Answer:
17x-7y
Step-by-step explanation:
Im assuming you need to simplify it.
combine 13x and 4x
17x-7y
When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?
Answer:
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Step-by-step explanation:
If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:
\(d=14-4\\d=10\ hours\)
London is 10 hours ahead of Honolulu.
If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:
\(t=12+10\\t=22 = 10:00\ p.m.\)
Since he arrived in London at 1:00 p.m. at Friday, the flight time was:
\(F= (24-22)+13\\F=15\ hours\)
The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:
\(T=30-(15*1)\\T=15^oC\)
Converting it to Fahrenheit
\(T=(15*\frac{9}{5})+32 \\T=59\ F\)
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Answer:
d
Step-by-step explanation:
c
D.
M=2 and P= (1,3)
which graph shows a line with siope that passes through point P A. A B. B C. C D. D
Which of the following is beneficial feature of a nature preserve? [mark all correct answers] a. large b. linear c. circular d. have areas that allow organisms to move between preserves
A beneficial feature of a nature preserve is that it d. have areas that allow organisms to move between preserves. A nature preserve is a protected area that is dedicated to the conservation of natural resources such as plants, animals, and their habitats.
It plays a crucial role in maintaining biodiversity and ecological balance. The size or shape of a nature preserve is not the only determining factor of its effectiveness.
Large preserves may protect more species and allow for larger populations to thrive, but small preserves can still be effective in protecting rare or threatened species. Linear and circular preserves can be beneficial in different ways depending on the specific goals of conservation.
However, the most important aspect of a nature preserve is the ability for organisms to move between them. This allows for genetic diversity, prevents inbreeding, and helps populations adapt to changing environmental conditions. This movement can occur through corridors or connections between preserves, which can be natural or man-made.
In summary, while size and shape can have some impact on the effectiveness of a nature preserve, the ability for organisms to move between them is the most beneficial feature.
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Reciprocal of 7 5/8 as fraction
Hey there!
7 5/8
= 7 * 8 + 5 / 8
= 56 + 5 / 8
= 61 / 8
= 61 ÷ 8
= 7.625
Reciprocal form for fraction is basically the bottom number switched from the top number
Therefore, your answer is: 7 8/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I need help it's algebra solving systems of equations by substitution. I need to show my work and it's due on Monday please help. also it's middle school work but it changed it to highschool.
\( - 4x + y = 6 \\ 5x - y = 21\)
\( - 7x - 2y = 13 \\ x - 2y = 11\)
\( - 5x + y = - 3 \\ 3x - 8y = 24\)
\( - 5x + y = - 2 \\ - 3x + 6y = - 12\)
The solutions for the system of equations given by Substitution method is (27, 114), (-0.25, -5.625), (0, -3) and (0, -2).
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
1) -4x + y = 6
5x - y = 21
We are using Substitution Method.
From, -4x + y = 6, we get, y = 4x + 6
Substituting y = 4x + 6 in the equation 5x - y = 21, we get,
5x - (4x + 6) = 21
5x - 4x - 6 = 21
x = 27
So, y = 4x + 6 = 114
2) -7x - 2y = 13
x - 2y = 11 ⇒ x = 2y + 11
Substituting x = 2y + 11 in the first equation -7x - 2y = 13,
-7(2y + 11) - 2y = 13
-14y - 77 - 2y = 13
-16y = 90
y = -5.625
So, x = 2y + 11 = -0.25
3) -5x + y = -3 ⇒ y = 5x - 3
3x - 8y = 24
Substituting y = 5x - 3 in the second equation 3x - 8y = 24,
3x - 8(5x - 3) = 24
3x - 40x + 24 = 24
x = 0
y = 5x - 3 = -3
4) -5x + y = -2 ⇒ y = 5x - 2
-3x + 6y = -12
Substituting y = 5x - 2 in the second equation -3x + 6y = -12,
-3x + 6 (5x - 2) = -12
-3x + 30x - 12 = -12
x = 0
So, y = 5x - 2 = -2
Hence the system of equations are solved.
