For each of the following questions, explain whether a confidence interval for a mean response or a prediction interval for a new observation is appropriate. a. What will be the humidity level in this greenhouse tomorrow when we set the temperature level at 31°C? b. How much do families whose disposable income is $23,500 spend, on the average, for meals away from home? c. How many kilowatt-hours of electricity will be consumed next month by commercial and industrial users in the Twin Cities service area, given that the index of business activity for the area remains at its present level?

The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

We are given the vertices:

A(-4,4), B(2,-2), and C(-4,-2).

We need to find the perimeter of ABC.

AB = √ ( 2 + 4)² + (-2 - 4)²

AB = √ 6² + 6²

AB = √72

AB = 6 √2 units

BC = √ (-4 - 2)² + ( -2 + 2)²

BC = √ 6²

BC = 6 units

AC = √ ( -4 + 4)² + (-2 - 4)²

AC = √ 6²

AC = 6 units.

Perimeter = AB + BC + AC

Perimeter = 6 √2 + 6 + 6 units

Perimeter = 12 + 6 √2 units.

Perimeter = 12 + 6(1.414) units

Perimeter = 12 + 8.848 units

Perimeter = 20.848 units

Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

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Answer:

Six hundred fifty eight and one hundred twenty nine thousandths

The proportion of 10-year-old girls which are A. shorter than 48 inches (4 feet) is 0.0089, B. taller than 60 inches (5 feet) is 0.019, and C. between 50 and 55 inches is 0.466. D. The tallest 15% of 10-year-old girls are taller than 57.47 inches.

It is given that the heights of 10-year-old girls follow an approximately normal distribution with mean = 54.4 inches and standard deviation = 2.7 inches. In order to determine the proportion of girls with a height x, we must determine the z-score and use standard normal distribution table or calculator to determine the required proportion.

Z score = (x -µ)/σ where µ is the mean and σ is the standard deviation.

A. The proportion of 10-year-old girls shorter than 48 inches (4 feet) is determined as:

Z-score = (48 - 54.4) / 2.7 = -2.37

Using standard normal distribution table or calculator, the proportion of 10-year-old girls shorter than 48 inches is 0.0089 (rounded to four decimal places).

B. The proportion of 10-year-old girls taller than 60 inches (5 feet) is determined as:

Z-score = (60 - 54.4) / 2.7 = 2.07

Using standard normal distribution table or calculator, the proportion of 10-year-old girls taller than 60 inches is 0.019 (rounded to three decimal places).

C. The proportion of 10-year-old girls with heights between 50 and 55 inches is determined as:

Z-score for 50 inches = (50 - 54.4) / 2.7 = -1.63

Z-score for 55 inches = (55 - 54.4) / 2.7 = 0.22

Using standard normal distribution table or calculator, the proportion of 10-year-old girls with heights between 50 and 55 inches is 0.466 (rounded to three decimal places).

D. The tallest 15% of 10-year-old girls are taller than:

Z-score for the 85th percentile = 1.04 1.04 = (x - 54.4) / 2.7

x = 57.47 inches (rounded to one decimal place)

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Answer:

He will need a total of 168.8 total gallons of oil.

He will need 34.4 gallons of oil for machine A.

He will need 134.4 gallons of oil for machine B.

Please Vote Me Brainliest. Thank You.

Answer:

z = 103

x = 20

Step-by-step explanation:

See photo for steps. You got this… don’t give up. I believe you can do this. Comment if u need me to explain more :)

ANSWER

9.5

EXPLANATION

To find the distance between home and work, we have to use the formula:

We have that home is at point (3, -3) and work is at point (0, 6).

