A museum is using a coordinate grid to map the distances between historical sites. Each unit represents 1 mile. Which pair of points could be used to represent two sites that are 7 miles apart?
(A) (-3,2) and (4,2)
(B) (-3,-5) and (4,-5)
(C) (-9,-2) and (-2,-2)
(D) (-3,-8) and (4,-8)

Answers

Answer 1

All four pair of points could be used to represent two sites which are 7 miles apart.

Calculate the distance between each pair of points

The distance formula between two points (x1, y1) and (x2, y2) is given by:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's calculate the distances for each given pair of points:

(A)

(-3,2) and (4,2):

Distance = √((4 - (-3))² + (2 - 2)²)

Distance = √(7² + 0²)

Distance = √(49 + 0)

Distance = √49

Distance = 7 miles

(B)

(-3,-5) and (4,-5):

Distance = √((4 - (-3))² + (-5 - (-5))²)

Distance = √(7² + 0²)

Distance = √(49 + 0)

Distance = √49

Distance = 7 miles

(C)

(-9,-2) and (-2,-2):

Distance = √((-2 - (-9))² + (-2 - (-2))²)

Distance = √(7² + 0²)

Distance = √(49 + 0)

Distance = √49

Distance = 7 miles

(D)

(-3,-8) and (4,-8):

Distance = √((4 - (-3))² + (-8 - (-8))²)

Distance = √(7² + 0²)

Distance = √(49 + 0)

Distance = √49

Distance = 7 miles

Therefore, all four pairs of points represent two sites that are 7 miles apart.

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Related Questions

The least preferable and reliable method of selecting people to participate in a research study is:_____.

Answers

The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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Type the expressions as radicals.
q 3/2

Answers

√q³  your answer

pls mark me in branlist

What’s 50.272 to 1 decimal place

Answers

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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A company offers free shipping on orders that weigh less than 4,000 grams. How much is this in kilograms?

Answers

Answer:

4,000 grams = 4 kilograms

Step-by-step explanation:

You have to divide the mass value by 1000.

Hope it helps :D

What is the value of X when y=950

Answers

Answer:

Not enough detail

Step-by-step explanation:

It's missing a formula

4 monkeys is _______% of 20 monkeys.
1 point
5
4
20
50
_______% of 50 robots is 35 robots.
1 point
50%
35%
70%
10%

Answers

4 monkeys is 20% of 20 monkeys.

70% of 50 robots is 35 robots.

Answer:

hm

Step-by-step explanation:

how problem solving with algorithms and data structures using python?

Answers

The algorithms are a problem solving tool in Python because it  provides a wide range of built-in algorithms that can be used to solve many common problems.

The Algorithms are a fundamental problem solving tool in Python . An algorithm is a set of instructions that are executed in a specific order to solve a particular problem. In Python, algorithms can be implemented in the form of functions or methods.

So , In addition to the built in algorithms, Python also provides a rich collection of third party libraries that contain various algorithms that can be used to solve complex problems.

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The given question is incomplete , the complete question is

How are algorithms a problem solving tool in Python ?

I Need Help With This Question ​

I Need Help With This Question

Answers

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

What is the area of the square whose side is x-4 meters

Answers

Answer:

x^2-8x+16

Step-by-step explanation:

all sides are the same so it will be x-4Xx-4so expand brackets (x-4)(x-4)

Solve pls help 6x 3354 pls show u got it

Answers

Answer:

20124

Step-by-step explanation:

Just put 6x3354 in a calculator.

3354

  x6

------

6x4 = 24

50x6 = 300

300x6 = 1800

3000x6 = 18000

Add all those up and you get 20,124.

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer : 90

You plug in those two numbers and solve and you get 90.
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A node or event with duration of 0 days is a(n) ______________.
a. error
b. milestone
c. short term activity (less than 1 day)
d. zero sum game

Answers

A node or event with a duration of 0 days is a b. milestone

A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.

They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.

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Question 1
Which option below is an example of consecutive numbers?
OOOO
2,4,6,8...
1,4,9, 16...
1.1.1.3...
5, 6, 7, 8...
с
d
Review Answers

Answers

the answer for this would be d

The average median income for a dentist is $142,740. The average median income for a medical and health service manager is $86,400.

a. What is the average total income for a dentist over 30 years?

b. What is the average total income for a medical and health service manager over 30
years?

c. What is the difference between the earnings over 30 years?

Answers

A: For the Dentist, their average income in 30 years is $4,282,200

B: For the Manager, their average income in 30 years is $2,592,000

C: The difference in both their earnings is $1,690,200

Work: So, I just multiplied their average earnings by 30, and that's what their average income will be in 30 years. For the difference, I subtracted the higher earning by the lower earning, and that's the difference.

