Answer:
C
Step-by-step explanation:
Answer:
I pretty sure its D but if im wrong sorry.
Step-by-step explanation:
a food truck operator has traditionally sold 75 bowls of noodle soup each day. he moves to a new location and after a week sees that he has averaged 85 bowls of noodle soup sales each day. he runs a one-sided hypothesis test to determine if his daily sales at the new location have increased. the p-value of the test is 0.031. how should he interpret the p-value?
There is a 3.1% chance of obtaining a sample with a mean of 85 or higher assuming that the true mean sales at the new location are still equal to or less than 75 bowls a day.
What is the P value in statistics?
P value is a part of hypothesis testing. The P value is a measurement used against some data in testing.
Given in question,
Food Truck in Old location:
Sold = 75 bowls of noodle soup
New location Sold = 85 bowls of noodle soup
p-value = 0.031
there is a 3.1% chance of obtaining a mean with a sample.
similarly, that is we can tell that the true mean sales at the new location will be still equal to or less than 75
i.e. [P(X=75) ≤ P(X=85)] bowls a day.
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a researcher wishes to survey student opinions on a proposed increase in fees at her university. she decides to select a sample for telephone interviewing by selecting every 20th name in the student directory. what is this type of sampling called?
The type of sampling described in the scenario is known as systematic sampling.
Systematic sampling involves selecting elements from a population in a systematic and predetermined manner. In this case, the researcher is selecting every 20th name from the student directory to form her sample. This method of sampling is relatively simple to execute and can be less time-consuming compared to other methods such as random sampling. However, it is important to ensure that the selected interval does not coincide with any underlying patterns in the population that may bias the results.
Overall, systematic sampling can be a useful method for obtaining a representative sample from a large population, but it is important to consider the potential limitations and biases associated with this approach.
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given tan(x) = −15/8 in quadrant ii. find sin(2x) and cos(2x)
Given information is that tan(x) is −15/8 in quadrant ii.
So, sin(2x) is -240/289 and cos(2x) is -161/289.
Given, tan(x) = −15/8 and it is in quadrant II. We need to find sin(2x) and cos(2x). Let's begin by finding the missing side of the triangle with the given information: tan(x) = opposite side / adjacent side
= -15/8
We can solve for the hypotenuse using the Pythagorean Theorem:
8^2 + 15^2 = h^2
h = sqrt(289)
= 17
Thus, the opposite side is -15 and the adjacent side is 8. Therefore,
sin(x) = opposite side / hypotenuse
= -15/17
cos(x)= adjacent side / hypotenuse
= 8/17
We know that sin(2x) = 2sin(x)cos(x) and
cos(2x) = cos^2(x) - sin^2(x)
Therefore, sin(2x) = 2sin(x)cos(x)
= 2(-15/17)(8/17)
= -240/289
cos(2x) = cos^2(x) - sin^2(x)
= (64/289) - (225/289)
= -161/289
Hence, sin(2x) is -240/289 and cos(2x) is -161/289 can be concluded as the required answer.
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Goal and scope A. Selecting an appropriate functional unit is important, but may not be straightforward. Here, our functional unit will be 200,000 miles driven - in other words, the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life. As we know, however, a variety of functional units may be acceptable. a. Briefly explain ( 1 sentence each) why each of the following alternative functional units would or would not be appropriate for our purposes. - "one vehicle" - "distance traveled in one full gas tank or battery charge" - "one year of normal commuting" -1kg of vehicle" b. Now let's say that, in addition to a conventional automobile and an EV, we also wanted to consider riding the public bus as a personal transportation option. In this case, would 200,000 miles driven still be an appropriate choice of functional unit? Why or why not? Which of the functional units from the above list might be more suitable? B. In order to capture the major sources of environmental impacts from "cradle to grave" we will consider three phases of the life cycle: Production, Use, and End-of-life. What is one other phase we could consider? Do you think that omitting this phase will have a significant impact on our conclusions? Why or why not? C. Since our stated purpose is to evaluate which option is more "climate-friendly," we will consider the impact category of global warming potential (GWP, units: kgCO eq). a. Before we begin our LCA, let's form some hypotheses about what we expect to find. Do you expect that EVs or conventional automobiles will be "better" from the perspective of GWP? Do you think that the Production, Use, and End-of-life phases will all contribute equally to GWP for conventional vehicles? How about EVs? Explain your reasoning for each answer. b. What is one other impact category we could consider? Would your answers to the above questions be the same for this impact category, or different? Why?
The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs. The distance traveled in one year of normal commuting could be more suitable in this case.
