Estimate the mean and standard deviation of the underlying normal distribution from which the following data has been generated, using the probability plot method. -1.83 4.99 2.49 4.33 5.40 4.38 3.73 4.72 3.67 1.25 3.04 1.23 3.19 2.33 1.36 2.88 5.52 0.27 -3.58 7.42

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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Answer:

Area of the rectangle = 95 cm²

Step-by-step explanation:

Perimeter of the rectangle = Sum of the measures of the sides of the rectangle

From the figure attached,

Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]

                                       39 = 2(5x + 2)

                                       39 = 10x + 4

                                      10x = 39 - 4

                                      10x = 35

                                          x = 3.5

Therefore, measure of the given sides will be,

Length = (3x - 1) cm

3x - 1 = (3×3.5) - 1

        = 10.5 - 1

        = 9.5 cm

Width = (2x + 3) cm

2x + 3 = (2×3.5) + 3

          = 7 + 3

          = 10 cm

Area of the rectangle = Length × width

                                   = 9.5 × 10

                                   = 95 cm²

Therefore, area of the rectangle is 95 cm².

Step-by-step explanation:

what i want to help you

there no question to give answer

Answer:

hii I am here to help you

what kind of help do you need

can you ask your question

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

The solution of the inequality  3-x/2≥12 is x≤-18

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 3-x/2≥12

Three minus x by two greater than or equal to twelve

Subtract 3 from both sides

-x/2≥9

-x≥18

x≤-18

Hence, the solution of the inequality  3-x/2≥12 is x≤-18

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The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer: The gcf is 10

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

  10.8 feet

Step-by-step explanation:

You want the length of the shadow of a 27 ft tree if a 5 ft post casts a 2 ft shadow.

The shadow length is proportional to the object height, so you have ...

  (tree shadow)/(tree height) = (post shadow)/(post height)

  x/(27 ft) = (2 ft)/(5 ft)

  x = (27 ft)(2/5) = 10.8 ft

The length of the tree's shadow is 10.8 feet.

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To decide the length of the tree's shadow, we can utilize the idea of comparable triangles. Length of the Tree = 10.8 feet..

Since the wall post and the tree are both creating shaded areas simultaneously, we can set up an proportion between their heights and the lengths of their shadows.

We should indicate the length of the tree's shadow as x. We have the following proportion: (height of tree)/(length of tree's shadow) = (height of wall post)/(length of wall post's shadow).

Substituting the given qualities, we have: 27 ft/x = 5 ft/2 ft.

We can cross-multiply to solve for x: 27 ft * 2 ft = 5 ft * x.

Working on the equation gives us: 54 ft = 5 ft * x.

Simplifying the two sides by 5 ft provides us with the length of the tree's shadow: x = 54 ft/5 ft , x = 10.8 feet.

Calculating the expression offers us the last response, which is the length of the tree's shadow in feet.

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2 log4 (x)  is equivalent to log4 (x²) because it simplifies to 2 * log4 (x).

To find which expressions are equivalent to log4 (x²), we need to simplify the logarithmic expression.
Using the properties of logarithms, we know that logb (mn) = n * logb (m).
So, log4 (x²) can be simplified as 2 * log4 (x).
Now, let's check which expressions are equivalent:
1. 2 log4 (1) log4x²: This expression is not equivalent to log4 (x²) because it multiplies log4 (1) with log4x².
2. log4 (1) + log4x²: This expression is not equivalent to log4 (x²) because it adds log4 (1) to log4x².
3. -1 + 2 log4 x: This expression is not equivalent to log4 (x²) because it subtracts 1 from 2 log4 x.
4. -2 + 2 log4 x: This expression is not equivalent to log4 (x²) because it subtracts 2 from 2 log4 x.
5. 2 log4 (x): This expression is equivalent to log4 (x²) because it simplifies to 2 * log4 (x), which is equivalent.
Therefore, the correct answer is: 2 log4 (x).

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The answer is:

Nth term=200n-238

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

The three positive numbers whose sum is 21 and whose product is maximal are 7, 7, and 7. So, the answer is: 7, 7, 7.

To find three positive numbers whose sum is 21 and whose product is maximal, we have to use the concept of AM-GM inequality.

The AM-GM inequality states that for any set of positive real numbers, the arithmetic mean of these numbers is always greater than or equal to the geometric mean of these numbers. To maximize the product of the three positive numbers whose sum is 21, we let all three numbers be equal. Therefore:

Let the three numbers be a, b, and c.

So, a = b = c.

The sum of the three numbers is 21,

so: a + b + c = 21

We have a = b = c.

Then we substitute to obtain:

3a = 21

a = 7

Therefore, the three positive numbers whose sum is 21 and whose product is maximal are 7, 7, and 7. So, the answer is: 7, 7, 7.

