Voting records show 61% od eligible voters actually did vote. given that 61% of eligible voters actually did vote, find the probability that among 50 randomly selected eligible voters 20 actually did vote
Answers
The probability that among 50 randomly selected eligible voters, exactly 20 actually voted can be calculated using the binomial probability formula.
The binomial probability formula can be used to calculate the probability of a specific number of successes (in this case, the number of eligible voters who actually voted) in a fixed number of trials (the randomly selected 50 eligible voters), given a known probability of success (the proportion of eligible voters who actually voted, which is 61%).
The binomial probability formula is:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
- P(X = k) is the probability of exactly k successes
- C(n, k) is the number of combinations of n items taken k at a time (n choose k)
- p is the probability of success
- n is the number of trials
In this case, we have n = 50, k = 20, and p = 0.61. Plugging these values into the formula, we can calculate the probability:
P(X = 20) = C(50, 20) * 0.61^20 * (1 - 0.61)^(50 - 20)
Using a calculator or software, we can evaluate this expression to find the probability that among 50 randomly selected eligible voters, exactly 20 actually voted.
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Related Questions
the weights of steers in a herd are distributed normally. the variance is 40,000 and the mean steer weight is 1100lbs . find the probability that the weight of a randomly selected steer is between 1000 and 1520lbs . round your answer to four decimal places.
Answers
The probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.
How the probability is between 1000 and 1520lbs is approximately 0.9192, or 91.92%?We are given the variance of the population as 40,000. The standard deviation is the square root of the variance, so we can calculate it as follows:Standard deviation = sqrt(variance) = sqrt(40,000) = 200
We want to find the probability that a randomly selected steer has a weight between 1000 and 1520lbs. We need to standardize these values using the formula:z = (x - μ) / σ
where z is the standardized value, x is the value of interest, μ is the mean, and σ is the standard deviation.
For x = 1000:
z1 = (1000 - 1100) / 200 = -0.5
For x = 1520:
z2 = (1520 - 1100) / 200 = 2.1
Now that we have the standardized values, we can use a standard normal distribution table or a calculator to find the area under the normal curve between z1 and z2.Using a calculator, we can use the normal cdf function with the z-scores to find the area between z1 and z2:
P(z1 < z < z2) = normal cdf(-0.5, 2.1) ≈ 0.9192
Rounding to four decimal places, we get:
P(1000 < x < 1520) ≈ 0.9192
Therefore, the probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.
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consider the following algorithm segment. assume that n is a positive integer such that n ≥ 5. for k := 4 to n for j := 1 to 6n x := a[k] − b[ j ] next j next k
(a) What is the actual number of elementary operations (additions, subtractions, multiplications, divisions, and comparisons) that are performed when the algorithm segment is executed? For
simplicity, count only comparisons that occur within if-then statements, and ignore those implied by for-next loops. Express your answer in terms of n. (Hint: See Example 11.3.3 and
exercises 11.3.11a and 11.3.14a in the "Read It" link.)
The number of operations is
(b) Apply the theorem on polynomial orders to the expression in part (a) to find that an order for the algorithm segment is n
Answers
The actual number of elementary operations performed is (n-3) * 6n, and the order for the algorithm segment is n².
The actual number of elementary operations performed when the algorithm segment is executed can be calculated as follows:
1. The outer loop iterates from k=4 to n, which means it runs (n-3) times.
2. The inner loop iterates from j=1 to 6n, which means it runs 6n times.
3. In each iteration of the inner loop, there is one subtraction operation (x := a[k] - b[j]).
Considering these factors, the total number of operations can be expressed as (n-3) * 6n.
By applying the theorem on polynomial orders, we can find that an order for the algorithm segment is n² since the highest degree term in the expression (n-3) * 6n is n².
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What is the volume of this composite solid?
4 m
6 m
10 m
6 m
O A. 372 cubic meters
B. 144 cubic meters
Ο Ο Ο Ο
O C. 600 cubic meters
D. 480 cubic meters
Answers
Answer:
its D. 480 cubic meters for Ape.x
Step-by-step explanation:
Please do 6-7 ASAP
Answers
6) y=7/3
7) y=4
Answer:
Step-by-step explanation:
(6). y = \(\frac{1}{3}\) x + 2 [ linear function ]
(7). y = 4 [ horizontal line, linear function ]
(8). x = 2 [ vertical line, not a function ]
pls help I will mark
Answers
Answer:
2x (2 or 2/1)
Step-by-step explanation:
The slope is 2/1, or 2x because the height between any two given intercepting points is two times higher than it is far.
