For a 60% confidence interval, the number of cis that we expect to contain the true mean is of 60% of the total amount.
What is the interpretation of a x% confidence interval?The interpretation of a x% confidence interval it is x% likely that the population parameter(mean/proportion/standard deviation) is between a and b, which are the bounds of the confidence interval.
The bounds a and b of the confidence interval are given by the estimate plus/minus the margin of error.
The interpretation also means that out of n samples, the percentage which are expected to contain the true mean is of x, hence the percentage for this problem is of 60%, as it is the confidence level.
Missing InformationThe problem is incomplete, hence only the first part could be answered.
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Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}
Answer:
B is the function.
Step-by-step explanation:
since there is one y value for every x value we know that is a function
The sum of two numbers is 12 and their difference is 4
write down two equations to describe given equation
solve the simultaneous equations to find the two numbers
Answer:
8 and 4
Step-by-step explanation:
let the 2 numbers be a nd b
equations :
a + b = 12
a - b = 4
Adding the two equations
a + b + a - b = 12 + 4
2a= 16
a = 8
b = 4
Find the moment about the x-axis of a wire of constant density that lies along the curve y = √3x from x=0 to x = 5. The moment is s (Round to the nearest tenth as needed.)
The moment about the x-axis is s = (2λ/9√3) (\(15^{3/2}\)), where s represents the numerical value of the moment rounded to the nearest tenth.
To find the moment about the x-axis, we need to integrate the product of the density and the distance from each infinitesimally small segment of the wire to the x-axis.
The wire lies along the curve y = √3x from x=0 to x = 5. The linear density of the wire is constant, so we can treat it as a constant factor in the integral.
Let's consider an infinitesimally small segment of the wire with length ds at a distance y from the x-axis. The mass dm of this segment can be expressed as dm = λds, where λ is the linear density of the wire.
Since the wire lies along the curve y = √3x, the distance from each segment to the x-axis is y = √3x.
Now, we can express the moment Mx about the x-axis as the integral of the product of the density and the distance:
Mx = ∫(0 to 5) y λ ds
Since λ is constant, it can be taken outside the integral:
Mx = λ ∫(0 to 5) y ds
To express y in terms of x and ds in terms of dx, we can rewrite the equation y = √3x as x = \(y^{2/3}\).
Taking the derivative with respect to x, we have dx = 2y/3 dy.
Substituting these values into the integral, we get:
Mx = λ ∫(0 to √15) (√3x)(2y/3) dy
Simplifying the expression, we have:
Mx = (2λ/3√3) ∫(0 to √15) y² dy
Integrating y² with respect to y, we get:
Mx = (2λ/3√3) [(y³/3)] (0 to √15)
Simplifying further, we have:
Mx = (2λ/9√3) (\(15^{3/2}\) - 0³)
The moment about the x-axis is given by Mx = (2λ/9√3) (\(15^{3/2}\)), where λ is the linear density of the wire.
Since the problem states that the wire has constant density, we can replace λ with a constant value.
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find the mean of 5, 25, 10, 15, 20
Answer:15
Step-by-step explanation:
The mean is the sum of all the numbers divided by the amount of numbers
Step 1: Add
5+25+10+15+20 = 75
Step 2: Divide
Since there are 5 numbers divide 75 by 5
75/5 = 15
The answer is 15
Answer: The mean is 15
Step-by-step explanation:
To find the mean, we add all the numbers together and divide by the number of numbers.
\(\displaystyle \frac{5+ 25+10+ 15+ 20}{5} = \frac{75}{5} = 15\)
find the value of given expression
\( \sqrt{564 \times 564} \)
Answer:
√(564×564)=√564²=±564
Answer:
\(±564.\)
Step-by-step explanation:
\( \sqrt{564 \times 564} \)
\( \sqrt{ {564}^{2} } \)
\(±564.\)
You invest $20,000 in the stock market. The stock market then plummets
over the next few weeks. Each day, your investment loses half of its value. How
much will you have invested after 14 days? Write the geometric sequence
formula and show all of your work.
After 14 days, you will have approximately $2.4414 invested in the stock market.