A. The functional unit, which is defined as the quantified performance of a product system or service that will be used as a reference for conducting the life cycle assessment, is important for evaluating the impacts of products or systems on the environment.
The following are the different functional units that are acceptable or not acceptable to assess the environmental impacts of the product or system.
The first functional unit, one vehicle, is not appropriate as it doesn't represent the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life.
The second functional unit, distance traveled in one full gas tank or battery charge, would not be appropriate for our purpose as it is not clear what type of vehicle it will be used for.
The third functional unit, one year of normal commuting, would not be appropriate as it does not consider all the environmental impacts over the lifetime of the vehicle.
The fourth functional unit, 1 kg of vehicle, would not be appropriate as it is too small of a functional unit to evaluate the environmental impacts of the vehicle.
B. If we also wanted to consider riding the public bus as a personal transportation option, 200,000 miles driven would not be an appropriate choice of functional unit. This is because buses are used for transportation purposes, and they will have different environmental impacts than cars.
Therefore, the distance traveled in one year of normal commuting could be more suitable in this case.
C. One other impact category we could consider is the acidification potential. The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs.
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One month before the election, a poll of 630 randomly selected voters showed 54% planning to vote for a certain candidate. A week later, it became known that he had tweeted inappropriate pictures of himself, and a new poll showed only 51 % of 1010 voters supporting him. Do these results indicate a decrease in voter support for his candidacy? Test an appropriate hypothesis and state your conclusion
To determine whether there is a decrease in voter support for the candidate after the scandal, we can test the hypothesis using the proportions of the two polls. The first poll showed 54% support among 630 randomly selected voters, while the second poll showed 51% support among 1010 voters. By conducting a hypothesis test, we can determine if the difference in proportions is statistically significant.
To test the hypothesis, we can use the two-sample z-test for proportions. The null hypothesis (H0) assumes no difference in voter support, while the alternative hypothesis (H1) assumes a decrease in support. We can calculate the test statistic using the formula:
z = (p1 - p2) / √[(p(1 - p) / n1) + (p(1 - p) / n2)]
where p1 and p2 are the proportions from the two samples, and n1 and n2 are the respective sample sizes. p is the pooled proportion, calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the respective number of successes (votes for the candidate) in each sample.
By calculating the z-value, we can compare it to the critical value for the desired significance level (e.g., α = 0.05). If the z-value exceeds the critical value, we reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant decrease in voter support.
After performing the calculations, if the z-value exceeds the critical value, we can conclude that there is evidence to support the claim of a decrease in voter support for the candidate after the scandal. Conversely, if the z-value does not exceed the critical value, we fail to reject the null hypothesis, suggesting that there is insufficient evidence to conclude a significant decrease in support.
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the probility of alvins mother will server rice with dinner is 0.78 the probilty that she will server carrots is with dinner is 0.30
The probability of both rice and carrots being served with dinner is 23.4%.
The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.
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Suppose that a 2×2 matrix AA has an eigenvalue 33 with corresponding eigenvector [−1,2] and an eigenvalue −2 with corresponding eigenvector [2.−5].
Find an invertible matrix PP and a diagonal matrix DD so that A=PDP^−1. Enter your answer as an equation of the form A=PDP^−1. You must enter a number in every answer blank for the answer evaluator to work properly.
Our answer is A = [5 -2; -10 4]/7.
We know that if λ is an eigenvalue of matrix A, then the eigenvectors corresponding to it satisfy the equation (A - λI)X = 0 where X is the eigenvector matrix and I is the identity matrix
.Using this equation, we can find the matrix A as:
For eigenvalue λ = 3, [A - 3I][x y]T = 0⟹[(a-3) b; c (d-3)][x y]T = 0⟹(a-3)x + by = 0; cx + (d-3)y = 0
We know that the eigenvector [−1, 2] corresponds to this eigenvalue.
So, [x y]T = [-1, 2]T. Therefore, (a-3)(-1) + b(2) = 0 and c(-1) + (d-3)(2) = 0.⟹ a - 3 + 2b = 0 and c - 2d + 6 = 0.Let's solve this system of equations to find a and b in terms of c and d.
⟹ a = 2b + 3 and c = 2d - 6.
Substituting these in the matrix A, we get A = [2b+3 b; 2d-6 d] = b[2 1; 0 0] + d[3 0; 2 -2]
It can be observed that the matrix A can be expressed as a linear combination of eigenvectors corresponding to λ1 = 3 and λ2 = -2.For eigenvalue λ = -2, [A + 2I][x y]T = 0⟹[(a+2) b; c (d+2)][x y]T = 0⟹(a+2)x + by = 0; cx + (d+2)y = 0We know that the eigenvector [2, -5] corresponds to this eigenvalue.
