The equation with value V indicating the decrease in value of iPhone 13 with years t is V = \( {1000 (1 - 0.02)}^{t} \).
The equation to be used for the calculation of decreased value is -
A = \( {P (1 - r)}^{t} \). In this formula, A is amount, P is principal, r is rate and t represents time. Based on the information in question, A will be replaced with V. So, the required formula will be -
V = \( {P (1 - r)}^{t} \)
Now keeping the values in formula for numerical equation -
V = \( {1000 (1 - 0.02)}^{t} \)
Since two values are unknown here, the equation can not be solved further.
Therefore, the required equation is V = \( {1000 (1 - 0.02)}^{t} \).
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A hairdresser is making 6 hair bows. She needs 5 over 8 yards for each bow. If she has 8 and 1 over 2 yards of ribbon, how much will be left over after making the bows?
three and one over eight yards
four and three over four yards
six and three over four yards
sixteen and seven over ten yards
Answer:
4 and 3 over 4 yards
Step-by-step explanation:
customers arrive at a travel agency at a mean rate of 11 per hour. assuming that the number of arrivals per hour has a poisson distribution, give the probability that strictly more than 5 customers arrive in a given hour. translation: x has a poisson distribution with mean 11. what is p (x > 5)?
The probability that strictly more than 5 customers arrive in a given hour is approximately 0.8335 (or 83.35%).
Let's denote the random variable representing the number of customers arriving in an hour as X, which follows a Poisson distribution with a mean of 11.
To calculate P(X > 5), we need to sum the probabilities of X being greater than 5 for all possible values of X greater than 5.
P(X > 5) = 1 - P(X ≤ 5)
Using the Poisson distribution formula, we can calculate the cumulative probability of X being less than or equal to 5:
P(X ≤ 5) = Σ [e^(-λ) * (λ^k) / k!] for k = 0 to 5
Substituting the mean λ = 11 into the formula, we get:
P(X ≤ 5) = Σ [e^(-11) * (11^k) / k!] for k = 0 to 5
P(X ≤ 5) ≈ 0.1665
Finally, calculating P(X > 5) using the complement rule:
P(X > 5) = 1 - P(X ≤ 5)
P(X > 5) ≈ 1 - 0.1665
P(X > 5) ≈ 0.8335
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Which of the following are coplanar??
Answer:
Points T, R and Q are coplanar
Step-by-step explanation:
They are all lying on plane P
Is a system with impulse response g(t, t) = e-2|t|^-|t| for t≥T BIBO stable? How about g(t, t) = sint(e-(-)) cost?
The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.
For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.
For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.
In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
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Let X be the average of a sample of 16 independent normal random variables with mean 0 and variance 1. Determine c such that
P (|X| < c) = .5
Answer: Let X¯¯¯¯
be the average of a sample of 16
independent normal random variables with mean 0
and variance 1
. Determine c such that P(|X¯¯¯¯|<c)=.5
I am having a lot of trouble with this question. I know it is related to chi-square but I don't know how to even start.
Step-by-step explanation:
Calculate the mean value of the radius (r) at which you would find the electron if the H atom wave function is 100(r).
The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.
The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.
To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.
Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.
In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.
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Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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Kent bought a $500, 20-year u. S. Treasury bond that paid six percent annual yield when he was 22. How much would that bond be worth 20 years later when it matured?.
The bond would be worth amount of $1,000 when it matured after 20 years, since it pays a 6% annual yield, which means it will double in value over the 20-year period.
500 x (1 + 0.06) ^ 20 = 1000
500 x 3.51 = 1,755
1,755 - 500 = 1,255
1,255 / 2 = 627.5
627.5 + 500 = 1,127.5
1,127.5 x 2 = 2,255
2,255 - 1,755 = 500
500 x 2 = 1,000
The bond is worth $500 when Kent buys it at 22 years old, and will pay a 6% annual yield. This means that the value of the bond will double over the 20-year period. To calculate the value of the bond at maturity, we need to use the formula: 500 x (1 + 0.06) ^ 20 = 1000. This means that the bond will be worth $1,000 when it matures 20 years later. We can also arrive at this result by breaking down the calculation into smaller steps. First, we multiply the initial bond value by the interest rate (500 x 1.06) to get the value after one year. Then, we repeat this step for the remaining 19 years (500 x 3.51) to get the total value after 20 years (1,755). We then subtract the initial bond value (500) from this to get the total interest earned (1,255). We then divide this interest by two (627.5) and add it to the initial bond value (500) to get the value after 20 years (1,127.5). We then multiply this by two (2,255) and subtract the total interest earned (1,755) to get the final value (500). This is double the initial bond value, so the bond will be worth $1,000 when it matures.
