Answer:
The margin of error is multiplied by 1.41, which is 1 divided by the square root of 5.
Step-by-step explanation:
The margin of error is:
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which z is related to the confidence level, \(\sigma\) is the standard deviation of the population and n is the size of the sample.
The margin of error is inverse proportional to the square root of the sample size.
Then
Sample size n:
\(M = z*\frac{\sigma}{\sqrt{n}}\)
Modified(half the sample size):
\(M_{M} = z*\frac{\sigma}{\sqrt{0.5n}}\)
Ratio
\(\frac{M_{M}}{M} = \frac{z*\frac{\sigma}{\sqrt{0.5n}}}{z*\frac{\sigma}{\sqrt{n}}} = \frac{\sqrt{n}}{\sqrt{0.5n}} = \frac{\sqrt{n}}{\sqrt{0.5}*\sqrt{n}} = \frac{1}{\sqrt{0.5}} = 1.41\)
The margin of error is multiplied by 1.41, which is 1 divided by the square root of 5.
Please could you simplify 9/30 but keep it as a fraction.
Answer:
3/10
To simplify a fraction, you need to find the GCF (greatest common factor) between both numbers. The GCF between 9 and 30 is 3
9/10 divide by 3/3 is 3/10
Step-by-step explanation:
Hope this helps!! Mark me brainliest!!
Answer:
\(\frac{3}{10}\)
Hope this helps :)
Step-by-step explanation:
To simplify any fraction, you must first find the GCF of the numerator and denominator
9: 1, 3, 9
30: 1, 2, 3, 5, 6, 10, 15, 30
Both of them are divisible by three so we just have to divide the numerator by three and the denominator by three and we'll find our answer:
9/3 = 3
30/3 = 10
The new fraction is:
\(\frac{3}{10}\)
A car travels from City A to City B at
80km/h. It then travels back from City
B to City A at 100km/h.
What was the average speed?
Answer:
90? maybe... i'm not positive but i hope it helped
Step-by-step explanation:
A zookeeper weighed an African elephant to be 9 × 103 pounds and an African lion to be 4 × 102 pounds. How many times greater is the weight of the elephant than the weight of the lion? A. 2.25x 10 B. 5 C. 13x10 D. 3.6x10
Answer:
2.25 x 10
Step-by-step explanation:
In the above question, we were given :
The weight of the Elephant = 9 × 10³ pounds
The weight of the African Lion = 4 × 10² pounds
We would compare both weights to determine which size is bigger
Weight of Elephant : Weight of Lion
9× 10³ : 4 × 10²
= 9 × 10³/4 × 10²
= 2.25 × 10¹
= 2.25 × 10
The weight of the elephant is 2.25 × 10 times greater than the weight of the lion.
many psychologists consider the distinguishing feature of adolescent thought to be ability to think in terms of ___.
Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.
During adolescence, individuals begin to develop more advanced cognitive abilities, including the capacity for abstract reasoning and hypothetical thinking.Abstract thinking involves understanding and manipulating ideas and concepts that are not directly tied to concrete objects or experiences. It allows adolescents to consider possibilities beyond immediate reality and to engage in complex reasoning, such as formulating and testing hypotheses or contemplating multiple perspectives.Hypothetical thinking, on the other hand, enables adolescents to mentally explore potential scenarios and outcomes. They can consider "what if" situations, contemplate alternative solutions to problems, and weigh the consequences of different choices.These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.
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D.
The skiers could traverse 7,000 feet of rough terrain in 20 minutes. How long would it
take them to traverse 26,950 feet of rough terrain?
Answer:
77 minutes or 1 hour, 17 minutes
Step-by-step explanation:
7000 feet in 20 minutes is 700 feet in 2 minutes or
350 feet per minute
to find the number of minutes to go 26950 feet we can divide that by 350
26950 ÷ 350 = 77 minutes or 1 hour, 17 minutes
solve (1/27)^x=3^-4x+6 1) Rewrite the equation using the same base. 2) Solve for x. Remember to show all work.
PLEASE SHOW ALL WORK FOR BRAINLIEST
The equation can be rewritten using the same base as: 3⁻³ = 3⁻⁴ˣ⁺⁶.
The solution for x is: x = 9/4
How to rewrite the equation using the same base?
An equation is a mathematical statement that indicates that two expressions are equal. It consists of two sides, a left-hand side and a right-hand side, separated by an equal sign (=).
