run is (5-(-1)) = 6, so the slope is 0/6 = 0.

Her entire monthly phone bill is $153.37, which includes long distance calls of $119.68, $84.36, and $68.49, as well as local calls of $21.00.

To figure out the student's total average monthly phone expense, combine her long distance phone bills ($119.68 + $84.36 + $68.49) and her local phone bill ($21.00), then divide the total by three (the number of months). The sum of the three long distance phone bills is $272.53, which is added to the $21.00 local phone charge for a total of $293.53. By dividing this sum by three, we get a monthly phone charge of $153.37. In summary, the student's total average monthly phone bill is $153.37, which includes long distance calls of $119.68, $84.36, and $68.49, as well as local calls of $21.00.

Here,

Long distance phone bills total:

$119.68 + $84.36 + $68.49

= $272.53

Local phone bill: $21.00

Total: $272.53 + $21.00

= $293.53

Average monthly phone bill:

$293.53 / 3

= $153.37

Her entire monthly phone cost is $153.37, which includes $119.68, $84.36, and $68.49 for long distance calls and $21.00 for local calls.

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ratio between side length AB and side length DE = 1

In a coordinate plane location of a particular point is represented by the

pair of two numerical terms that is bounded by a parenthesis. That is called coordinate pair.

From the triangle ABC and triangle DEF that plotted in the XY coordinate plane, we measured from the point coordinate that side length AB = side length DE

side length DF = side length BC

side length EF = side length AC

we also observed that the three corresponding angles of ABC is equal to the corresponding angles of DEF.

The above statement is true for congruence theorem.

hence the above two triangles are congruent.

from the graph, we find point coordinate A (1,1), B(4, 1), D (-1, 1) and E (-4, 1)

length formula = √(x₂ - x₁) ² + (y₂- y₁) ²

length of AB = √(4-1) ²+ (1-1)² = 3

length of DE = √( -4+1) ²+ (1-1) ² = 3

ratio, n = length AB/ length DE = 3/3 =1

n= 1

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The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.

Everyday logic and mathematical logic are similar in that they both involve reasoning and drawing conclusions based on evidence or information. However, mathematical logic is a more formal and precise system of reasoning that is used in mathematics, computer science, and other fields. It involves using symbols and formal languages to represent statements and arguments, and it often involves the use of mathematical proofs to demonstrate the validity of a conclusion.

The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically. It can also help you understand the foundations of computer science and the way that computers process information. Additionally, it can help you become more comfortable with using formal language and reasoning, which can be useful in fields such as law, philosophy, and science.

Thus, the study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.

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The solution of the given quadratic equation are,

[tex]y = \frac{-11+\sqrt{41} }{4}, y = \frac{-11-\sqrt{41} }{4}[/tex].

What is quadratic equation?

Any equation in algebra that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known numbers, and where a ≠ 0 is true is known as a quadratic equation.

Consider, the given equation:

2y^2 + 11y + 10 = 0

Compare this equation with [tex]ay^2 + by + c = 0[/tex]

⇒  a = 2,  b = 11, c = 10

Consider, the quadratic formula

[tex]y = \frac{-b+-\sqrt{xb^2-4ac} }{2a}[/tex]

Plug the values of a, b, c in the quadratic formula.

⇒

[tex]y = \frac{-11+-\sqrt{11^2-4(2)(10)} }{2(2)} \\y = \frac{-11+-\sqrt{121-80} }{4}\\ y = \frac{-11+-\sqrt{41} }{4} \\y = \frac{-11+\sqrt{41} }{4}, y = \frac{-11-\sqrt{41} }{4}[/tex]

Hence, the solution of the given quadratic equation are,

[tex]y = \frac{-11+\sqrt{41} }{4}, y = \frac{-11-\sqrt{41} }{4}[/tex].

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The expected number of radiation induced cancers according to the linear no threshold model of cancer induction is 500

Radiation is defined as the energy that comes from a source and travels through space at the speed of light.

