Answer:
Jack has 10 left
Step-by-step explanation:
help plsss asappp it’s on khan
Answer:
I guess the answer is
\( \frac{19}{20} \)
The circle below is centered at the point (8, 4) and has a radius of length 4.
What is its equation?
D. (x+8)2 + (y-4)² = 16
10
OA. (x-4)2+(y-8)² =
42
B. (x-4)2 + (y+8)² = 4
C. (x-8)2 + (y-4)2 =
6
The equation of this circle include the following: C. (x - 8)² + (y - 4)² = 16.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Substituting the given points into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 8)² + (y - 4)² = 4²
(x - 8)² + (y - 4)² = 16.
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What is the value of this expression when g=-3.5?
8-12g-51
Step-by-step explanation:
If g=3.5 what about 12g
12g×3.5=42
8_42_51=_85
i will make you brainliest
Answer:
Answers given in the photo
1. The total cost of 3 cups of hot chocolate is $8.25. Assume the total cost
of hot chocolate y varies directly with the number of hot chocolate
ordered x. What is the cost of one hot chocolate? *
O A. $0.36
O B. $8.25
O C. $2.75
O D. $3.00
Answer:
C) $2.75
Step-by-step explanation:
8.25/3 = 2.75
Answer:
C. $2.75
Step-by-step explanation:
3 cups of chocolate and each is $8.25. To solve this, the equation would be:
$8.25/3
This is equal to $2.75, so that is the answer!
( Also, 2.75 * 3 = 8.25, so it's correct! )
Which is the best estimate of the difference between 6 7 8 678 and 2 1 8 218
Answer: C.5
Step-by-step explanation:
what is an acre in feet
An acre is a unit of measurement used to quantify land area, and it is commonly used in the United States to measure the size of plots of land, farms, and estates. One acre is equal to 43,560 square feet.
To visualize an acre, imagine a rectangle that is approximately 208 feet by 209 feet, or a square that is approximately 209 feet on each side.
To convert acres to square feet, you can use the following formula:
1 acre = 43,560 square feet
Therefore, to convert acres to feet, you can simply multiply the acre value by 43,560. For example, if you want to convert 5 acres to square feet, you can use the following formula:
5 acres x 43,560 square feet per acre = 217,800 square feet
So 5 acres is equal to 217,800 square feet.
It's worth noting that the acre is a unit of measurement used primarily in the United States, and other countries may use different units of measurement to quantify land area. For example, in the metric system, the hectare is commonly used to measure land area, with 1 hectare equal to 10,000 square meters (about 2.47 acres).
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a strip of paper is available for each whole number length from 1 inch to 15 inches. what is the probability that if a strip is randomly selected, it can be used as the third side of a triangle with two sides of 5 and 7 inches? express your answer as a common fraction.
The third side of triangle is 7/15.
The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.
There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.
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The third side of triangle is 7/15.
The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.
There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.
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Which is the best estimate of?
square root 35
The final exam test scores were: 62, 66, 71, 75, 75, 78, 81, 83, 84, 85, 85, 87, 89, 89, 91, 92, 93, 94, 95, 99. Find the percentile rank for a score of 85 on this test.
Using it's concept, the percentile rank for a score of 85 on this test is the 50th percentile.
What is the percentile of a measure?When a measure is in the xth percentile of a data-set, it is greater or equal than x% of the measures and lesser than (100 - x)%.
In this problem, there are 20 scores, and 85 corresponds to the 10th highest score, hence the percentile is given by:
p = 10/20 = 0.5 x 100% = 50th percentile.
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when multiplying matrices, multiply the elements in each of the first matrix times the corresponding elements in each. is it true?
False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.
A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.
Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.
The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.