So, [x y]T = [2, -5]T. Therefore, (a+2)(2) + b(-5) = 0 and c(2) + (d+2)(-5) = 0.⟹ 2a - 5b + 4 = 0 and 2c - 5d - 10 = 0.
Let's solve this system of equations to find a and b in terms of c and d.⟹ a = (5b-4)/2 and c = (5d+10)/2.
Substituting these in the matrix A, we get A = [5b-4 b; 5d+10 d] = b[1 1/5; 0 0] + d[2 -1; 5 5]
It can be observed that the matrix A can be expressed as a linear combination of eigenvectors corresponding to λ1 = 3 and λ2 = -2.
Since we now know the eigenvectors corresponding to the eigenvalues of A, we can find P and D matrices.
P is formed using the eigenvectors as its columns and D is a diagonal matrix having the corresponding eigenvalues on its diagonal.
Therefore, P = [−1 2; 2 -5] and D = [3 0; 0 -2]
.We know that A = PDP-1.
Therefore, A = [−1 2; 2 -5][3 0; 0 -2][1/7 -2/7; -2/7 -1/7] = [5 -2; -10 4]/7.A = [5 -2; -10 4]/7.
Therefore, our answer is A = [5 -2; -10 4]/7.
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the president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean sat score is lower than previous years. he took a sample of 30 of this year's entering students and found that their mean sat score is 1,501 with a standard deviation of 53. the university's record indicates that the mean sat score for entering students from previous years is $1,520. he wants to find out if his claim is supported by the evidence at a 5% significance level. which of the following best describes a type i error? the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed not lower the president concludes that the mean sat score of the entering students is higher than previous years when it is indeed higher the president concludes that the mean sat score of the entering students is not lower than previous years when it is indeed lower the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed lower
The result is not statistically significant.
To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.
The null hypothesis is
H₀ : μ ≥ 1520
The alternative hypothesis is
Hₐ : μ ≤ 1520
then the test statistic is,
t = (x - μ)/(s/√n)
= (1501 - 1520)/(53/√20)
t = - 1.603
The t-test statistic is - 1.603.
Degree of freedom n - 1 = 20 - 1 = 19
Hence the t-critical value is -1.792.
The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.
The result is not statistically significant.
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I need help with 8, 9, and 10 if you can show work that'd be great! Thank you
Answer:
answers highlighted in yellow, hope this helps!
Step-by-step explanation:
In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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A large 60-foot tall Mexican fan palm would be in correct proportion for a multi-story office complex but could dwarf a single story house. Group of answer choices True False
The given statement "A large 60-foot tall Mexican fan palm would be in correct proportion for a multi-story office complex but could dwarf a single-story house" is true.
The 60-foot-tall Mexican fan palm would be in correct proportion for a multi-story office complex. However, if it were planted next to a single-story house, it could overshadow it and appear too large. Therefore, we can say that the statement "A large 60-foot tall Mexican fan palm would be in correct proportion for a multi-story office complex but could dwarf a single-story house" is true.
A tall tree like this can be better suited to multi-story buildings with a larger size, making them look proportional. However, if placed next to a single-story house, it could overshadow and appear too large for the size of the house.
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Write an equation of the line that passes through the given point and is parallel to the given line
The equation of the line that is parallel to 3y - x = - 12 and passes through (18, 2) will be 3y - x + 12 = 0.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The equation is given below.
3y - x = - 12
The equation of the line that is parallel to the given line is given as,
3y - x + d = 0
The equation that passes through (18, 2) will be given as,
3(2) - 18 + d = 0
6 - 18 + d = 0
d = 18 - 6
d = 12
Then the equation of the parallel line will be 3y - x + 12 = 0.
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Mauricio is driving from his house to the cinema. He drives 3 kilometers to the south and 8 kilometers to the west and arrives at the cinema. What is the shortest distance between his house and the cinema
F FOR FUN. NOT FOR SON.
Mauricio got f by the cinema hall owner.
The shortest distance between his house and the cinema 8.4261 km. Mauricio travelled a total of 11 km which is more than 8.4261 km.
Given that, Mauricio is driving from his house to the cinema.
He drives 3 kilometers to the south and 8 kilometers to the west and arrives at the cinema. The diagram is attached below.
So, totally she travelled around 3+8 km i.e., 11 km.
Now according to the Pythagoras's theorem, the length of hypotenuse is equal to the sum of squares of other two sides.
From the diagram, CH is the hypotenuse.
