Answer:
A.1
Step-by-step explanation:
When substitute 1 to x... it will be -6 to -9.... -6 is larger than -9
Using the data below, what is the value of the absolute percent error for week 3? Week Time Series Value Forecast 1 7 5.00 2 5 8.00 3 4 3.00 4 3 6.00 Submit Answer format: Number: Round to: 2 decimal places.
The value of the absolute percent error for week 3 is 25.00%.
To calculate the absolute percent error for week 3, we need to find the absolute difference between the forecasted value and the actual value, and then divide it by the actual value. Finally, we multiply the result by 100 to convert it to a percentage.
To find the absolute percent error for week 3, we'll use the formula:
Absolute Percent Error = |(Actual Value - Forecasted Value) / Actual Value| * 100
For week 3:
Actual Value = 4.00
Forecasted Value = 3.00
Absolute Percent Error = |(4.00 - 3.00) / 4.00| * 100
= |1.00 / 4.00| * 100
= 0.25 * 100
= 25.00
Therefore,For week three, the absolute percent error value is 25.00%.
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Type the correct answer in the box. Use numerals instead of words.
For this item, any non-integer answer should be entered as a decimal, rounded to the hundredths place.
Triangle ABC has coordinates A(-4,1), B(0,-2), and C(4,1).
The perimeter of ∆ABC is
units.
The perimeter of The perimeter of triangle ABC is 18 units. ABC is 18 units.
To find the perimeter of triangle ABC, we need to calculate the lengths of its sides and then sum them.
Using the distance formula, we can find the lengths of the sides:
AB = \(√[(-4-0)^2 + (1-(-2))^2] = √[16 + 9] = √25\) = 5 units
BC = \(√[(0-4)^2 + (-2-1)^2] = √[16 + 9] = √25\)= 5 units
CA = \(√[(4-(-4))^2 + (1-1)^2] = √[64 + 0] = √64\) = 8 units
Now, we can sum the lengths of the sides to find the perimeter:
Perimeter = AB + BC + CA = 5 + 5 + 8 = 18 units
The perimeter of triangle ABC is 18 units.
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Find the formula for (g.h)(x)
Answer:
\(goh(x) = 6x - 17\)
Step-by-step explanation:
\(goh(x) = 3(2x - 4) - 5 \\ goh(x) = 6x - 17\)
Product going toward health care x years after 2006 . According to the model, when will 18.0% of gross domestic product go toward health care? According to the model, 18.0% of gross domestic product will go toward health care in the year (Round to the nearest year as needed.)
According to the model, 18% of gross domestic product will go toward health care in the year 2026.
To find the year when 18% of gross domestic product (GDP) will go toward health care according to the given model, we need to solve the equation:
f(x) = 18
where f(x) represents the percentage of GDP going toward health care x years after 2006.
Given the model f(x) = 1.4 ln(x) + 13.8, we can substitute 18 for f(x):
1.4 ln(x) + 13.8 = 18
Subtracting 13.8 from both sides:
1.4 ln(x) = 4.2
Dividing both sides by 1.4:
ln(x) = 3
To solve for x, we can exponentiate both sides using the base e (natural logarithm):
e^(ln(x)) = e^3
x = e^3
Using a calculator, the approximate value of e^3 is 20.0855.
Therefore, according to the model, 18% of GDP will go toward health care in the year 2006 + x = 2006 + 20.0855 ≈ 2026 (rounded to the nearest year).
According to the model, 18% of gross domestic product will go toward health care in the year 2026.
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Complete question is below
The percentage of gross domestic product (GDP) in a state going toward health care from 2007 through 2010, with projections for 2014 and 2019 is modeled by the function f(x) = 1.4 In x + 13.8, where f(x) is the percentage of gross domestic product going toward health care x years after 2006. According to the model, when will 18% of gross domestic product go toward health care?
According to the model, 18% of gross domestic product will go toward health care in the year (Round to the nearest year as needed.)