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Determine the following probabilities a. For n-5 and π= 0.16, what is P(X:0)? b. For n 9 and x-0.50, what is P(X 8)? c. For n 9 and -0.40, what is P(X-7)? d. For n-6 and x-0.81, what is P(x-5)? a·When n 5 and x=0.16,PR=0)= Round to four decimal places as needed.) b. When n-9 and x -0.50, P(X 8) Round to four decimal places as needed.) c. When n-3 and π: 0 40, P(x-7)-[) Round to four decimal places as needed.) d. When n -6 and 0.81, P( 5) Round to four decimal places as needed)
P(X = 0) = 0.335 Probability = 0.335.The given formula for probability distribution is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xwhere, P = Probability X = Random variable, n = Total number of trialsπ = Probability of success. Let us consider the given probabilities:(a) For n - 5 and π = 0.16, what is P(X:0)?When n = 5 and x = 0, then n - x = 5.
Therefore,
P(X = 0) = (5! / 0! (5 - 0)!) * (0.16)0 * (1 - 0.16)5 - 0= (1 / 1) * 1 * 0.3277= 0.3277Round off the answer to four decimal places as needed.P(X = 0) = 0.3277.(b) For n 9 and x-0.50, what is P(X 8)?When n = 9 and x = 8, then n - x = 1. Therefore,P(X = 8) = (9! / 8! (9 - 8)!) * (0.50)8 * (1 - 0.50)9 - 8= (9 / 1) * 0.00390625 * 0.5= 0.0176.
Round off the answer to four decimal places as needed.P(X = 8) = 0.0176(c) For n 9 and -0.40, what is P(X-7)?When n = 9 and x = 7, then n - x = 2. Therefore,P(X = 7) = (9! / 7! (9 - 7)!) * (0.40)7 * (1 - 0.40)9 - 7= (36 / 1) * 0.0809856 * 0.027= 0.0807.
Round off the answer to four decimal places as needed.P(X = 7) = 0.0807(d) For n-6 and x-0.81, what is P(x-5)?When n = 6 and x = 5, then n - x = 1. Therefore,P(X = 5) = (6! / 5! (6 - 5)!) * (0.81)5 * (1 - 0.81)6 - 5= (6 / 1) * 0.3252718081 * 0.19= 0.3727Round off the answer to four decimal places as needed.P(X = 5) = 0.3727.
To determine the given probabilities, the probability distribution formula has been used. The formula used is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xWhere,P is the probability,X is the random variable,n is the total number of trials, andπ is the probability of success. The first probability is to calculate the probability for n - 5 and π = 0.16, what is P(X:0)?The value of x is zero, and n - x is 5. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The second probability is to calculate the probability for n 9 and x-0.50, what is P(X 8)?The value of x is 8, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The third probability is to calculate the probability for n 9 and -0.40, what is P(X-7)?The value of x is 7, and n - x is 2. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The fourth probability is to calculate the probability for n -6 and x-0.81, what is P(x-5)?The value of x is 5, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed.
Therefore, the probabilities for different values of n, x, and π have been calculated by using the probability distribution formula.
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What is the standard deviation and its meaning given this population of customer ages? 45, 76, 30, 22, 51, 40, 63, 66, 41
The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
\(\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}\)
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
N is the number of observations in the data set.
It is given that:
The data set:
45, 76, 30, 22, 51, 40, 63, 66, 41
From the formula:
∑(x(i) - X)² = 2463.55
N = 9
SD = √(2463.55/9)
SD = 16.54
Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
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Show how to derive the relativist mass formula: m=m0√1−v2c2 .
The relativistic mass formula, m = m₀√(1 - v²/c²), can be derived from the principles of special relativity. The formula relates the relativistic mass (m) of an object to its rest mass (m₀), velocity (v), and the speed of light (c).
What is relativistic mass?
Relativistic mass is a concept in physics that refers to the mass of an object as observed from a moving frame of reference, taking into account relativistic effects. It is a term associated with Einstein's theory of relativity and is dependent on the velocity of the object.
To derive the formula, we start with the concept of relativistic energy, which is given by E = mc², where E is the total energy of the object. In special relativity, energy and mass are interconnected.