Take for example the intercepting points at (6, 1) and (7, 3). Since slope is rise/run, the slope has risen 2 and 'run' 1. This makes the slope 2/1.
The Gaussian elimination rules are the same as the rules for the three basic row operations, in other words, you can algebraically act on a matrix's rows in the following three ways:
Interchanging two rows, for example, R2 ↔ R3
Multiplying a row by a constant, for example, R1 → kR1 where k is some nonzero number
Adding a row to another row, for example, R2 → R2 + 3R1
Answers
Yes, that is correct. The Gaussian elimination rules are essentially the same as the three basic row operations, which allow you to algebraically manipulate a matrix's rows.
You can interchange two rows, multiply a row by a constant, or add a row to another row. These rules are essential in solving systems of linear equations and finding the reduced row echelon form of a matrix. By applying these rules, you can transform a matrix into an equivalent matrix that is easier to work with and reveals important information about the system of equations or the matrix itself. The Gaussian elimination rules, also known as the three basic row operations, allow you to algebraically manipulate a matrix in order to solve systems of linear equations. These operations include:
1. Interchanging two rows (R2 ↔ R3)
2. Multiplying a row by a nonzero number (R1 → kR1, where k is a constant)
3. Adding a row to another row (R2 → R2 + 3R1)
These rules help simplify the matrix and ultimately obtain the unique solution for the system of equations.
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mathstatistics and probabilitystatistics and probability questions and answersbetween january 9-12, 2013, surveyusa interviewed a random sample of 500 nc residents asking them whether they think widespread gun ownership protects law abiding citizens from crime, or makes society more dangerous. 58% of all respondents said it protects citizens. 67% of white respondents, 28% of black respondents, and 64% of hispanic respondents shared
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Question: Between January 9-12, 2013, SurveyUSA Interviewed A Random Sample Of 500 NC Residents Asking Them Whether They Think Widespread Gun Ownership Protects Law Abiding Citizens From Crime, Or Makes Society More Dangerous. 58% Of All Respondents Said It Protects Citizens. 67% Of White Respondents, 28% Of Black Respondents, And 64% Of Hispanic Respondents Shared
Between January 9-12, 2013, SurveyUSA interviewed a random sample of 500 NC residents asking them whether they think widespread gun ownership protects law abiding citizens from crime, or makes society more dangerous. 58% of all respondents said it protects citizens. 67% of White respondents, 28% of Black respondents, and 64% of Hispanic respondents shared this view. Opinion on gun ownership and race-ethnicity are most likely
A. complementary
B. mutually exclusive
C. dependent
D. independent
Roughly 20% of undergraduates at a university are vegetarian or vegan. What is the probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan?
A. 1 - 0.8 * 3
B. 1 - 0.2 * 3
C. 1 - 0.2^3
D. 1 - 0.8^3
Answers
The first question is about the relationship between opinion on gun ownership and race-ethnicity. 67% of White respondents, 28% of Black respondents, and 64% of Hispanic respondents shared the view that widespread gun ownership protects law abiding citizens from crime.
The opinion on gun ownership is dependent on race-ethnicity. Roughly 20% of undergraduates at a university are vegetarian or vegan. We need to find the probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan.
P(at least one is vegetarian or vegan) = 1 - P(none of them is vegetarian or vegan) P(none of them is vegetarian or vegan)
= (0.8)^3
= 0.512
P(at least one is vegetarian or vegan) = 1 - 0.512
= 0.488
The probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan is 0.488.
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Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside
Answers
Answer:
1 1/3 minutes
Step-by-step explanation:
Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside
From the above question, we are to calculate the time at which the gasoline is pumped into the container
Hence:
Time = Number of gallons/Rate
Number of gallons = 4
Rate = 3 gallons per minutes
Hence:
Time = 4 gallons/3 gallon per minutes
Time = 1 1/3 minutes
The time at which the gasoline is pumped into the container is 1 1/3 minutes
pls help! will mark brainliest if correct!
Answers
Answer:
a. y=4x-5
Step-by-step explanation:
Which of the following can cause the usual OLS t statistics to be invalid (that is, not to have t distributions under the null hypothesis H0)? Explain.(i) Heteroskedasticity.(ii) A sample correlation coefficient of 0.95 between two independent variables that are in the model.(iii) Omitting an important explanatory variable
Answers
Both heteroskedasticity and the omission of an important explanatory variable can cause the usual OLS t-statistics to be invalid, while a high sample correlation coefficient between two independent variables can result in issues related to multicollinearity, affecting the standard errors and, consequently, the validity of the t-statistics.