Here we have given that 1,000,000 people are exposed to 10 msv and here we need to find the  the expected number of radiation induced cancers according to the linear no threshold model of cancer induction.

As we all know that the amount of dose depends on the type of x-ray examination. A CT examination with an effective dose of 10 milli Sieverts

And it may be associated with an increase in the possibility of fatal cancer of approximately 1 chance in 2000.

therefore, here we have the total number as 1,000,000

Then the expected number if calculated as,

=> 1,000,000/2000

=> 500

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the probability of "heads" on the first flip of this coin will be 1/2.

What is probability and example?

Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

"Heads" is the result of the latest flip and the preceding four flips. The total sample space for the heads.

P(A^B)=(1/2)^5

The preceding four flips in a row all resulted in "heads."

P(B)=(1/2)^4

The probability that the 5th flip lands head is;

⇒P(A^B)/p(B)= (1/2)⁵/(1/2)⁴

⇒P(A^B)/p(B)= 1/2

Hence, the probability of "heads" on the next (5th) flip of this coin will be 1/2.

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Therefore, the congruence theorem that may be employed to demonstrate that △WXZ and △YZX are equivalent is: AAS

Angles are considered congruent if the ratios of two shapes are equal. Similar to this, if the sides with one form are the same length and match the sides of yet another figure, the sides are congruent.

Here,

We are informed that ΔWXZ and ΔYZX share the same side.

The right angles ∠WXZ and ∠XZY are.

It is consistent for ∠XWZ and ∠XYZ.

Now that the parameters have been provided, we may infer that XZ is equal to itself according to the reflexive property for congruence, and as a result, we have a congruent side in each triangle.

Second, because ∠WXZ and ∠XZY were right angles, they are comparable and hence congruent to one another.

Finally, it is stated that ∠XWZ and ∠XYZ are congruent.

In conclusion, the triangles are identical according to the AAS Congruency since there are two corresponding angles one and corresponding sides that are both equal, but the comparable side wasn't with the included angles.

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The value of a=17 cm and b=6 cm as FGHJ is a kite.

Kite has property their adjacent sides are equal. The top two sides of the kite are equal and the bottom two sides of the kite are equal.

Any quadrilateral with two sets of congruent successive sides is referred to as a kite (in contrast to a parallelogram where the opposite sides are congruent). Connecting points G and J, draw a section. Triangle GHJ and triangle GFJ are congruent. The information that GH = GF and FJ = HJ will be used.

FG=GH because of ∠F=∠H.

30=2a-4

2a=34

a=17 cm      

Similarly, ∠F=∠H

FJ=HJ

3b+6=24

3b=18

b=6 cm

Hence, The value of a=17 cm and b=6 cm

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Answer:

a=17 and b=6

Step-by-step explanation:

took the test

Answer:

c = 2s + 3

Step-by-step explanation:

Let c be Carly's age.

Carly is 3 more . . . than twice her sister's age.

We can translate "twice her sister's age" into 2s.

Carly is 3 more than 2s.

We can translate this into:

Carly is 3 + 2s.

c = 2s + 3

Answer:Answer: B,E or 2nd answer and last

Step-by-step explanation: i did this test two week ago and made 100 own it good look to you

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

its B and E on edge

or

StartFraction 13 over 2 EndFraction divided by three-fourths

StartFraction 13 over 2 EndFraction (four-thirds)

On solving the provided question, we can say that this is from integral type of quadric surface [tex]SA = (\pi / 6) * 26 = > SA = (13 * \pi) / 3[/tex]

In mathematics, integrals translate integers into functions that express concepts like displacement, area, and volume that result from the combination of little facts. Integral discovery is a process that is referred to as integration.

