Answer:
A) is the last option 5/7.
Step-by-step explanation:
B) the third and last option. 7/-9 and -7/9
when the integers 1 to 100 inclusive are written, what digit is the fewest numbers of the time
Answer: 0
Step-by-step explanation:
First you do 1 through 9,
then 10 through 19,
then 20 through 29.
You have one set of 9 numbers,
1-9, and 9 sets of ten numbers such as 20-29. Looking at the tens digit, 1 is used 10 times for 10-19, 2 is used 10 times for 20-29, 3 is used 10 times, etc.
However, 0 is not used as a tens digit except in the number 100.
If the digit is not 0, then it occurs 10 times as a ten digit.
In addition, it occurs once in each set of ten, for a total of 20 times. For example, consider 6. It occurs ten times in 60-69, and then another ten times as 6, 16, 26, 36, etc., for a total of 20.
O occurs as 10, 20, 30, 40, 50, etc plus an extra 0 in 100, for a total of 11 times.
The main span of the Brooklyn Bridge is 1595 feet long. The Golden Gate Bridge is about 263% of the length of the Brooklyn Bridge. To the nearest hundred feet, how long is the Golden Gate Bridge?
Answer:
4200 feet
Step-by-step explanation:
You want to know the length of the Golden Gate Bridge, given as 263% of the 1595 ft length of the Brooklyn Bridge.
PercentIn the context of this math problem, "of" means "times", so we have ...
263% of 1595 ft = 263% × 1595 ft
The percent sign (%) is interchangeable with the math expression /100, so the GG Bridge is about ...
263/100 × (1595 ft) = 4194.85 ft
You want this rounded to the nearest hundred, so it becomes ...
4194.85 ≈ 4200
To the nearest hundred feet, the Golden Gate Bridge is about 4200 feet long.
(q23) Find the volume of the solid obtained by rotating the region under the curve y = 2 - x about the x-axis over the interval [1, 2].
The volume of the solid obtained by rotating the region under the curve y=2-x about the x-axis over the interval [1, 2] is π units cubed.
How to calculate the volumeIn this case, the radius of each disc is r=2-x and the thickness of each disc is dx. The volume of each disc is then πr²dx=π(2-x)²dx.
The volume of the solid is then equal to the sum of the volumes of an infinite number of these discs, which is given by the following integral:
V = π∫_1² (2-x)²dx
V = π * 1
V = π
Evaluating this integral, we get V=π units cubed.
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10 5/6x-1+9 1/6x-9
i need this to be simplified thx
Answer:
20x-10(or if solving for x x = -1/2
Step-by-step explanation:
Combine Like Terms
10 5/6x+9 1/6x-1-9 = 19 6/6x -10 = 20x-10
What is the answer to 3a + 18 = 12
HELP ME PLEASE I WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation:
Its D
researchers are testing a new diagnostic tool designed to identify a certain condition. the null hypothesis of the significance test is that the diagnostic tool is not effective in detecting the condition. for the researchers, the more consequential error would be that the diagnostic tool is not effective, but the significance test indicated that it is effective. which of the following should the researchers do to avoid the more consequential error? responses increase the significance level to increase the probability of type i error. increase the significance level to increase the probability of type 1 error. increase the significance level to decrease the probability of type i error. increase the significance level to decrease the probability of type 1 error. decrease the significance level to increase the probability of type i error. decrease the significance level to increase the probability of type 1 error. decrease the significance level to decrease the probability of type i error. decrease the significance level to decrease the probability of type 1 error. decrease the significance level to decrease the standard error.
To decrease the probability of type I error in order to avoid the more consequential error of falsely concluding that the diagnostic tool is effective.
The researchers should decrease the significance level to decrease the probability of type I error. This is because a type I error occurs when the null hypothesis is rejected when it is actually true. In this case, the null hypothesis is that the diagnostic tool is not effective in detecting the condition.
If the researchers decrease the significance level, they are decreasing the probability of making a type I error, which means they are less likely to conclude that the diagnostic tool is effective when it is actually not. This will help the researchers avoid the more consequential error of falsely concluding that the diagnostic tool is effective.
In general, the significance level (also known as the alpha level) is the probability of making a type I error. By decreasing the significance level, the researchers are making the criteria for rejecting the null hypothesis more stringent, which reduces the likelihood of making a type I error.
It is important to note that decreasing the significance level will also decrease the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false.
However, in this case, the researchers are more concerned with avoiding the more consequential error of falsely concluding that the diagnostic tool is effective, so decreasing the significance level is the appropriate action to take.
In conclusion, the researchers should decrease the significance level to decrease the probability of type I error in order to avoid the more consequential error of falsely concluding that the diagnostic tool is effective.
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Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
Diana's savings will be 280 dollars after four weeks.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
300 - 5x
Where x represents the number of the week.
We have to determine Diana's savings after four weeks
As per the question, we have
⇒ 300 - 5x
Substitute the value of x = 4 in the above expression
⇒ 300 - 5(4)
⇒ 300 - 20
⇒ 280
This means her savings will be 280 dollars after four weeks.
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The question seems to be incomplete the correct question would be:
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
What is her savings after four weeks?
You are interested in doing a content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers. your unit of analysis is:_______.
To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.
Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.
Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.
When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.
Hence the unit of analysis is objective of the section.
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Linear or nonlinear
Will mark brainliest hurry
Answer:
I can’t see the picture but I can help
Step-by-step explanation:
If the line is straight then its linear if not then nonlinear
PLEASE HELP ILL GIVE BRAINLIEST use the similar triangles as a guild to find the slope of the line
Answer:
Slope is 1, since we use rise over run which is expressed as 1/1
true or false: if two events a and b are independent events with p(a) > 0, p(b) >0. then a and b are mutually exclusive events.
If two independent events a and b have p(a) > 0, p(b) > 0. The statement that a and b are mutually exclusive events is false.
If two events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring. In other words, the probability of A and B both occurring is equal to the product of their individual probabilities: P(A and B) = P(A) x P(B).
Mutually exclusive events, on the other hand, are events that cannot occur at the same time. If one event occurs, then the other event cannot occur. The probability of both events occurring is zero: P(A and B) = 0.
So, two events A and B can be independent without being mutually exclusive, and they can be mutually exclusive without being independent. The only requirement for independence is that P(A and B) = P(A) x P(B), while the requirement for mutual exclusivity is that P(A and B) = 0.
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Gaston is buying frult at a local grocery store. This table shows the cost per pound of each type of fruit. Match each
quantity of fruit with its total cost. Drag the items on the left to the correct location on the right.
3 pounds of bananas
4.24
4 pounds of grapes
2.37
3 pounds of oranges
1.95
2 pounds of apples
2.68
Answer:
bananas=$12.72
grapes=$9.48
oranges=$5.85
apples=$5.36
Step-by-step explanation:
To find the total cost for each fruit you would multiply the number of fruit by the cost.
bananas=3*4.24=$12.72
grapes=4*2.37=$9.48
oranges=3*1.95=$5.85
apples=2*2.68=$5.36
Fin the 15th term of each arithmetic sequence2. 5,9,13,17,....3. 4,1,-2,-5,...
The sequence is 5,9,13,17,...
Determine the common difference for the sequance
15/4 improper fraction to whole number
Answer:
The answer is 3
Step-by-step explanation:
How many whole groups of 2 can we make with 7?
Answer:
We can make 3 whole groups of 2.
Hope that helps. x
Step-by-step explanation:
2, 4, 6, 8
The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.
the probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20. the probability that house sales will decrease is estimated to be 0.6. the probability that interest rates will go up and house sales will decrease is estimated to be 0.15. the probability of an increase in interest rates and not a decrease in house sales is:
If the probability that interest rates will go up and house sales will decrease is estimated to be 0.15, the probability of an increase in interest rates and not a decrease in house sales is 0.05.
To find the probability of an increase in interest rates and not a decrease in house sales, we can use the formula for conditional probability:
P(Interest rates increase and house sales don't decrease) = P(Interest rates increase) - P(Interest rates increase and house sales decrease)
We are given that the probability of interest rates on housing loans going up in the next 6 months is 0.20, and the probability of house sales decreasing is 0.6. We are also given that the probability of interest rates going up and house sales decreasing is 0.15.
To find the probability of interest rates going up and not house sales decreasing, we subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up:
P(Interest rates increase and house sales don't decrease) = 0.20 - 0.15 = 0.05
In summary, we can use conditional probability to calculate the probability of an increase in interest rates and not a decrease in house sales.