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Answer:

13

Step-by-step explanation:

Answer:

13 different ways unless you put them in groups

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The sample standard deviation is (B) $3.16.

Therefore, the sample standard deviation is (B) $3.16.

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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

Answer:

B. LM

Step-by-step explanation:

It is the midsegment of ABC since it is the only answer that lies in the middle of the triangle.

Answer: LM

Step-by-step explanation:

Mid segment is a straight line joining the midpoints of two segments.A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.In the given triangle ABC ,L and M are midpoints of sides AB and CB.LM is the line joining the midpoints of sides AB and CB.LM is called the midsegment of triangle ABC.

Answer:

-3 i think

Step-by-step explanation:

Answer:

333

Step-by-step explanation:

1/3x5= 1.66

Answer:

333

Step-by-step explanation:

i need points lol

By applying the CI algorithm we can determine the machine cells (20%) as the machine M₁ is on 2nd , M₂ is on 5th, M₃ is on 3rd, M₄ is on 4th and M₅ is on 1st rank.  

First of all we have to assign the binary weight and to calculate decimal equivalent as follows:

Machines   1    2    3    4    5    6    7    8   Decimal Equivalent    Rank

                  2⁷  2⁶  2⁵  2⁴   2³   2²  2¹  2⁰

M₁               1    1           1     1                 1               217                        2    

M₂                    1     1     1            1                          116                        5  

M₃               1          1           1     1    1     1                175                       3    

M₄               1    1           1     1                 1                117                       4      

M₅               1    1     1           1    1     1     1               239                       1    

According to the rank wise we will rearrange the rows and we follow the same procedure as above for columns. In the above table we can observe that the rank is gets ordered. So that we can stopped the interaction.

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NOTE: The given question is incomplete on the portal. Here is the complete question.

QUESTION: The following matrix represents a manufacturing system with five machines and eight parts. Determine two machine cells with a suitable algorithm.

                                         Parts  

                       \(\begin{matrix} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \end{matrix} \\ \left[\begin{array}{ccccccccccc} 1 && & 1 & \,\,\,\, 1 \\ & 1 & & & & & 1\\ 1& & 1 && 1 \\ &1 && 1 & 1 & &1 \\ & & 1 & & &&1 \,\,\,\,\,\,\,\,\,\,\, \end{array}\right]\)

Apply the CI algorithm to determine the machine cells (20%).

Answer:

Step-by-step explanation:

if x = 6 and y = 4

then

20xy - 10x² = 20×(6)×(4)-10×(6^2) = 120

Therefore,

Mary has 120 sweets

……………………………………

if x = 6 and y = 4

then

5x = 5 × (6) = 30

…………………………

120 ÷ 30 = 4

Then 4 sweets per friend.

Answer: Area =  l × w

=  1 × 2.6

=  2.6 feet2

Step-by-step explanation:

If a light beam strikes the inside of a fiber optic cable, it bounces off at the same angle, The distance travel by the beam is 1300 micrometer.

Given:  If a light beam strikes the inside of a fiber optic cable, it bounces off at the same angle.

In a cable 1,200 micrometers long if the beam strikes the wall after 720 micrometer.

Since, The two right angles formed,

In the larger triangle, the value of x is found using the Pythagorean theorem, \(x^{2} = 300^{2} + 720^{2}\)

x = \(\sqrt{}\)608400

x = 780 micrometer

Now, let us find the value of y.

The two angles of the  smaller right angle triangle are congruent to the two angles of the lower right angle triangle.

Since, the angles on the right angle triangle are congruent then the triangles are similar.

y/x = 480/720

y = 520 micrometer

The distance travel by the beam is 780 + 520 = 1300 micrometer

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Answer:

in this form the first one next to the x is the slope and the added value is the y intercept

if something is parrell that means the same slop so

3/4

Hope This Helps!!!

Answer:

Stratified sampling

Step-by-step explanation:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Divided by groups(according to age)

A certain amount of each group is sampled.

Thus, stratified sampling is used.

Answer:

f= -15

Step-by-step explanation:

u just have to divide

-75/5= -15  so f equal -15

Answer:

F=-15

Step-by-step explanation:

You want to get f by it’s self so to do that you would have to divide. So you would divide 5 by -75 to get -15 ( it’s a negative because a negative number divided by a positive number is a negative number). To check your math you would take 5 and multiply by -15 and that equals -75 (a negative number times a positive number is a negative number)

The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").

To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.

First, let's set the two equations equal to each other:

3x² + (12/24)y² = 16 - x²

Next, we simplify the equation:

4x² + (12/24)y² = 16

Multiplying both sides by 24 to eliminate the fraction:

96x² + 12y² = 384

Dividing both sides by 12 to simplify further:

8x² + y² = 32

Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:

(x²/a²) + (y²/b²) = 1

Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.

So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.

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