Consider the following data for a dependent variable y and two independent variables, 1 and 22. 21 I2 Y 30 13 95 47 11 108 24 18 112 51 16 178 40 6 94 51 20 175 74 8 170 36 13 118 59 14 142 76 16 211 The estimated regression equation for these data is ŷ-24.09 +2.03z1+ 4.822 Here SST = 15,046.1, SSR= 13,705.7, 8b = 0.2677, and 8b₂ = 1.0720. a. Test for a significant relationship among 1, 2, and y. Use a = 0.05. The estimated regression equation for these data is ŷ-24.09+2.03x1 + 4.82x2 - Here SST 15,046.1, SSR = 13,705.7, st = 0.2677, and Sb₂ = 1.0720. = a. Test for a significant relationship among 1, 2, and y. Use a = 0.05. F = (to 2 decimals) The p-value is less than 0.01 At a = 0.05, the overall model is significant b. Is B₁ significant? Use a = 0.05 (to 2 decimals). Use t table. * tB₁ The p-value is less than 0.01 At a = 0.05, B₁ is significant. c. Is ₂2 significant? Use a = 0.05 (to 2 decimals). Use t table. t₂ * = The p-value is less than 0.01 At a = 0.05, B₂ is significant.

The probability of four unrelated cases of smallpox being reported in Metro City in any given week, assuming a probability of 0.0034 for a single case, can be calculated using the binomial distribution formula. The probability of getting exactly 4 cases in a week is:

P(X=4) = (4 choose 4) * (0.0034)^4 * (1-0.0034)^(4-4) = 1 * 0.000000061 * 1 = 0.0000061

This means that the probability of four unrelated cases of smallpox being reported in Metro City in any given week is very low, about 0.0006%. However, it's important to note that these events are not necessarily independent. If the four cases are related in some way, such as being part of an outbreak or cluster, then the probability of all four occurring in the same week would be much higher. Therefore, further investigation would be needed to determine the independence of these events.

The probability of four unrelated cases of smallpox occurring in Metro City in the week of July 17, given that the probability of a single case in any given week is 0.0034, can be calculated using the binomial probability formula, since these are independent events.

The formula is: P(X=k) = C(n,k) * p^k * (1-p)^(n-k)

In this case, n = 4 (number of cases), k = 4 (number of successes), and p = 0.0034 (probability of a single case).

Using the formula, we have:
P(X=4) = C(4,4) * (0.0034)^4 * (1-0.0034)^(4-4)
P(X=4) = 1 * (0.0000001331) * 1
P(X=4) = 0.0000001331

The probability of this occurring is approximately 0.0000001331, which is extremely low. Given this low probability, it is unlikely that these cases are independent events, and further investigation might be warranted to determine if there is a common source or reason for the cases to occur simultaneously.

Learn more about probability here: brainly.com/question/30034780

#SPJ11

A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

B.  The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

a. Static Storage Policy:

To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.

Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:

SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).

SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).

By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.

The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:

SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.

SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.

Adding up the average daily movement times for SKU x and SKU y, we get:

Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.

Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

b. Heap Policy:

The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.

To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.

Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y

SKU x: Travel time from storage to the receiving area = 1 minute

SKU y: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU x: (1/3) minutes per day

SKU y: (2/2) minutes per day

Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day

Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x

SKU y: Travel time from storage to the receiving area = 1 minute

SKU x: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU y: (1/2) minutes per day

SKU x: (2/3) minutes per day

Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day

Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

Learn more about   lowest value from

https://brainly.com/question/30236354

#SPJ11

The length of ribbon that remained is 3m and 90 cm which is calculated by subtracting the cut length from the total length of the ribbon.

An arithmetic operation called subtraction simulates the process of removing items from a collection.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as negative integers, fractions, irrational numbers, vectors, decimals, functions, and matrices, however it is typically linked with natural numbers in mathematics.

The total length of the ribbon is is 5 meters or 500 centimeters. The length of the piece of ribbon that was cut is 1 m 10 cm=110 cm.

Length of the ribbon that remained is calculated by subtracting the total length form the cut off length 500-110 = 390 centimeters.

390 centimeters= 3 meters and 90 centimeters.

So the length that remained is 3 meters and 90 centimeters.

To learn more about subtraction visit:

https://brainly.com/question/2346316

#SPJ9

Answer:

20 weeks

Step-by-step explanation:

Im great in math!!

Answer:

C

Step-by-step explanation:

Answer:

The answer is C on edge

Step-by-step explanation:

Answer:

24 i can be rong

Step-by-step explanation:

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

Learn more about Statistics here:

brainly.com/question/15980493

#SPJ4

Answer:

  (c)  III

Step-by-step explanation:

If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.

Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.