I hope this helps you. :)

Samantha threw an apple out of a window from the tenth floor of her apartment building. The equation y=-16t^2+120y = − 16 t 2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round our answer to the nearest hundredth.

Only type in the numerical answer.

Answers

Answer:

2.74 Seconds

Step-by-step explanation:

-16t²+120=0

-16t²=-120

t²=7.5

t=2.74

Dustin only has 11 Poké balls. To collect more, he went to a few Poké stops and now has 33 Poké balls.

Find the Percent of increase for the following problems:

Answers

Answer:

The percent increase is 200%.

Step-by-step explanation:

____________________________________________________

percent change = (new number - old number)/(old number) × 100%

A positive percent change is a percent increase. A negative percent change is a percent decrease.

____________________________________________________

new number = 33

old number = 11

percent change = (33 - 11)/(11) × 100%

percent change = 22/11 × 100%

percent change = 2 × 100%

percent change = 200%

Answer: The percent increase is 200%.

Use the equation below to find the axis of symmetry in the given problem

Use the equation below to find the axis of symmetry in the given problem

Answers

Based off of the formula you were given (-b/2a), ply the numbers into it

-(-20)/2(-2)

20/-4

Axis of Symmetry=5

which statement justifies step three? Which statement justifies step four?
Given: AB=AD;BC=DC
Prove:

which statement justifies step three? Which statement justifies step four?Given: AB=AD;BC=DCProve:

Answers

The two statements that justifies step three and four in the congruency proof are;

Reason 3: SSS Congruency Postulate

Reason 4: CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

How to Identify the Congruency Proof?

The two column proof is as follows;

Statement 1: AB ≅ AD, BC ≅ DC

Reason 1: Given

Statement 2: AC ≅ AC

Reason 2: Reflexive Property of Congruence

Statement 3: ΔABC ≅ ΔADC

Reason 3: SSS Congruency Postulate

Statement 4: ∠ABC ≅ ∠ADC

Reason 4: CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

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The Land of Nod lies in the monsoon zone, and has just two seasons, Wet and Dry. The Wet season lasts for 1/3 of the year, and the Dry season for 2/3 of the year. During the Wet season, the probability that it is raining is 3/4; during the Dry season, the probability that it is raining is 1/6. (a) I visit the capital city, Oneirabad, on a random day of the year. What is the probability that it is raining when I arrive? (b) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that my visit is during the Wet season? (c) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that it will be raining when I return to Oneirabad in a year's time? (You may assume that in a year's time the season will be the same as today but, given the season, whether or not it is raining is independent of today's weather.)

Answers

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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Working simultaneously, six fudge machines complete a big order in 36 hours. All the machines at the fudge factory work at the same pace. If only half of the machines are working, in how many hours will the order be complete? Plss help!

Answers

The answer is 72 hours

First found the machines
1/2 of the six machines = 3 machines
36x6=time x 3
216= time x 3
If you do the calculations
Time = 72 hours

So the order will be complete in 72 hours

A risk profile from PrecisionTree lists
a. all possible outcomes and tneir corresponding utility,
b. the full probability distribution,
c. the nodes and branches for each possibe outcome
d. all oprions and their possible outcomes

Answers

A risk profile from PrecisionTree lists: A. all possible outcomes and their corresponding utility.

What is a decision tree?

In Mathematics and Statistics, a decision tree is sometimes referred to as PrecisionTree and it can be defined as a tree-like model that is used by mathematicians, statisticians, and researchers as a decision support tool, in order to graphically display decisions with respect to their potential outcomes, consequences, utility, and resource costs.

This ultimately implies that, a decision tree is used for making decisions in business management by graphically displaying all the possible (expected) outcome of a decision in layers.

What is a risk profile?

A risk profile can be defined as a distribution that is associated with a specific action. This ultimately implies that, a risk profile lists all the possible economic outcomes (monetary values) and provides the corresponding probability or utility of each.

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Complete Question:

A risk profile from PrecisionTree lists"

a. all possible outcomes and their corresponding utility.

b. the full probability distribution,

c. the nodes and branches for each possible outcome

d. all options and their possible outcomes

Please helppp.there are 3 green, i purple,
and 2 orange markers in a bag
once a marker is selected, it
is not replaced. find the
probability of selecting two
orange markers

Answers

The probability of selecting two orange markers is 2/6 * 1/5 = 1/15.

What is non-replacement event?

Components that have not been altered typically have content that is present within the document, whereas elements that have been replaced typically have content that is present outside of the document.

Given that there are 3 green, 1 purple, and 2 orange markers.