If Shoppers Enter A Mall At Rate Of 15 Per Hour, What Is Probability Of Each Of The Following?1) Exactly 6 Customers Enter Mall In 1h Period2) 0 Customers Enter Mall In 20-Minute Period3) 1 Customer Enter Mall In 20-Minute Period4) At Least 2 Customers Will Enter Mall In 20-Minute Period5) At Most, 1 Customer Will Enter Mall In
If shoppers enter a mall at rate of 15 per hour, what is probability of each of the following?
1) Exactly 6 customers enter mall in 1h period
2) 0 customers enter mall in 20-minute period
3) 1 customer enter mall in 20-minute period
4) At least 2 customers will enter mall in 20-minute period
5) At most, 1 customer will enter mall in 20-minute period
The probability of exactly 6 customers entering the mall in a 1-hour period is 0.0127 (approx). The probability of 0 customers entering the mall in a 20-minute period is 0.0067 (approx).
Given data: shoppers enter a mall at the rate of 15 per hour. We need to find the probabilities of different events. Explanation: Exactly 6 customers enter mall in a 1-hour period
P(X = 6) = (e^-15 * 15^6) / 6! = 0.0127 (approx)
Therefore, the probability of exactly 6 customers entering the mall in a 1-hour period is 0.0127 (approx).
0 customers enter the mall in a 20-minute period. Here, the time is given in minutes and the rate is given in an hour. Hence, we need to first convert the rate into a 20-minute period. So, the rate of customers entering the mall in 20 minutes = 15/3 = 5.Now,
P(X = 0) = e^-5 = 0.0067 (approx)
Therefore, the probability of 0 customers entering the mall in a 20-minute period is 0.0067 (approx).
1 customer enters the mall in a 20-minute period. The rate of customers entering the mall in 20 minutes is already calculated as 5.
P(X = 1) = (e^-5 * 5^1) / 1! = 0.0337 (approx)
Therefore, the probability of 1 customer entering the mall in a 20-minute period is 0.0337 (approx).
At least 2 customers will enter the mall in a 20-minute period. Here, we need to find the probability of 2 or more customers entering the mall in 20 minutes.
P(X ≥ 2) = 1 - P(X ≤ 1)P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.0067 + 0.0337 = 0.0404
Now, P(X ≥ 2) = 1 - P(X ≤ 1) = 1 - 0.0404 = 0.9596
Therefore, the probability of at least 2 customers entering the mall in a 20-minute period is 0.9596.5) At most, 1 customer will enter the mall in a 20-minute period. Here, we need to find the probability of 0 or 1 customers entering the mall in 20 minutes.
P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.0067 + 0.0337 = 0.0404Therefore, the probability of at most 1 customer entering the mall in a 20-minute period is 0.0404.
To summarize, the probabilities of the given events are:
P(X = 6) = 0.0127 (approx)
P(X = 0) = 0.0067 (approx)
P(X = 1) = 0.0337 (approx)
P(X ≥ 2) = 0.9596 (approx)
P(X ≤ 1) = 0.0404 (approx)
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You can refer to the top right for the correct answers for the both questions respectively, i have tried to no avail.
If the size of the matrix B is 4 × 5, the size of the matrix D is 4 × 2 and the order of the matrix E is 5 × 4, then the order of the matrix D^T × (BE) is:
Answer:
The order of the matrix D^T × (BE) is 2 × 4
Step-by-step explanation:
In the multiplication of matrix, the number of columns in the first matrix must be equal to the number of rows of the second matrix. The resulting matrix from the product will have the same number of rows as the first matrix and the same number of column as the second matrix. For example, given Matrix A of order (m × n) and Matrix Z of order ( n × k), the product of the two matrices will give a matrix ( say Y) of order (m × k).
AZ = Y
(m x n)(n x k) = (m x k)
Now, From the question,
The order of Matrix B is 4 × 5,
the order of the matrix D is 4 × 2
and the order of the matrix E is 5 × 4.
To determine the order of the matrix D^T × (BE)
First, will find the order of (BE)
Order of BE = (4 × 5) (5 × 4)
Order of BE = (4 × 4)
Hence, the order of matrix (BE) is 4 × 4.
Now, we will determine the order of matrix D^T
D^T means the transpose of matrix D.