We concentrate on the x distance from the y-axis since the rotation is about the y-axis.

function for x, which is

x = + or - sqrt(y)

x = sqrt(y)

This is function is g(y) = sqrt(y)

g(y) about the y-axis on the closed interval [c, d], that is, y is an element of [c, d] is

Surface Area(SA) = 2 * pi * integral from c to d of ( g(y) * sqrt(1 +(g’(y))^2 ) *dy

The given interval is x=0 to x=sqrt(2), using the given function y = x^2 we obtain y = 0 to y = 2

g(y) = sqrt(y) and g’(y) = 1/(2 * sqrt(y))

SA = 2 * pi * integral from 0 to 2 of sqrt(y) * sqrt(1 +(1/(2*sqrt(y)))^2) * dy

SA = 2 * pi * integral from 0 to 2 of sqrt(y *(1 +(1/(4*y)) * dy

SA = 2 * pi * integral from 0 to 2 of sqrt(y +(1/4) * dy

Apply u substitution, let u = y +(1/4), then take derivative of u which gives us du = dy. As part of the substitution, we need to change the bounds to 1/4 and 9/4

SA  2 * pi * integral from 1/4 to 9/4 of u^(1/2) du

[tex]f u^(1/2) is 2u^(3/2) / 3[/tex]

[tex]SA = evaluate 2 * \pi * ( 2u^(3/2) / 3 ) from 9/4 to 1/4\\SA = [ 2 * \pi * ( 2 * (9/4)^(3/2) / 3) ] - [ 2 * \pi * ( 2 * (1/4)^(3/2) / 3) ]\\2 * \pi * 2 * (1/3)\\SA =((4 * \pi) / 3) * { [ (9/4)^(3/2) / 3) ] - [ (1/4)^(3/2) / 3) ] }\\ 4^(3/2) = sqrt(64) = 8\\SA = ((4 * \pi) / 3) * [ ( 9^(3/2) -1) / 8 ]\\SA = (\pi / 6) * ( 27 -1)\\SA = (\pi / 6) * 26\\SA = (13 * \pi) / 3\\[/tex]

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Answer:

21245 rounded to the nearest thousand is 21000.

Rounding to the nearest thousand means finding the number that is closest to the original number, but ends in three zeroes. In this case 21000 is the nearest number ending in three zeroes to 21245.

Answer:

21000

Step-by-step explanation:

If the hundreds place is 500 or bigger, round to 22000, if the number is 499 or under it will be 21000.

The value of x given the equation 2x - 5y = p is x = (p + 5y) / 2.

Making x the subject of an equation or formula entails rearranging the equation or formula so that the x variable is equal to the other variables.

The necessary steps include:

2x - 5y = p

2x = p + 5y

Divide through by 2

x = (p + 5y) / 2

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Complete question

rearrange to make x the subject in 2x - 5y = p

The least count of Vernier calipers is 0.01cm and The length of the line is 10.23cm

Mean scale division:

The main scale is graduated with one division value equal to 1 mm. The length of the Vernier scale is the same as the n- scale of the Vernier scale and the (n-1) scale of the main scale.

Vernier Scale Division:

The minimum Vernier caliper number is also called the Vernier constant. Defined as the difference between the major and Vernier scales is represented mathematically as:

          VC = 1 MSD – 1 VSD

If the Vernier scale has n divisions, it matches the (n-1) divisions of the main scale. Vernier Caliper :

LC = ( 1 - [tex]\frac{n-1}{n}[/tex])  MSD

According to the problem

1MSD= 1mm

MSR = 10.2cm

Here, 10VSD  = 9MSD

          1VSD   = (9/10)MSD

                      =(9/10)×1mm

                      = (9/10)mm

Least count of Vernier calipers L.C = 1MSD - 1VSD

                                                           =1mm - (9/10)mm

                                                           =0.01mm

Therefore, Least Count (LC) = 0.01cm

Therefore,

Length of the line = MSR + (VSD × L.C)

                             = 10.2 + (3 × 0.01)

                             = 10.2+(0.03)p

                             = 10.23 cm

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She  should plant 118 trees per acre to maximize her harvest area. This will yield 96 bushels per tree.

95 trees per acre x 80 bushels per tree = 7600 bushels

96 trees per acre x 77 bushels per tree = 7392 bushels

97 trees per acre x 74 bushels per tree = 7158 bushels

98 trees per acre x 71 bushels per tree = 6938 bushels

99 trees per acre x 68 bushels per tree = 6732 bushels

100 trees per acre x 65 bushels per tree = 6500 bushels

101 trees per acre x 62 bushels per tree = 6262 bushels

102 trees per acre x 59 bushels per tree = 6038 bushels

103 trees per acre x 56 bushels per tree = 5828 bushels

104 trees per acre x 53 bushels per tree = 5532 bushels

105 trees per acre x 50 bushels per tree = 5250 bushels

106 trees per acre x 47 bushels per tree = 4978 bushels

107 trees per acre x 44 bushels per tree = 4716 bushels

108 trees per acre x 41 bushels per tree = 4452 bushels

109 trees per acre x 38 bushels per tree = 4188 bushels

110 trees per acre x 35 bushels per tree = 3925 bushels

111 trees per acre x 32 bushels per tree = 3663 bushels

112 trees per acre x 29 bushels per tree = 3407 bushels

113 trees per acre x 26 bushels per tree = 3151 bushels

114 trees per acre x 23 bushels per tree = 2895 bushels

115 trees per acre x 20 bushels per tree = 2300 bushels

116 trees per acre x 17 bushels per tree = 1972 bushels

117 trees per acre x 14 bushels per tree = 1638 bushels

118 trees per acre x 11 bushels per tree = 1306 bushels

Therefore, 118 trees per acre will yield the highest harvest of 1306 bushels.

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Answer: (2x-2y-1)(x-y)

Step-by-step explanation:

To factor 2(x-y)² - x+y, we first recognize that the expression is a difference of squares, which means it can be factored into the form (a-b)(a+b). To identify the values of a and b, we can look for common factors between the two terms, which are 2(x-y)² and -x+y.

The common factor between 2(x-y)² and -x+y is x-y. We can factor it out by dividing both terms by x-y:

2(x-y)² - x+y = (x-y) * (2(x-y) - 1)

Now we can write the expression as (x-y)(2x-2y-1) .

As you can see (x-y) is common in both the term, so we can factor it out, and we are left with (2x-2y-1)(x-y)

Answer:

This leads to C:  x + y > 2 and 2x - y > 1

Step-by-step explanation:

All of the answer options have the same structure, with the exception of the < and > signs.  We can assume the the two lines on the graph conform to the line defined by:

x + y =2, and

2x - y = 1

See the attached graph.  The lines y = -x+2 and y = 2x-1 match the provided graph.

But the equations are all inequalities.  So the darker areas represent the possibilities of values for x and y.  The darkeest area is where the solutions for both equations overlap, so look for equations that would satisfy that situation.  As shown, the equations are:

     y<2x-1, and

     y>-x+2

Rearrange these to match the options:

y-2x < -1, and

y + x > 2

---

Note that y-2x < -1 is the same as 2x-y > 1

This leads to C:  x + y > 2 and 2x - y > 1

On solving the provided question, we can say that standard deviation 15.4 is the mean of the sample means' sampling distribution.

Standard deviation is a statistic that expresses the variability or variance of a group of numbers. While a high standard deviation suggests that the values are more dispersed, a low standard deviation suggests that the values tend to be closer to the established mean. A measure of how dispersed the data are from the mean is the standard deviation (or ). When the standard deviation is low, the data tend to be grouped around the mean, and when it is large, the data are more dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each score from the mean.

If the population is normal to begin with then the sample mean also has a normal distribution, regardless of the sample size:

u = 15.4;

⊕ = 5.6

now

μ = 5.6[tex]\sqrt{5}[/tex] =

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