The significance test is a test that claim on the basis of p-value and cannot check if the observed effect and it is the observed effect due to chance. So, the right choice for the answer is option(b).
We have to determine the statement that reflects the test of significance in a number of statements. We check the each option one by one. A significance test tests the claim made. This test used to investigate the claim by considering the null and alternate hypothesis. It cannot used to check about the sample or the experiment are properly design or not. Now, the significance test determines that the observed effect is due to chance. Because it measures the observed difference between the group using the p-value ( probability or chance).
If the p-value<α, then accept the null hypothesis.If the p-value ≥α then reject null hypothesis.A significance test, tests the claim. It cannot say if the observed effect is important or not. It is only based on test the claim on the basis of p-value and cannot check if the observed effect is important. Hence, option( b) is right.
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a survey researcher is most likely to use a(n) question when the dimensions of the variables are well defined.
In contrast, open-ended questions allow for more in-depth and nuanced responses but can be more difficult to analyze due to the variability of responses.
A survey researcher is most likely to use a closed-ended question when the dimensions of the variables are well defined. Closed-ended questions provide respondents with a list of predefined response options to choose from, which allows for easier categorization and analysis of the data. This type of question is ideal for measuring specific and clearly defined variables, such as demographic information or attitudes towards a particular issue. In contrast, open-ended questions allow for more in-depth and nuanced responses but can be more difficult to analyze due to the variability of responses.
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Please answer the question in the pdf. I just need the values for A, B, and C. I am offering 15 points. Thanks.
Recall the equation provided in the pdf:
(125x ^ 3 * y ^ - 12) ^ (- 2/3) = (y ^ [A])/([B] * x ^ [c])
find A B and C.
The answer will be:
A = 8/3B = 3/4C = 8/3Checkout the calculation of the exponentialWe can solve this problem using the rules of exponents and algebraic manipulation.
Starting with the left-hand side of the equation:
(125x^3 * y^-12)^(-2/3)
Using the rule that (a * b)^c = a^c * b^c, we can rewrite the expression as:
125^(-2/3) * x^(-2) * y^(8)
Simplifying further, we can use the fact that a^(-n) = 1/(a^n) to get:
1/(5^2 * x^2 * y^8/3)
Now, we can see that the denominator on the right-hand side of the equation must be 5^2 * x^2 * y^8/3. To find the numerator, we need to simplify the expression y^A. Comparing exponents, we see that:
y^A = y^(8/3)
Therefore, we need to find a value of A such that A = 8/3. Solving for A, we get:
A = 8/3
Now, we can write the equation as:
y^(8/3)/(5^2 * x^2 * y^8/3) = y^(8/3)/(25 * x^2 * y^(8/3))
Comparing exponents again, we see that we need to find values of B and C such that:
B * C = 2
and
-8/3 = -C
Solving for C, we get:
C = 8/3
Substituting this value of C into the first equation, we get:
B * 8/3 = 2
Solving for B, we get:
B = 3/4
Therefore, the solution is:
A = 8/3
B = 3/4
C = 8/3
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a prism has three rectangular faces. its other faces are in the shape of
Answer: All the faces are rectangular.
Step-by-step explanation: A prism with three rectangular faces is called a rectangular prism. Therefore, the other faces are in the shape of rectangles.
Can someone help me asap? It’s due tomorrow. I will give brainiest if it’s correct.
Kenishe packs 3 crates of merchandise the crates have masses of 65 kg 72 kg and 42 kg how many kg of merchandise does Kenisha pack
As Kenisha packs three crates of merchandise having masses of 65kg , 72 kg and 42 kg, he or she packs total of 179 kg of merchandise.
Kenisha has 3 crates of merchandise.
Each of the crates have different masses, those are as : first crate has mass 65 kg, second has mass of72 kg and third case has mass of 42 kg.
By simple addition rule we get,
The total masses of three crates is = (65 + 72 + 42) kg
=179 kg
Thus, Kenisha has packed 179 kg of merchandise as he or she has packed three crates having masses 65 kg, 72kg and 42kg.
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What is the dividend yield on Stock A that sells at
$20/share, when Company A pays a quarterly
dividend of $0.10 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
The calculated value of the dividend yield on Stock A is 2%.
Calculating the dividend yield on the StockThe dividend yield is a ratio that indicates how much a company pays out in dividends relative to its stock price.
To calculate the dividend yield on Stock A, we need to divide the annual dividend per share by the stock price per share and then multiply by 100 to express it as a percentage.