Therefore:

(x1, y1) = (3, -3)

(x2, y2) = (0, 6)

Therefore, we have that:

The answer is 9.5

Answer:

3rd one thank you let me know if u got it rigbt

Answer:

3:2

Step-by-step explanation:

the answer is 3:2 because if you divide them by 2 you get 3:2

We can use the substitution $u=x^2+9$ to find the indefinite integral of the given expression. We have:

\(∫�2�2+9��=\)\(12∫2��2+9���∫ x 2 +9​\)

\(x 2\)

​

\(dx= 21​ ∫ x 2 +9​ 2x​ xdx\)

Let $u=x^2+9$, then $\frac{du}{dx}=2x$ and $dx=\frac{du}{2x}$, so we have:

\(12∫2��2+9���=12∫1���21​ ∫ x 2 +9​ 2x​ xdx= 21​ ∫ u​ 1​ du\)

Integrating with respect to $u$, we get:

\(12∫1���=�+�=�2+9+�21​ ∫ u​ 1​ du= u​ +C= x 2 +9​ +C\)

where $C$ is a constant of integration. Therefore, the indefinite integral of $\frac{x^2}{\sqrt{x^2+9}}$ is $\sqrt{x^2+9} + C$, where $C$ is a constant.

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Two expression with equal sign in between is equation. If Mayumi rides her bike around a park . each lap around the park is two/ three . Mayumi rides of total of three. Then  4 1/2 laps around the park mayumi ride.

Two expression with equal sign in between is called as Equation.

Mayumi rides her bike around a park . each lap around the park is two/ three . mayumi rides of total of three.  The number of laps around the park mayumi ride be x.

We convert this given data as a expression as given

2x/3=3

Apply cross multiplication.

2x=9

x=9/2,

We need to write answer as a whole number of laps plus a fraction of a lap.

x=4 1/2

Therefore 4 1/2 laps around the park mayumi ride.

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Answer: Mayumi Rides 4 whole laps, plus 1/2 of a lap.

Step-by-step explanation:

Answer:

thirty two I think hope it's right

Answer:

57

Step-by-step explanation:

i hope its that

7x3+9x4

=57

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

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Answer:

2

Step-by-step explanation:

Slope is (y2-y1)/(x2-x1)

Answer:

2

Step-by-step explanation:

(y2)8- (y1)6= 2

(x2) 1- (x1) 0 = 1

2/1 =2

Final answer would be 222222

Using it's concept, it is found that the probability that everyone in a simple random sample of 100 young adults owns a landline is given by:

\(p = (0.25)^{100}\)

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 25% of the adults own a landline, and the probabilities for each adult are independent, hence the probability that everyone in a simple random sample of 100 young adults owns a landline is given by:

\(p = (0.25)^{100}\)

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Answer:

120

Step-by-step explanation:

480 total

1/2 = 240 are cows

1/8 = 60 are goats

remaining = 480-240-60 = 180 are chickens & ducks

33.3333% of 180 = chickens  =180/3 = 60 chickens

so ducks = 180-60 =120

Answer:

120

Step-by-step explanation:

given that out of 480 animals 0.5 of the animals are cows . So ,

no. of cows = 0.5*480 = 240

Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,

no. of goats = 1/8*480 = 60

Total no. of goats and cows ,

= 240 + 60 = 300

No. of remaining animals= 480 -300 = 180

Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.

Percentage of ducks = (100 - 33⅓ )% = 66.67%

So the number of ducks would be ,

180 * 66.67/100 = 120

And we are done!

Answer:

Google mid point formula and plug in your variables

Step-by-step explanation:

hope this helps :)

The weight of Dima in kilograms round to the nearest hundredth is: 58.51 kilograms.

A weight measuring unit: One pound equals 454 grams. One kilogram is roughly equivalent to 2.2 pounds.

One pound contains 16 ounces.

The word "poundus" means "weight" in Latin.

The £ symbol is derived from an ornate L in Libra.

We are given the weight of Dima as 129 pounds.

we know by conversion that:

1 pound= 0.453592 kilograms

Hence 129 pounds= 129×0.453592 kilograms

129 pounds=58.513368 kilograms.

Therefore, The weight of Dima in kilograms round to the nearest hundredth is: 58.51 kilograms.