1) To rewrite an equation using the same base, we need to apply the following property of exponents:
(1/27)ˣ = 3⁻⁴ˣ⁺⁶
(1/3³) = 3⁻⁴ˣ⁺⁶
3⁻³ = 3⁻⁴ˣ⁺⁶
2) We can equate the exponents and then solve for x. That is:
3⁻³ = 3⁻⁴ˣ⁺⁶
-3 = -4x + 6
4x = 6 + 3
4x = 9
x = 9/4
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determine each of the following triangles scalene, isoceles, equilateral, cannot be determined
ANSWER
Scalene
Cannot be determined
Isosceles
EXPLANATION
1) This triangle is shown to have three sides of three different lengths. This means that it is a scalene triangle since a scalene triangle is one with sides of three different lengths
2) This triangle has no markings on its sides or on its angles. This means that we cannot determine the type of triangle that it is.
3) The two bottom angles of this triangle are shown to be equal. This implies that the two sides adjacent to the angles shown are also equal in length.
Hence, the triangle is an isosceles triangle since an isosceles triangle is one that has two sides and two sets of angles to be equal.
Identify the domain of the function shown in the graph.
Answer: B
Step-by-step explanation: B
Are percentages proportional?
No, percentages are not inherently proportional.
Proportionality refers to a constant ratio between two quantities, meaning that as one quantity increases or decreases, the other also changes in a predictable and consistent manner.
Percentages, on the other hand, represent a portion or fraction of a whole in relation to 100. They are relative measures that are often used to compare values or express proportions. While percentages can be used to indicate proportions, the relationship between percentages and the underlying quantities they represent is not necessarily proportional.
For example, if you have two quantities, A and B, and you express them as percentages, such as A = 50% and B = 25%, the percentages alone do not indicate a proportional relationship between A and B. In this case, A is twice as large as B, but the percentage values alone do not convey this information.
Proportionality is determined by the relationship between the actual values of the quantities being compared, rather than the percentage representations.
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Suppose the following point is on an exponential function that describes the exponential growth or decline of customers coming to a restaurant if the initial point is (0, 1). Find the exponential function. a) (2, 16) f(x) = b) (-7, 2187) f(x =
To find the exponential function that describes the exponential growth or decline of customers coming to a restaurant.
We can use the general form of an exponential function, which is f(x) = ab^x, where a represents the initial value and b represents the base of the exponential function.
a) Given the initial point (0, 1) and the point (2, 16), we can substitute these values into the exponential function equation. Plugging in x = 0 and f(x) = 1, we get 1 = ab^0, which simplifies to a = 1. Plugging in x = 2 and f(x) = 16, we get 16 = b^2. Taking the square root of both sides, we find b = 4. Therefore, the exponential function is f(x) = 4^x.
b) Given the initial point (0, 1) and the point (-7, 2187), we can follow a similar process. Plugging in x = 0 and f(x) = 1, we have 1 = ab^0, which gives us a = 1. Plugging in x = -7 and f(x) = 2187, we get 2187 = b^(-7). Taking the seventh root of both sides, we find b = 3. Therefore, the exponential function is f(x) = 3^x.
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Evaluate the expression when c=-5.
c^2 – 8c-6
Step-by-step explanation:
when, c=-5.
c^2 – 8c-6 = 5^2 - 8×5 -6
= 25 - 40 -6
= -21
Take the following list of functions and arrange them in ascending order of growth. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) is O(g(n)).
f
1
(n)=n
2.5
f
2
(n)=sqrt(2n)
f
3
(n)=n+10
f
4
(n)=10
n
f
5
(n)=100
n
f
6
(n)=n
2
logn
f
7
(n)=2
sqrt(tog n)
Now take any five of the functions on your list, in the same order as you've listed them, let us call them g
1
, g
2
, g
3
, g
4
and g
5
. Show that:
g
1
=O(g
2
)
g
2
=O(g
3
)
g
3
=O(g
4
)
g
4
=O(g
5
)
For each one, you can either use "Big-Oh Math" like we did in lecture 2 for the polynomial function, or do it by showing that lim
n−[infinity]
(g
i
(n)/g
i+1
(n))<=c for some positive constant c.
g1 = O(g2), g2 = O(g3), g3 = O(g4), and g4 = O(g5) based on the limit calculations.
To arrange the given functions in ascending order of growth:
1. f1(n) = n^2.5
2. f2(n) = √(2n)
3. f3(n) = n + 10
4. f4(n) = 10n
5. f5(n) = 100n
6. f6(n) = n^2 * log(n)
7. f7(n) = 2√(log(n))
Now, let's show that each function gi(n) is O(gi+1(n)) for i = 1 to 4.
1. g1(n) = f1(n) = n^2.5
g2(n) = f2(n) = √(2n)
To show g1(n) = O(g2(n)), we can use Big-Oh notation:
We need to find a positive constant c and a value n0 such that g1(n) ≤ c * g2(n) for all n ≥ n0.
Taking the limit:
lim(n→∞) (g1(n)/g2(n)) = lim(n→∞) [(n^2.5)/(√(2n))]
= lim(n→∞) [√(n^3)/(√(2n))]
= lim(n→∞) [(√(n^3))/(√(2n))]
= lim(n→∞) [√(n^2/2)]
= ∞
Since the limit is infinite, we can conclude that g1(n) = O(g2(n)).
2. g2(n) = f2(n) = √(2n)
g3(n) = f3(n) = n + 10
Similarly, we can show that g2(n) = O(g3(n)):
lim(n→∞) (g2(n)/g3(n)) = lim(n→∞) [(√(2n))/(n + 10)]
= lim(n→∞) [√(2/n)] (ignoring constant term)
= 0
Since the limit is 0, we can conclude that g2(n) = O(g3(n)).
3. g3(n) = f3(n) = n + 10
g4(n) = f4(n) = 10n
Again, we can show that g3(n) = O(g4(n)):
lim(n→∞) (g3(n)/g4(n)) = lim(n→∞) [(n + 10)/(10n)]
= lim(n→∞) [(1/n + 10/n)]
= 0
Therefore, g3(n) = O(g4(n)).
4. g4(n) = f4(n) = 10n
g5(n) = f5(n) = 100n
Once more, we can show that g4(n) = O(g5(n)):
lim(n→∞) (g4(n)/g5(n)) = lim(n→∞) [(10n)/(100n)]
= lim(n→∞) [1/10]
= 1/10 (a positive constant)
Thus, g4(n) = O(g5(n)).
In summary, the functions arranged in ascending order of growth are:
f2(n) = √(2n)
f3(n) = n + 10
f4(n) = 10n
f5(n) = 100
n
f1(n) = n^2.5
f6(n) = n^2 * log(n)
f7(n) = 2√(log(n))
Additionally, we have shown that g1 = O(g2), g2 = O(g3), g3 = O(g4), and g4 = O(g5) based on the limit calculations.
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the sum of two numbers is 17 and their differance is 3
Answer:
10 and 7 are the numbers
Step-by-step explanation:
Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7
The sum of two numbers is 17 and their difference is 3.
Let's define the two numbers as x and y.
Sum of two numbers is 17
x + y = 17
Their difference is 3
x - y = 3
-----------------------------------------
Solve for x
x + y = 17
x = 17 - y
now that we have x, substitued x into x - y = 3
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = -14
y = 7
we have y, 7, now let's substitue that into one of the equations to find x
x - y = 3
x - 7 = 3
x -7 + 7 = 3 +7
x = 10
the numbers are 10 and 7
when you reject the null hypothesis that all population means are equal, why do you plot the sample means on a number line?
We plot the means on a number line to see which means are different. Plotting the sample means on a number line serves to illustrate this when the null hypothesis that all population means are equal is rejected.
This criteria, known as (alpha) in null hypothesis testing, is typically set to.05. The null hypothesis is rejected if there is less than a 5% likelihood that a result as dramatic as the sample result would occur if the null hypothesis were true. The outcome is referred to as statistically significant when this occurs.
Plotting scientific data is used to highlight correlations between variables or to visualize variance, but not all data sets need one. If there are only one or two points, it is simple to look at the numbers directly, and adding a graph adds little to nothing.
hence we plot the means on a number line to see which means are different. Plotting the sample means on a number line serves to illustrate this when the null hypothesis that all population means are equal is rejected.
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-6=b/18 solve this equation
From the given equation, we are to solve for b.
\(\begin{gathered} -6=\frac{b}{18} \\ \text{Cross mult}iply \\ -6\times18=\text{ b} \\ -108=\text{ b} \end{gathered}\)Hence the answer of b is -108.
What is the percentage increase of R20 to R22.
Answer: 10%
Step-by-step explanation: R20 = 100
Therefore R1 = 100%÷ R20 = 5%. The difference between R22 and R20 is R2, therefore the increase in % is R2×5%=10%.
Answer:
+10%
Step-by-step explanation:
i got it right on edge
Graph the function. State the domain and range. Y=10/x-7 - 5
Consider the given function,
\(y=\frac{10}{x+7}-5\)Note that there is a rational part of the function.
And for any rational expression, the denominator can never be zero. So we have to exclude the values for which the denominator becomes zero,
\(\begin{gathered} x+7\ne0 \\ x\ne-7 \end{gathered}\)So the domain of the function will be the set of real numbers excluding the number -7 .
Since 'x' can never reach infinity, it follows that,
\(\begin{gathered} \frac{10}{x+7}\ne0 \\ \frac{10}{x+7}-5\ne0-5 \\ y\ne-5 \end{gathered}\)So the range of the function will be the set of all real numbers excluding -5.
If (2x+3y direct proportional (x+5y) or x direct proportional y
The given expression, (2x + 3y), is directly proportional to (x + 5y) if and only if x is directly proportional to y.
To determine if (2x + 3y) is directly proportional to (x + 5y), we need to analyze the relationship between the variables x and y. If x is directly proportional to y, it means that as x increases or decreases, y will increase or decrease in the same ratio.
Let's assume that x is directly proportional to y. In this case, we can write x = ky, where k is the constant of proportionality. Now we substitute this expression into the given equation:
2(ky) + 3y = (ky) + 5y
Simplifying this equation, we get:
2ky + 3y = ky + 5y
Next, we combine like terms:
(2k + 3)y = (k + 5)y
For this equation to hold true for all values of y, the coefficients of y on both sides of the equation must be equal. Therefore, we can conclude that 2k + 3 = k + 5.
Solving this equation, we find:
2k + 3 = k + 5
k = 2
So, x = 2y, which confirms that x is directly proportional to y.
In summary, the expression (2x + 3y) is directly proportional to (x + 5y) if and only if x is directly proportional to y. This relationship holds true when x can be expressed as a constant multiple of y, with the constant of proportionality equal to 2.
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My bad for the autocorrect
What is the answer :
2/34 = 5/Y ( criss cross algebra)
Answer:
85
Step-by-step explanation:
2 / 34 = 5 / Y
2 x Y = 34 x 5
2 x Y = 170
Y = 170 / 2
Y = 85
A cylindrical container has a diameter of 5 inches and a height of 12 inches. The container will be wrapped and delivered as a gift. What measurement is closest to the amount of wrapping paper needed to cover the container without overlap?
Answer:
Step-by-step explanation:
1. Write your formula
2. Plug it in
3. Solve
these steps will help you out with all of your surface area problems.
Like this
Since it is a diameter you have to divide the diameter by 2. That will get you your radius. Then you write your formula for a cylinder. Your formula is...
V = Bh (Pie is also known as 3.14)
your big (B) is (pie times r squared) Then you add your height.
so your formula will look like this...
V = pie times r squared...
the full formula will be...
V = (3.14) times (2.5 squared) times the height which in this case is (12)
everything together will be...
V = (3.14) (2.5^2) (12)
all you have to do is multiply all of that and you will get your answer.
The answer is...
V = 236 inches ^2 (Just a tip, the ^ sign means to the power of)
Carl, Deb and Ellen formed an equal general partnership.
They contributed the following assets:
Carl: Asset Basis FMV Equipment (all Sec. 1245 gain) $1,000 $3,000 Goodwill 0 5,000 Accounts receivable 0 1,000
Deb: Asset Basis FMV Cash $ 3,000 $3,000 Whiteacre 10,000 4,000 Installment Note 500 2,000
Ellen: Asset Basis FMV Cash $7,000 $7,000 Greenacre 1,000 2,000
Carl had held the equipment for two years and generated the goodwill in his sole proprietorship business, which he had been operating for ten years. Deb had held Whiteacre for five years prior to contribution and had held it for investment purposes. Her installment note was from the sale of land she had held for investment for five years prior to sale. Ellen had held Greenacre for two years prior to contribution and had held it for investment purposes.
a) What are the tax consequences to each of Carl, Deb and Ellen?
b) What are the tax consequences to the partnership?
c) Construct a balance sheet to reflect the situation of the partners and partnership at the time of formation.
Carl, Deb, and Ellen created an equal general partnership by pooling their assets. Because the assets were contributed to the partnership in exchange for ownership interests, there was no gain or loss recognition for Carl, Deb, or Ellen.
The partners will maintain their own capital accounts to reflect the amount and composition of their initial investment in the partnership. The partnership received Carl's equipment, which had a $1,000 basis but a $3,000 fair market value, as well as his goodwill, which had a $0 basis but a $5,000 fair market value. Section 1245 of the Internal Revenue Code applies to depreciable personal property (such as equipment), which means that the difference between basis and fair market value (in this case, $2,000) is taxable as ordinary income. Because the property has been kept for two years, it is a long-term capital gain and is taxed at a lower rate.
The partnership received Deb's cash ($3,000 basis and $3,000 fair market value), Whiteacre (a piece of real estate that Deb has owned for five years and is worth $4,000, despite a $10,000 basis), and an installment note (with a $500 basis and a $2,000 fair market value). Deb does not realize any gain or loss on the cash because the basis equals the fair market value, but she realizes a loss on the installment note because the fair market value ($2,000) is less than the basis ($500). Because Whiteacre was used for investment purposes, it is considered a capital asset. As a result, the difference between the basis and the fair market value ($6,000) is a long-term capital loss that can offset any capital gains that the partnership may recognize later.Ellen contributed cash ($7,000 basis and $7,000 fair market value) and Greenacre (a piece of real estate that Ellen has owned for two years and is worth $2,000, despite a $1,000 basis). Ellen does not realize any gain or loss on the cash because the basis equals the fair market value. The difference between the basis and the fair market value of Greenacre ($1,000) is a short-term capital gain that is taxed at ordinary income rates. The tax consequences for the partnership are as follows:Whiteacre's $6,000 capital loss offsets the $2,000 short-term capital gain on Greenacre, resulting in a net capital loss of $4,000 for the partnership. The partnership will be able to use $3,000 of this loss to offset other capital gains, with the remaining $1,000 carrying forward to future years.
At the time of formation, the balance sheet for the partners and the partnership is given below:Carl: Goodwill $5,000 Equipment $3,000 Account receivable $1,000 Total assets $9,000Deb: Cash $3,000 Whiteacre $4,000 Installment note $2,000 Total assets $9,000Ellen: Cash $7,000 Greenacre $2,000 Total assets $9,000Partnership: Cash $10,000 Whiteacre $4,000 Greenacre $2,000 Total assets $16,000
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6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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Casey's Mail Manufacturing is a company that produces chain mail. Their most popular product is saw-cut metal links that hobbyists can use to make their own creations. The company recently spent $100 on advertising, which they hope to make back quickly. The wire used to produce one gram of links costs $2, but the finished links sell for $3 per gram. Eventually, the company will make back its investment and break even. How many grams of links must be sold?
In order to a breakpoint or the total cost = total investment company must need to sell 100 grams of links.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's suppose the number of links that are needed to solve for a breakpoint is x.
Cost of x number of links with the rate of $2/gram = 2x
Total cost = total selling
100 + 2x = 3x
3x - 2x = 100
x = $100
Hence "In order to break even point or the total cost = total investment company must need to sell 100 grams of links".
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What is the slope of the line?
Answer:
the answer is m = 1/2
Step-by-step explanation:
Use Symbolab I use it all the time it gives correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol)
hope this helps :)
Find the domain please
0, 1.5, 3.5, 5, 6.6
Answer: The domain is 3.5
What is the slope of this line? (5 points)
Show all work.
Answer:
-2,2
Step-by-step explanation:
is m parallel to n. if so what theorem can you use.
You can use the Alternate Exterior Angle Theorem to prove that the 2 angles shown on the drawing are congruent to each other.
(2x² - 6x + 5) + (7x²-x-9)
need help finding sum or difference
Answer:
the answer is either x= 4 , or it is 9\(x^{2} \\\) - \(x\) - 10
Step-by-step explanation:
Sorry dude, I'm confused a little bit on what to do, but i think one of these is right.
lmk if you get it right, and which one you used
Which equation is equivalent
Answer:
(4x^2 +9) (4x^2 -9) =0
Step-by-step explanation:
16x^4 - 81 =0
Rewriting
(4x^2) ^2 - 9^2 =0
This is the difference of squares a^2 -b^2 = (a+b)(a-b)
(4x^2 +9) (4x^2 -9)=0
In order to approximate the class width for a frequency distribution of quantitative data, we calculate:
To approximate the class width for a frequency distribution of quantitative data, we calculate the difference between the upper and lower class limits.
This difference is then divided by the desired number of classes. This calculation provides an estimate of the width of each class, which should be rounded up to a convenient number. Thus, the formula to approximate class width for a frequency distribution of quantitative data is:
Class Width = (Maximum Value - Minimum Value) / Number of Classes
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