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If 5x-3=3x+5, what is the value of 2X-8? 5
Answer:
5x-3=3x+5
5x-3x=5+3
2x=8
x=8/2
x=4
Therefore,
Value of 2x-8
Substitute the value of x
2(4)-8
8-8=0
If you are helped with my answer pls tag me brianliest
I really want it
Plss
THANK you.....
The length of a side of square is 9. Find the length
of a diagonal of the square to the nearest tenth.
Step-by-step explanation:
diagonal=\(\sqrt{9^{2}+9^{2} }\)
=12.7
The difference of x and y is 14. The value of x is 3 more than
twice the value of y. Write two equations and graph to find
the value of x.
O X = 25
O x = -17
OX= 4
O x = 11
The value of X = 25.
The difference of x and y is 14. The value of x is 3 more thantwice the value of y. Find the value of x and y.Solution:
The two equations are
(i) the first condition is difference of x and y is 14
x - y = 14 ---------equation 1
(ii) the second condition of the given data is value of x is 3 times more than two times of y value.
x - 2y = 3 --------equation 2
From equation 2, we have to separate two variables x and y,
x = 3 + 2y --------equation 3
We have to Substitute equation 3 in equation 1
3 + 2y - y = 14
3 + y = 14
y = 14 - 3
y = 11
Substitute y = 11 in equation 1........
x - 11 = 14
x = 14 + 11
x = 25
So, the value of x is 25 and y is 11.
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Answer:
x - y = 14x - 2y = 3x = 25Step-by-step explanation:
Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.
EquationsThe difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...
x - y = 14x - 2y = 3GraphThe attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.
The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.
The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.
Algebraic solutionSince we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:
2(x -y) -(x -2y) = 2(14) -(3)
x = 25 . . . . . . . . . simplify
two satellites are in earth's orbit and are 424 km apart. if an observer is 658 km away from satellite a and 471 km away from satellite b, what angle must the
observer turn his telescope to change his view from one satellite to another?
The observer must turn their telescope by an angle of approximately 29.3 degrees to change their view from satellite A to satellite B in Earth's orbit.
To determine the angle the observer must turn their telescope, we can use the concept of trigonometry. Let's consider a triangle formed by the observer, satellite A, and satellite B. The distance between the observer and satellite A forms one side of the triangle, and the distance between the observer and satellite B forms another side. The distance between the two satellites (424 km) represents the base of the triangle.
Using the Law of Cosines, we can calculate the angle between the observer, satellite A, and satellite B. The formula is as follows:
cos(Angle) = (SideA^2 + SideB^2 - SideC^2) / (2 * SideA * SideB)
In this case, SideA is 658 km (distance between the observer and satellite A), SideB is 471 km (distance between the observer and satellite B), and SideC is 424 km (distance between the two satellites). Plugging these values into the formula:
cos(Angle) = (658^2 + 471^2 - 424^2) / (2 * 658 * 471)
Angle = arccos((658^2 + 471^2 - 424^2) / (2 * 658 * 471))
Evaluating this expression, the angle comes out to be approximately 29.3 degrees. Therefore, the observer must turn their telescope by approximately 29.3 degrees to change their view from satellite A to satellite B in Earth's orbit.
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Your job is to randomly select integrated circuits, and then test them in sequence until you find the first failure. let be the total number of tests, and assume that all tests are independent with probability of failure. Identify the type of random variable and its parameter(s).
The type of random variable in this scenario is a geometric random variable. Its parameter is the probability of failure for each integrated circuit being tested.
The type of random variable you're dealing with in this scenario, where you are testing integrated circuits in sequence until you find the first failure, is called a Geometric Random Variable. This type of random variable represents the number of trials needed for the first success (or failure, in this case) in a series of independent Bernoulli trials with the same probability of failure. The parameter for a Geometric Random Variable is the probability of failure, denoted as p. In summary, the type of random variable in this problem is a Geometric Random Variable, and its parameter is the probability of failure (p).
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A bag contains eight balls labeled 1 through 8. One ball will be randomly picked. What is the probability of picking an even number?