__

  2x -6 -6x = 2 -4x . . . . eliminate parentheses

  -4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)

__

  x +2 = 15x +10 +2x . . . . eliminate parentheses

  x +2 = 17x +10 . . . . one solution (x=-1/2)

__

  4 +6x = 6x +4 . . . . eliminate parentheses

  6x +4 = 6x +4 . . . . infinite solutions

__

  6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)

Answer:

904.32 cubic ft

Step-by-step explanation:

To find the volume of a sphere, the formula is \(4\pi\frac{r^3}{3}\)

First, 3.14 * 4 for 12.56.

The radius is 6, and that cubed is 216.

After that, divide 216 by 3 for 72

Then, 12.56 times 72, which gets you the final answer of  904.32 cubic ft.

(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)

720 + 144 = 864

864 + 36 = 900

900 + 4.32 = 904.32

Your answer is D, I took the test.

The expected number of left handed students is given as follows:

52 students.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

Out of 45 students, 5 are left-handed, hence the probability is given as follows:

5/45 = 1/9.

Hence the expected number of left-handed students is given as follows:

E(X) = 1/9 x 468

E(X) = 52 students.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Statement regarding given situation i.e. Fred bought 6 liters of liquid laundry detergent 3,250 milliliters of fabric softener and 2.7 liters of bleach  are a) False b) True c) False d) False e) False.

a) False

To compare the amount of fabric softener and bleach, we need to convert both into the same unit.

3,250 milliliters of fabric softener = 3.25 liters

3.25 liters of fabric softener < 2.7 liters of bleach

b) True

6 liters of laundry detergent = 6,000 milliliters

6,000 milliliters of laundry detergent - 2.7 liters of bleach = 3.3 liters of laundry detergent

3.3 liters of laundry detergent is 3.55 liters more than 2.7 liters of bleach.

c) False

Again, we need to convert both into the same unit.

3,250 milliliters of fabric softener = 3.25 liters

3.25 liters of fabric softener - 2.7 liters of bleach = 0.55 liters

Fred bought 0.55 liters more fabric softener than bleach.

d) False

6 liters of laundry detergent = 6,000 milliliters

6,000 milliliters of laundry detergent - 2.7 liters of bleach = 3,300 milliliters of laundry detergent

3,300 milliliters of laundry detergent is 3.3 liters and 300 milliliters.

Fred bought 3.3 liters of laundry detergent, which is 0.6 liters more than 2.7 liters of bleach, not 330 milliliters.

e) False

3,250 milliliters of fabric softener = 3.25 liters

2.7 liters of bleach = 2,700 milliliters

3.25 liters of fabric softener - 2.7 liters of bleach = 0.55 liters

Fred bought 0.55 liters more fabric softener than bleach, not 0.55 liters more than 2.7 liters of bleach.

Correct Question :

Fred bought 6 liters of liquid laundry detergent 3,250 milliliters of fabric softener and 2.7 liters of bleach. Select true or false for each statement :

a) Fred bought 55 milliliters more fabric softener then bleach

b) Fred bought 3.55 liters more laundry detergent then bleach

c) Fred bought 550 milliliters more fabric softener then bleach.

d) Fred bought 330 milliliters more laundry detergent then bleach.

e) Fred bought 0.55 liters more fabric softener then bleach.

To learn more about milliliters here:

https://brainly.com/question/20320379

#SPJ4

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

Answer:

y=18

Step-by-step explanation:

168/28=6

108/6=18

y=18

The equation that can be used to calculate how many minutes after 4:00 p.m. she will arrive at her location is y = 4x - 16.

The correct equation is:

y = 4x - 16

This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "4x" represents the time the pilot will arrive at her destination if she had traveled at her original speed, and the "-16" represents the delay caused by air traffic.

To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:

y = 4(60) - 16

= 240 - 16

= 224

This means that the pilot will arrive 224 minutes after 4:00 p.m., or at 6:24 p.m.

To learn more about speed, refer:-

https://brainly.com/question/312131

#SPJ4

Answer:

Step-by-step explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

\(y=a(x-h)^2+k\) and this will allow us to solve for the value of a:

\(6=a(6-4)^2+5\) and

\(6=a(2)^2+5\) and

6 = 4a + 5 and

1 = 4a so

\(a=\frac{1}{4}\) and the equation is

\(y=\frac{1}{4}(x-4)^2+5\)

The best way to approach a question of this nature is by applying the rule of BODMAS. Just a quick reminder, that means Bracket of Division, Multiplication, Addition and Subtraction.

Observe that the numbers in the parenthesis have a minus and a plus sign, and the question of which to take before the other now arises. So we'll take the addition first before the subtraction.