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a rectangular storage container with an open top is to have a volume of 12 cubic meters. the length of its base is twice the width. material for the base costs 10 dollars per square meter. material for the sides costs 6 dollars per square meter. find the cost of materials for the cheapest such container.
The cost of materials for the cheapest container is $184.67.
Suppose the width is x and it is given that the length of its base is twice the width, so the length of the base is 2x.
The base area is 2x².
Since the volume is $12m³
The height has to be 12/ 2x² = 6/ x²
The cost of making such a container is.
cost of base = 2x² × 10
= 20x²
The cost of sides =( 2 × 2x 6/x² + 2 × x × 6 / x²) 6
= (24/x + 12/x )6
= 36/x × 6
216/x
The overall cost is hence the sum of the base and the sides = f(x)
= 20x² + 216/x
To get the minimum,
df(x) / dx = 20x² + 216/x = 0
= 40x - 216/x² = 0
x³ = 216/40
= 54/10
= 27/5
x = 3/∛5
= 3/ 1.70
= 1.76
f(x) = 20(1.76)² + 216/ 1.76
= 61.952 + 122.72
= 184.67
Therefore we get the cost of the materials to be $184.67.
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Select the correct answer. what makes mobile banking somewhat less secure than regular online banking? a. mobile banking apps are inherently less secure than banking programs on a computer. b. mobile devices can be lost or stolen more easily than a computer, such as a laptop. c. information entered into a mobile device can be accessed by other users on the same network. d. unlike with computers, mobile banking apps store personal financial information and share it with other apps.
The reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.
Mobile banking is doing transaction and bank related works through mobile apps.
Online banking refers to internet banking, usually done through websites of banks. Usually, user uses this type of banking in desktops, rather than mobiles as for mobiles, there are apps already available which are more convenient than websites.
Option A is not correct as there is almost same security for both types of banking.
Option C is not correct as this third party information access can be done for both mobile and online banking if the security is weak, else none of them will be affected.
Option D: Mostly, banking apps do not store crucial informations in memory, and if they do so,then they are protected and no other app can use it., so this option is incorrect.
Option B is somewhat correct as mobiles can be lost or stolen easily. The hacker can then use that device to steal the data if the security is weak. But, even if the security is tight, the situation when your mobile with banking information is in hands of an unethical hacker is somewhat risky.
Thus, the reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.
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Find asked slope
(See image for problem)
Answer:
The slope is -1/2, or -0.5.
Step-by-step explanation:
Using the formula m = (y2 - y1)/(x2 - x1), you can find the slope of the equation.
In this case, you would plug in your values as m=(-1-4)/(7-(-3))
Then simplify to m = -5/-10
Then reduce the fraction to -1/2, or -0.5
What number n is four times as close to 2 as it is to 10
Answer:
n=38/3
Step-by-step explanation:
4*(n-10)=(n-2)
4*(n-10)=n-2
4n-40=n-2
3n-40=-2
3n=38
n=38/3
82=-3(-4a+3)-5 what’s the answer
Step-by-step explanation:
82=−3(−4a+3)−5
Step 1: Simplify both sides of the equation.
82=−3(−4a+3)−5
82=(−3)(−4a)+(−3)(3)+−5 (Distribute)
82=12a+−9+−5
82=(12a)+(−9+−5) (Combine Like Terms)
82=12a+−14
82=12a−14
Step 2: Flip the equation.
12a−14=82
Step 3: Add 14 to both sides.
12a−14+14=82+14
12a=96
Step 4: Divide both sides by 12.
\(\frac{12a}{12} = \frac{96}{12}\)
a=8
a plant store is having a sale. they are selling 25 house plants that are full grown, 25 outdoor plants that are full grown, 15 house plants that are seedlings, and 30 outdoor plants that are seedlings. i choose a plant at random to buy for a friend. what is the chance it is full grown, given it is a houseplant?