The transpose of a matrix is defined as a new matrix whose rows are the columns of the original matrix and the columns of the new matrix are the rows of the original matrix. This means given Matrix A of order (m × n), the transpose of Matrix A (A^T) will have an order of (n × m).
The order of the matrix D is 4 × 2
Hence, the order of the transpose of matrix D (D^T) will be 2 × 4
Now, the order of the matrix D^T × (BE) will be
Order of the matrix D^T × (BE) = (2 × 4) × (4 × 4)
Order of the matrix D^T × (BE) = 2 × 4
Hence, the order of the matrix D^T × (BE) is 2 × 4.
Find the surface area of the triangular prism.
WILL GIVE BRAINLIEST!!
Answer:
462.99
Step-by-step explanation:
suppose abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. assume the travel times are normally distributed with a standard deviation of 10.3 minutes. determine the travel time x such that 17.36% of the 60 days have a travel time that is at least x
The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.
We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.
Total work days to work = 60 days
The travel mean time = 35.6
Standard deviation = 10.3
For normal distribution,
P(X < A) = P(Z < (A - mean)/standard deviation)
P(X > x) = 0.2946
P(X < x) = 1 - 0.2946 = 0.7054
P(Z < (x - 35.6)/10.3) = 0.7054
Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.
(x - 35.6)/10.3 = 0.54
x = 41.162 min
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for students who earned a score of 20 or lower on the quiz, the cumulative frequency is and the relative cumulative frequency is . a.) 16; 32% b.) 9; 18% c.) 38; 76% d.) 29; 58%
The cumulative frequency and relative cumulative frequency for students who earned a score of 20 or lower on the quiz is 29; 58%. (option d)
Cumulative frequency refers to the running total of frequencies, or the sum of frequencies up to a certain point. In this case, the cumulative frequency is the number of students who scored 20 or lower on the quiz.
Relative cumulative frequency, on the other hand, expresses the cumulative frequency as a percentage of the total number of students in the sample. To find the relative cumulative frequency, we divide the cumulative frequency by the total number of students and multiply by 100.
Therefore, for students who scored 20 or lower on the quiz, the cumulative frequency is 29 and the relative cumulative frequency is 58% (29/50 * 100).
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Answer: 38, 76%
Step-by-step explanation:
Recall that for cumulative frequency we add up all the values that fall above or below a given bin of data. So, if we want all scores less than 20 it should be the first four bins with a total of:
8 plus 8 plus 13 plus 9 equals 38
To get the relative frequency we take the total in the bins for scores of 20 and lower divided by the total of all bins:
38 over 50 equals 0.76 equals 76 percent sign
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Answer: 8. 3^4+n^4, 9. 7^3+m^4, and 10. s+2t^3.
Step-by-step explanation:
Simplify:
4n + 6 - (5n+3)
Answer:
-n+3
Step-by-step explanation:
Subtract the 5n and 3
Kelli wants to sew trim around the sleeves and hem of a dance costume. She needs a piece of trim that is 8 1/8 inches long for the sleeves and a piece that is 40 5/8 inches long for the hem. If the package contains 5 feet of trim, how much trim will she have left after making the costume.
Answer:
0.9375 feet of trim
Step-by-step explanation:
Step 1
We find the total number of inches used
We are told : She needs a piece of trim that is 8 1/8 inches long for the sleeves and a piece that is 40 5/8 inches long for the hem.
Hence, the total = (8 1/8 + 40 5/8)inches = 48 3/4
= 48.75 inches
Step 2
We convert to feet
1 inch = 0.0833333 feet
48.75 inches = x
Cross Multiply = 48.75 × 0.00833333 feet
= 4.0625 feet
Hence, she would use 4.0625 feet of ribbon
If the package contains 5 feet of trim, how much trim will she have left after making the costume.
This is calculated as:
5 feet - 4.0625 feet
= 0.9375 feet of trim
If a calculator is sold for R120. 0. What will the new price of a calculator be if the
original selling price is Increased in a ratio of 5:3
If a calculator is sold for R120 and the original selling price is Increased in a ratio of 5:3, the new price of the calculator will be R200.
