The watershed area is approximately 681.75 square miles.
To calculate the direct runoff hydrograph from a two-hour storm with 4 inches of excess rainfall at a constant rate, we can convolute the unit hydrograph with the excess rainfall.
Given the ordinates of the one-hour unit hydrograph as 269, 538, 807, 645, 484, 323, and 161 cfs/in, we can assume that these values represent the response of the watershed to 1 inch of excess rainfall.
Since the storm duration is 2 hours and the excess rainfall is 4 inches, we need to scale the unit hydrograph accordingly. We multiply each ordinate by the excess rainfall amount (4 inches) and divide by the storm duration (2 hours). This will give us the corresponding discharge at each time interval.
The scaled ordinates of the direct runoff hydrograph would be:
269 * (4/2) = 538 cfs
538 * (4/2) = 1076 cfs
807 * (4/2) = 1614 cfs
645 * (4/2) = 1290 cfs
484 * (4/2) = 968 cfs
323 * (4/2) = 646 cfs
161 * (4/2) = 322 cfs
These are the values of direct runoff discharge at each time interval.
To calculate the watershed area (A), we need to divide the total volume of direct runoff (Q) by the rainfall depth (P). In this case, the total volume of direct runoff is equal to the sum of the scaled ordinates of the direct runoff hydrograph, and the rainfall depth is 4 inches.
Q = 538 + 1076 + 1614 + 1290 + 968 + 646 + 322 = 5454 cfs
P = 4 inches
Using the equation A = Q / (P * T), where T is the storm duration, we can calculate the watershed area.
A = 5454 cfs / (4 inches * 2 hours)
A = 5454 cfs / (8 in*hr)
A = 681.75 mi²
Therefore, the watershed area is approximately 681.75 square miles.
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true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
Which of the following is equivalent to 67?
Answer:
efefe
Step-by-step explanation:
fef greht jy7i8
If AA×AA=BBCC Then find A+B+C With explanation
198 is answer of a linear equation A+B+C.
What is linear equation ?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Where a 0 and x is the variable, ax + b = 0. In the equation ax + by + c = 0, the variables a, b, x, and y are all zeros.Value of AA
AA × AA = BBCC
which means AA² = BBCC
Then AA = √BBCC
Conclusion
The value of AA = √BBCC
Let A=99
B=11
C=88
A+B+C = 99+11+88=198
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s the statement a tautology? a. the statement is not a tautology, since it is false for all combinations of truth values of the components. b. the statement is a tautology, since it is true for all combinations of truth values of the components. c. the statement is a tautology, since there is at least one combination of truth values for its components where the statement is true. d. the statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false.
The given statement: "the statement is not a tautology, since it is false for all combinations of truth values of the components" is not a tautology because it is false for all combinations of truth values of the components.
A tautology is a compound statement that is always true, no matter what the truth values of its individual components are. On the other hand, a contradiction is a compound statement that is always false, no matter what the truth values of its individual components are.
The statement "the statement is not a tautology, since it is false for all combinations of truth values of the components" does not qualify to be a tautology because it is false for all combinations of truth values of the components.
It is a contradiction. The negation of a contradiction is always a tautology. Therefore, the negation of the given statement will be a tautology. Therefore, the statement "the statement is a tautology, since it is true for all combinations of truth values of the components" is the tautology.
The statement "the statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false" is a contradiction as well because it is false for all combinations of truth values of the components. Hence, the correct answer is option A.
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Suppose that 25% of adults exercise regularly. If 11 adults randomly selected, what is the probability that four or less exercise regularly
The probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.
This problem can be solved using the binomial distribution, since we are interested in the probability of a certain number of successes (adults who exercise regularly) in a fixed number of trials (selecting 11 adults randomly).
Let X be the number of adults who exercise regularly out of 11. Then X has a binomial distribution with parameters n = 11 and p = 0.25, since the probability of success (an adult who exercises regularly) is 0.25.
We want to find the probability that four or less adults exercise regularly, which is equivalent to finding the probability of X ≤ 4. We can use the binomial cumulative distribution function to calculate this probability:
P(X ≤ 4) = Σ P(X = k), for k = 0, 1, 2, 3, 4
Using a calculator, spreadsheet software, or a binomial probability table, we can find the probabilities for each value of k, and then add them up to get the cumulative probability:
P(X = 0) = (11 choose 0) * (0.25)^0 * (0.75)^11 = 0.0563
P(X = 1) = (11 choose 1) * (0.25)^1 * (0.75)^10 = 0.2015
P(X = 2) = (11 choose 2) * (0.25)^2 * (0.75)^9 = 0.3159
P(X = 3) = (11 choose 3) * (0.25)^3 * (0.75)^8 = 0.2747
P(X = 4) = (11 choose 4) * (0.25)^4 * (0.75)^7 = 0.1340
P(X ≤ 4) = 0.0563 + 0.2015 + 0.3159 + 0.2747 + 0.1340 = 0.9824
Therefore, the probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.
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Which expression is a factor of x2 +2x - 15 A. (x - 3) B. (x + 3) C. (x + 15) D. (x - 5)
Answer:
A. (x - 3)
Step-by-step explanation:
x^2 +2x - 15
Factor
What 2 numbers multiply to -15 and add to 2
5*-3 = -15
5 -3 =2
(x+5)(x-3)
Write the words that represent s + 21.
Answer:
A number s plus 21
Step-by-step explanation:
s+21
A number s plus 21
kevin opened a savings account with texas national bank. his account has an apr of 1.75% compounded quarterly. if kevin opens his account with $2500, how long will it take for the account to earn $7500?
As per the concept of compound interest, it take 62.915 years for the account to earn $7500
Compound interest:
The general formula to calculate the compound interest is written as,
A = P(1 + r/n)^nt
where
A = Accrued amount (principal + interest)
P = Principal amount
r = Annual nominal interest rate as a decimal
n = number of compounding periods per unit of time
t = time in decimal years;
Given,
Compounding frequency = Quarterly
Interest rate = 1.75%
Opening balance = $2500
Final amount = $7500
Now, we have to calculate the time time for the person to achieve the final amount,
First, convert R as a percent to r as a decimal
r = R/100
r = 1.75/100
r = 0.0175 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(7,500.00/2,500.00) / ( 4 × [ln(1 + 0.0175/4)] )
t = ln(7,500.00/2,500.00) / ( 4 × [ln(1 + 0.004375)] )
t = 62.915 years
Therefore, the time required to get a total amount of $7,500.00 with compounded interest on a principal of $2,500.00 at an interest rate of 1.75% per year and compounded 4 times per year is 62.915 years.
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A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: the last flip comes up tails What is \( p(B \mid A) ? \) \(
( p(B \mid A) \) is the probability of getting THH, which is 1/3.
To determine \( p(B \mid A) \), we need to consider the outcomes that satisfy event A (having at least two consecutive heads) and then determine how many of those outcomes also satisfy event B (the last flip is tails). Let's analyze the possible outcomes:
There are a total of 2^3 = 8 equally likely outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Among these outcomes, the ones that satisfy event A (at least two consecutive heads) are: HHH, HHT, THH.
Out of these three outcomes, only one (THH) satisfies event B (the last flip is tails).
Therefore, \( p(B \mid A) \) is the probability of getting THH, which is 1/3.
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¿Cual es el triple del 50% De $2000 y luego se divide entre 10, Cuánto es la mitad de la cuarta parte de 80 ?
The triple 50% or 150% of $2000 is $3000.
The quarter of 80 is 40.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
we have to find triple 50% or 150% of $2000.
So, 150 / 100 x 2000
= 3/2 x 2000
= $3000.
Then divided by 10
3000 / 10 = $300
Also, the quarter of 80
= 1/4(80)
= 20
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The translation of the complete question is:
What is triple 50% of $2000 and then divided by 10, how much is half of a quarter of 80?
T/F. he triple exponential smoothing method uses seasonality variations in the analysis of the data.
False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.
The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.
Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.
The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.
By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.
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What is the total price of a boat with an original price of 12916$, if it is sold at a 15% discount? The sales tax rate is 3 3/4 %
Answer:
$11390.30
Step-by-step explanation:
Discount
12916 x 0.15 = 1937.4
Discounted price
12916 - 1937.4 = 10978.6
Tax of 3 and 3/4 percent which I think is 0.0375
10978.6 x 0.0375 = 411.6975
Total
10978.6 + 411.6975 = $11390.2975
Find the domain of the function expressed by the formula: f(x)= 3x/(x−1)(x−2)
Answer:
Domain: x < 1 or 1 < x < 2 or x > 2
Step-by-step explanation:
Take the denominator(s) and compare to zero
(x-1)(x-2) = 0
Solve (x-1)(x-2)=0:
x = 1
x = 2
Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother. What percent of the baseball cards did he give to his brother?
Answer:
85%
Step-by-step explanation:
Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother.
The number of baseball cards he gave to his brother is :
120 - 18 = 102 baseball cards
The percent of the baseball cards he gave to his brother is calculated as:
(Number of baseball cards given to his brother/ Total number of baseball cards) × 100
= 102/120 × 100
= 85%
The percent of baseball cards Evans gave his brother is 85%
how many Jamaican dollars are equivalent to US $135 , if US =$1 - JA $87.50
11812.5 Jamaican dollars is equivalent to $135
How to determine the amount?The conversion rate is given as:
$1 = JA 87.50
Multiply both sides of the conversion rate by 135
135 * $1 = JA 87.50 * 135
Evaluate the product
$135 = JA 11812.5
Hence, 11812.5 Jamaican dollars is equivalent to $135
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Which equation shows how the distributive property can be used to find the number of
Xs in both arrays?
Answer:
here is a simple version
lets make A equal the exponent so (A=^2 or 3 or whatever)
the exponent will be the amount of times you want to repeat the process.
Now lets make x = the first array, so x=3
and lets make y = the second array, y=7
now a simple equation would be (3x)(7y)^A or for this you could say
(3x)(7y)^6
Help me with this question yall
Solution:-
= 6⁴/6²
\( = {6}^{4 - 2} \) ⠀⠀{ a^m/a^n = a^(m - n) }
= 6²
Thus, Option c.) 6² is correct!
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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help pls everybody this is so confusing rn omg
Answer:
x = 5
Step-by-step explanation:
Think of it like a ratio
Here is the step by step
\(\frac{x}{2} : \frac{12.5}{5} =\\5x = 2*12.5\\5x = 25\\x= \frac{25}{5}\\x = 5\)
Hope this helps! (☞゚ヮ゚)☞
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It would help me a lot!
Thanks! :)
hanna, who is a 5-year-old girl, eats nothing but pasta, yogurt, and lemonade. each month her parents buy 21 pounds of pasta, 57 packages of yogurt, and 11 bottles of lemonade. hanna's parents have recorded the prices per unit of pasta, yogurt, and lemonade for the last four months, as shown in the table below. hanna's mealsmonthpasta (dollars per pound)yogurt (dollars per package)lemonade (dollars per bottle)january$1.94$0.96$1.94february1.771.062.12march2.171.061.87april1.971.161.92 instructions: round your answers to two decimal places. a. compute the total monthly cost of hanna's meals and indicate whether inflation, deflation (negative inflation), or no inflation occurred during these months. in january, the total monthly cost was $ . in february, the total monthly cost was $ and (click to select) . in march, the total monthly cost was $ and (click to select) . in april, the total monthly cost was $ and (click to select) . b. if hanna's parents want to buy the same quantity of pasta, yogurt, and lemonade, how much more money will they have to spend during the month of april compared to january? $
Hanna's parents will have to spend an additional $5.23 in April compared to January for the same quantity of pasta, yogurt, and lemonade.
a. To compute the total monthly cost of Hanna's meals, we multiply the quantity of each item by its respective price and sum them up.