There are 25 houseplants that are full-grown and 15 houseplants that are seedlings in the plant store. You want to know the likelihood that a plant that is bought for a friend is a full-grown houseplant.
The probability that a randomly selected plant will be a full-grown houseplant can be calculated by dividing the number of full-grown houseplants by the number of total houseplants.
Therefore, the probability of choosing a full-grown houseplant is 25/(25 + 15) = 5/8 = 0.625 or 62.5%.
The probability that a plant is a houseplant is 25 + 15 = 40.
The probability that a plant is an outdoor plant is 25 + 30 = 55.
Since there are a total of 40 houseplants and 25 are full-grown, the probability of choosing a full-grown houseplant is 25/40 or 5/8, which can be simplified to 0.625 or 62.5%.
Therefore, the chance that the plant you are buying for your friend is a full-grown houseplant is 62.5%.
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Solve for y,if 3+3y=1–13y
Step 1: Simplify both sides of the equation.
3+3y=1−13y−9
3+3y=1+−13y+−9
3y+3=(−13y)+(1+−9)(Combine Like Terms)
3y+3=−13y+−8
3y+3=−13y−8
Step 2: Add 13y to both sides.
3y+3+13y=−13y−8+13y
16y+3=−8
Step 3: Subtract 3 from both sides.
16y+3−3=−8−3
16y=−11
Step 4: Divide both sides by 16.
16y
16=−11/16
y=−11/16
Answer:
y=−11/16
given two functions, and . a. determine whether the following statements are true or false. explain your reasoning for each answer, number your answers, and show work when needed. f(x) and g(x) have the same end behavior. f(x) and g(x) both have domain restrictions. the average rate of change of f(x) on the interval from x
It is difficult to definitively determine if they have domain restrictions.
Are there any known mathematical operations or transformations applied to f(x) or g(x) that may affect their end behavior or domain restrictions?The statement "f(x) and g(x) have the same end behavior" can be either true or false. To determine this, we need more information about the functions f(x) and g(x). End behavior refers to how the function behaves as x approaches positive or negative infinity.If both functions have the same degree (highest power of x) and the leading coefficients (coefficients of the highest power terms) are also the same, then their end behavior will be the same.
However, if either the degrees or the leading coefficients differ, the end behavior will be different, making the statement false.
The statement "f(x) and g(x) both have domain restrictions" is likely to be true. Domain restrictions occur when certain values of x are not defined or allowed in the function.For example, if f(x) contains a square root term, then the domain will be restricted to non-negative values of x. Similarly, if g(x) contains a denominator, the domain will be restricted to exclude values of x that make the denominator zero.
However, without specific information about the functions f(x) and g(x), it is difficult to definitively determine if they have domain restrictions.
The average rate of change of f(x) on the interval from x1 to x2 can be calculated using the formula (f(x2) - f(x1)) / (x2 - x1).To determine the truthfulness of this statement, we need the specific values of x1 and x2 and the functional forms of f(x). Without this information, we cannot determine if the statement is true or false.
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Answer the following: a) Explain the admixtures in concrete and Differentiate between Chemical and Mineral admixtures. b) Sketch the Mechanism of corrosion and list down the corrosion protection methods.
In order to change certain concrete qualities, materials are referred to as additives throughout the mixing process.
There are two types of admixtures: chemical and mineral.
Chemical admixtures are substances that are added to the concrete mix in small quantities to achieve specific properties.
They can improve the workability of the concrete, reduce water content, increase strength, or control the setting time.
Examples of chemical admixtures include water-reducing admixtures, air-entraining admixtures.
Mineral admixtures, on the other hand, are fine materials that are added to the concrete mix as a partial replacement of cement.
