Answer:
2) Yes, because every input (x) has an individual output (y)
6) No, because there is an input that has 2 outputs
8) No, because there is an input that has 2 outputs
11) (I am unsure, but I think it is) No, there is no inputs
12) No, because there is an input that has 2 outputs
Step-by-step explanation:
For functions, every input needs to have only one output
a triangle ABC has the perimeter of 59cm. AB is twice the length of AC and 6cm longer than BC. find the length of AB.
The length of AB is 26cm.
What is the perimeter of a triangle?
The perimeter of a triangle is the sum of the lengths of all its sides.
Let's start by using variables to represent the lengths of the sides of the triangle:
AC = x
AB = 2x
BC = (2x - 6)
We know that the perimeter of the triangle is 59cm, so we can write an equation:
AC + AB + BC = 59
Substituting in the expressions we have for each side, we get:
x + 2x + (2x - 6) = 59
Simplifying the equation, we get:
5x - 6 = 59
Adding 6 to both sides, we get:
5x = 65
Dividing both sides by 5, we get:
x = 13
So we know that AC = 13. Using the expression we have for AB, we get:
AB = 2x = 2(13) = 26
Hence, the length of AB is 26cm.
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Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
Answer:
4096
Step-by-step explanation:
You do the equation 4^6
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Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
\(\huge\mathbb\skyblue{Solution:}\)
do this equation 4^6 ^^
So the Answer is 4096
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4096 rabbits will Jocelyn have in 5years.
᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽
If you have any questions, feel free to ask me <33
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Assume a continuous random variable X follows a uniform distribution on [1, 4]. So the probability density function (pdf) of X can be written as,
f(x) = 1/k, 1 ≤ x ≤ 4.
(Give answers with 3 digits after decimal)
a) [1pt] Find the value of k.
Submit Answer Tries 0/99
b) [1pt] What is the probability P(X ≥ 3.5)?
Submit Answer Tries 0/99
c) [2pts] What is the expected value of X?
Submit Answer Tries 0/99
d) [2pts] What is the variance of X?
Submit Answer Tries 0/99
the answers are:a) k = 3b) P(X ≥ 3.5) ≈ 0.167c) E(X) = 2.5d) Var(X) ≈ 0.778
a) Calculation of k:For the uniform distribution on [a, b], the probability density function is given as:f(x) = 1/(b − a) for a ≤ x ≤ bHere, a = 1, b = 4Thus, f(x) = 1/(4 − 1) = 1/3Therefore, the value of k = 3.
b) Calculation of P(X ≥ 3.5):P(X ≥ 3.5) = ∫[3.5,4] f(x) dx∫[3.5,4] 1/3 dx = [x/3]3.5 to 4 = (4/3 − 7/6) = 1/6 ≈ 0.167
c)
Calculation of the expected value of X:
We know that the expected value of X is given as:E(X) = ∫[1,4] xf(x) dx∫[1,4] x(1/3) dx = [x^2/6]1 to 4 = (16/6 − 1/6) = 5/2 = 2.5d)
Calculation of the variance of X:We know that the variance of X is given as:
Var(X) = ∫[1,4] (x − E(X))^2f(x) dx= ∫[1,4] (x − 2.5)^2(1/3) dx= [x^3/9 − 5x^2/6 + 25x/18]1 to 4= (64/9 − 40/3 + 100/18 − 1/9)= 7/9 ≈ 0.778Thus, the answers are:a) k = 3b) P(X ≥ 3.5) ≈ 0.167c) E(X) = 2.5d) Var(X) ≈ 0.778
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Which of the following figures does not have a line of symmetry?
Answer:
it should be C
Acing the first test Here are the scores of Mrs. Liao's students on their first statistics test: 93 93 87.5 91 94.5 72 96 95 93.5 93.5 73 82 45 88 80 85.5 87.5 81 78 86 89 92 91 98 85 82.5 88 94.5 43 (a) Make a boxplot to display the data. (b) How did the students do on Mrs. Liao's first test? Use the graph from part (a) to help justify your answer.
The result of the plot reveals that the students had a good performance in the test.
Given the data :
43, 45, 72, 73, 78, 80, 81, 82, 82.5, 85, 85.5, 86, 87.5, 87.5, 88, 88, 89, 91, 91, 92, 93, 93, 93.5, 93.5, 94.5, 94.5, 95, 96, 98
The box plot of the distribution can be obtained using technology such as excel or a boxplot maker.