Write your answer as a fraction in simplest form?
When ringing up a customer, a cashier needs 10 seconds to process the payment as well as 5.7 seconds to scan each item being purchased. Write an equation that shows the relationship between the items being purchased, p, and the time, t.
Answer: 5.7p + 10
Step-by-step explanation:
From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.
The equation that shows the relationship between the items being purchased, p, and the time, t will then be:
= 5.7p + 10
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 1331+ 911 121 9 81 Step 1 121 1331 Σ ar n-1, To see 9 - 11 + +-.. as a geometric series, we must express it as - 81 n- 1 Σ arn-1 , the ratio of the the two terms,-arn ir" ar-1 For any two successive terms in the geometric series simplifies into an algebraic expression given by
The sum of the given geometric series is 4165.5
The given series 1331+ 911+ 121+ 9+ 81 can be expressed as Σ arn-1, where a=1331 and r=911/1331=0.682. To see the remaining terms as a geometric series, we can express them as -81(0.75)n-1. The ratio of any two successive terms in this series is -0.75, which is the value of r in the algebraic expression. Therefore, the entire series can be expressed as Σ arn-1, where a=1331 and r=0.682 for the first term and a=-81 and r=-0.75 for the remaining terms.
To determine if this series is convergent or divergent, we need to check if the absolute value of r is less than 1. |r|=0.75<1, so the series is convergent.
To find its sum, we can use the formula S=a/(1-r), where S is the sum of the series. Plugging in the values for a and r, we get:
S = 1331/(1-0.682) + (-81/(1-(-0.75)))
S = 4165.5
The sum of the given geometric series is 4165.5.
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Which statement BEST describes the movement of energy and matter in this system?
A
Matter and energy flow through the system.
B
Matter and energy cycle through the system.
С
Matter cycles and energy flows through the system.
D
Matter flows and energy cycles through the system.
Answer:
D
Step-by-step explanation:
each candy bar in a bag weights 50 g and the entire bag weights one kilogram how many candy bars are in the bag
sara bought a $24 meal in a town with a 9% sales tax. she tips 20% on the bill, and then adds the sales tax. what is the total cost that sara paid
The total cost price, including tax and tip, will be $30.96.
What is percentage ?An expression expressed as a percentage of 100 is referred to as a percentage. The percent symbol, "%," is widely used to denote it even if the abbreviations "pct," "pct," and rarely "pc" are also employed. A% has no dimensions and no corresponding unit of measurement.
Given that: Sara bought a $24 meal in a town with a 9% sales tax. she tips 20% on the bill, and then adds the sales tax
To figure out the tip, you need to find 20% of $24
0.2×24=4.8
You should leave $4.8 for the tip if you want to leave him exactly 20%.
To figure the tax, you need to find 9% of $24
0.09×24=2.16
Next, add them up:
24+4.8+2.16=30.96
The total cost price, including tax and tip, will be $30.96.
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please hurry!
Part A: Determine the average rate of change over the interval [B, C] .
O 6
O 24
O 96
O 384
Part B: Determine the average rate of change over the interval [D, E] .
O 6
O 24
O 96
O 384
Part C: The average rate of change is
O larger over the interval [D,E] than [B,C].
O smaller over the interval [D,E] than [B,C].
O the same over the interval [D,E] than [B,C].
Answer:
Part A: 24
Part b: 384
Part c: larger over the interval
Step-by-step explanation:
Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria: 95% confidence, within 5 percentage points, and a previous estimate of 0.25 288.12 0/2 pts Question 16 Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria: 95% confidence, within 5 percentage points, and a previous estimate is not known 384
the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.
The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:
95% confidence, within 5 percentage points, and a previous estimate of 0.25.
The formula to calculate the sample size required for the study to determine the proportion is given by:
`n = Z²pq / E²`
Where n = sample size
Z = z-value (1.96 at 95% confidence interval)
E = margin of error
p = estimated proportion of the population
q = 1 - pp
q = estimated proportion of population without the condition (1 - 0.25 = 0.75)
Given,
Z = 1.96E = 0.05p = 0.25q = 0.75
Substituting these values in the above formula, we get;
`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`
Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.
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What is the circumference of a circle whose radius is 16 feet leave answer in terms of pi . Please show ur work because I have too!
The circumference of a circle is 32π feet, which is the correct answer would be option (B).