Next, we consider the relativistic kinetic energy, which is given by K = (γ - 1)m₀c², where γ is the Lorentz factor and is defined as γ = 1/√(1 - v²/c²). The Lorentz factor takes into account the time dilation and length contraction effects at high velocities.
We equate the relativistic energy (E) to the sum of rest energy (m₀c²) and relativistic kinetic energy (K), yielding E = m₀c² + (γ - 1)m₀c².
Simplifying the equation, we have E = γm₀c².
Since E = mc², we can equate the two expressions and obtain mc² = γm₀c².
Dividing both sides by c², we get m = γm₀.
Substituting the value of γ, we have m = m₀/√(1 - v²/c²).
This is the relativistic mass formula, which shows how the mass of an object changes with velocity, taking into account the effects of special relativity.
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construct a grammar over [a, b, c}whose language is [anb2ncm \n, m >0).
S is the start symbol, and A, B, and C are non-terminal symbols. These rules generate the desired language by allowing you to create strings with n a's, 2n b's, and m c's.
To construct a grammar for the language [anb2ncm \n, m >0] over the set {a, b, c}, we can follow these steps:
1. Start with the start symbol S.
2. For every a in the language, add an A to the grammar.
3. For every b in the language, add two Bs to the grammar.
4. For every c in the language, add a C to the grammar.
5. Add a production rule for S that generates an A and a B pair, followed by a C. This ensures that the language has at least one a, two b's, and one c.
6. Add a production rule for A that generates another A, followed by an a. This allows for the generation of any number of a's in the language.
7. Add a production rule for B that generates two more B's, followed by a b. This allows for the generation of any even number of b's in the language.
8. Add a production rule for C that generates another C, followed by a c. This allows for the generation of any number of c's in the language.
The resulting grammar would be:
S -> ABBC
A -> aA | a
B -> BBb | bb
C -> cC | c
This grammar generates strings such as "abbc", "aabbcc", "aaaabbbbbbcccccc", and so on, which are all in the language [anb2ncm \n, m >0].
To construct a grammar for the language L = {anb2ncm | n, m > 0} over the alphabet {a, b, c}, you can use a context-free grammar with the following production rules:
1. S → ABC
2. A → aA | a
3. B → bbBc | bbc
4. C → cC | c
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In each of the following situations, a significance test for a population mean µ is called for. State the null hypothesis H0 and the alternative hypothesis Ha in each case. Then, assume p=0.02. State the decision that should be made based upon this p-value. Be sure to justify your decision.
a) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus.
b) The examinations in a large accounting class are scaled after grading so that the mean score is 50. A self-confident teaching assistant thinks that his students have a higher mean score than the class as a whole. His students this semester can be considered a sample from the population of all students he might teach, so he compares their mean score with 50.
c) A university awards credit in French language courses to students who pass a placement test. The language department wants to know if students who get credit in this way differ in their understanding of spoken French from students who actually take the French courses. Some faculty think the students who test out of the courses are better, but others argue that they are weaker in oral comprehension. Experience has shown that the mean score of students in the courses on a standard listening test is 24. The language department gives the same listening test to a sample of 40 students who passed the credit examination to see if their performance is different
(expert answer asks for more information, but this is all that was given. There was no more significance testing information given)
The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are a) H0: µ = 18 Ha: µ < 18 b) H0: µ = 50 Ha: µ > 50 c) H0: µ = 24 Ha: µ ≠ 24. Based on the given p-value of 0.02, the decision for each situation are a) Since p < 0.05, we reject the null hypothesis b) Since p < 0.05, we reject the null hypothesis c) Since p < 0.05, we reject the null hypothesis.