They can enhance the workability, durability, and strength of the concrete. Common mineral admixtures include fly ash, silica fume, and ground granulated blast furnace .
b) Corrosion in concrete occurs when the reinforcing steel inside the concrete is exposed to oxygen and moisture, leading to the formation of rust.
This can weaken the structure and reduce its lifespan. The mechanism of corrosion involves a series of electrochemical reactions.
First, the steel acts as the anode, and oxygen and water react to form hydroxyl ions. Then, the hydroxyl ions combine with iron ions from the steel to form iron hydroxide, which further reacts with carbon dioxide from the air to form iron carbonate, commonly known as rust.
To protect against corrosion, various methods can be employed. These include:
1. Coating:
Applying a protective coating, such as paint or epoxy, to the steel surface to prevent contact with oxygen and moisture.
2. Cathodic Protection:
Creating an electrical circuit that supplies a protective current to the steel, effectively stopping the electrochemical reactions that cause corrosion.
3. Use of Corrosion Inhibitors:
Adding chemicals to the concrete mix or applying them to the surface of the structure to reduce the corrosion rate.
4. Proper Concrete Mix Design:
Designing the concrete mix with low permeability and the correct water-cement ratio to minimize the ingress of moisture and oxygen.
5. Adequate Concrete Cover:
Ensuring a sufficient thickness of concrete cover over the steel reinforcement to protect it from exposure.
These corrosion protection methods help to prolong the lifespan and maintain the structural integrity of concrete structures.
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a) Admixtures in concrete enhance its performance and properties. Chemical admixtures modify concrete properties, while mineral admixtures enhance specific properties as cement replacements.
b) Corrosion is an electrochemical process where metal deteriorates due to oxygen, moisture, and contaminants. Corrosion protection methods include coatings, corrosion-resistant materials, cathodic protection, and proper design.
In order to change certain concrete qualities, materials are referred to as additives throughout the mixing process.
There are two types of admixtures: chemical and mineral.
Chemical admixtures are substances that are added to the concrete mix in small quantities to achieve specific properties.
They can improve the workability of the concrete, reduce water content, increase strength, or control the setting time.
Examples of chemical admixtures include water-reducing admixtures, air-entraining admixtures.
Mineral admixtures, on the other hand, are fine materials that are added to the concrete mix as a partial replacement of cement.
They can enhance the workability, durability, and strength of the concrete. Common mineral admixtures include fly ash, silica fume, and ground granulated blast furnace .
b) Corrosion in concrete occurs when the reinforcing steel inside the concrete is exposed to oxygen and moisture, leading to the formation of rust.
This can weaken the structure and reduce its lifespan. The mechanism of corrosion involves a series of electrochemical reactions.
First, the steel acts as the anode, and oxygen and water react to form hydroxyl ions. Then, the hydroxyl ions combine with iron ions from the steel to form iron hydroxide, which further reacts with carbon dioxide from the air to form iron carbonate, commonly known as rust.
To protect against corrosion, various methods can be employed. These include:
1. Coating:
Applying a protective coating, such as paint or epoxy, to the steel surface to prevent contact with oxygen and moisture.
2. Cathodic Protection:
Creating an electrical circuit that supplies a protective current to the steel, effectively stopping the electrochemical reactions that cause corrosion.
3. Use of Corrosion Inhibitors:
Adding chemicals to the concrete mix or applying them to the surface of the structure to reduce the corrosion rate.
4. Proper Concrete Mix Design:
Designing the concrete mix with low permeability and the correct water-cement ratio to minimize the ingress of moisture and oxygen.
5. Adequate Concrete Cover:
Ensuring a sufficient thickness of concrete cover over the steel reinforcement to protect it from exposure.
These corrosion protection methods help to prolong the lifespan and maintain the structural integrity of concrete structures.
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What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2
Answer:
a : 2 , b : 1 , c : 0 , d : 0
Step-by-step explanation:
a: 2
b: 1
c: 0
d:0
Answer:
d .
