Explanation:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
Considering Henry's loan,
P = 5000
R = 4.2
T = 4 years
I = (5000 × 4.2 × 4)/100 = $840
Considering Ingrid's loan,
P = 5000
R = 3.9
T = 6 years
I = (5000 × 3.9 × 6)/100 = $1170
The difference between the amounts of interest Henry and Ingrid paid for their loans is
1170 - 840 = $330
A bag contains chips of which 27. 5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement. What are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 ?.
Answer:
No. of blue chips contain in a bag = P = 27.5 % = 0.27
No. of chips random selected at a time with replacement = n = 5
We know that the mean and standard deviation of the sampling distribution of the sample proportion (p) is given by :-
\mu\-_pμ\-p = p
= 0.275
\sigma_pσp = \sqrt{\frac{p (1-p)}{n} }np(1−p)
Where p= Population proportion and n = sample size.
Let p be the proportion of blue chips.
As per given , we have
p= 0.275
n= 5
= \sqrt{\frac{0.275 ( 1 - 0.275)}{5} }50.275(1−0.275)
= 0.1997
The mean and standard deviation of the sampling distribution of the sample proportion will be 1.375 and 0.9984.
What is the mean and standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.
A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement.
Then the mean is given as,
Mean = 0.275 x 5
Mean = 1.375
Then the standard deviation is given as,
Standard deviation = √[5 x 0.275 x (1 - 0.275)]
Standard deviation = √0.99687
Standard deviation = 0.9984
The mean and standard deviation of the sampling distribution of the sample proportion will be 1.375 and 0.9984.
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I am thinking of two positive numbers in the ratio $5:3$. The difference between the two numbers is $90$. What is the sum of the two numbers?.
The sum of the two numbers is $ 360
Let the bigger number be x
Let the smaller number be y
From the question given above, we were told that two numbers exist in ratio $ 5 : $ 3
Thus,
x : y = 5 : 3
x/y = 5/3
Cross multiply
x = 5y/3 ............ (1)
Also, we were told from the question that difference between the two numbers is $ 90 i.e
x – y = 90 ........... (2)
Substitute the value of x in equation (1) into equation (2). We have:
x = 5y/3 ............ (1)
x – y = 90 ........... (2)
5y/3 – y = 90
Multiply through by 3
5y – 3y = 270
2y = 270
Divide both side by 2
y = 270 / 2
y = $ 135
Substitute the value of y into equation 1 to obtain the value of x.
x = 5y/3 ............ (1)
y = $ 135
x = (5 × 135)/3
x = 675 / 3
x = $ 225
Finally, we shall determine the sum of the two numbers.
x = $ 225y = $ 135Sum =?Sum = x + y
Sum = 225 + 135
Sum = $ 360
Thus, the sum of the two numbers is $ 360
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In order to form methane, one carbon atom shares electrons with four hydrogen atoms. Which of these best describes why methane would form in nature?.
Which is the percent composition of bromine in the compound nabr?.
Answer:
72%
Explanation:
A student is bouncing on a trampoline. At her highest point, her feet are 95 cm above the trampoline. When she lands, the trampoline sags 25 cm before propelling her back up.
The time she spent in contact with the trampoline is 0.1619 seconds.
The objective of this question is to determine for how long she is in contact with the trampoline?
The conservational force is exerted on the trampoline is equivalent to the sum of the potential energy at the highest point and the elastic energy at the lowest point.
∴
From the given information;
[tex]\mathbf{mg \dfrac{(95 +25)}{100} = \dfrac{1}{2}k ( \dfrac{25}{100})^2}[/tex]
[tex]\mathbf{m\times g\times 1.2 = k(0.03125)}[/tex]
[tex]\mathbf{m\times 9.8 \times 1.2 = k(0.03125)}[/tex]
[tex]\mathbf{\dfrac{m}{k} = \dfrac{(0.03125)}{9.8 \times 1.2}}[/tex]
[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex]
Using the Simple Harmonic Motion to determine the time at which she is in contact with the trampoline, we have;
[tex]\mathbf{t= \dfrac{T}{2}}[/tex]
[tex]\mathbf{t= \dfrac{2 \pi}{2} \sqrt{\dfrac{m}{k}}}[/tex]
where;
[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex][tex]\mathbf{t= \dfrac{2 \pi}{2} \times \sqrt{0.002657}}}[/tex]
[tex]\mathbf{t=0.1619\ sec}}[/tex]
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Ml data can be represented in '_____________' form(s).