Annual dividend per share = Quarterly dividend per share x 4
Annual dividend per share = $0.10 x 4 = $0.40
Now, we can calculate the dividend yield on Stock A:
Dividend yield = Annual dividend per share / Stock price per share x 100%
Dividend yield = $0.40 / $20 x 100%
Dividend yield = 2%
Therefore, the dividend yield on Stock A is 2%.
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The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking the probability that a butterfly survives for more than t days as P(T>t)=36(6+t)2, t≥0. For these problems, please ensure your answers are accurate to within 3 decimals. Part a) What is the probability that a butterfly will die within 6 days of emerging? 0. 75 Part b) If a large number of butterflies emerge on the same day, after how many days would you expect only 6 % to be alive? 18. 494 Part c) Calculate the mean lifetime of a butterfly after emerging from its chrysalis?
The answer is (11. 845)
How does the structure of each poem help to convey different feelings
The fraction of the total vote he should expect to get is 23/75.
What are fractions?A fraction is a mathematical unit used to represent a portion of a whole or a ratio of two integers. They are shown as the top number, or numerator, and the bottom number, or denominator, separated by a line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of shares or parts.
For instance, you may write 3/8 for the portion of pizza you consumed if there were 8 pieces and you only ate 3. This indicates that you consumed three of the pizza's eight equally sized portions.
From the given table we can determine the total number of votes are:
13 + 9 + 10 + 8 + 10 + 14 + 5 + 6 = 75.
Now, Jamal received 13 + 10 = 23 votes.
Thus, the fraction of the total vote he should expect to get is 23/75.
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A box contains 2,00,000 medicine tablets each weighing 20 mg. What is total weight of all the tablets in the box in grams and kilo grams? Please answer only with full SOLUTION
the total weight of all the tablets in the box is 4,000 grams or 4 kilograms.
What is net weight mean?
The weight of a product or item that does not include the weight of its packing or container is known as its "net weight."
Given, number of tablets = 2,00,000 and weight of each tablet = 20 mg.
To convert from milligrams to grams, we divide by 1000. Therefore, the weight of each tablet in grams is:
20 mg ÷ 1000 = 0.02 g
Total weight of all the tablets in the box in grams is:
2,00,000 tablets × 0.02 g/tablet = 4,000 g
To convert from grams to kilograms, we divide by 1000. Therefore, the weight of all the tablets in the box in kilograms is:
4,000 g ÷ 1000 = 4 kg
Therefore, the total weight of all the tablets in the box is 4,000 grams or 4 kilograms.
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Area of semicircle:
Area of Rectangle:
Total Area:
1. The area of the semi circle is 56.52ft²
2. The area of the rectangle is 228ft²
3. The total area is 284.52ft²
What is area of a shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The area of a semi circle is expressed as;
A = 1/2 πr²
r = d/2 = 12/2 = 6ft
A = 1/2×3.14 × 6²
A = 56.52ft²
therefore the area of the semicircle is 56.52ft²
The area of a rectangle is expressed as;
A = l×w
= 19×12
= 228ft²
therefore the area of the rectangle is 228ft²
The total area = (228+56.52)ft²
= 284.52ft²
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help me please like right now as soon as possible write the answer in terms of pi and round the answer to the nearest hundredths place I will give branliest
Thus, the total surface area of cylinder is found to be 480π sq. cm.
Explain about the surface area of cylinder:A cylinder's surface area is made up of its two congruent, parallel circular sides added together with its curved surface area. You must determine the Base Area (B) and Curved Surface Area in order to determine the surface area of a cylinder (CSA).
As a result, the base area multiplied by two and the area of a curved surface add up to the surface area or total surface of a cylinder.
Given data:
radius r = 8 cm
Height h = 22 cm
Total surface area of cylinder = 2*area of circle + area of curved cylinder
TSA = 2πr² + 2πrh
TSA = 2π(8)² + 2π(8)(22)
TSA = 2π(64) + 2π(176)
TSA = 128π + 352π
TSA = 480π sq. cm.
Thus, the total surface area of cylinder is found to be 480π sq. cm.
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Complete question-
Find the surface area of the cylinder with radius of 8 cm and height of 22 cm. write the answer in terms of pi and round the answer to the nearest hundredths place.
(3 + 2 i ) + ( 4-5 i ) =
(-5 + i) + (12 + 3i) =
(2-3 i )+(3-2i)=
(-7+5i ) + (4-2i)=
(11 +3i ) + (5 +6 i)
Nicky scored
18 points, 22 points, and 28 points in her
last three basketball games. How many
points does she need to score in her next
game to have a mean of 25 points per
game? Explain.