Using technology, the picture of the boxplot obtained is attached below :
Using the box plot, we could infer that the students performed very well as the low scores(43, and 45) are outliers. The median score of 88 shows that the students performed very well on average. with 50% of the students scoring 88 and above. The lower quartile value of 71, depicts that 75% of the students scored 71 and above which again is very impressive. Without the Outliers, the minimum score obtained is 71 which also supports the fact that the students did very well.Learn more : https://brainly.com/question/12992903?referrer=searchResults
Use the Divergence Theorem to compute the net outward flux of the field F=<-x, 3y, 2z> across the surface S, where S is the boundary of the tetrahedron in the first octant formed by the plane x+y+z=1
The net outward flux across the boundary of the tetrahedron is: 5, using the concept of gradient of function.
What is the gradient of a function in a vector field?The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).
Given vector field:
F = ( -x, 3y, 2 z )
Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )
Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]
Δ . F = - 1 + 3 + 2
Δ . F = 4
According to divergence theorem;
Flux = ∫∫∫ Δ . (F) dv
x+y+z = 1; so, 1st octant
x from 0 to 1y from 0 to 1 -xz from 0 to 1-x-y∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx
= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) dy dx
= 5
Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: 5
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Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of people who will respond favorably to the survey?
Enter the correct answers in the boxes.
Least number of people:
Greatest number of people:
BIG POINTS ILL MARK YOU IF THE ANSWER IS RIGHT
Answer:
Step-by-step explanation:
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Find each percent change. State whether it is an increase or decrease. From 112 to 140the numbers are 112and 140
What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2
Answer:
2 or 8
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following number;
183184
Taking the square root, we have;
√183184 = 428
The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.
look figure and give exact answer.
Answer:
Those two lines are equal
what conditions are required for the inference, part b, to be valid? are these conditions reasonably satisfied?
For the inference in part b to be valid, the conditions required are reasonable satisfaction.
To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.
However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.
These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.
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Kevin is building a box with a lid out of plywood. The box has a length of 24 inches and a width of 1 yard. The height of the box will be 4 feet. Plywood costs $0. 50 per square foot. Find the cost of the plywood Kevin needs for the box
Based on the mentioned informations the cost of the plywood Kevin needs for the box is calculated to be $30.
First, we need to convert the dimensions of the box to the same unit of measurement. Since 1 yard is equal to 3 feet, the width of the box is:
1 yard = 3 feet
So, the dimensions of the box are:
Length = 24 inches = 2 feet
Width = 3 feet
Height = 4 feet
To find the surface area of the box, we need to add up the area of all six sides. The area of the top and bottom of the box is:
2 x Length x Width = 2 x 2 ft x 3 ft = 12 square feet
The area of the four sides of the box is:
4 x Height x Width = 4 x 4 ft x 3 ft = 48 square feet
So, the total surface area of the box is:
12 square feet + 48 square feet = 60 square feet
Now, we can find the cost of the plywood needed for the box:
Cost of plywood = Surface area x Cost per square foot
Cost of plywood = 60 square feet x $0.50/square foot
Cost of plywood = $30
Therefore, the cost of the plywood Kevin needs for the box is $30.
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can you help me graph -3y<2x+9
Answer:
Step-by-step explanation:
A band marches in the African American Day Parade in New York City. The band marches 800 meters every 15 minutes. At this rate, how many kilometers does the band march in 1 hour?
The band will march 3.2 kilometers at the same rate.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
800 meters for every 15 minutes
800 meters ⇔ 15 minutes
Multiply 4 by both sides
3200 meters ⇔ 60 minutes
Now,
60 minutes = 1 hour
And,
Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.
So,
1 hour ⇔ 3.2-kilometer.
Hence "The band will march 3.2 kilometers at the same rate".
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A factory produced 5249789 bulbs in the year 2009 and 624986 bulbs in the year 2010. in which year the factory produced more bulbs and by how much?
In the year 2009, the factory produced 5,249,789 bulbs, while in the year 2010, it produced 624,986 bulbs. The factory produced more bulbs in 2009, with a difference of 4,624,803 bulbs.
To determine in which year the factory produced more bulbs and by how much, we compare the number of bulbs produced in 2009 and 2010. In 2009, the factory produced 5,249,789 bulbs, whereas in 2010, it produced 624,986 bulbs.
To calculate the difference, we subtract the number of bulbs produced in 2010 from the number produced in 2009: 5,249,789 - 624,986 = 4,624,803.
Therefore, the factory produced 4,624,803 more bulbs in 2009 compared to 2010. This signifies that the production output was significantly higher in 2009, indicating a more productive year for the factory in terms of bulb production.
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help me plssssssssssssssssss
Ensuring that data is collected the same way each time it is collected is an example of:_______.