Machine learning (ML) data can be represented in the following forms:
1. Matrix and Spatial.
2. Scalar and Vector.
Machine learning (ML) is also referred to as Artificial intelligence (AI) and it can be defined as a subfield in computer science which is focused on the use of computer algorithms to build a smart computer-controlled robot that has the ability (capacity) to automatically perform and handle tasks that are exclusively designed to be performed by humans or by using human intelligence.
Generally, the data that are generated and used in machine learning (ML) can be represented in the following forms:
MatrixSpatialScalarVectorRead more on machine learning (ML) here: https://brainly.com/question/25523571
A 1. 5-kilogram lab cart is accelerated uniformly from rest to a speed of 2. 0 meters per second in 0. 50 second. What is the magnitude of the force producing this acceleration?.
The magnitude of the force producing this acceleration is found to be 3.0 N.
What is Force?Force may be defined as the process of pushing and pulling an object with an appropriate mass in order to cause it to change its velocity with respect to time.
Force is a vector quantity as it has both magnitude and direction. Force is an external agent which is generally capable of changing a body's state of rest or motion with respect to time.
According to the question,
The total mass of an object = 1.5 kg.
The speed of an object = 2.0 m/sec.
So, the formula for calculating the magnitude of the force is as follows:
Force = Mass × Acceleration.= 1.5 kg × 2.0 m/sec = 3.0 N.
Therefore, the magnitude of the force producing this acceleration is found to be 3.0 N.
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What has the smallest effect on the rate of photosynthesis.
Answer:
Light intensity
Without enough light, a plant cannot photosynthesise very quickly - even if there is plenty of water and carbon dioxide and a suitable temperature. Increasing the light intensity increases the rate of photosynthesis, until some other factor - a limiting factor - becomes in short supply.
The smallest effect on the rate of photosynthesis is typically the availability of carbon dioxide (CO2).
Photosynthesis is the process by which plants convert sunlight, water, and carbon dioxide into glucose (a type of sugar) and oxygen.
Other factors that can influence the rate of photosynthesis to a greater extent than carbon dioxide include:
Light intensity: The rate of photosynthesis increases with higher light intensity, up to a certain point. Beyond that point, called the saturation point, increasing light intensity does not further increase the rate of photosynthesis.
Temperature: Photosynthesis is a temperature-dependent process. Within an optimal temperature range, the rate of photosynthesis increases with higher temperatures.
Water is essential for photosynthesis as it provides the medium for chemical reactions to occur. Inadequate water availability can lead to a decrease in photosynthesis.
Therefore, while all the factors mentioned (light intensity, temperature, water availability) can significantly impact the rate of photosynthesis, the availability of carbon dioxide generally has the smallest effect.
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A police officer is using a radar device to check motorists.
Answer: A Binomial distribution apply when we have n identical and independent events with two possible results, success or fail, and a probability p of success and 1-p of fail. Then, the probability that from the n events, x are success is:
Then, the number of motorist driving more than 5 miles per hour over the speed limit follow a Binomial Distributions, because we have 4 randomly selected motorists with two possible options: they are driving more than 5 miles per hour over the speed limit or they aren't, and the probability that they are driving more that 5 miles per hour over the speed is 0.4.
Finally, the probability P that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit is:
P = P(1) + P(2) + P(3) + P(4)
Where n is equal to 4 and p is equal to 0.4. Replacing the values for every x, we get:
Finally, P is equal to:
P = 0.3456 + 0.3456 + 0.1536 + 0.0256
P = 0.8704
Explanation:
Answer:
yes
Explanation:
Which of the following neutral atoms is the least reactive?.