Given the probabilities of interest rates going up and house sales decreasing, we can subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up to find the probability of interest rates going up and not house sales decreasing.
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Solve the wave equation with Neumam B.C. M c²dm dt² dx² du dm (6,0) = m (6, 1) = 0 dx dx M(0, x) = 1, (0₁ x) = (x(1x) こ ل
Answer:
Step-by-step explanation:
To solve the wave equation with Neumann boundary conditions, we'll assume the solution has the form:
u(t, x) = T(t)X(x)
Substituting this into the wave equation:
Mc²T''(t)X''(x) = T(t)X(x)
Dividing both sides by Mc²T(t)X(x), we get:
1/c² * T''(t)/T(t) = X''(x)/X(x)
Since the left side depends only on t and the right side depends only on x, both sides must be equal to a constant value, which we'll denote as -λ². This leads to the following two ordinary differential equations:
T''(t)/T(t) = -λ²c² (1)
X''(x)/X(x) = -λ² (2)
Solving equation (2) for X(x), we have:
X''(x) + λ²X(x) = 0
The general solution to this differential equation is:
X(x) = Acos(λx) + Bsin(λx)
Next, we need to solve equation (1) for T(t). Let's consider the casewhenλ ≠ 0:
T''(t) + λ²c²T(t) = 0
The general solution to this differential equation is:
T(t) = Ccos(λct) + Dsin(λct)
Now, let's consider the case when λ = 0:
T''(t) = 0
The general solution to this differential equation is:
T(t) = E + Ft
To satisfy the Neumann boundary condition at x = 6, we have:
X'(6) = 0
Differentiating X(x) with respect to x:
X'(x) = -Aλsin(λx) + Bλcos(λx)
Setting x = 6 and X'(6) = 0, we get:
-Bλsin(6λ) + Aλcos(6λ) = 0
This equation determines the values of λ for the Neumann boundary condition.
To satisfy the boundary condition at t = 0, we have:
T(0)X(x) = 1
Substituting t = 0, T(0) = E:
E*X(x) = 1
This equation determines the constant E.
Finally, we can express the solution to the wave equation as a linear combination of the solutions obtained above:
u(t, x) = ∑[Acos(λ_nx) + Bsin(λ_nx)][C_ncos(λ_nct) + D_nsin(λ_nct)] + EX(x) + Ft
where λ_n are the solutions to the equation -Bλsin(6λ) + Aλcos(6λ) = 0, and A, B, C_n, D_n, E, and F are constants determined by initial and boundary conditions.
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The area of a rectangular pool is 7644 m²
If the length of the pool is 98 m, what is its width?
Answer:
78m
Step-by-step explanation:
Length*width=area
98*x=7644
x=7644/98=78m
Solve for θ (from 0 to 360∘ ): a. sinθ−√3cosθ=0 b. 2sin2θcos2θ−1=0
The solution for \(θ\) in the equation \(sinθ-\sqrt3cosθ = 0\) is \(θ = 30{^\circ}\)
The solution for \(θ\) in the equation \(2sin2θcos2θ - 1 = 0\) is \(θ = 45{^\circ}\)and \(θ = 135{^\circ}\)
To solve for θ, we can rearrange the equation:
\(sinθ=\sqrt3cosθ.\)
Dividing both sides by \(cosθ\), we get:
\(tanθ= \sqrt3\)
Using the unit circle or trigonometric identities, we find that \(θ = 30{^\circ}\) and \(θ = 150{^\circ}\) are the solutions within the given range of 0 to 360° where the equation is satisfied.
To solve for \(θ\), we can rewrite the equation:
\(2sin2θcos2θ = 1.\)
Using the double angle formulas, we can express sin2\(θ\) and cos2\(θ\) in terms of sin\(θ\) and cos\(θ\):
\(2(2sinθcosθ)(1 - 2sin^2θ) = 1.\)
Simplifying the equation, we get:
\(4sinθcosθ - 4sin^3θ = 1.\)
Rearranging, we have:
\(4sinθcosθ = 4sin^3θ + 1.\)
Dividing both sides by 4cosθ, we get:
\(tanθ = sin^2θ + 1/4.\)
Using the unit circle or trigonometric identities, we find that \(θ\) = 45° and \(θ\) = 135° are the solutions within the given range of 0 to 360° where the equation is satisfied.
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Number graph ranging from negative eight to eight on the x axis and negative eight to eight on the y axis. Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a and the line with a negative slope is labeled b.
Use the graph to state the solution for the system.
x – y = 3 (line a)
x + y = 3 (line b)
Responses
(0, 3)
(0, 3)
(3, 0)
(3, 0)
(–3, 0)
(–3, 0)
(0, –3)
(0, –3)
The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3
Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.
Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.
The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).
Let's first find the points of intersection of the line a with the x-axis and the y-axis.
To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).
To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).
Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.
To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).
To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).
Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:
Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.
Hence, the answer is (0, 3).Option B. (0, 3)
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let s be the set of real numbers that can be represented as repeating decimals of the form 0.abc where a, b, c are distinct digits. find the sum of the elements of s.
On solving the provided question, we can say that - sum of the elements of \(S = (45 * 72 * 111 / 999) = 360\)
What is decimal?Both integers and non-integers are often represented using the decimal system. The Hindu-Arabic number system has been extended in a non-integer way using this. Decimal notation is the term used to describe the representation of numbers in decimal form. The term "decimal" is used to refer to the base-10 number system, which is perhaps the most widely used one. There are 10 single digits in the decimal numeral system.
Consider S to be the collection of real numbers that may be expressed as repeating decimals.
The repeating decimal has the form 0.abc cap.
a, b, and c are three separate digits.
If
\(x = 0.abcabc\\1000x = abc.abc\\1000x - x = abc\\999x = abc\\x = abc/999\)
a, b, c are distinct digits
Number of combinations 10 × 9 × 8
\(= 720 combinations\)
each value appear i= 720/10
\(= 72\)
Sum digits from\(0 to 9 = 45\)
sum of the elements of \(S = (45 * 72 * 111 / 999) = 360\)
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I NEED HELP PLEASE!!!
Answer: Part a) translate g(x) 6 units to the right, Translate f(x) 6 units to the left
Part b) k=3 (slope)
Step-by-step explanation:
a subset of the set of integers from 1 to 100, inclusive, has the property that no two elements of sum to 125. what is the maximum possible number of elements in ?
The maximum possible number of elements in set B is 62.
A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.
The universal set is A consisting of the primary one hundred positive integers.
Now, Set B is a subset of A.
Set B might be made up of the first 62 positive numbers, for example.
Only then is 123 the largest number that can be formed by adding all the components of set B.
Set B contains 62 items altogether.
Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.
In the majority of these cases, set B may have 62 elements.
Therefore, we get the number of elements in set B will be 62.
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A store purchased 250 pastries for $100. They resold all 250 pastries for $150. What is the store’s profit per pastry?
Answer:
the profit is $1.66 per pastry
Step-by-step explanation:
Answer:
The profit is 20 cents per pastry
Step-by-step explanation:
Solve x2 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}.
The solution set of the given quadratic equation using factorization will be {-3,11}
Given equation is
\(x^{2} -8x-33 = 0\)
What is a quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation. The equation denoted by ax² + bx + c = 0, where a is non-zero.
Let us calculate the roots by factorization
\(x^{2} -11x+3x-33=0\)
\(x(x-11)+3(x-11)=0\)
\((x-11) (x+3)=0\)
\(x-11=0\\x=11\\x+3=0\\x=-3\)
Hence, the solution set of the given quadratic equation will be {-3,11}
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Answer:
A
Step-by-step explanation:
peter and his four brothers combined all of their money to buy a video game. if 20%of the total money is peters and $12.00 of the total is peters how much do all five brothers have combined
Answer:
60$ (b)
Step-by-step explanation:
we know that 20% of the total is peters - and peter has 12 dollars. We know that 20% 5 times gets us to 100%. So we multiply 12 by 5 to get a total answer of 60$
What theorem can be used to prove
these triangles are congruent?
ASA
SAA
neither
so I'm retaking my chapter 4 math test on domain and range
Answer: Ok.. i hope you do good on it then..
Here is a meme to brighen up your laughter
INTRODUCING LAYS NEW BRAND
Answer:
Good Luck hope u do well!
Step-by-step explanation:
lemme kno if u need help
As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:
Group of answer choices
1. sample size is more than half of the population size.
2. sample size is smaller than 5% of the population size.
3. sample size is greater than 5% of the sample size.
4. None of these choices.
The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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