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
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1. (x + 2)(2x + 3) =
???? Help lol
Answer:
\(2x^2+7x+6\)
Step-by-step explanation:
Use the FOIL method to multiply these two expressions:
\((x+2)(2x+3)\\x(2x)+2(2x)+3(x)+2(3)\\2x^2+4x+3x+6\\2x^2+7x+6\)
T/F a correlation simply means that two or more variables are present together.
A correlation does not simply mean that two or more variables are present together. The statement is false.
Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.
Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.
Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.
It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.
To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.
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Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
a) What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL;
Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.
a) The value of x is 155.56 mm (rounded to two decimal places).
b) The value of R is 4.44 mm (rounded to two decimal places).
c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:
UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)
The Lower Control Limit (LCL) for the diameter is calculated as:
LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)
d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:
UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)
The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.
e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:
UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)
LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)
Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.
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The complete question is:
What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5
The length of a gift box is 4 times its height. If its lenth is 16cm and its volume is 896 cm what is the width of the gift box
Answer:
14cm
Step-by-step explanation:
l is length, h is height, and w is width.
We can construct the following equations:
l = 4h
volume = lwh
Given the length is 16cm, plugging the value into the first equation gives us a height of 4cm.
Based on the second equation, if we plug in the given length and volume values as well as our height value, we get:
896 = 16*4*w
w = 14cm.
1 and 3/4 + 1 and 5/4
Answer:
the answer would be 4
Step-by-step explanation:
hope this helps
Divide.
(5x²+25x-29)÷(x+6)
Your answer should give the quotient and the remainder.
When the polynomials 5x² + 25x - 29 divided by x + 6, we get the quotient = 5x - 5 and the remainder = 1.
Given a polynomial division.
Dividend = 5x² + 25x - 29
Divisor = x + 6
We have to divide this and find the respective quotient and the remainder.
We can divide using long division process.
Consider the first term of the dividend.
5x² = 5x × x
So the first term of the quotient is 5x.
5x (x + 6) = 5x² + 30x
The remainder in the first step is,
5x² + 25x - 29 - (5x² + 30x) = -5x - 29
Now, repeating the process,
-5x = -5 × x
The second terms of the quotient is -5.
-5 (x + 6) = -5x - 30
The remainder is,
-5x - 29 - (-5x - 30) = 1
This can't be divided further since there are no variables.
Hence the quotient is 5x - 5 and the remainder = 1.
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please help!! i will give brainliest! links = report
Answer:
There Will be one cookie left.
Step-by-step explanation:
She is wrong Becuase if you eat 4 cookies there is two left. So if you put it on 5 there would only be 1 left.
Some doctors believe that a person can lose five pounds, on average, in a month by reducing his or her fat intake and by consistently exercising. Suppose weight loss has a normal distribution. Let X = the amount of weight lost, in pounds, by a person in a month. Use a standard deviation of two pounds. X ~ N(5, 2). Fill in the blanks.
a. Suppose a person lost 10 pounds in a month. The z-score when x = 10 pounds is z = 2.5 (verify). This z-score tells you that x = 10 is ________ standard deviations to the ________ (right or left) of the mean _____ (What is the mean?).
Suppose a person lost 10 pounds in a month. This z-score tells you that x = 10 is 2.5 standard deviations to the right of the mean 5 pounds.
To verify that the z-score when x = 10 pounds is z = 2.5, we can use the formula:
z = (x - μ) / σ
where x is the value of the random variable, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we have:
z = (10 - 5) / 2 = 2.5
This confirms that the z-score when x = 10 pounds is z = 2.5.
To determine what the z-score tells us about the location of x = 10 pounds relative to the mean, we can use the definition of a z-score:
z = (x - μ) / σ
Rearranging the formula, we have:
x = μ + zσ
So, when z = 2.5 and σ = 2, we have:
x = μ + 2.5(2) = μ + 5
This tells us that x = 10 pounds is 5 pounds above the mean. Since the z-score is positive, x = 10 pounds is to the right of the mean.
Therefore, the z-score tells us that x = 10 is 2.5 standard deviations to the right of the mean of 5 pounds.
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HELP ASAP PLS WILL GIVE BRAINLIEST
Answer:
SAS because you have two congruent sides surrounding one congruent angle
is it less, greater or equal pls help (will give brainleist)
I WILL GIVE 35 POINTS TO THOSE WHO ANSWER THIS PROBLEM RIGHT NOOOO SCAMS
Using translation concepts, we have that:
4. The type is f(x + k), with k = 3, and a horizontal shift.
5. The type is kf(x), with k = 5 and a vertical stretch.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:
The type is f(x + k), with k = 3, and a horizontal shift.
For graph 5, we have that for each value of x, g(x) = 5f(x), hence:
The type is kf(x), with k = 5 and a vertical stretch.
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