Let the original selling price of the calculator be x.The price it is sold for is R120.
Then 120/x = 5/3x = (3 × 120)/5x = 72
New price of the calculator = (5/3) × 72= 120Therefore, the new price of the calculator is R200.
To determine the new price of the calculator after an increase in the ratio of 5:3, we can use the following steps:
Calculate the multiplier for the ratio increase:
multiplier = (new ratio) / (old ratio)
multiplier = 5/3
Multiply the original selling price by the multiplier to get the new price:
new price = original selling price * multiplier
new price = R120.0 * (5/3)
new price = 200.0 rupees.
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Tianna's Urbanwear advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the
original price; and shoes are 1/4 off the original price.
A pair of pants usually sells for $33.00. What is the sale price of a pair of pants?
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Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.) 1- 1/5 + 1/25 + 1/125 +
The infinite geometric series 1 - 1/5 + 1/25 - 1/125 + ... is convergent and the sum of this infinite geometric series is 5/6.
To determine whether the infinite geometric series is convergent or divergent, and to find its sum if convergent, we'll consider the given series: 1 - 1/5 + 1/25 - 1/125 + ...
Step 1: Identify the common ratio (r).
In a geometric series, each term is a constant multiple of the previous term.
In this case, we can see that the common ratio is -1/5 because each term is obtained by multiplying the previous term by -1/5.
Step 2: Determine convergence or divergence.
An infinite geometric series converges if the absolute value of the common ratio (|r|) is less than 1, and diverges if |r| is greater than or equal to 1.
Since |-1/5| = 1/5 < 1, the series is convergent.
Step 3: Calculate the sum.
For a convergent geometric series, the sum can be found using the formula:
Sum = a / (1 - r)
where 'a' is the first term and 'r' is the common ratio.
In this case, a = 1 and r = -1/5, so:
Sum = 1 / (1 - (-1/5))
Sum = 1 / (1 + 1/5)
Sum = 1 / (6/5)
Sum = 5/6
Therefore, the sum of the infinite geometric series 1 - 1/5 + 1/25 - 1/125 + ... is 5/6.
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Is 16 a factor of 8?
No, number 16 is not representing as a factor of 8. The given statement is false as it is a multiple of 8.
As given in the question,
Given number is equal to 8,
Given factor is equal to 16:
Factors are those numbers which divides the given numbers without leaving any remainder. It exactly divides the given original number.
Here given factor 16 does not divides the given number 8.
Instead 8 divides the the number 16.
here '8' is the factor of the number 16.
And 16 represents as a multiple of 8.
Therefore, the given statement is false and 16 is not considered as a factor of 8 instead it is a multiple of 8.
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Find sin(a)
(Picture)
Answer:
Sine of A should be 5/13
Step-by-step explanation:
Hope this Helped
What is the answer please help me TEST TOMORROW
Step-by-step explanation:
THEORETICAL chance of orange, using a fair spinner ...there is two orange sections out of a total of 6 ....so the theoretical chance of orange is 2/6 = 1/3
Her EXPERIMENTAL chance of orange is 13 orange out of 35 tries = 13/35
Please explain in detail the utilization of Thematic Analysis in
a Qualitative Descriptive Study Design.
Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.
In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.
Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.
In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
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Please help me before I fail... I really need some help
Answer:
sin 61 degrees = x/55
55 * sin 61 degrees = x
x is approximately 48.1 if I did the math right
Step-by-step explanation:
hope it helps! gl
Between a bar graph and a line graph, which type of graph would be best to compare the test scores?
Data on fifth-grade test scores (reading and mathematics) for 412 school districts in California yield Y
ˉ
=659.1 and standard deviation s Y
=19.9. The 95% confidence interval for the mean test score in the population is । 1. (Round your responses to two decimal places.)