Total number of markers is (3 + 1 + 2) = 6.

The probability of an event is the ratio of the number of outcomes of a favorable event to the total number of outcomes.

The probability that the first marker is orange is 2/6 = 1/3.

After picking the number of markers that left is (6 - 1) = 5.

The number of orange marker that left is 2 - 1 = 1.

The probability that the second marker is orange is 1/5.

The probability of selecting two orange markers is (1/3) × ( 1/5) = 1/15.

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what is the probability that the cost will be less than $290? (round your answer to four decimal places.)

Answers

Answer:

234

Step-by-step explanation:

A large automobile insurance company wants to test the null hypothesis that the mean age in its population of policyholders is 50, against the alternative hypothesis that it is different from 50. In a random sample of 361 policyholders, the average age is 47.2 years, and the variance is 121 (squared years). The significance level is 5%. What is the population? Letter (see multiple choices in the instructions)

Answers

tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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christina's pizza sells pizza by the slice for lunch. today, they sold 76 slices, including 20 slices of pepperoni pizza. what is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?

Answers

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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A stock valued at 100$ decreases by 2% each year

Answers

Answer:

2%

Step-by-step explanation:

Solve for b. Round your answer to the nearest whole degree.
5.1

3.6
100

Solve for b. Round your answer to the nearest whole degree.5.1b3.6100

Answers

Answer:

b =44

Step-by-step explanation:

We need to use the law of sines to determine b

sin b                     sin 100

----------------  = ----------------

3.6                          5.1

Using cross products

5.1 sin b = 3.6 sin 100

sin b = 3.6 sin 100 / 5.1

Taking the inverse sin of each side

b = arcsin (  3.6 sin 100 / 5.1)

b = 44.03984209

To the nearest degree

n = 44

John used digits from 0 to 6 to create a three-digit PIN code. He forgot his PIN code. He remembers that his code contains different ascending digits. What is the maximum number of combinations John has to check to find his PIN code.

Answers

Answer:

35 combinations

Step-by-step explanation:

The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).

If the first digit is 4, there is 1 possibility:

(4, 5, 6)

If the first digit is 3, there are 3 possibilities:

(3, 4, 5) (3, 4, 6) (3, 5, 6)

If the first digit is 2, there are 6 possibilities:

(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)

If the first digit is 1, there are 10 possibilities :

(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)

If the first digit is 0, there are 15 possibilities:

(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)

Therefore, he would need to try at most 35 combinations.

Let F(x) be an antiderivative of (2(lnx)^4)/(3x), If F(2)=0, then F(8)=?

Answers

To find the value of F(8), we can use the properties of antiderivatives and the given information. F(8) is equal to (484/15) * (ln2)^5.

First, we need to find the antiderivative F(x) of the given function (2(lnx)^4)/(3x). Let's work through the steps:

We can rewrite the function as (2/3) * (lnx)^4 * (1/x). Notice that the derivative of ln(x) is 1/x. Using this, we can apply the power rule of integration:

∫ (lnx)^4 dx = (1/5) * (lnx)^5 + C1,

where C1 is the constant of integration.

Next, we multiply this by (2/3) * (1/x):

∫ (2/3) * (lnx)^4 * (1/x) dx = (2/3) * (1/5) * (lnx)^5 + C1 + C2,

where C2 is another constant of integration.

Now, we have the antiderivative F(x):

F(x) = (2/15) * (lnx)^5 + C,

where C = C1 + C2 is the combined constant of integration.

Given that F(2) = 0, we can substitute x = 2 into the antiderivative:

(2/15) * (ln2)^5 + C = 0.

Now, we can solve for C:

(2/15) * (ln2)^5 + C = 0,

(2/15) * (ln2)^5 = -C,

C = -(2/15) * (ln2)^5.

Now, we can find F(8) by substituting x = 8 into the antiderivative:

F(8) = (2/15) * (ln8)^5 + C,

= (2/15) * (ln2^3)^5 + C,

= (2/15) * 3^5 * (ln2)^5 + C,

= (2/15) * 243 * (ln2)^5 - (2/15) * (ln2)^5,

= (486/15) * (ln2)^5 - (2/15) * (ln2)^5,

= (484/15) * (ln2)^5.

It's important to note that this calculation assumes the validity of the given function and the accuracy of the intermediate steps involved in finding the antiderivative.

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5c+16.5=13.5+10c
solve for c

Answers

Answer:

c = 3/5

Step-by-step explanation:

5c+16.5=13.5+10c

Subtract 5c from both sides:

13.5+5c=16.5

5c=3

c = 3/5

5c-10c=13.5-16.5
-5c=-3
c=3/5
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