So, \(CH = \sqrt{CO^{2}+OH^2 }\)
⇒ CH = √3²+8²
⇒ CH = √9+64
⇒ CH = √71
⇒ CH = 8.4261
Therefore the shortest distance between his house and the cinema is 8.4261 km.
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Find the greatest common factor for the terms 6x^5y^8, 8x^3y^9, 12x^2y^4
Answer:
i dont know
Step-by-step explanation: just for points sorry :(
4. Elianni has a bucket with a 5-gallon capacity. Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. How many gallons of soapy water are in Elianni's bucket? Show your work.
4.part 2 How many more quarts of soapy water will the bucket hold? Show your work.
(middle school)
1) The number of gallons of soapy water that are in Elianni's bucket are; 1.5 gallons
2) The number of more quarts that it can hold is; 14 more quarts
How to solve Algebra Word Problems?Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. From conversion factors, we know that;
1 pint = 1/8 gallon
Thus;
12 pints = 12 * (1/8)
12 pints = (12/8) gallons
= 3/2 = 1.5 gallons.
Due to the fact that the bucket is 5 gallon capacity, It can hold:
5 - 1.5 = 3.5 gallons more.
But from conversion factors, we know that;
1 gallon = 4 quarts.
Thus;
3.5 gallons = 3.5 * 4
= 14 quarts more.
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the difference between seven and a number is four. HELP ME!
Answer:
3.
Step-by-step explanation:
Difference means subtract. So your question is 7 - 4 and that is 3.
Answer:
3
Step-by-step explanation:
Let the number be x
7-x=4
-x=4-7
-x = -3
x=3
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She descends 48.7 feet.
She then rises 38.3 feet.
Next, she travels down a second time, 83.6 feet.
How many feet must she now ascend to get back to sea level?
Answer:
94
Step-by-step explanation
they go down 48.7 from 0 with is -48.7 then they go up 38.3 feet which is a positive so you add 38.3 + (-48.7) = -10.4. then we subtract 10.4 - (83.6) and get -94 feet, but to get back to 0 aka sea level they have to ascend 94 feet to get back up. so its positive 94
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
During a space shuttle launch, a maneuver is scheduled to begin at T minus 80
seconds, which is 80 seconds before liftoff. The maneuver lasts 1 1/2 minutes. At
what time will the maneuver be complete?
Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.
What is the order of rotation?The amount of rotations a shape can undergo around its center before returning to its initial position is referred to as the order of rotation in mathematics and geometry. It is also referred to as a shape's circular symmetry. A circle, for instance, has an order of rotation of infinite because it can be rotated indefinitely around its center without changing how it appears. A cube has an order of rotation of four because it will remain the same in shape whether it is rotated 90, 180, 270, or 360 degrees around its center.
given
At T minus 80 seconds, or 80 seconds prior to liftoff, the move is slated to start.
We must multiply the duration of the maneuver by the beginning time to determine the time at which it will be finished.
The move is estimated to take 1 and a half minutes. Since there are 60 seconds in a minute, we can change this to seconds by multiplying it by 60:
1 and a half minutes is equal to 1.5 minutes, 1.5 minutes multiplied by 60 seconds is equal to 90 seconds.
The move lasts 90 seconds as a result.
We multiply the duration of the move (90 seconds) by the start time (T minus 80 seconds) to determine the time at which the maneuver will be finished:
The move will be finished in T minus 80 seconds plus 90 seconds.
By adding the integers, we can make this simpler:
When the move is finished, the time will be T minus 80 seconds + 90 seconds + T plus 10 seconds.
Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.
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The figure below is composed of two quarter circles and one right triangle
Which measurement is closest to the area of the figure
Step-by-step explanation:
it's probably A i guess.
solve for x in the equation x^2 + 20x + 100 =36
Answer:
x1 = -4, x2 = -16
Step-by-step explanation:
1.- equal the equation to 0
x^2 + 20x + 100 - 36 = 0
x^2 + 20x + 64
2.- factor to simplify.
(x + 4)(x + 16) = 0
3.- equal each factor to 0 and solve for x.
x + 4 = 0, x = -4
x + 16 = 0, x = -16
Answer: A.) x = -16 or x = -4
Step-by-step explanation:
correct on Edge 2021 ✅
the line is parallel to the graph of 2x-3y=7 and contains the point (-3, -3)
The equation of the line that is parallel to the graph of 2x-3y=7 and contains the point (-3, -3) is expressed as: y = (2/3)x - 1.
What is the Equation of Parallel Lines?To find the equation of a line that is parallel to the graph of 2x - 3y = 7, we need to determine the slope of the given line. We can rewrite the equation in slope-intercept form:
2x - 3y = 7
-3y = -2x + 7
y = (2/3)x - 7/3
This implies that the slope of this line is m = 2/3.