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have to determine the circumference of a circle whose radius is 16 feet
As per the question, we have
The radius of the circle r = 16 feet
Circumference of a circle = 2πr
Substitute the value of r in the above formula, and we get
Circumference of a circle = 2π(16)
Circumference of a circle = 32π
Hence, the correct answer would be an option (B).
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find the result graphically. click and drag the arrows to represent each term. type in the result ( mejor si habl español )
8+(-2)
Answer:
6
Step-by-step explanation:
8-2=6
The result after solving graphically is → +6.
We have the following expression -
8 + (-2)
We have to find the result graphically.
What is Number line ?In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
According to the question, we have -
8 + (- 2)
Now, 8 + (-2) can be written as -
8 - 2
Refer to the image attached -
A distance of 8 units is marked. From it 2 is subtracted. Remaining result will be = + 6.
Hence, the result after solving graphically is → +6.
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Joe sold 15 t-shorts for a total of 82.50. What is the price of one t-shirt. Show work
Answer:
£5.50
Step-by-step explanation:
82.50 / 15 = 5.5
Answer:
5.5
Step-by-step explanation:
you divide the 15 and 82.50
Which of the following statements is not true of cash advances? a. Credit card companies offer easy access to cash through ATM’s or checks that can be written to yourself and cashed. b. Credit card companies apply payments to cash advance balances first because the interest is higher. c. The APR of a cash advance is higher than that of regular credit card purchases. d. Credit card companies place limits on the amount of cash you can receive through a cash advance.
Answer: C
Step-by-step explanation:
the APR is not higher
The false statement about credit card advances is that: The APR of a cash advance is higher than that of regular credit card purchases.
What is a credit card advance?A credit card cash advance is a withdrawal of cash from your credit card account. Essentially, you're borrowing against your credit card to put cash in your pocket. However, there are costs to taking a credit card cash advance and, in some cases, limits on the amount you can withdraw.
here, we have,
This is a term that is used to describe the withdrawal of money from your own credit card.
A person would do it as a way of borrowing money against their credit card so that they would have money at hand.
Hence, The false statement about credit card advances is that: The APR of a cash advance is higher than that of regular credit card purchases.
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What is the equation of the line through 1 2 which makes equal intercepts on the axis?
The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
\(\frac{x}{a} +\frac{y}{b} =1\)
If they make an equal intercept
\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)
Put the value of the point in the axis, and we get.
\(1+2=a\\a=3\)
Put the value in the equation, and we get.
\(x+y=3\)
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what is the square root of 93
Step-by-step explanation:
\(\sqrt{93}\approx 9.64365\)
if you want to round a number within an arithmetic expression, which function should you use?
If you want to round a number within an arithmetic expression, you should use the ROUND function.
The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.
The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.
Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.
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A decision maker has five potential independent variables with which to build a regression model to explain the variation in the dependent variable. At step 1, variable x3 enters the regression model. Which of the following indicates which of the four remaining independent variables will be next to enter the model?A) The variable with the highest coefficient of partial determinationB) The variable that has the next highest correlation with the dependent variableC) The variable that will provide the next largest value for the slope coefficientD) Can't be determined without seeing the correlation matrix.
When building a regression model provided the given information from the four remaining independent variables the variable to be entered next (second) would be variable with the highest coefficient of partial determination. (Option A)
A regression model refers to a function that illustrates the relationship between one or more independent variables and a response, target, dependent variable. The primary uses of regression analysis are forecasting, time series modeling and identifying the cause-and-effect relationship between variables. When building a regression model with five potential independent variables to explain the variation in the dependent variable, at step 1, variable x3 enters the regression model. Of the four remaining independent variables, the variable entered next into the model would be the variable with the highest coefficient of partial determination. A coefficient of partial determination refers to the measurement of marginal (extra) contribution of X variable or percentage of variation in the response variable that can be explained by the explanatory variables and can be used to measure how strongly two variables are related to one another.
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A 60 foot monument casts a 25-foot shadow How long is the shadow of a 4.5 tall person?
A) 1.875 feet (it’s this one)
B) 5.555 feet
C) 2456 feet
D) 13334 feet
Answer:
A
Step-by-step explanation:
Using similarities we have
(Actual size)/(Shadow length)=60/25=4.5/x
x=4.5*25/60=1.875
Answer:
A) 1.875 feet
Step-by-step explanation: