Answer:
Oc> 190.29
Step-by-step explanation:
3. A function can have zero to many parameters, and it can return this many values.a. zero to manyb. noc. only oned. a maximum of tene. None of these
A function can have zero to many parameters, and it can return only one (option c).
In mathematics, a function is a rule that maps each element from one set, called the domain, to a unique element in another set, called the range.
The number of parameters a function can take determines the number of arguments required to call the function.
For instance, a function f(x) takes one parameter, and it requires one argument to be called.
On the other hand, a function g(x,y,z) takes three parameters, and it requires three arguments to be called. However, a function h() takes no parameters and does not require any argument to be called.
Hence the correct option is (c).
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x + 3(2x - 5) = 4x – 12
Answer:
X is 9
X+6x-15=4x+12
3x-15=12
3x=27
x=9
SO x is 9
Answer:
x=9
Step-by-step explanation:
x + 3(2x - 5) = 4x – 12
distrubute left side
3 times 2x; 3 times -5
x+6x-15=4x-12
add like terms
x+6x
7x-15=4x-12
get all variables on the same side
7x-15=4x-12
-4x -4x
3x-15=12
add 15 to both sides
3x-15=12
+15 +15
3x=27
divide by 3 on both sides
3x/3=27/3
x=9
A 2014 poll by Pew Research Center surveyed 1821 Americans and found that 1147 of the people surveyed favored legalizing marijuana. Construct and interpret a 92% confidence interval for the true population proportion of Americans who support legalizing marijuana, accurate to 2 decimal places.
A.92% of samples will give a population proportion estimate of between .61 and .65
B. We are 92% confident that the true population proportion of Americans who support legalizing marijuana is between .61 and .65
C. We are 92% confident that between 60 and 66% of Americans support legalizing marijuanaD. We are 92% confident that the true population proportion of Americans that support legalizing marijuana is between .60 and .66 None of the above
We are 92% confident that the true population proportion of Americans who support legalizing marijuana is between 0.61 and 0.65. Therefore, option B. is correct.
To construct a 92% confidence interval for the true population proportion of Americans who support legalizing marijuana, we need to follow these steps:
1. Calculate the sample proportion (p):
p = (number of people in favor) / (total number surveyed)
= 1147 / 1821 ≈ 0.6298
2. Determine the critical value (z*) for a 92% confidence interval using a standard normal (z) table or calculator. In this case, z* ≈ 1.75.
3. Calculate the margin of error (ME):
ME \(=z^{*} \times \sqrt{\frac{p \times(1-p)}{n}}\)
≈ \(1.75 \times \sqrt{[(0.6298 \times (1 - 0.6298)) / 1821]}\) ≈ 0.0198
4. Construct the confidence interval:
Lower bound = p - ME ≈ 0.6298 - 0.0198 ≈ 0.61
Upper bound = p + ME ≈ 0.6298 + 0.0198 ≈ 0.65
So, the 92% confidence interval for the true population proportion of Americans who support legalizing marijuana is between 0.61 and 0.65 (rounded to 2 decimal places).
Answer: B. We are 92% confident that the true population proportion of Americans who support legalizing marijuana is between .61 and .65.
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Make a the subject of relation in a(n-m)=t.
Answer:
the answer is t/(n-m)
Step-by-step explanation:
a(n-m)=t
divide both sides by (n-m) to make a the subject of formula
a(n-m)/(n-m)=t/n-m)
a=t/(n-m)
2. A fish tank that holds 80 gallons of water is 55% full. Create a line diagram (like the one
above) to represent this situation.
a. How many gallons are in the tank now? How many more gallons are needed to
fill the tank?
The tank currently contains 44 gallons of water, and 36 more gallons are needed to fill it completely.
How to calculate many more gallons are needed to fill the tanka. The fish tank that holds 80 gallons of water is 55% full, which means it contains:
44 gallons = 80 gallons × 0.55
b. To find out how many more gallons are needed to fill the tank, we can subtract the current amount of water in the tank from its full capacity:
80 gallons - 44 gallons = 36 gallons
Therefore, the tank currently contains 44 gallons of water, and 36 more gallons are needed to fill it completely.
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Why must a given measurement always be reported to the correct number of significant figures.
Each of the measurements made must contain the correct number of significant figures, in order to provide more accurate values.
What are Significant Figures used for in a Measurement?Significant figures, as their name mentions, are those figures that have meaning or validity for the type of measurement that is made. Although in large elements they may not be too necessary, in small elements they are crucial.
Due to the aforementioned, if the measurements are being taken from elements of small sizes, it is possible that all the significant figures available are required, so that the measurement and subsequent calculations are as accurate as possible.
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Suppose you borrowed $2,000 at a rate of 9.0% and must repay it in 4 equal installments at the end of each of the next 4 years. How large would your payments be?
Select the correct answer.
a. $614.04
b. $620.64
c. $610.74
d. $623.94
e. $617.34
An annual payment is found approximately $617.34. The correct option is e.. $617.34.
To find the size of your payments, you can use the formula for calculating the equal installments on a loan.
First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.
Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.
Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.
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i’m lost on this help would be nice
Answer:
3x - 4 = 14
+4. +4
3x = 18
÷3. ÷3
x = 6
A random sample of 30 soil specimens was obtained from the nursery. The percentage of organic matter in the soil was determined for each specimen, resulting in the accompanying data: 1. 10, 5. 09, 0. 97, 1. 59, 4. 60, 0. 32, 0. 55, 1. 45, 0. 14, 4. 47, 1. 20, 3. 50, 5. 02, 04. 67, 5. 22, 3. 69, 3. 98, 3. 17, 3. 03, 02. 21, 0. 69, 4. 47, 3. 31, 1. 17, 0. 76, 1. 17, 1. 57, 2. 62, 1. 66, 2. 05 the sample mean of these data is 2. 515 and the sample standard deviation is 1. 630. Identify the null distribution
The null distribution in this case is a normal distribution with the same mean as the sample mean (2.515) and the same standard deviation as the sample standard deviation (1.630).
To identify the null distribution in this scenario, we need to determine the appropriate distribution that represents the population from which the soil specimen data was sampled.
In this case, we are given a sample of 30 soil specimens, and the variable of interest is the percentage of organic matter in the soil. The sample mean is 2.515 and the sample standard deviation is 1.630.
Based on the given information, we can make use of the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean will approach a normal distribution, regardless of the shape of the population distribution.
Since the sample size of 30 is reasonably large, we can assume that the sample mean of the percentage of organic matter in the soil follows a normal distribution.
Therefore, the null distribution in this case is a normal distribution with the same mean as the sample mean (2.515) and the same standard deviation as the sample standard deviation (1.630).
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What is the equation for this? please help!!
Answer:
the equation is y=x^2+8
4.
What is the length of the fence's shadow?
3.
How tall is the goal post?
Answer:
3: 23 feet and 4 inches wide
If the following data were transformed, and points with the coordinates (x.log()) were plotted, what points would be plotted? Round log() to threedecimal places
Answer: It’s D
Step-by-step explanation:
If possible find 2A-3BC given 1 23 A 2 0 1 0 -2 1 B = 2 1 -1 0 [4] - [231] 0 2 C= -2 1
We are given matrices A, B, and C and asked to find the result of the expression 2A - 3BC. The result will be of 2A - 3BC is the matrix: | -4 7|.
To find the result of 2A - 3BC, we first need to perform matrix multiplication. Let's calculate each component of the resulting matrix step by step.
First, we calculate 2A by multiplying each element of matrix A by 2.
2A = 2 * |1 2 3| = |2 4 6|
|0 -2 1| |0 -4 2|
Next, we calculate BC by multiplying matrix B and matrix C.
BC = | 2 1 -1| * |-2 1|
| 0 4 1| | 0 2|
| 4 -1 0| |-2 1|
Performing the matrix multiplication, we get:
BC = | 2 -1|
| -8 6|
| 6 -1|
Finally, we can subtract 3 times the BC matrix from 2A.
2A - 3BC = |2 4 6| - 3 * | 2 -1| = | -4 7|
|0 -4 2| | 32 -9|
| | | 0 1|
Therefore, the result of 2A - 3BC is the matrix: | -4 7|
| 32 -9|
| 0 1|
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An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.
Answer:
173.2 cm²
Step-by-step explanation:
Use the equilateral triangle area formula, A = \(\frac{\sqrt{3}}{4}\)a²
Plug in the side length and solve:
A = \(\frac{\sqrt{3}}{4}\)a²
A = \(\frac{\sqrt{3}}{4}\)(20)²
A = \(\frac{\sqrt{3}}{4}\)(400)
A = 173.2
So, the area of the triangle is approximately 173.2 cm²
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 ≤x≤ 8.
Hence the average rate of change, in simplest form is -10 .
What is average rate of change?
The average rate at which one item is changing in relation to another is known as the average rate of change. A method that computes the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.Examples of average rates of change include: 80 km/h is the average speed of a bus. In a lake, fish population growth occurs at a pace of 100 per week.Using the coordinate points from the table ( 4,53) ( 8, 13 )
Substitute the coordinate into the expression
Average rate of change = y₂ - y₁/x₂ - x₁
= 13 - 53/8 - 4
= - 4 0/4 ⇒ -10
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i need help with my homework
Answer:
m = -7
initial value = 27
Step-by-step explanation:
The rate of change is also known as the slope of a line.
To find this do y1-y2/x1-x2 or y2-y1/x2-x1. You can't do rise/run in this case because there is no graph. I will help you with both answers for the first question only, because I think it is better for you to also practice.
The initial value is also when x = 0, therefore the initial value is 27.
The slop is:
27-(-8)/0-5
35/-5
-7
The rate of change, or slope, for the first question is -7.
Answer:
dtjshjghj,fghaf, jkldh
Step-by-step explanation:
dhgljshgja fgjksdfhgjklfshbsjl
i give brainly to answer
Answer:
x = 50º
Step-by-step explanation:
All angles in a triangle have to add up to 180º
Which equation would be best solved by using the Quadratic Formula to find the solutions?
O 3x2 + 4x + 5 = 0
O 4x2 - 81 = 0
O (x + 5)2 – 6 = 0
O 22 + 36 = 0
Answer:
c
Step-by-step explanation:
looks alot easier thna others and more simple to solve a equation tht way
mr. brown just fenced in an area for his dog. he used exactly 36 feet of fencing for the rectangular shaped enclosure. if the length of the enclosure is 11 feet, what is its width? the formula for the perimeter of a rectangle is p
The width of the enclosure is 7 feet.
The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width. Since the length of the enclosure is given as 11 feet and the total length of fencing used is 36 feet,
we can set up an equation:
P = 2L + 2W = 36
Substituting the given value of L, we have:
2(11) + 2W = 36
Simplifying the left side, we get:
22 + 2W = 36
Subtracting 22 from both sides, we get:
2W = 14
Dividing both sides by 2, we get:
W = 7
hence, the width of the enclosure is 7 feet.
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What is the value of the expression 14(3+52÷4)?
Answer: 224
I hope I'm right i'm not good with division so yeh-
The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.
There are two stiff transforms to use:
Vertical movement 7 units to the plus side.reflection along the y = 5 line.The fact that the real domain is the domain of quadratic functions makes it possible to identify the solution set.
How can rigid transformations be used?Thus, we must decide which rigid transformations to apply to f(x) in order to produce g(x). Rigid transformations are transformations applied to geometric loci in the field of Euclidean geometry so that Euclidean distances within the latter are conserved (x).
Following thorough consideration, we come to the conclusion that the two stiff transformations listed below must be used:
Vertical translation 7 units to the plus side.
reflection along the y = 5 line.
The collection of x-values necessary for the function to exist is represented by the solution set. Due to the fact that both functions are quadratic equations, the entire real domain is described by their solutions.
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how do nomenclatures contribute to data integrity and interoperability?
Nomenclatures play a crucial role in ensuring data integrity and interoperability in various fields. They provide a standardized system for naming and classifying entities, which helps maintain consistency in data representation and exchange.
Nomenclatures contribute to data integrity by providing a common language and set of terms that facilitate accurate and unambiguous identification and description of entities.
With standardized nomenclatures, data can be recorded and organized in a consistent manner, reducing the risk of errors, confusion, and inconsistencies that can arise from using different names or classifications for the same entities. This ensures that data remains reliable and trustworthy throughout its lifecycle.
Furthermore, nomenclatures enhance interoperability by enabling seamless data exchange and integration between different systems or databases. By adopting shared nomenclatures, organizations can align their data structures and formats, allowing for easier data mapping and transformation.
This promotes efficient data interoperability, enabling the seamless flow of information across systems, applications, and organizations. It also facilitates data analysis, research, and collaboration, as researchers and practitioners can easily understand and interpret data from different sources.
In summary, nomenclatures contribute to data integrity by promoting consistency and accuracy in data representation, while also enhancing interoperability by enabling effective data exchange and integration. By using standardized naming and classification systems, data can be more easily understood, shared, and utilized, leading to improved data quality, reliability, and compatibility.
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Question in pic help plz
no i wont help u (⌐■_■)
quadratic equation y=(x+4)²+3
The graph of the quadratic function is plotted, in which Vertex (h,k) = (-4,3).
Explain about the quadratic function:In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the formula y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero.