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Answer:

50

Step-by-step explanation:

the missing number is 50

Answer:

50

Step-by-step explanation:

Every number is being multiplied by 10

Hope this helps you out! :)

a. R1: Reflexive, not antireflexive, not symmetric, antisymmetric, transitive.

b. R2: Reflexive, not antireflexive, symmetric, antisymmetric, transitive.

c. R3: Reflexive, not antireflexive, symmetric, antisymmetric, transitive.

d. R4: Reflexive, not antireflexive, not symmetric, not antisymmetric, not transitive.

a. List all the members of relation R1:

R1 = {(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 0), (4, 1), (4, 2), (4, 3), (5, 0), (5, 1), (5, 2), (6, 0), (6, 1), (7, 0), (8, 0), (9, 0)}

b. List all the members of relation R2:

R2 = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9)}

c. R3 = R1 ∩ R2 (intersection of R1 and R2):

R3 = {(0, 0)}

d. R4 = R1 ∪ R2 (union of R1 and R2):

R4 = {(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 0), (4, 1), (4, 2), (4, 3), (5, 0), (5, 1), (5, 2), (6, 0), (6, 1), (7, 0), (8, 0), (9, 0), (6, 6), (7, 7), (8, 8), (9, 9)}

a. R1:

- Reflexive: R1 is reflexive because every element (x, x) for x ∈ A is included in R1. For example, (0, 0) is in R1, (1, 1) is in R1, and so on.

- Antireflexive: R1 is not antireflexive because

it contains reflexive pairs.

- Symmetric: R1 is not symmetric because if (x, y) is in R1, it does not guarantee that (y, x) will also be in R1. For example, (0, 1) is in R1, but (1, 0) is not in R1.

- Antisymmetric: R1 is antisymmetric because if (x, y) and (y, x) are in R1, it implies that x = y. Since there are no such pairs in R1, the condition holds vacuously.

- Transitive: R1 is transitive because for any three elements (x, y), (y, z), (x, z) will also be in R1. This can be verified by checking all possible combinations of elements in R1.

b. R2:

- Reflexive: R2 is reflexive because every element (x, x) for x ∈ A is included in R2. For example, (0, 0) is in R2, (1, 1) is in R2, and so on.

- Antireflexive: R2 is not antireflexive because it contains reflexive pairs.

- Symmetric: R2 is symmetric because for any pair (x, y) in R2, (y, x) is also in R2. This can be verified by checking all pairs in R2.

- Antisymmetric: R2 is antisymmetric because if (x, y) and (y, x) are in R2, it implies that x = y. Since all pairs in R2 satisfy this condition, the relation is vacuously antisymmetric.

- Transitive: R2 is transitive because for any three elements (x, y), (y, z), (x, z) will also be in R2. This can be verified by checking all possible combinations of elements in R2.

c. R3 = R1 ∩ R2:

- Reflexive: R3 is reflexive because it contains the pair (0, 0) which is reflexive.

- Antireflexive: R3 is not antireflexive because it contains reflexive pairs.

- Symmetric: R3 is symmetric because it contains only one pair (0, 0), which is symmetric.

- Antisymmetric: R3 is antisymmetric because it contains no pairs that violate antisymmetry.

- Transitive: R3 is transitive because it contains only one pair (0, 0), and transitivity is vacuously satisfied.

d. R4 = R1 ∪ R2:

- Reflexive: R4 is reflexive because it contains all the reflexive pairs from R1 and R2.

- Antireflexive: R4 is not antireflexive because it contains reflexive pairs.

- Symmetric: R4 is not symmetric because it contains pairs from R1 that are not symmetric.

- Antisymmetric: R4 is not antisymmetric because it contains pairs from R1 that violate antisymmetry.

- Transitive: R4 is not transitive because it contains pairs from R1 and R2 that do not satisfy transitivity.

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Answer:

so the answer would points on al ine you got to make sure you look at the 5

1 gallon (gal) = 128 fluid ounce (fl oz)

1 hour (hr) = 60 minutes (min)

Convert 1 fl oz/min to gal/hr.