Answer:
The confidence interval is (657.18, 661.02)
or , CI = 659.1 ± 1.922
Step-by-step explanation:
We have to ind the 95% confidence interval,
Mean = Y = 659.1
Standard Deviation = s(Y) = 19.9
Confidence level = 95%
Alpha value = (1 - 0.95)/2
Alpha value = 0.025
So,
This gives a z value of,
z = - 1.96
Now, there are 412 districts so, n = 412
so,
The upper limit is,
Upper limit = UL = Y + z(s(Y))/sqrt(n)
\(UL = Upper limit = Y + z(s(Y))/\sqrt{n}\\UL = 659.1 + (1.96)(19.9)/|sqrt(412)\\UL = 661.02\)
Lower limit is,
LL = Y - z(s(Y))/sqrt(n)
\(LL = 659.1 - (1.96)(19.9)/\sqrt{412}\\LL = 657.18\)
Hence the confidence interval is (657.18, 661.02)
HELPPPP SOMEONE I need help
Answer:
see explanation
Step-by-step explanation:
(a)
To evaluate f(5) substitute x = 5 into f(x), that is
f(5) = 2(5) - 1 = 10 - 1 = 9
(b)
To evaluate g(x - 2) substitute x = x - 2 into g(x), that is
g(x - 2)
= (x - 2)² + x - 2 + 1 ← expand (x - 2)² using FOIL
= x² - 4x + 4 + x - 2 + 1 ← collect like terms
= x² - 3x + 3
Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.. Her budget is $85. Describe the constraints.
She can order a maximum of washcloths or bath towels.
Given:
The total cost of the order is
\(T=6b+2w\)
where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.
Her budget is $85.
To find:
The constraints, so that she can order a maximum of washcloths or bath towels.
Solution:
We have,
\(T=6b+2w\)
Her budget is $85. So, total cost is less than or equal to 85.
\(6b+2w\leq 85\) ...(i)
For maximum number of bath towels, the number of wash cloths is 0.
\(6b+2(0)\leq 85\)
\(6b\leq 85\)
Divide both sides by 6.
\(b\leq \dfrac{85}{6}\)
\(b\leq 14.167\)
For maximum number of wash cloths, the number of bath towels is 0.
\(6(0)+2w\leq 85\)
\(2w\leq 85\)
Divide both sides by 2.
\(w\leq \dfrac{85}{2}\)
\(w\leq 42.5\)
Therefore, the required constraints for maximum of washcloths or bath towels are \(w\leq 42.5\) and \(b\leq 14.167\) respectively.
2. What value of x makes the equation 4 - 3x = 19 true?
Answer:
x = -5
Step-by-step explanation:
If you want the value of x and it should be true we first need to find the value of x
4 - 3x = 19
-3x = 19 - 4
-3x = 15
x = 15/-3
x = -5
Sandra saves 9% of her salary for retirement. this year her salary was $3,000 more than in the previous year, and she saved $4,050. what was her salary in the previous year?
Answer:
She earned $42,000 in the previous year
Step-by-step explanation:
9% can be rewritten as 0.09
0.09x is 4050
divide both sides by 0.09
0.09x becomes x
4050 becomes 45,000
then we subtract 3,000 from 45,000 to find the previous years salary
simply this: -12 - w + 20
Answer: -w + 8
Step-by-step explanation:
To simplify this expression, we will combine like terms. In other words, we will combine any terms that have the same variable and power.
Here, that is -12 and 20.
-12 + 20 - w = 8 - w
Next, we usually arrange an expression by the degrees of the individual terms.
-w + 8
A quick quiz consists of 4 multiple choice problems, each of which has 6 answers, only one of which is correct. If you make random guesses on all 4 problems (a) What is the probability that all 4 of your answers are incorrect? (use four decimals) answer: (b) What is the probability that all 4 of your answers are correct? (use four decimals) answer:
(a) The probability that all 4 of your answers are incorrect is 0.4823.
The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).
(b) The probability that all 4 of your answers are correct is 0.0008.
The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).
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A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
Length of one of the shorter congruent side is: 6 cm
Step-by-step explanation:
In order to find the length of congruent sides we have to solve the system of equations
Given systems of equation is:
y = x + 2
2x + 3y = 36
Putting y = x+2 in second equation
\(2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6\)
As we know that x represents the shorter side, the length of short side is: 6 cm
Hence,
Length of one of the shorter congruent side is: 6 cm