(i) Heteroskedasticity: Heteroskedasticity refers to the situation where the variance of the error term in a regression model is not constant across different levels of the independent variables.
In the presence of heteroskedasticity, the usual Ordinary Least Squares (OLS) t-statistics can become invalid.
This is because heteroskedasticity violates one of the assumptions of the classical linear regression model, which assumes constant variance of the error term (homoskedasticity).
As a result, the estimated standard errors of the coefficients may be biased, leading to incorrect t-statistics and incorrect hypothesis testing.
(ii) A sample correlation coefficient of 0.95 between two independent variables that are in the model: The sample correlation coefficient measures the strength and direction of the linear relationship between two variables.
When two independent variables in a regression model have a high correlation, it can cause issues with multicollinearity. Multicollinearity refers to the situation where there is a high correlation between two or more independent variables.
In the presence of strong multicollinearity, the OLS estimators can still be unbiased, but their standard errors can be large. This can result in inflated standard errors and, consequently, invalid t-statistics.
(iii) Omitting an important explanatory variable: Omitting an important explanatory variable from a regression model can lead to omitted variable bias.
Omitted variable bias occurs when a relevant variable is left out of the model, and the remaining variables do not fully capture its effect on the dependent variable.
This can result in biased estimates of the coefficients for the included variables. In such cases, the OLS t-statistics can be invalid, as they are based on the assumption that the omitted variable has no effect on the dependent variable.
The omission of an important explanatory variable can lead to omitted variable bias and violate the assumptions of the classical linear regression model, resulting in incorrect hypothesis testing and potentially invalid t-statistics.
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Combien font 8000+9999
Answers
Answer:
17999
Step-by-step explanation:
What’s the rate of -5x - 6
Answers
Answer:
30
Step-by-step explanation:
Romb ma obwód równy 32 cm. Jakie jest pole tego rombu, jeżeli jego wysokość ma 3 cm?
Answers
Answer:
24 cm²
Step-by-step explanation:
Z zadanego powyżej pytania uzyskano następujące dane:
Obwód (obwód) = 32 cm
Wysokość (h) = 3 cm
Obszar rombu (A) =?
Następnie określimy długość boku rombu. Można to uzyskać w następujący sposób:
Obwód, czyli obwód (P) = 32 cm
Strona (y) =?
P = 4 s
32 = 4 s
Podziel obie strony przez 4
s = 32/4
s = 8 cm
Stąd długość boku rombu wynosi 8 cm
Na koniec określimy obszar rombu w następujący sposób:
Długość boków = 8 cm
Wysokość (h) = 3 cm
Obszar rombu (A) =?
A = sh
A = 8 × 3
A = 24 cm²
Dlatego obszar rombu jest
24 cm².
Given the functions f(x) = –4^x + 5 and g(x) = x^3 + x^2 – 4x + 5, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
Answers
The function f(x) = -4ˣ + 5 is an exponential function and the function g(x) = x³ + x² - 4x + 5 is a polynomial function.
The common features for both are
The domain and the range are defined for all real numbers
They both have y intercepts of different values
What is exponential function?
An exponential function is a mathematical function that represents exponential growth or decay. It is a function of the form:
f(x) = a bˣ
While a polynomial function is a function having variables that do not have a negative index
The key features
Domain: Both functions are defined for all real values of x since there are no restrictions on the variable x.
Range: Both functions have a range that spans all real numbers.
X-intercepts: The exponential function do not have x intercept while the polynomial function has x intercept at (-3, 0)
Y-intercept: They bot have different y intercepts
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URGENT HELP PLEASSEEEEEEEEEE!!!!!
Answers
Answer:
5/16
Step-by-step explanation:
Each number can happen in exactly one way (one sets the digit of tens and the other of ones).
We know that the law of divisibility by 3 is "sum of digits has to be divisible by 3", so let's examine the numbers:
11
13
15 - Yes
17
31
33 - Yes
35
37
51 - Yes
53
55
57 - Yes
71
73
75 - Yes
77
So it's 5 out of 16 options.
We could do it by examining the relation and modulus shifts with each digit, but for 16 numbers it's seriously faster to just list them.
allen and ben are painting a fence. the ratio of the amount of work allen does to the amount of work ben does is $3:5$. if the fence requires a total of $240$ square feet to be painted, how many square feet does ben paint?
Answers
The fence Ben paints is 150 square feet.