Step-by-step explanation:
I went over it in class .
Among fatal plane crashes that occurred during the past 70 years, 581 were due to pilot error, 56 were due to other human error, 579 were due to weather, 555 were due to mechanical problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing% Other human error nothing% Weather nothing% Mechanical problems nothing% Sabotage nothing%
Answer:
\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)
Pilot error, better training of pilots may reduce accidents.
Step-by-step explanation:
The total number of crashes is:
\(n = 581+56+579+555+526\\n=2297\ crashes\)
The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:
\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)
The most serious threat to aviation safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.
17 of the 40 trees in a park are pine trees.
What percentage of the trees in the park are
not pine trees?
Give your answer to 1 d.p.
Answer:
57.5%
Step-by-step explanation:
23 of the 40 trees are not pine trees.
23/40 = .575 = 57.5%
The corner Deli operates on an overhead percent of 20% of the selling price, which results on an overhead of $1.25 on the company's private-labeled bags of corn chips. If the corner Deli has a markup of $4.35 on the bag of corn chips, find (a) selling price, (b) net profit, and (c) cost.
a) The Selling price at a markup of $4.35 on the bag of corn chips is $6.25 b) The Net profit a markup of $4.35 on the bag of corn chips is $3.10 c) The cost at a markup of $4.35 on the bag of corn chips is $1.90.
How to find selling price,net profit, and cost.We can use the following equations to solve for the selling price, net profit, and cost of the corn chips:
(a) Selling price = cost + markup
(b) Net profit = selling price - cost - overhead
(c) Overhead = overhead percent x selling price
Given that the overhead is $1.25 and the overhead percent is 20%, we can calculate the selling price as follows:
Now that we know the selling price, we can use equation (a) to calculate the cost:
(a) Selling price = cost + markup
$6.25 = cost + $4.35
Cost = $6.25 - $4.35
Cost = $1.90
(b) Net profit = selling price - cost - overhead
Net profit = $6.25 - $1.90 - $1.25
Net profit = $3.10
(c) Overhead = overhead percent x selling price
$1.25 = 0.2 x selling price
Selling price = $1.25 / 0.2
Selling price = $6.25
Therefore, the selling price of the corn chips is $6.25, the net profit per bag is $3.10, and the cost is $1.90.
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4. Which of the following numbers is a whole number?
-9
14/17
22
1.547
help
the answer that you are looking for is C
yolanda is planning a 778-mile trip to visit her daughter in maryland. she plans to average 50 miles per hour. at that speed, approximately how long will the trip take? express your answer to the nearest tenth of an hour.
PLEASE HELP!!!! PRQ = ?
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning an even number and flipping heads is .
The compound event probability of spinning an even number and flipping heads is P ( A ) = 1/4
Given data ,
Let the total number of outcomes in spinning a spinner be = 6
The number of even outcomes = 3
Let the number of outcomes in flipping a coin = 2
So , the probability of landing an even number = 3/6 = 1/2
The probability of landing a heads = 1/2
And , probability of spinning an even number and flipping heads is given by P ( A ) = probability of landing a heads x probability of landing an even number
On simplifying , we get
P ( A ) = 1/2 ( 1/2 )
P ( A ) = 1/4
Hence , the probability is 1/4 or 25 %
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Cleveland, OH, where the maximum and minimum temperatures were 70
∘
F and 58
∘
F respectively, experienced a mean temperature of
∘
F (round up if necessary). a. 58 b. 60 c. 64 d. 66 11. The mean temperature derived from the maximum and minimum temperatures at Cleveland indicates degree days were accumulated. a. heating (HDD) b. cooling (CDD) 12. Therefore, Cleveland accumulated degree day(s) on 6-7 September 2022. a. 0 b. 1 c. 3 d. 7 13. Based on the plotted temperatures across the rest of Ohio, remaining stations HDD on 6-7 September 2022. a. accumulated b. did not accumulate You can observe and calculate HDD or CDD as we progress into the fall and through the winter. Wind Chill HDD and CDD values and their effect on homeowners' utility bills may stress tight budgets through the seasons. Since energy bills are dependent on the human who uses the energy, another factor for homeowners to consider when budgeting energy consumption is wind chill. The wind chill is an air temperature index that takes into account heat loss from exposed skin caused by the combined effect of wind and low air temperature. Outdoors, the cooling effect of wind along with the ambient temperature is reflected by using the wind chill equivalent temperature. Go to NWS Daily Weather Map for the most recent map. The pane to the left allows you to select any date back to 1 January 2003. Each day's map series includes the surface map, colorcoded maps of maximum and minimum temperatures, mid-tropospheric flow at the 500−mb level, and total precipitation. The surface and 500−mb maps are for 12Z(8a.m. EDT or 7a.m. EST, etc.) while the temperatures and precipitation maps are for the entire day. Clicking on the maps opens a more detailed map. Bring up the daily weather map set for 23 January 2022 . Scroll down and click on either the Maximum or Minimum Temperature map. 14. For 23 January 2022, on the North Dakota-Minnesota border, Fargo had a minimum temperature of −25
∘
F. With the minimum temperature there, assume Fargo was experiencing a wind speed of 10mph. With the NWS Wind Chill Chart in Figure 4A-5 from Investigation 4A, the wind chill for this combination of temperature and wind speed would have been
∘
F. a. −16 b. −20 c. −35 d. −41 e. −47
The mean temperature in Cleveland, OH, was 64°F. The accumulated degree days for Cleveland on 6-7 September 2022 were 1. The rest of Ohio accumulated degree days during the same period.
Based on the given information, the maximum temperature in Cleveland was 70°F and the minimum temperature was 58°F. To find the mean temperature, we add the maximum and minimum temperatures and divide by 2: (70°F + 58°F) / 2 = 128°F / 2 = 64°F.
Degree days are a measure of heating or cooling requirements. In this case, since the mean temperature in Cleveland was lower than a certain base temperature, degree days were accumulated. The base temperature is typically set at 65°F for cooling and 55°F for heating. Since the mean temperature in Cleveland was below the base temperature, the accumulated degree days are heating degree days (HDD).
For the specific date of 6-7 September 2022, Cleveland accumulated 1 heating degree day (HDD). This means that the average temperature for that period was 1 degree below the base temperature of 55°F.
The remaining stations in Ohio also accumulated heating degree days (HDD) on 6-7 September 2022. This indicates that the temperatures across the rest of Ohio were below the base temperature during that period.
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(Score for Question 1:__ of 7 points) 1. Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must cut the bricks to fit the angles of the garden. Use the given measures to answer the question. mA = x mZB =(5x -5° mZC = (2x + 20° mZD=(3x -15)° mZE =(4x)º What are the angle measures of each vertex of the garden? Show your work. B A
Answer:
Step-by-step explanation:
A developmental psychologist studies moral awareness in male and female adolescents. Casual observation suggests that girls develop moral awareness earlier than boys, though most published research contains only male participants. A standard measure of moral awareness, on validated using only a male sample, has a mu = 72 and sigma = 18. The psychologist administers the measure to 58 13-year-old girls, whose mean scores was M = 76. Test the hypothesis that the moral awareness of girls is different from males. Conduct a complete hypothesis test using alpha =. 1
To test the hypothesis that the moral awareness of girls is different from males, we need to conduct a two-tailed hypothesis test with a significance level of alpha = .1.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.
Null hypothesis: The population mean of moral awareness scores for girls is equal to the population mean of moral awareness scores for boys (μg = μb).
Alternative hypothesis: The population mean of moral awareness scores for girls is different from the population mean of moral awareness scores for boys (μg ≠ μb).