The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:
an = a1 x \(r^{(n-1)\)
Where:
an is the nth term,
a1 is the first term,
r is the common ratio, and
n is the number of terms.
In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.
Substituting the given values into the formula, we have:
a14 = 20000 x\((1/2)^{(14-1)\)
a14 = 20000 x \((1/2)^{13\)
a14 = 20000 x (1/8192)
a14 ≈ 2.4414
Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.
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The amount you will have invested after 14 days is given as follows:
$2.44.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term of the sequence.
The parameters for this problem are given as follows:
\(a_1 = 20000, q = 0.5\)
Hence the amount after 14 days is given as follows:
\(a_{14} = 20000(0.5)^{13}\)
\(a_{14} = 2.44\)
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WHAT IS 5 X 3 TO THE POWER OF 3
Answer:
The answer is 3,375
Step-by-step explanation:
5 x 3=15
15 to the 3rd power is 15 x 15 x 15
15 x 15 x 15= 3,375 :)
Which city has the biggest difference between the maximum and minimum temperatures Glassglow,Cardiff,Exeter
The city that has the biggest difference between the maximum and minimum temperatures is Glasgow.
Which city has the biggest difference?In order to determine which city has the biggest difference, subtract the difference between the minimum temperature from the maximum temperature.
Range = maximum temperature - minimum temperature
Range of Glasgow = 2 - (-8)
2 + 8 = 10
Range of Cardiff = 6 - (-1)
6 + 1 = 7
Range of Exeter = 8 - 0 = 8
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Simplify (4^-2)^5
O A. 410
B.
C. 43
D. 270
Answer:
D
Step-by-step explanation:
the real answer would be 1/1048576
2m - n =8 Solve for n
Answer:
\( \boxed{\sf n = 2m - 8} \)
Step-by-step explanation:
Solve for n:
⇒2m - n = 8
Subtract 2 m from both sides:
⇒2m - 2m - n = 8 - 2m
2m - 2m = 0:
⇒-n = 8 - 2 m
Multiply both sides by -1:
⇒-n × (-1) = (8 - 2m) × (-1)
⇒n = 2m - 8
The required value of n is equal to n = 2m - 8.
An expression is given in the question ; i.e., 2m - n = 8.
We have to find the value of the 'n' .
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the question ;
The given expression is 2m - n = 8.
Let's solve it to get the value of n.
The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.
So ,
2m - n = 8 can be written as ;
2m = 8 + n
or
n = 2m - 8
Thus , the required value of n is equal to n = 2m - 8.
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What are two numbers whose
product is 63, difference is 2,
and sum is 16?
Find the average rate of change for the following function. f(x) = √x between x = 16 and x = 25
Given the function f(x) = √x, we are to find the average rate of change for the given function between x = 16 and x = 25. To find the average rate of change for the given function between x = 16 and x = 25, we use the formula for average rate of change:Average rate of change = [f(x₂) - f(x₁)] / (x₂ - x₁)where x₁ = 16 and x₂ = 25Also, f(x₁) = f(16) = √16 = 4 and f(x₂) = f(25) = √25 = 5Substituting the values into the formula for average rate of change, we have:Average rate of change = [f(x₂) - f(x₁)] / (x₂ - x₁)= [f(25) - f(16)] / (25 - 16)= [5 - 4] / 9= 1/9Therefore, the average rate of change for the function f(x) = √x between x = 16 and x = 25 is 1/9.
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In the following diagram state which parts
Answer:
Angle A is congruent to Angle D
Angle B is congruent to Angle E
Angle C is congruent to Angle F
How?
We can figure this out by looking at the amount of semi-circle things on each angle. Since A and D both have 3 of them, we know they are congruent. We can use this logic to solve the rest of the congruent angles.
Hope This Helps!!! :)
Let me know in the comments if this answer was perfect or if I should change anything!!!
Answer:
A is congruent to D
B is congruent to E
C is congruent to F
Step-by-step explanation:
One way I personally like to do it is looking at the way that it is this may not always work, but in this case, it does. When you look at the way it is written, You see that A is the first letter of the first phrase and D is also the letter of that triangle. You kind of just match them up. If you don't want to do it that way, just look at the vertices and match them up.
If we are given an acute ∠A, side a, and side b, and the height of the triangle is h = bsin A, state the criteria needed for the following to happen:
No triangles when...
One triangle when... (2 answers)
Two triangles when...
What is triangle?
A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.
The given information is an acute angle ∠A, and sides a and b, along with the height of the triangle h = b sin A. The criteria for the number of possible triangles that can be formed are as follows:
No triangles can be formed if the length of side a is less than or equal to the length of the height h. That is, if a ≤ h, then no triangle can be formed. This is because the height is the perpendicular distance from the vertex of the angle to the opposite side, and it is necessary for the opposite side to be longer than the height in order for a triangle to exist.One triangle can be formed if the length of side a is greater than the length of the height h. That is, if a > h, then one triangle can be formed. In this case, the triangle is unique, since the other two sides and the angle are fixed.Two triangles can be formed if the length of side a is greater than the length of the height h, and if sin A is less than or equal to a/b. That is, if a > h and sin A ≤ a/b, then two triangles can be formed. In this case, the angle and the two sides adjacent to the angle are fixed, but the length of the opposite side can vary, which leads to the possibility of two triangles with different lengths for the opposite side.Learn more about triangles on:
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A rabbit population can increase at a rapid rate if left unchecked. Assume that 10 rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year for the next 5 years as shown in the table
year. rabbit population
0. 10
1. 30
2. 90
3. 270.
4. 810
5. 2430
If the new population in Part B starts with 30 rabbits, which population will have a greater population on year 3 ? By how much?
A. The original population will be greater by 30 rabbits.
B. The original population will be greater by 50 rabbits.
C. The new population will be greater by 540 rabbits
D. The new population will be greater by 30 rabbits.
Answer:
A
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
A rectangle is shown. The rectangle will be enlarged by a scale factor of 1.5.
2 cm
5 cm
What will be the perimeter of the enlarged rectangle?
Answer:
21 cmStep-by-step explanation:
A rectangle is shown. The rectangle will be enlarged by a scale factor of 1.5.
2 cm
5 cm
What will be the perimeter of the enlarged rectangle?
we find the two measures of the triangle
2 * 1.5 = 3 cm
5 * 1.5 = 7.5 cm
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides
3 + 3 + 7.5 + 7.5 =
21 cm
Use the table below to determine whether the argument is valid. TableI start to fall asleep if I read a math book. I drink soda whenever I start to fall asleep. If I drink a soda, then I must eat a candy bar. Therefore, if I read a math book, then I eat a candy bar.The argument is _____________
Okay, here we have this:
Considering the provided information, we obtain the following:
I read a math book. (p)
I start to fall asleep (q)
I drink soda (r)
I must eat a candy bar. (s)
Therefore:
I start to fall asleep if I read a math book. This can be rewritten as: "if I read a math book then I start to fall asleep". And this is p⇒q.
I drink soda whenever I start to fall asleep. This can be rewritten as:"if I start to fall asleep then I drink soda" . And this is q⇒r.
If I drink a soda, then I must eat a candy bar. And this is r⇒s
Now, we need to check: "If I read a math book, then I eat a candy bar.". That is p⇒s.
So, according with the table this argument satisfy the Transitive Reasoning, so this means that the argument is valid.
Which graph represents this equation? A. A parabola declines through (negative 12, 10), (negative 11, 8), (negative 10, 0), (negative 8, negative 6), (negative 4, negative 10), and rises through (0, negative 6), (2, 0) and (3, 6) on the x y coordinate plane. B. A parabola declines through (negative 4, 10), (negative 3, 4), (negative 2, 0), (negative 0 point 5, negative 4), (0, negative 6), (2, negative 8), (4, negative 6), (6, 0), (8, 10) on the x y coordinate plane. C. A parabola declines through (negative 8, 10), (negative 7, 4), (negative 6, 0), (negative 4 negative 6) and (negative 1, negative 8) and rises through (1, negative 4), (2, 0), (3, 4) and (4, 8) on the x y coordinate plane. D.
The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.
How to interpret the equation of the parabola?To obtain the graph of a quadratic function, these three features have to be obtained from the function's definition:
- The x-intercepts, which are the roots of the function.
- The y-intercept, which is the value of y when the function crosses the y-axis.
- The vertex, which is the turning point of the function.
- The function for this problem is defined as follows:
y = 1.5x² + 4x - 2.
Hence the numeric values of the coefficients are listed as follows:
a = 1.5, b = 4, c = -2.
Inserting these coefficients into a calculator, the x-intercepts of the function are given as follows:
x = -3.09 -> hence the function passes through point (-3.09, 0).
x = 0.43 -> hence the function passes through point (0.43, 0).
The y-intercept of the function is given by coefficient c = -2, hence the function also passes through point (0, -2).
The x-coordinate of the vertex is given as follows:
x = -b/2a = -4/3 = -1.33.
Hence the y-coordinate of the vertex is:
y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.
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Missing Information
The problem asks for the graph of the following function:
y = 1.5x² + 4x - 2.
8 squared + b squared= 17 squared find b
Answer:
b=15
Step-by-step explanation:
8²+b²=17²
b²=225
b=15
need help on worksheet
Answer:
-2, -1, 0, 1, 2
Step-by-step explanation:
Model With Mathematics A photographer is
placing photos in a mat for a gallery show.
Each mat she uses is x in, wide on each side.
The total area of each photo and mat is
shown
Answer:
a. The possible dimensions of the total area are;
The width of the total area is (2·x + 8) inches
The length of the total area is (2·x + 10) inches
b. The dimensions of the photos are as follows;
The length of the photos are 10 inches
The width of the photos are 8 inches
Step-by-step explanation:
a. Given that the area, A = 4·x² + 36·x + 80
We get;
A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)
Therefore, the possible dimensions of the total area (photo + mat) are;
The width of the total area (photo + mat) = (2·x + 8) in.
The length of the total area (photo + mat) = (2·x + 10) in.
b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each
Therefore, we have the dimensions of the photos are as follows;
The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.
The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.
Please help fast thank you. The problem is in the picture.
Document is 20 inches by 34 inches what are the dimensions of documents using the following scales 1/4 1/2 3/4 1 and 1/2
The dimensions of the document using the given scales are:
1/4 scale: 5 inches by 8.5 inches
1/2 scale: 10 inches by 17 inches
The dimensions of the document using the given scales are:
1/4 scale: 5 inches by 8.5 inches
1/2 scale: 10 inches by 17 inches
3/4 scale: 15 inches by 25.5 inches
1 scale: 20 inches by 34 inches
1 and 1/2 scale: 30 inches by 51 inches.
To find the dimensions of the document using the given scales, we need to multiply the original dimensions by the scale factor.
For a scale of 1/4, we multiply the original dimensions (20 inches by 34 inches) by 1/4.
So, the dimensions would be (20 * 1/4) inches by (34 * 1/4) inches, which simplifies to 5 inches by 8.5 inches.
For a scale of 1/2, we multiply the original dimensions by 1/2.
So, the dimensions would be (20 * 1/2) inches by (34 * 1/2) inches, which simplifies to 10 inches by 17 inches.
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Simplify the complex fraction 4/5 7/9
illustration 5 has the state machine three leds. what state in illustration 6 tick function threeleds() will result if an illegal tl state value accidently occurs?
The state is undefined, the behavior or outcome of the tick function would be unpredictable. The LEDs may exhibit unexpected patterns or become unresponsive.
In illustration 6, if an illegal tl (threeleds) state value accidentally occurs, the tick function threeleds() will result in an unspecified or undefined state.
If an illegal state value accidentally occurs in the tick function `threeleds()` of illustration 6, and there is no specific handling for such cases, it may result in an unspecified or undefined state.
An illegal state value refers to a value that does not correspond to any valid state defined in the state machine.
In this case, since the state is undefined, the behavior or outcome of the tick function would be unpredictable. The LEDs may exhibit unexpected patterns or become unresponsive.
It is important to handle all possible states in a state machine to ensure that unexpected or illegal states are properly handled to maintain the desired behavior of the system.
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Find the value of x and y
Who ever gives me the rights answer will get brainliest
Answer:
Step-by-step explanation:
X = 180-117 = 63
y = 90-63 = 27
Alex has 2/4 quarts of chocolate milk left in a jug. In another jug he had 2 1/2 pints of chocolate milk . Can Alex pour the milk from both jugs into a third jug that has a capacity of 2 gallons.
Answer:
Yes, he can
Step-by-step explanation:
We have to find the total of Chocolate milk Alex has by taking
2 1/2 = 5/2
2/4 + 5/2 = 2/4 + 10/4 = 12/4 = 3 quarts of chocolate milk
1 gallon = 4 quart
And here, Alex only has 3 quarts of chocolate milk, so he can pour the milk from both jugs into a third jug.
which statement about sample size in qualitative research is true? sampling for qualitative studies should stop before information becomes redundant new researchers who have a fresh eye on phenomena can rely on smaller samples than more experienced researchers if the quality of data being collected is exceptionally good, a smaller sample may suffice than when data are of mediocre quality typical case sampling requires more participants than maximum variation sampling
In contrast to quantitative research, sampling may not always produce the same results in qualitative data analysis. The analysis will depend on the more complicated themes.
The researcher must seek for saturation in order to set a sample size restriction. The ideal in qualitative research is saturation. It serves as a tool to make sure sufficient, high-quality data are gathered to support the investigation.
Quantitative research is a method of gathering and analyzing data that uses numerical and statistical techniques. It is a systematic and objective approach that involves the collection of numerical data through surveys, experiments, or other forms of measurement, which is then analyzed using statistical tools. The goal of quantitative research is to generate and test theories, hypotheses, and models that can be generalized to a larger population.
Quantitative research often involves the use of large samples, which allow researchers to draw statistically significant conclusions about the population being studied. It also involves the use of standardized measures and data collection methods to ensure that the data collected is reliable and valid. Quantitative research is widely used in fields such as social sciences, education, psychology, and market research to study a variety of phenomena, including attitudes, behaviors, opinions, and trends.
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Complete Question:-
Which statement about sample size in qualitative research is true?
A. Sampling for qualitative studies should stop before information becomes redundant.
B. If the quality of data being collected is exceptionally good, a smaller sample may suffice than when data are of mediocre quality.
C. New researchers who have a fresh eye on phenomena can rely on smaller samples than more experienced researchers.
D. Typical case sampling requires more participants than maximum variation sampling.
Help needed please, need it quickly <3
use the limit definition of partial derivatives to find fx(x, y) and fy(x, y). f(x, y) = x y
Using the limit definition of partial derivatives, we can find fx(x,y) and fy(x,y) for the function f(x,y) = xy. The partial derivative with respect to x, fx(x,y), is equal to y, and the partial derivative with respect to y, fy(x,y), is equal to x.
The partial derivative of a function with respect to one of its variables is the rate at which the function changes when that variable is changed, while holding all other variables constant. In the case of f(x,y) = xy, we can use the limit definition of partial derivatives to find fx(x,y) and fy(x,y). To find fx(x,y), we first fix the value of y and let x approach a small increment h. Then, we take the limit as h approaches zero:
fx(x,y) = lim (h -> 0) [f(x+h,y) - f(x,y)] / h
= lim (h -> 0) [(x+h)y - xy] / h
= lim (h -> 0) hy / h
= y
Similarly, to find fy(x,y), we fix the value of x and let y approach a small increment k. Then, we take the limit as k approaches zero:
fy(x,y) = lim (k -> 0) [f(x,y+k) - f(x,y)] / k
= lim (k -> 0) [x(y+k) - xy] / k
= lim (k -> 0) xk / k
= x
Therefore, the partial derivative with respect to x, fx(x,y), is equal to y, and the partial derivative with respect to y, fy(x,y), is equal to x.
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