The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are as follows:
a) H0: µ = 18 (the mean time for mice to complete the maze is equal to 18 seconds)
Ha: µ < 18 (the mean time for mice to complete the maze is less than 18 seconds)
b) H0: µ = 50 (the mean score for the teaching assistant's students is equal to 50)
Ha: µ > 50 (the mean score for the teaching assistant's students is greater than 50)
c) H0: µ = 24 (the mean score for students who passed the credit examination is equal to 24)
Ha: µ ≠ 24 (the mean score for students who passed the credit examination is not equal to 24)
Based on the given p-value of 0.02, the decision for each situation is as follows:
a) Since p < 0.05, we reject the null hypothesis and conclude that the loud noise does cause the mice to complete the maze faster.
b) Since p < 0.05, we reject the null hypothesis and conclude that the teaching assistant's students do have a higher mean score than the class as a whole.
c) Since p < 0.05, we reject the null hypothesis and conclude that the students who passed the credit examination do differ in their understanding of spoken French from students who actually take the French courses.
These decisions are justified because a p-value less than 0.05 indicates that there is a statistically significant difference between the sample mean and the population mean, and therefore we can reject the null hypothesis and accept the alternative hypothesis.
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9- Indicate and carry out the corresponding enhancements: a) base - 8 and exponent 3; b)-2 raised to the fourth power; c)+30 squared; d) base 0 and exponent 100, e)+9 cubed;
a) Exponential expressions have the next form:
\(b^x\)where b is the base and x is the exponent. Substituting with b = -8 and x = 3, we get:
\((-8)^3=-512\)b) In this case, the base is -2 and the exponent is 4:
\((-2)^4=16\)c) In this case, the base is 30 and the exponent is 2:
\(30^2=900\)d) In this case, the base is 0 and the exponent is 100:
\(0^{100}=0\)Note that when the base is zero, the value of the expression is also zero.
e) In this case, the base is 9 and the exponent is 3:
\(9^3=729\)Evergreen Landscaping bought 7 tons of topsoil, 4 tons of mulch, and 3 tons of pea gravel for $3655.The next week the firm bought 2 tons of topsoil, 3 tons of mulch, and 8 tons of pea gravel for $3312. Pea gravel costs $29 less per ton than topsoil. Find the cost per ton for each item.
Price for 1 topsoil=
Price for 1 mulch=
Price for 1 pea gravel=
To find the cost per ton for each item (topsoil, mulch, and pea gravel), we'll set up a system of equations based on the given information. By solving the system, we can determine the cost per ton for each item.
Let's assume the cost per ton for topsoil is x dollars. Since pea gravel costs $29 less per ton, the cost per ton for pea gravel would be (x - $29) dollars.
Based on the purchases made by Evergreen Landscaping, we can set up the following system of equations:
7x + 4y + 3(x - $29) = $3655
2x + 3y + 8(x - $29) = $3312
In the first equation, we consider the purchase of 7 tons of topsoil, 4 tons of mulch, and 3 tons of pea gravel, with their respective costs per ton. The equation represents the total cost for these items, which should equal $3655.
Similarly, in the second equation, we consider the purchase of 2 tons of topsoil, 3 tons of mulch, and 8 tons of pea gravel, with their respective costs per ton. The equation represents the total cost for these items, which should equal $3312.
By solving this system of equations, we can find the values of x and y, representing the cost per ton for topsoil and mulch, respectively. Once we have those values, we can calculate the cost per ton for pea gravel by subtracting $29 from the cost per ton of topsoil.
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On a map 1/4 inch represents 12 miles. The distance between two cities on that map is 3 1/2 inches. What is the actual distance, in miles, between the two cities?
Answer:
I believe the answer is 168 miles
their are 14/4 is 3 and a half. so you multiply 14 by 12
Maria took out an unsubsidized Stafford Loan of $6,925 to pay for college. She plans to graduate in 4 years. The loan had a duration of ten years and an interest rate of 5.0%, compounded monthly. By the time Maria graduates, how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization? Round all dollar values to the nearest cent.
A) $1,529.70
B) $1,384.00
C) $384.00
D) $144.90
Please walk me through this.