We will use a one-sample t-test to test this hypothesis since we have a sample mean and standard deviation and want to compare it to a known population mean.
First, we need to calculate the t-statistic:
t = (M - μ) / (s / √(n))
where M = 76 (sample mean), μ = 72 (population mean for males), s = 18 (population standard deviation for males), and n = 58 (sample size).
t = (76 - 72) / (18 / √(58)) = 1.59
Next, we need to determine the critical t-value using a t-distribution table with degrees of freedom (df) = n - 1 = 57 and a two-tailed test with
alpha = 1. The critical t-value is ±1.984.
Since our calculated t-value (1.59) falls within the range of -1.984 to 1.984, we fail to reject the null hypothesis.
Therefore, we do not have sufficient evidence to conclude that the moral awareness of girls is different from boys at a significance level of
alpha = .1.
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Why did Keynes think deficit spending was necessary during periods of recession (such as the Great Depression)?
Answer:
Keynes argued that inadequate overall demand could lead to prolonged periods of high unemployment. But during a recession, strong forces often dampen demand as spending goes down
Step-by-step explanation:
5. Miguel has an after-school job. He works
between 15 and 25 hours each week and is paid
$12 per hour. What is an appropriate domain for
this scenario?
A. All real numbers such that 15
B. All real numbers such that 180 < x < 300
C. All real numbers
D. All real numbers such that x>0
Answer:
The domain is 15 ≤ x ≤ 25
Step-by-step explanation:
The given parameters are;
The number of hours Miguel works each week = Between 15 and 25 hours
The amount he is paid per hour = $12
Therefore, we have;
The domain is all real numbers, 'x', such that 15 ≤ x ≤ 25
The amount Miguel makes each week, 'y' is between; 12 × 15 ≤ A ≤ 12 × 25
Therefore the range is 180 ≤ y ≤ 300.
PLEASE HELP FOR A HUGE GRADE
two positive numbers have a sum of 24. what is the maximum product of one number times the square of the second number?
The required numbers is x=12 and y=24−x=24−12=12 i.e.(12,12).
What is differentiation ?
In math, isolation is one of the two important generalities piecemeal from integration. Isolation is a system of chancing the outgrowth of a function. Isolation is a process, in Maths, where we find the immediate rate of change in function grounded on one of its variables. The most common illustration is the rate change of relegation with respect to time, called haste. The contrary of chancing a outgrowth isanti-differentiation.
still, also the rate of change of x with respect to y is given by dy/ dx, If x is a variable and y is another variable. This is the general expression of outgrowth of a function and is represented as f'( x) = dy/ dx, where y = f( x) is any function.
Let the two number is x and y
According to given question.
Sum of two number =24
x+y=24
Then, y=24−x.......(1)
Again, product
P=maximum=x × y
P=x(24−x 2)
P=24x−24x^2 .......(2)
We know that,
For maximum value
dP/dx =0
Now differentiating equation (2) with respect to x and we get,
dP/dx =24−2x
⇒ 24−2x=0
⇒ 2x=24
⇒x=12
Again, differentiating equation (2) with respect to x and we get,
\(\frac{d^2p}{dx^2} = -2 < 0\)
Then,P is minimum at point x=12
Hence, the required numbers is x=12 and y=24−x=24−12=12 i.e.(12,12)
This is the solution.
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. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m. (2 points)
The answer to the given question is 220 ft depth at 2:16 pm. Here we have a depth of submersible at 2:16 pm.
What is Submersible?A watercraft made to function underwater is submersible. The term "submersible" is frequently used to distinguish between submersibles and other underwater vessels known as submarines. A submersible is typically supported by a nearby surface vessel, platform, shore team, or occasionally a larger submarine, whereas a submarine is a fully self-sufficient craft capable of independent cruising with its own power supply and air renewal system.
At 2:16 p.m.= -180ft - 40ft = -220ft
So, the answer is 220 ft depth.
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