Answer:
The least reactive elements are the noble gases. Within this group, helium is the least reactive element, forming no stable compounds. Metal can have multiple oxidation states and tend to have intermediate reactivity. Metals with low reactivity are called noble metals.
Disk scheduling algorithms in operating systems consider only seek distances because.
2+5(8-5) answer brainly.
Answer:
10
Explanation:
We have 2+5 which equals 7. there is a ( between 5 and 8, meaning that we need to multiply. 7 x 8 = 56 ( 8+8+8+8+8+8+8) Now we have 56-5 and that equals 51
Brainliest if im correct pls :)
Which situation would most likely benefit from peer mediation?.
Promotion of learning and respect for teachers are among the traditional values of the vietnamese.
The Vietnamese believe that One of the traditional values of the Vietnamese people is the promotion of learning and the respect for teachers.
As Vietnam’s educational culture was sparked by Chinese influence, the roots of education come from the country’s belief in Confucianism.
The Vietnamese believe that One of the traditional values of the Vietnamese people is the promotion of learning and the respect for teachers. In the Feudal and Colonial periods, teacher’s were seen to have more importance than parents; their position was “only lower than the king”.
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Which disease is caused by a buildup of plaque in blood vessels brainly.
define artwork short answer please
representation, expression, and form. Art as Representation or Mimesis. Plato first developed the idea of art as “mimesis,” which, in Greek, means copying or imitation.
Can sunlight change the distribution of traits in a population?.
Aditi ❤
Sunlight changes the distribution of traits in a population because the environment can factor into the distribution of traits.
What is the significance of Sunlight?Sunlight emits light and heat, or solar energy, which allows life to exist on Earth. Sunlight is required for plant growth. Plants are required by animals, including humans, for food and the oxygen they produce.
Earth would freeze if the sun did not provide heat. The sun is necessary for human health and well-being. The health benefits of sunlight include vitamin D production, bone health support, blood pressure reduction, disease prevention, and mental health promotion.
Therefore, because the environment influences the distribution of traits, sunlight alters the distribution of traits in a population.
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Which of the following is not a type of association.
Answer:
please be more specific with your question it has a picture
Which of the following would have the largest concentration of chloride ions in solution.
Answer:
From the given options, the solution of 0.10M AlCl₃ is the one that has the highest concentration of chloride ions.
To know which of the given solutions has the highest concentration of chloride ions, we must evaluate each of them.
1) 0.10 M MgCl₂
We can see that in 1 mol of MgCl₂, we have 1 mol of Mg²⁺ and 2 moles of Cl⁻ ions, so if the initial concentration of MgCl₂ is 0.10 M we have:
Hence, in this solution we have 0.20 M of chloride ions.
2) 0.10 M AlCl₃
In 1 mol of AlCl₃, we have 1 mol of Al³⁺ and 3 moles of Cl⁻, so the concentration of Cl⁻ is:
Then, the concentration of chloride ions in this solution is 0.30 M.
3) 0.05 M CaCl₂
We can notice that in 1 mol of CaCl₂ we have 1 mol of Ca²⁺ and 2 moles of Cl⁻. The concentration of Cl⁻ is:
So, the concentration of the Cl⁻ ions is 0.10 M.
4) 0.10 M LiCl
In this case, in 1 mol of LiCl we have 1 mol of Li⁺ and 1 mol of Cl⁻, so the concentration of the chloride ions is:
Hence, in this solution the concentration of the Cl⁻ ions is 0.10 M.
Therefore, the solution 0.10M AlCl₃ has the highest concentration of chloride ions.
Explanation:
i hope this helps!
Iconic memory is used when a loud thunderclap occurs during a storm.
Answer:
Memories of specific personal events are examples of semantic long-term memories. The process of storing, encoding, and retrieving information is known as memory.