Answer:
D). $144.90
Step-by-step explanation:
(c) find . (d) interpretation would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? explain.
c) The probability that a sample size of 36 has a sample mean of less than 19 is of: 0.0228 = 2.28%.
d) It would be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19, as the z-score has an absolute value of 2.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.An unusual measure in the normal distribution has a z-score with absolute value of at least 2.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters of this problem are given as follows:
\(\mu = 20, \sigma = 3, n = 36, s = \frac{3}{\sqrt{36}} = 0.5\)
The probability that a sample size of 36 has a sample mean of less than 19 is the p-value of Z when X = 19, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
Z = (19 - 20)/0.5
Z = -2
Z = -2 has a p-value of 0.0228.
Missing InformationSuppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n=36 are drawn.
C. Find P(x<19) (answer should be: 0.0228)
D. Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? Explain. (answer should be: Yes, only about 2.3% of all such samples have means less than 19)
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in preparation, you identify all possible outcomes and the probability of each outcome. which approach to negotiation are you using? game theory individual differences cognitive approach situational characteristics
By identifying all possible outcomes and the probability of each outcome the negotiation used here is Game theory.
The study of mathematical models of strategic interactions between rational beings is known as game theory and it has uses in computer science, logic, systems science, and all branches of social science.
The most well-known application of game theory is The Prisoner's Dilemma for instance take two offenders who were detained following an arrest as an example. The prosecution lacks concrete proof to prove their guilt. Officials, however, take the inmates out of their isolation cells and question each one separately in order to extract a confession.
The area of mathematics known as "game theory" is concerned with the analysis of such games. Classical game theory and combinatorial game theory are the two primary subfields of game theory. Traditional game theory examines games where participants can move, wager, or strategize all at once.
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For a certain brand of canned corn, the company claims that the mean weight of the contents of the cans is 15.25 ounces. A random sample of 36 cans were selected. The sample was found to have mean 15.18 ounces and standard deviation 0.12 ounce. A hypothesis test will be conducted to investigate whether there is evidence to support the belief that the mean is less than 15.25 ounces.
Required:
What is the correct test statistic for the hypothesis test?
Answer:
s+0
Step-by-step explanation:
h.o mean of f= S =0
H.a mean of F=S >0
sampling techniques are particularly important in which type of study
Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.
Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.
By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.
This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.
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x−12=−4y 2x+8y=−14 Which of the following represents a solution (x,y) to the system of equations above?
What's the answer to this? brainliest if correct!
Answer:
Slope of dotted lines: 3/1 or 3
Slope of reflected line: 1/3
Step-by-step explanation:
Rise and run
Please help!! I need answering
Answer:
B
Step-by-step explanation:
26x82=2132
2132/2=1066
five years ago, john was twice peters age. peter is now x years old and john is now y years old.
a) write an equation to illustrate the relation between John's age and Peter's age five years age.
b) this year, the total of their ages is 28 years old. use this information to determine John's age in three years.
c) use substitution to justify that your answers to part (a) are correct.
please help
Answer:
Step-by-step explanation:
a)
Peter now = x years old
John now = y years old
Five years ago
y-5 = 2(x-5)
y-5 = 2x-10
y = 2x-5
b)
x+y=28
y=28-x
Therefore
2x-5 = 28-x
3x = 33
x = 11
y = 28 - (11)
y = 17
Therefore
In three years time John will be:
17 + 3 = 20
c)
y-5 = 2x-10
Lefthand side:
(17)-5 = 12
Righthand side:
2(11)-10=22-10=12
Therefore
Lefthand side =Righthand side
YAY!
A new car is purchased for $16,500. The value of the car depreciates at 5.75% per year. What will the car be worth, to the nearest penny, after 5 years?
Answer:
Step-by-step explanation:
I think it would be 500
Answer:
The value of the car after 5 years is $12271.05
The present value of the car, PV = $16500
The rate of depreciation, r = 5.75%
r = 5.75/100
r = 0.0575
Step-by-step explanation:
When using the normal approximation to the binomial, what is the mean for a binomial probability distribution with p =.32 and n = 150?Nxp
The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48
The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.
In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values
μ = np = 150 x 0.32 = 48
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