Given quadratic function:
y = (x+4)²+3
Now, the equation in vertex form is:
y = a(x - h)² + k
(h,k) are the vertex.
On comparing:
a = 1, h = -4, and k = 3
Vertex (h,k) = (-4,3)
Decide on a number of points along the parabola, making sure to get points on each side of the parabola and replacing x with both positive and negative numbers.
The ideal mirror image is: y = (x+4)²+3
x = 0, y = 19
x = 1, y = 28
x = 2, y = 39
x = -4, y = 3
Plot the vertex together with the points you choose. With the vertex serving as the minimum point, draw a parabola (curve) it through points.
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Complete question:
Given quadratic equation y=(x+4)²+3. Plot the graph.
Given that ∠3≅∠5 .
Which theorem proves that d∥e?
alternate exterior angles theorem
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
alternate interior angles theorem
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
From the given figure ∠3≅∠5.
What are alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
From the given figure, 46° + ∠3 =180°
⇒ ∠3 =134°
∠3 = ∠5 =134° (alternate interior angles)
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
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This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for π
If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.
To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).
The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:
C = πr = π(10) = 31.4 inches.
The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:
P = 3s = 3(20) = 60 inches
Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:
Perimeter = C + P = 31.4 + 60 = 91.4 inches.
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Complete Question
This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.
You can use 3.14 as an approximation for π. help i don't know it.
the following stem-and-leaf plot shows scores on a statistics final exam. find the number of outliers. 2 00 3 468 4 357 5 01677 6 235 7 6899 8 233569999 9 01268 10 0
In the given stem-and-leaf plot, we can conclude that there are at least 5 outliers
The number of outliers in the given stem-and-leaf plot can be determined by identifying values that are significantly higher or lower than the majority of the data.
To find the number of outliers in the stem-and-leaf plot, we need to analyze the data distribution and identify values that deviate significantly from the rest of the scores.
Looking at the stem-and-leaf plot, we observe that the majority of the scores are concentrated between 20 and 90. The numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10 represent the tens digit of the scores, while the leaves represent the ones digit.
Upon examining the plot, we notice that there are a few values that stand out from the rest. These values are 00, 01677, 6899, 233569999, and 01268. Outliers are typically defined as values that fall outside the "typical" range of the data, and these values appear to deviate significantly from the majority of the scores.
To determine the exact number of outliers, we need to apply specific criteria. One common method is to use the 1.5 × IQR (interquartile range) rule. The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the data. Any values below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR are considered outliers.
In this case, we don't have the exact raw data to calculate the quartiles and IQR. However, based on visual inspection of the stem-and-leaf plot, we can still identify the values mentioned earlier as outliers due to their significant deviation from the majority of the scores.
Therefore, in the given stem-and-leaf plot, we can conclude that there are at least 5 outliers
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All of the options are correct. Most economic data can be modeled as a higher-order ARMA(p, q) model. Spikes in the autocorrelation function indicate autoregressive terms. Spikes in the partial-autocorrelation function indicate moving-average terms. For an ARMA(p, q) model, both the autocorrelation and partial-autocorrelation functions show abrupt stops.
Actually, not all of the options are correct. The statement "Most economic data can be modeled as a higher-order ARMA(p, q) model" is not entirely accurate. While it is true that many economic time series exhibit some degree of autocorrelation and can be modeled using ARMA models, not all economic data can be accurately represented by these models.
In fact, some time series may require more complex models such as state-space models, VAR models, or GARCH models to capture the underlying dynamics.
Regarding the other statements:
Spikes in the autocorrelation function do indicate autoregressive terms, as autocorrelation measures the correlation between a time series and its past values.
Spikes in the partial-autocorrelation function do indicate moving-average terms, as partial-autocorrelation measures the correlation between a time series and its past values, controlling for the effects of intermediate lags.
For an ARMA(p, q) model, the autocorrelation function should show an abrupt stop at lag p, indicating the presence of p autoregressive terms. The partial-autocorrelation function should show an abrupt stop at lag q, indicating the presence of q moving-average terms.
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HELP PLEASE!
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 3(x + 9)2(x - 93
A) 4, multiplicity 1; -9, multiplicity 3; 9, multiplicity 3
B)4, multiplicity 1; 9, multiplicity 1; -9, multiplicity 1
C)-9, multiplicity 3; 9, multiplicity 2
D)-9, multiplicity 2; 9, multiplicity 3
Solve the equation. 15 = 2w – 5
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
Answer:
w=10
Step-by-step explanation:
you would first add 5 on both sides. Then you would get 20=2w then you would divide 2 by both sides. w=10