Answer:
To find out how many points Nicky needs to score in her next game, we can use the formula for the mean (also known as the average) of a set of numbers:
mean = (sum of all numbers) / (number of numbers)
We know that Nicky has played three games and scored, and points in them. So the sum of all her points is:
sum=18+22+28
sum=68
We also know that Nicky wants to have a mean of 25 points per game, and she has played three games already. If we add the score from her next game to the sum, we will have the total number of points she has scored in four games.
Drag a statement or reason to each box to complete this proof.
If 4z +5=17, then z= 3.
Statement
1.
2.4z +5-5-17-5
3.
4 뚱= 믕
5
Division Property of Equality
Reason
Given
Simplifying
Simplifying
Subtraction Property of Equality
z=3
4z=12
4z +5=17
The statement or reason to each box which complete the proof are;
Subtraction Property of Equality
Division Property of Equality
What property of equality completes the proof?4z + 5 = 17
Then z = 3
4z + 5 = 17
subtract 5 from both sides (Subtraction Property of Equality)
4z = 17 - 5
4z = 12
divide both sides by 4 (Division Property of Equality)
z = 12/4
Therefore, the value of z = 3
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Question 14(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15(Multiple Choice Worth 2 points)
The correct graph is: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
How to explain the graphSince the data is categorical and discrete, a bar graph is appropriate to display the data. The bars should be labeled with the sports, and their heights should correspond to the number of students who chose each sport.
A histogram is not appropriate because the data is not continuous. Also, the order of the bars does not matter in this case since the data is not ordinal.
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1. What is the sum of the first 1,000 positive multiples of 3, starting with 3?
1,001,000
1,499,998
500,500
1,501,500
By answering the presented question, we may conclude that As a result, arithmetic the total of the first 1,000 positive multiples of three beginning with three is 1,501,500. As a result, (C) 500,500 is not the right answer.
what is arithmetic progression?An arithmetic progression occurs when the difference between subsequent words in a series is always the same. The sequences 5, 7, 9, 11, 13, and 15 are examples of arithmetic progressions with a tolerance of 2. Arithmetic progression (A.P.) is a progression that has a set tolerance between any two successive numbers. There are two forms of mathematical progression: finite-length arithmetic series A finite geometric progression is a series with a finite number of terms. The series' terms may be used to calculate the early, late, tolerance, and number of terms.
The first positive multiple of three is three itself, followed by six, nine, and so on. As a result, the total of the first 1,000 positive multiples of three beginning with three is:
3 + 6 + 9 + ... + 3,000
S = (n/2)(a + l)
n = 1,000, a = 3, and l = 3,000 in this example (since the last term is 3 times the 1,000th term). When we enter these values into the formula, we get:
S = (1,000/2)(3 + 3,000)
S = 500(3,003) (3,003)
S = 1,501,500
As a result, the total of the first 1,000 positive multiples of three beginning with three is 1,501,500. As a result, (C) 500,500 is not the right answer.
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Please help,, my teacher didnt show me how to do ths
Answer:
sorry did not mean to answer this
Step-by-step explanation:
Answer:
Domain: (0, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Domain solution: x > 0
Range solution: -∞ < f(x) < ∞
Hope this helps.
Find an equation of a line whose graph intersects the graph of the parabola y=x2 at (a) two points, (b) one point, and (c) no point. (There is more than one correct answer for each.)
(a) Two points: y = 2x + 1 and y = -2x - 1 (where the line intersects the parabola at (1,1) and (-1,1))
(b) One point: y = 2x - 1 (where the line intersects the parabola at (1,1))
(c) No point: y = 2x + 2 (the line does not intersect the parabola)
What is parabola?A parabola is a U-shaped symmetrical curve. In mathematics, it is a type of quadratic function that can be described as y = ax² + bx + c, where a, b, and c are constants and x is the variable. The graph of a parabola is symmetric about a vertical line called the axis of symmetry, which passes through the vertex of the parabola.
In the given question,
(a) When the graph of the line intersects the graph of the parabola at two points, it means that the discriminant of the quadratic equation is positive. Let the two intersection points be (x1, y1) and (x2, y2), where x1 < x2. Then we have:
y1 = x1² and y2 = x2²
The slope of the line passing through these two points is:
m = (y2 - y1)/(x2 - x1) = (x2² - x1²)/(x2 - x1) = x1 + x2
The equation of the line can then be written as:
y - y1 = m(x - x1)
y - x1^2 = (x1 + x2)(x - x1)
(b) When the graph of the line intersects the graph of the parabola at one point, it means that the discriminant of the quadratic equation is zero. Let the intersection point be (x0, y0), then we have:
y0 = x0^2
The equation of the line can be written as:
y - y0 = m(x - x0)
y - x0² = m(x - x0)
(c) When the graph of the line does not intersect the graph of the parabola, it means that the discriminant of the quadratic equation is negative. In this case, there is no solution for the system of equations y = x² and y = mx + b, where m and b are constants. Therefore, there is no equation of the line that satisfies this condition.
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at confidence, what is the margin of error and the interval estimate of the number of -year-old drivers in 2008? round your answers to four decimal places.
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
Explain about the confidence interval:An unknown population parameter's value is likely to be within the bounds of a confidence interval (CI), which is a range of values. Given the qualities of your sample data, these intervals reflect a likely domain for the parameter.
Confidence intervals are computed using a predetermined degree of confidence and are obtained from sample statistics.
Margin of error ME = z(α/2)√[p(1-p)/n]
confidence interval = 95%
z(α/2) value for the 95% confidence interval = 1.96 (taken from attached table)
P = 75% = 0.75
1-p = 1 - 0.75 = 0.25
n = 1200
Put the values in formula:
ME = (1.96)*√[0.75*0.25 / 1200]
ME = (1.96)*√0.00015625
ME = 0.0245
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
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Complete question:
Fewer young people are driving. In 1983, 87% of 19-year-olds had a driver’s license. Twenty-five years later (in 2008) that percentage had dropped to 75%. Suppose these results are based on a random sample of 1200 19-year-olds in 1983 and again in 2008. At a 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old drivers in 2008?
The amount of time it would take you to go from Chicago to Las Vegas is equal to 1525 miles divided by your average rate of travel. Which equation describes how the time and rate of travel are related?
The equation that relates time and rate of travel is time = distance / rate, so for the given scenario, the equation would be time = 1525 miles / rate.
The equation that relates time and rate of travel is:
time = distance / rate
Where:
time is the time taken to travel the distance
distance is the distance between two places (in this case, from Chicago to Las Vegas)
rate is the rate of travel (the average speed)
So, for this specific case, the equation would be:
time = 1525 miles / rate
where rate is the average speed at which you travel from Chicago to Las Vegas.
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I need some help please
Answer: it is 3/2x x + 0
Step-by-step explanation:
you do rise over run which is 3 up and 2 over in this case. and the 0 is the y intercept but its at the center also known as the origin so its 0
Answer:
Step-by-step explanation:
a rectangular garden is 24 feet long. if you walk diagonally across the garden, you would walk 30 feet. how many feet wide is the garden?
The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".
Given:
Length of the garden = 24 feet
Diagonal of the garden = 30 feet
Using the Pythagorean theorem, we can set up the following equation:
[tex]24^2[/tex] + [tex]w^2[/tex] = [tex]30^2[/tex]
Simplifying:
576 + [tex]w^2[/tex] = 900
Subtracting 576 from both sides:
[tex]w^2[/tex] = 900 - 576
[tex]w^2[/tex] = 324
Taking the square root of both sides:
w = √324
w = 18
So, the width of the garden is 18 feet.
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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.
Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.
Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.
The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).
The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.
In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.
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an imaginary circle that goes through both retinae and the fixation point is known as
The Vieth-Müller Circle is an imaginary circle that passes between both retinae and the fixation point.
The Vieth-Müller Circle is an ophthalmology concept that depicts an imaginary circle that passes across the foveas (the primary points of the retinae that are responsible for acute, detailed vision) and the fixation point (the point at which the eyes are directed).
The Vieth-Müller Circle is significant because it helps to explain the phenomenon of binocular vision, which is the ability to perceive depth and three-dimensional space using both eyes together. The circle aids in the definition of the equivalent locations on the two retinae, which are sites that receive visual field information and are critical in combining the images from the two eyes into a single, three-dimensional perception.
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The imaginary circle that passes through both retinae and the fixation point is called the horopter. The horopter is important in visual perception as it represents the set of points in space that stimulate corresponding points on each retina, which is necessary for binocular vision and depth perception.
The Horopter is an imaginary circle that passes through both retinae and the fixation point. In this context:
1. "Imaginary" refers to the fact that the Horopter is a theoretical concept rather than a physical object.
2. "Retinae" are the light-sensitive layers at the back of both eyes, which play a crucial role in processing visual information.
3. "Fixation" is the point where both eyes are focused on a single object in the visual field.
In brief, the Horopter represents a collection of points in the 3D space that are perceived as having the same depth or distance as the fixation point. It helps in understanding binocular vision and depth perception, as points on the Horopter contribute to forming a single, fused image from both eyes.
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what is inches to feet
Answer: 12 inches is one foot
Step-by-step explanation: hope that this is what you were asking ;)
How is the volume of the first rectangular prism with base 2m by 3m and height 5m related to the volume of the second rectangular prism with base 3m by 5m and height 2m? Explain.
Answer:
they have the same volume
Step-by-step explanation:
in order to find the volume of a rectangular prism you have to multiply the width,height and length.
2 × 3 × 5 = 30.since both prisms have the same numbers ,they have the same volume.
hope this helps :)
Answer:
The volumes of the two rectangular prisms are the same.
Step-by-step explanation:
For the first rectangular prism, the area of the base is 6 square meters, and the height is 5 meters, so the volume is 30 cubic meters.
For the second rectangular prism, the area of the base is 15 square meters, and the height is 2 meters, so the volume is 30 cubic meters, the same volume as the first rectangular prism.
a car travels at a distance of 450 kilometers in 6 hours. What speed did the car travel at?
suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 98% confidence interval of width of at most .15 for the probability of flipping a head? (note that the z-score was rounded to three decimal places in the calculation) a) 241 b) 185 c) 238 d) 188 e) 247 f) none of the above
The minimum number of coin flips required to obtain a 98% confidence interval width of at most 0.15 is 188.
Hence option d is correct.
We'll use the formula for the confidence interval of a proportion, which is given by:
CI = p-hat ± (z * sqrt(p-hat * (1-p-hat) / n))
Here, p-hat represents the sample proportion (observed proportion of heads), z is the z-score for the desired confidence level (98% in this case), and n is the number of coin flips.
We want to find the minimum number of coin flips (n) needed to obtain a confidence interval width of at most 0.15. Since we suspect that the coin is fair, we'll assume p-hat = 0.5.
For a 98% confidence interval, the z-score (rounded to three decimal places) is 2.576.
Now, we'll set up the inequality:
0.15 >[tex]= 2 * (2.576 * \sqrt{(0.5 * (1-0.5) / n))}[/tex]
Squaring both sides and solving for n, we get:
n >= [tex]((2.576 * \sqrt{(0.25))^2) / (0.15/2)^2}[/tex]
n >= 188.423
Since the number of coin flips must be a whole number, we'll round up to the nearest integer, which is 188.
Hence option d is correct.
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an x(bar) chart has a center line of 100, uses three-sigma control limits, and is based on a sample size of four. the process standard deviation is known to be six. if the process mean shifts from 100 to 92, what is the probability of detecting this shift on the first sample following the shift?
The probability of detecting this shift on the first sample following the shift would be 68.3%.
The probability of detecting can be calculated by taking the difference between the sample mean and the new process mean (92-100 = -8) and dividing it by the process standard deviation (6).
The result is -1.33, which is then used to calculate the probability of a sample mean falling within the three-sigma control limits.
The difference between the sample mean and the new process mean (92-100 = -8).
The difference by the process standard deviation (6).
The result is -1.33.
The number to calculate the probability of a sample mean falling within the three-sigma control limits.
The probability of detecting this shift on the first sample following the shift is 68.3%.For similar question on probability:
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The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the base of the hill, how high is the hill? Round to the nearest tenth.
1. 460.1 ft
2. 301.9 ft
3. 262.4 ft
4. 459.3 ft
The height of the hill in the triangle is approximately 460.1 feet, which corresponds to option 1.
What is angle of elevation?Angles are used to define how an object is situated in respect to an observer. These angles include the angle of elevation and the angle of depression. The angle of elevation is the angle formed between the horizontal and a line connecting an item above eye level and the observer. In other words, it is the angle created while gazing up at an item from the ground. On the other hand, the angle of depression is the angle formed by the horizontal and a line drawn from the observer to an object that is below their level.
For the given triangle, applying the trigonometric function we have:
tan(49°) = h / 400
h = 400 * tan(49°) ≈ 460.1 ft
Hence, the height of the hill is approximately 460.1 feet, which corresponds to option 1.
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Wyatt earned 316.50 each week for the first 3 weeks of February and 425.25 the last week of February. How much did Wyatt earn in all in February?
Wyatt's calculated total earnings for the month of February is 1374.75
How much did Wyatt earn in all in February?To find out how much Wyatt earned in all in February, we need to add up his earnings for each week.
Wyatt earned 316.50 each week for the first three weeks, so his total earnings for those three weeks were:
3 × 316.50 = 949.50
Wyatt earned 425.25 the last week of February, so his total earnings for that week were:
1 × 425.25 = 425.25
To find Wyatt's total earnings for February, we can add up his earnings for each week:
949.50 + 425.25 = 1374.75
Therefore, Wyatt earned a total of 1374.75 in February.
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