\(\dfrac{1\,\rm fl.oz}{1\,\rm min} \times \dfrac{1\,\rm gal}{128\,\rm fl.oz} \times \dfrac{60\,\rm min}{1\,\rm hr} = \dfrac{60}{128} \dfrac{\rm gal}{\rm hr} \approx \boxed{0.47 \dfrac{\rm gal}{\rm hr}}\)

The whole price of the bike is  determined as 114.7 .

The whole price of the bike is the initial price of the bike before the markup and it calculated as follows;

let the wholesale price = x

( 100% + 39 % ) of wholesale price = retail price

( 1.39 ) x = 159.39

divide both sides of the equation by 1.39

1.39 x / 1.39 = ( 159.39 / 1.39 )

x = 114.7

Thus, the wholesale price of the bike is a function of the markup price and retail price.

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The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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The possible outcomes of water pollution include ecosystem disruption, public health risks, economic losses, and damage to aquatic life. However, one outcome that is unlikely to result from water pollution is the improvement of water quality and ecological balance.

Water pollution can have severe consequences for ecosystems, human health, and the economy. One possible outcome is the disruption of the ecological balance within aquatic environments. Pollutants such as industrial waste, agricultural runoff, and chemical contaminants can harm aquatic organisms and disrupt their natural habitats. This disruption can lead to the decline or extinction of certain species, affecting the overall biodiversity of the ecosystem.

Water pollution can also pose significant risks to public health. Contaminated water sources can transmit harmful pathogens, leading to waterborne diseases such as cholera, typhoid, or hepatitis. Exposure to polluted water can also result in skin irritations, respiratory problems, and other health issues, especially in communities that rely on contaminated water sources for drinking, cooking, and sanitation.

Furthermore, water pollution can have economic consequences. Contaminated water sources may become unusable for various purposes, including agriculture, industrial processes, and recreational activities. This can result in economic losses for farmers, businesses, and communities that depend on clean water for their livelihoods. Additionally, the costs associated with water treatment and pollution cleanup can be substantial, further impacting the economy.

However, one outcome that is not likely to result from water pollution is the improvement of water quality and ecological balance. Water pollution is caused by the introduction of harmful substances into water bodies, and it requires proactive measures to mitigate and prevent further pollution. Without appropriate actions and interventions, water pollution is unlikely to lead to the improvement of water quality or the restoration of ecological balance. Therefore, this outcome is not typically associated with water pollution.

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Answer:

H 6

Step-by-step explanation:

Perimeter of square:

P = 4s

P = 4 × 2.5x

P = 10x

Perimeter of triangle:

P = s1 + s2 + s3

P = 2x + 4x - 2 + 2(x + 7)

P = 6x - 2 + 2x + 14

P = 8x + 12

The perimeters are equal.

10x = 8x + 12

2x = 12

x = 6

Answer: H 6

Given:

The average sale of a house decreased from $333,000 in February 2008 to $188,000 in February 2013.

Required:

To find the absolute change and the relative change.

Explanation:

The absolute change is

The relative change is

Final Answer:

Absolute change = -145,000

Relative change = -43.54%

The area of a carpet that is 26 feet wide and 39 feet long is 1014 ft².

Given that, a carpet is 26 feet wide and 39 feet long, we need to find its area,

Considering the carpet as a rectangle, so, the area of a rectangle =

= length x width

Therefore, the area of the carpet = 26 x 39 = 1014 ft²

Hence, the area of a carpet that is 26 feet wide and 39 feet long is 1014 ft².

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The function rule for the statement "The output is seven more than one-third of the input" can be written as: y = 1/3x + 7

The pattern represented in the input/output table must be represented by the function rule when it is written from the data in the table. Start by searching for a pattern between the input and output numbers. The output numbers' values are quite similar to the input number multiplied by three.

Let x be the input, and y be the output.

As we have the statement as:

The output is seven more than one-third of the input

So, we can write the function as:

y = 1/3x + 7

This represents the relationship between the input and the output,

where the output is seven more than one-third of the input.

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