In January, the total monthly cost is calculated as:
Total cost = (21 pounds of pasta) * ($1.94 per pound) + (57 packages of yogurt) * ($0.96 per package) + (11 bottles of lemonade) * ($1.94 per bottle) = $40.74
In February, the total monthly cost is:
Total cost = (21 pounds of pasta) * ($1.77 per pound) + (57 packages of yogurt) * ($1.06 per package) + (11 bottles of lemonade) * ($2.12 per bottle) = $45.93
In March, the total monthly cost is:
Total cost = (21 pounds of pasta) * ($2.17 per pound) + (57 packages of yogurt) * ($1.06 per package) + (11 bottles of lemonade) * ($1.87 per bottle) = $49.99
In April, the total monthly cost is:
Total cost = (21 pounds of pasta) * ($1.97 per pound) + (57 packages of yogurt) * ($1.16 per package) + (11 bottles of lemonade) * ($1.92 per bottle) = $45.97
To determine whether inflation, deflation, or no inflation occurred during these months, we compare the total monthly costs.
In February, the total monthly cost ($45.93) is higher than January ($40.74), indicating inflation.
In March, the total monthly cost ($49.99) is higher than February ($45.93), indicating inflation.
In April, the total monthly cost ($45.97) is slightly lower than March ($49.99), indicating deflation (negative inflation).
b. To calculate how much more money Hanna's parents will have to spend in April compared to January, we subtract the total cost of January from the total cost of April.
Additional cost in April = Total cost in April - Total cost in January
= $45.97 - $40.74 = $5.23
Therefore, Hanna's parents will have to spend an additional $5.23 in April compared to January for the same quantity of pasta, yogurt, and lemonade.
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Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, explain why not. Six students are randomly chosen from a Statistics class of 300 students. Let X be the average student grade on the first test. Part 1 The random variable X does not have a binomial distribution. Part 2 out of 2 Which of the following conditions for the binomial distribution does not hold? (If there is more than one, select only one.) 1. A fixed number of trials are conducted. 2. There are two possible outcomes for each trial. 3. The probability of success is the same on each trial. 4. The trials are independent. 5. The random variable X represents the number of successes that occur. The random variable is not binomial because does not hold.
1. X does not have a binomial distribution.
2. X cannot have a binomial distribution.
Part 1: The random variable X do not have a binomial distribution.
Part 2: The random variable is not binomial because the first condition for a binomial distribution does not hold. A binomial distribution requires a fixed number of trials, but in this case, the number of students chosen from the Statistics class is not fixed, but rather a random variable itself. Therefore, X cannot have a binomial distribution.
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NEED HELP ASAP *REAL ANSWERS PLS*
Solve the inequality: 22 – 3
Hello!
Answer:
22-3= 19
Step-by-step explanation:
Hope this helps!
Which of the following statements is true? 642 is not divisible by 3 or 9 642 is divisible by 3 but not by 9 642 is divisible by 9 but not by 3 642 is divisible by 3 and 9
I NEED ANSWER NOW
Answer:
642 is divisible by 3 but not by 9
Step-by-step explanation:
642/3
= 214
642 / 9
= 71 remainder 3.
if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help
Answer:
x
=
−
8
−
√
13
3
,
−
8
+
√
13
3
I dont know why the answer is spacing out like this
answer please very quickly
Joanie weighs 102 pounds. Her father weighs 2.2 times as much as Joanie. How much does her father weigh?
Answer:
224.4
Step-by-step explanation:
102x2.2=224.4
Could I please have Brainliest.
What is joule per meter second?
Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.
Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.
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TRANSAMERICA BUILDINGThe TransAmerica building in San Francisco is built of concrete and is shaped like a square-based pyramid. The building is periodically power-washed using one gallon of cleaning solution for every 250 square meters of surface. As the new building manager, you need to order the cleaning supplies for this large task. The problem is that you do not know the height of each triangular face of the building; you only know the vertical height of the building from the base to the top vertex.Your Task: Determine the amount of cleaning solution needed to wash the TransAmerica building if an edge of the square base is meters and the height of the building is meters. Include a sketch in your solution.
we know that
The surface area of a square pyramid is given by the formula
\(SA=B+LA\)where
B is the area of the square base
LA is the lateral area (area of the four triangular faces)
step 1
Find out the area of the square base B
\(\begin{gathered} B=96^2 \\ B=9,216\text{ m}^2 \end{gathered}\)step 2
Find out the area of one triangular face
the area of one triangular face is given by the formula
\(A=\frac{1}{2}*b*h\)where
b=96 m
h=?
Applying the Pythagorean Theorem, find out the value of h
\(h^2=H^2+(\frac{b}{2})^2\)where
H=220 m (height of the building)
b/2=96/2=48 m
substitute
\(\begin{gathered} h^2=220^2+(48)^2 \\ h^2=50,704 \\ h=225.18\text{ m} \end{gathered}\)substitute
\(\begin{gathered} A=\frac{1}{2}*96*225.18 \\ A=10,808.64\text{ m}^2 \end{gathered}\)Multiply by 4 to obtain the Lateral Area
\(\begin{gathered} LA=4*10,808.64 \\ LA=43,234.56\text{ m}^2 \end{gathered}\)The surface area of the building is equal to
\(\begin{gathered} SA=9,216+43,234.56 \\ SA=52,450.56\text{ m}^2 \end{gathered}\)step 3
we know that
one gallon of cleaning solution -----> for every 250 square meters of surface
Applying proportion
1/250=x/52,450.56
solve for x
x=52,450.56/250
x=210 gallons
The answer is 210 gallonssee the figure below to better understand the calculation to obtain the value of
h (the height of each triangular face)
Jenny is making jewelry craft kits. She purchases 3 bags of each color band. She divides the total number of bands equally into 4 kits. How many bands are in each kit?
Answer:
12
Step-by-step explanation:
Given:
3 bags of each color band
4 kits
To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.
Find the greatest common factor of 3 and 4:
factors of 3 = 1,3,6,9,12,15,18,21,24....
factors of 4 = 1,2,4,8,12,16,20,24...
How many bands are in each kit?
12 or any other number that is a factor of both 3 and 4 such as 24,..etc.
In joes summer camper there are 20 total campers. Joe claims that the ratio of swimmers to non-swimmersin the cambin is 3:10 because 3/10 of the campers can swim explain why joe is incorrect? Wg=hat is the correct ratio of swimmers to non-swimmers? Remember to reduce the ratio
Joe is incorrect because the ratio of swimmers to non-swimmers in the camp is not 3:10. To determine the correct ratio, we need to calculate the number of swimmers and non-swimmers based on the given information.
Joe claims that 3/10 of the campers can swim. To find the number of swimmers, we multiply the total number of campers (20) by the fraction of swimmers (3/10):
Number of swimmers = 20 * (3/10) = 6
Next, we can find the number of non-swimmers by subtracting the number of swimmers from the total number of campers:
Number of non-swimmers = 20 - 6 = 14
Therefore, the correct ratio of swimmers to non-swimmers is 6:14. However, this ratio can be further simplified by dividing both numbers by their greatest common divisor, which is 2 in this case:
Simplified ratio of swimmers to non-swimmers = 6/2 : 14/2 = 3:7
So, the correct ratio of swimmers to non-swimmers in Joe's summer camp is 3:7, not 3:10 as Joe claimed.
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