Start with the smaller parenthesis inside the larger parenthesis. The solution to that is (5-4)^9 which is 1^9. One raised to the power of nine is one, that is;

1^9 = 1

So what you have in effect is;

18/ [8 - 6 + 1]

That effectively becomes

18/ [8 - 7]

18/1

That equals 18.

**Note that the values 8 - 6 were not put in parenthesis, and hence we had to apply the rule of BODMAS. If they had been separated by another smaller parenthesis, then the result would have been [8 - 6] + 1^9 which would be 2 + 1.**

A binary tree is a structure in which each node is capable of having two successor nodes, called left and right child nodes. The unique starting node is called the root.

In a binary tree, each node can have at most two successor nodes, namely the left child and the right child. These successor nodes are positioned below the parent node. The binary tree structure allows for branching and hierarchical organization of the nodes. The root node is the topmost node in the tree and serves as the starting point from which the tree branches out. Each node can have a left child, a right child, both, or none, depending on the specific configuration of the tree. This hierarchical arrangement of nodes and their successors allows for efficient data storage and retrieval in various algorithms and data structures.

To know more about binary tree,

https://brainly.com/question/29807531

#SPJ11

Production: 168,500 units.

Direct materials: 337,000 pounds.

Direct labor: Calculated based on units produced.

Factory overhead: Calculated based on direct labor hours.

1. Production Budget for the Third Quarter:

BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter

Budgeted sales units: 170,000

Add: Desired ending inventory units: 5,500

Total required units: 175,500

Less: Beginning inventory units: 7,000

Units to produce: 168,500

2. Direct Materials Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter

Units to produce: 168,500

Materials needed for production (pounds): 2 pounds per snowboard

Total materials required (pounds): 337,000 pounds

Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds

3. Direct Labor Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter

Units to produce: 168,500

Direct labor hours needed: 0.5 hour per snowboard

Cost of direct labor: Direct labor hours needed * Direct labor rate

4. Factory Overhead Budget for the Third Quarter:

BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter

Direct labor hours needed: Calculated from the direct labor budget

Budgeted variable overhead: Direct labor hours needed * Variable overhead rate

Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead

Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.

Learn more about Production here:-

https://brainly.com/question/30284183

#SPJ11

The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

Know more about the dilation

https://brainly.com/question/3457976

#SPJ1

the base is 20 ft so the triangular base is 69 feet.

Answer:

On the first one, they took half of the original number then added it to the original to get the sides of the bigger shape.

Step-by-step explanation:

Answer: I just did this in my math class, so I'll try to help you the best I can.  I uploaded the pdf below with step by step solutions to each problem. I also wrote some background information you need to know in order to solve the problems.

Step-by-step explanation:

Hope This Helps!

To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

Learn more about  data from

https://brainly.com/question/30459199

#SPJ11

The percent error of the measurement, to the nearest tenth of a percent is: 1.4%.

Percent error can be described as the disparity between the value of what was estimated and the actual value, which is compared to the actual value as expressed in percentage.

The formula for calculating the percent error is:

Percent error = |measured value - actual value| / actual value × 100%.

We have the following given:

Actual length = 7.4 inches

Measured length = 7.3 inches

Therefore:

Percent error = |7.3 - 7.4| / 7.4 × 100%.

= 0.1/7.4 × 100

= 1.4%

Learn more about percent error on:

https://brainly.com/question/5493941

#SPJ1

The value of the expression (1/3)x + 5x, at x = - 6 is - 32.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.

Given, An expression (1/3)x + 5x, when x = - 6.

Replacing - 6 with x we have,

(1/3)(-6) + 5(-6).

= - 2 - 30.

= - 32.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Something complicated I’m sure

The correct option is B) FDE and GDH, as their corresponding angles have the same intercepted arc and, therefore, are congruent.

To determine which angles are congruent in circle D, we need to analyze the given information about the measures of minor arcs. Since minor arcs are measured in degrees, we can use the following properties:

1. When two arcs are congruent, their corresponding central angles are also congruent.

2. The measure of a central angle is equal to the measure of its intercepted arc.

Given these properties, let's examine the answer choices:

A) EDH and FDG: We cannot determine their congruency based solely on the measures of the minor arcs.

B) FDE and GDH: These angles have the same intercepted arc, so they are congruent.

C) GDH and EDH: The intercepted arcs for these angles are different, so they are not congruent.

D) GDF and HDG: These angles have the same intercepted arc, so they are congruent.

Therefore, the correct option is B) FDE and GDH, as their corresponding angles have the same intercepted arc and, therefore, are congruent.

Learn more about congruent

https://brainly.com/question/2938476

#SPJ11

Answer:

15.71m

Step-by-step explanation:

One revolution is equal to the circumference of the wheel

Circumference = πD

22/7 X 5 = 15.71m

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

To know more about length,

https://brainly.com/question/32191269

#SPJ11