Thus, the equation of the line we are to find will take the following form:
y = (2/3)x + b
where b is the y-intercept of the line.
To find the y-intercept (b), substitute (x, y) = (-3, -3) and m = 2/3 into y = mx + b:
-3 = (2/3)(-3) + b
-3 = -2 + b
b = -1
Substitute m = 2/3 and b = -1 into y = mx + b:
y = (2/3)x - 1
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John measured the distance between Lajitas and Panther Junction on the map below as 3 5/8 inches. Based on the scale provided, what is the actual distance in miles between Lajitas and Panther Junction? Express your answer as decimal.
To solve the problem, use the scale that is provided to convert the measurement on the map to actual distance. The scale on the map is 1 inch represents 8 miles, which means that each inch on the map represents 8 miles of actual distance.
Therefore, to find the actual distance between Lajitas and Panther Junction, we must multiply the distance measured on the map by the scale factor of 8 miles per inch. This gives us Actual distance = (distance on map) x (scale factor)Actual distance = 3 5/8 inches x 8 miles per inch Now, convert 3 5/8 to an improper fraction by multiplying the whole number 3 by the denominator 8 and adding the numerator 5:3 5/8 = (3 x 8 + 5)/8 = 29/8
Therefore, the actual distance between Lajitas and Panther Junction is:Actual distance = (29/8) x 8 miles per inchActual distance = 29 milesTherefore,we must multiply the distance measured on the map by the scale factor of 8 miles per inch. This gives us Actual distance = (distance on map) x (scale factor)Actual distance = 3 5/8 inches x 8 miles per inch Now, convert 3 5/8 to an improper fraction by multiplying the whole number 3 by the denominator 8 and adding the numerator 5 the actual distance between Lajitas and Panther Junction is 29 miles, expressed as a decimal. The decimal is 29.
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Which graph shows the solution to this system of equations? x/2 - 3 = y 3+y/2 = x
The equation of the red line will be y = 5/3 x - 3 and The equation of the green line will be y = 0x + 1 i.e y = 1 .
What is Equation of a Straight line ?
Equation of a straight line as follows : y = mx + c
where m is the slope of line.
Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
Therefore, The equation of the red line will be y = 5/3 x - 3 and The equation of the green line will be y = 0x + 1 i.e y = 1 .
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Help...Question 1 Objective: Apply properties of rhombi to solve mathematical and real-world problems. Rhombus LMNO is shown with its diagonals. Angle MNO measures 119º. What is the measure of angle LMN? M P N o
Answer:
61°
Step-by-step explanation:
As in all parallelograms, adjacent angles are supplementary.
∠LMN = 180° -∠MNO
∠LMN = 180° -119° = 61°
Angela sees a puzzle that uses a board with 20 holes drilled into it. There are 18 pegs in the holes, and the goal of the puzzle is to move the pegs by hopping them into the open holes until both holes are at one end of the board. How could Angela use the puzzle to model semiconductors
Angela can use the puzzle to model semiconductors as a p-type semiconductor with the pegs representing electrons and the holes representing positive charges
Semiconductors are substances with homes somewhere between them. ICs(integrated circuits) and electronic discrete additives along with diodes and transistors are made from semiconductors. commonplace elemental semiconductors are silicon and germanium.
Silicon is a one of those semiconductor. Silicon bureaucracy maximum of ICs. A semiconductor substance lies among the conductor and insulator. It controls and manages the waft of electrical modern-day in digital equipment and devices.
As a result, it's far a famous thing of electronic chips made for computing additives and an expansion of digital devices, together with solid-kingdom storage.
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Please help ASAP thank you so much
If you sell ice cream cones at the football game you must sell 25 to make a profit. You have already sold 15 cones. Write an inequality that can be solved to show all the numbers of cones, c, that you will still need to sell
Answer:
The inequality to describe the problem is 15 +c >25.
We must sell more than 5 cones to make a profit
Step-by-step explanation:
From this problem, we can see that we need to sell a number of cones (c), that when added to the 15 cones that we have already sold, the result will be greater than 25.
To set up the inequality sign, we need to, first of all, know the inequality sign that we will be using. From the preceding statement, we can see that we need to sell greater than a certain number of cones.
This should tell us that we will be needing the greater-than sign (>).
The next step is to know the format the equation should take:
We have sold 15 cones; We need to sell c more to make it greater than 25.
This will be 15 +c >25.
The inequality to describe the problem is 15 +c >25.
from this, we can see that c > 5 cones.
We must sell more than 5 cones to make a profit