Explanation:
[tex]\huge{\mathfrak{꧁HeavenMistress꧂}}[/tex]
Answer:
F
Explanation:
Anmol’s car, which weights 1,000 kg, is out of fuel. Anmol is trying to push the car to a fuel station, and he makes the car go 0. 05 m/s/s. Using newton’s second law, compute how much force anmol is applying to the car.
Answer:
please give me brainlyist
guys does 9+10= 21
explain please
Answer:
Yes.
Explanation:
Its 21 because a genius said it was.
Mrs.Hendrics said "where are the books"? Correct me please if it is incorrect.
Please
OR
Mrs.Hendrics said, "Where are the books?"Hope you could get an idea from here.
Doubt clarification - use comment section.
The image shows what happens when an antacid tablet is placed in water. A glass of water is shown with a tablet beside it. An arrow points to a second glass, where the tablet can be seen at the bottom of the glass with bubbles rising from the tablet. The process shown in the image can best be described as a rapid chemical reaction where gas is released. Slow chemical reaction where light is being given off. Slow chemical reaction where the liquid changes color. Rapid chemical reaction where heat is suddenly released.
There are different kinds of reaction. The process shown in the image can best be described Rapid chemical reaction where gas is released.
When an antacid tablets is placed in water, There is a chemical reaction. The water is known to reacts with the tablet and forms a bubbles full of carbon dioxide gas.When the water touches the tablet, suddenly, the reaction or fizzing, happens quickly.
Conclusively, when an antacid tablet is placed into a glass of water, it will produce a chemical change.
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Answer:
a
Explanation:
Masco is a consumer discretionary company that focuses on home improvement products.
It should be noted that Masco is a consumer discretionary company that focuses on home improvement products.
Companies that can be associated to the consumer discretionary sector are those companies that deals with nonessential goods and services.
Theses nonessential goods and services could be;
appliances cars entertainmentTherefore, is a consumer discretionary company that focuses on home improvement products.
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A ti 1 of 1 el auto anoche. (dañar, pretérito).
A ti se te dañó el auto anoche.
The verb "dañar" implies the production of damage to a certain or determinable thing or person.
Thus, the sentence refers to damage that happened to the car of the person to whom the sentence refers. In addition, this damage occurred in the past tense, that is, on the night before the sentence is pronounced.
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What will the value of the variable bags be at the end of the flowchart shown here?.
A variable in computer programming has to do with the storage location which is created by the programmer which contains a particular data set.
With this in mind, we can see that a flowchart has to do with the sequential steps which a person has to follow in order to solve a particular program.
Usually it contains conditional statements which are necessary for the problem solving to continue or to terminate.
Please note that your question is incomplete so I gave you a general overview to help understand the concept.
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what is SAT in full and what is its criterion as far as academics are concerned
Answer:
Explanation:
For 75 percent of college student-athletes, they will have no issue meeting the academic minimums laid out by the NCAA. That said, just because you are a good student doesn’t mean you can assume you will meet the academic eligibility rules. Every year, student-athletes with 3.5+ GPAs and honors courses are declared academically ineligible due to not meeting one of the following NCAA eligibility requirements
Fill in the blank with the spanish word that best completes the following sentence. La ____________ es la mayor riqueza. Salud palabra mejor cara.
La Salud es la mayor riqueza. Salud palabra mejor cara.
Who is Salud Palabra?The term "health" contrasts with "illness," and it is the focus of particular attention from the fields of medicine and health sciences.
The idea that health is a resource for daily life rather than the goal of life is a positive one that places emphasis on one's social and personal resources as well as physical abilities.
As a result, the ability to maintain homeostasis and recover from insults is referred to as health. The ability of a person to manage stress, acquire skills, and maintain relationships is referred to as their mental, intellectual, emotional, and social health.
Therefore, La Salud es la mayor riqueza. Salud palabra mejor cara.
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Answer:salad
Explanation:
How many atoms would be contained in 454 grams of iron (fe).
Answer:
4.90 x 10^24 atoms
Explanation:
Answer:
4.89 x 10^24 atoms
Explanation:
you can say 4.9 x 10^24 atoms too
the 24 is the exponent for the 10