Given:
ratio of the amount of work allen does to the amount of work ben does is 3:5
allen : ben = 3:5
total work done in ratio = 3 + 5 = 8
Count the fence Ben paints
Since , fence requires a total of 240 square feet to be painted
Thus, ben = ratio of ben/ total ratio × total of works
ben = 5/8 × 240
ben = 1,200/8
ben = 150
Hence , The fence Ben paints is 150 square feet .
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Will make brainiest if 2 people answer :3
Answers
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
1. Isolate x in the first equation:
2. Substitute the value for x into the second equation:
3. Solve for y:
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
The equation representing the left table is
.
The equation representing the right table is
.
The solution to the system of equations is
.
Answers
Answer:
x=2
Step-by-step explanation:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
For each angle below, determine the quadrant in which the terminal side of the angle is found and find the corresponding reference angle θˉ. 1. θ=34π is found in quadrant 2. θ=45π is found in quadrant and θˉ= 3. θ=611π is found in quadrant and θˉ= 4. θ=5 is found in quadrant and θˉ= Remark: Enter ' 1 ' for quadrant I, ' 2 ' for quadrant II, ' 3 ' for quadrant III, and ' 4 ' for quadrant IV.
Answers
1. θ = 34π is found in quadrant II and θ₁ = 45°. 2. θ = 45π is found in quadrant III and θ₁ = 135°. 3. θ = 611π is found in quadrant I and θ₁ = 120°. 4. θ = 5 is found in quadrant I and θ₁ = 5°.
To determine the quadrant in which the terminal side of each angle is found and find the corresponding reference angle, we need to consider the values of the angles in relation to the unit circle. Here are the calculations:
1. θ = 3/4π
The angle 3/4π is equivalent to 135 degrees. In the unit circle, this angle lies in quadrant II (upper left). The reference angle can be found by subtracting this angle from 180 degrees (π radians):θ₁ = 180° - 135° = 45°
Therefore, θ = 3/4π is found in quadrant II, and the corresponding reference angle is θ₁ = 45°.
2. θ = 45π
The angle 45π is equivalent to 225 degrees. In the unit circle, this angle lies in quadrant III (lower left). The reference angle can be found by subtracting this angle from 360 degrees (2π radians):
θ₁ = 360° - 225° = 135°
Therefore, θ = 45π is found in quadrant III, and the corresponding reference angle is θ₁ = 135°.
3. θ = 611π
The angle 611π is equivalent to 1920 degrees. In the unit circle, this angle completes several full rotations and ends in quadrant I (upper right). The reference angle can be found by subtracting the nearest multiple of 360 degrees (2π radians):
θ₁ = 1920° - 6 × 360° = 120°
Therefore, θ = 611π is found in quadrant I, and the corresponding reference angle is θ₁= 120°.
4. θ = 5
The angle 5 is equivalent to 5 degrees. In the unit circle, this angle lies in quadrant I (upper right) as it is a small positive angle. The reference angle for this case is the angle itself, as it is already in the first quadrant:
θ₁ = 5°
Therefore, θ = 5 is found in quadrant I, and the corresponding reference angle isθ₁= 5°.
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-6x - 42= –10x + 62
X =
Answers
\( - 6x - 42 = - 10x + 62\)
Add sides 42
\( - 6x - 42 + 42 = - 10x + 62 + 42 \\ \)
\( - 6x = - 10x + 104\)
Add sides 10x
\( 10x - 6x =10x - 10x + 104 \)
\(4x = 104\)
Divided sides by 4
\( \frac{4}{4}x = \frac{104}{4} \\ \)
\(x = 26\)
_________________________________
Done ♥️♥️♥️♥️♥️
Which system of linear equations has only one solution? Why? How about the system of linear equations with no solution? Infinite number of solutions? Explain your answer.
Answers
The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.
Two types of system of equations exist- consistent and inconsistent.
Inconsistent means that it has no solution , i.e. the solution does not exist , here
Rank of augmented matrix is not equal to that of coefficient matrix.
Consistent system means a solution of the equation exists i.e.
rank of augmented matrix = rank of coefficient matrix.
Now, a consistent system can be of two types again - It may have a unique solution ,i.e.
rank of augmented matrix = rank of coefficient matrix = no. of unknowns
or an infinite number of solutions, where
rank of augmented matrix = rank of coefficient matrix < no. of unknowns (here we need to assign an arbitrary value to a free variable to find its solutions).
For e.g. let us consider the system -
x + y+ z = 0
2x + 3y + 4z = 1
Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .
Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.
Here, we see that (-1,1,0) is also a solution other than the zero solution.
We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.
Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.
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Which point is located at 2/4 on the number line??
Answers
Answer:
on C
Step-by-step explanation:
The point K is located at 2/4.
What is fraction?"It is a number expressed as a quotient, in which a numerator is divided by a denominator."
For given example,
We have been given a fraction 2/4.
We simplify given fraction 2/4 as
2/4
= 1/2
=0.5
Also, the midpoint of 0 and 1 is,
(0 + 1)/2 = 0.5
In the given graph the midpoint of 0 and 1 is denoted by K
Therefore, the point K is located at 2/4.
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PLEASE HELP!!!!! 30 POINTS
1.Evaluate 1/2|2x^2-3| when x= -2.
A.-5/2
B.11/2
C.-11/2
D.5/2
2.Which relation has a domain of {–5, –3, 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}?
A.{(-5, 9), (10, –3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}
B.{(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
C.{(-5, -5), (-3, 0), (2, 8), (1, 7), (5, 3), (6, 4)}
D.{(2, –5), (3, –3), (6, 0), (7, –5), (1, 0), (8, –5), (4, –3), (5, 0)}
Answers
Answer:
1.) A.) -5/2
2.) B. {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
Step-by-step explanation:
Imma genius
Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+
Answers
Does x=25? Just tell me yes or no pls and if not what it is lol
Answers
Answer:
yes
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
\(y=-\frac{1}{4} x-6\)
Step-by-step explanation:
The slope-intercept form is \(y=mx+c\), where m is the slope of the line and c is where the line crosses the \(y\)-axis.
To calculate \(m\) we can use the formula \(m = \frac{dy}{dx}\) where \(dy\) is the difference in \(y\) between two points and \(dx\) is the difference between \(x\).
Information we can get from the graph given: \(c=-6\). Since \(c\) is the point at which the line crosses the \(y\)-axis.
To find \(m\) let's get two points from the graph.
Point 1: \((4,-7)\)
Point 2: \((8,-8)\)
Now use the equation \(m = \frac{dy}{dx}\).
\(m = \frac{-7 - (-8)}{4-8} = -\frac{1}{4}\).
Now we have \(m\) and \(c\), let's put them back into the general equation.
\(y=-\frac{1}{4} x-6\)
In a class test containing 20 questions, 5 marks are given for every correct answers, ( -2 ) marks given for every incorrect answers and zero mark for question not attempted. Anju gets 9 correct answer and 11 incorrect answers. What is her total score?
Answers
Answer:
she has 23 points
Step-by-step explanation:
hope this helps and mark brainliest please
what is the sum , difference ,product and quotient for 141.2-79.83
Answers
The difference between 141.2 and 79.83 is as follows:141.2 - 79.83 = 61.37The sum of 141.2 and 79.83 is:141.2 + 79.83 = 221.03The product of 141.2 and 79.83 is:141.2 × 79.83 = 11250.996 The quotient when 141.2 is divided by 79.83 is:141.2 ÷ 79.83 = 1.7696655174 (approx. 1.77)
Thus, the sum of 141.2 and 79.83 is 221.03. The difference between 141.2 and 79.83 is 61.37. The product of 141.2 and 79.83 is 11250.996. The quotient when 141.2 is divided by 79.83 is approximately 1.77.Thus, the solution can be summarized as follows: Given the two numbers 141.2 and 79.83, we are to find their sum, difference, product, and quotient.
After performing the necessary arithmetic operations, we get that their sum is 221.03, their difference is 61.37, their product is 11250.996, and their quotient is approximately 1.77.
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I need help on this no rush either take as much time as you need and I asked my sister this but she said just ask on brainly
Answers
Answer:
45
Step-by-step explanation:
The equation for area of a triangle is:
\(A=\frac{1}{2}*b*h\)
Using the figure, we can determine the base is 15 since it is perpendicular to the height.
We can plug 6 (height) and 15 (base) into the equation to solve for the area...
\(A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45\)
Suppose that the dollar v (t) of a certain house that is t years old is given by the fallowing exponential functionV(t) = 659,500(0.79)^t
Answers
- The initial value of the function is obtained when t=0. Replace this value into the formula for V(t):
V(0) = 659,000(0.79)⁰ = 659,000
- The function represent a decay because the factor exponentiated, 0.79, is lower than 1.
- 0.79 represents a decay of
1 - 0.79 = 0.21
which is equivalent to a decay of 21%