The change in elevation = Final Elevation - Initial elevation
Final elevation = Change in elevation + initial elevation
if a bird starts at 20 m in changes 16 m
Final elevation = 20 + 16
Final elevation = 36 m
a butterfly starts at 20 m and changes -16 m
Final elevation = 20 + (-16)
Final elevation = 20 - 16
Final elevation = 4 m
Kaedan and Jake went to their favorite restaurant for lunch and the tax was $3.96. They thought this was too much for a meal that only cost $48.00. What was the percentage of the tax that NC charges on prepared foods?
Find the integer that exceeds –5 by the same amount that 13 exceeds –1. \
Answer:
7
Step-by-step explanation:
13 exceeds - 1 by - 1 + 13 = 12, then
- 5 + 12 = 7
Answer:
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
13 exceeds - 1 by - 1 + 13 = 12, then
- 5 + 12 = 7
Sample estimators will both over and under estimate the true population parameter. When the over and under estimations cancel out on average, this is known as:
a. Having an efficient estimator
b. Having and unbiased estimator
c. Having no sampling error
A sample estimator is unbiased if, on average, it gives an estimate of the population parameter that is equal to the true value of the parameter. The correct option is (b) having an unbiased estimator.
An estimator is a statistical function used to estimate an unknown parameter of a population based on a sample of data. A sample estimator is unbiased if, the expected value of the estimator is equal to the true population parameter.
If a sample estimator overestimates the population parameter in some cases and underestimates it in others, the overestimations and underestimations may cancel each other out on average. In this case, the estimator is unbiased, meaning that it provides estimates that are, on average, neither too high nor too low, it means that the estimator does not systematically overestimate or underestimate the true population parameter. The correct answer is (b).
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HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
From unit conversion, it is found the following results:
6km ≈ 3.73 mi
2.5 L≈ 0.66 gal
90 lb ≈ 40.82 kg
Unit Conversion
Units of measurement are part of our daily lives. There are different units for area, length, volume, mass, and others. Because of this, it is important to know converting them.
For solving this question you need some information as:
1 km = 0.621371 mi ( unit for length and distance)
1 L = 0.2641722 gallons (unit for volume)
1 lb = 0.453592 kg (unit for mass)
Therefore,
If 1 km = 0.621371 mi, you will have:1 km -------- 0.621371 mi
6 km -------- x mi
x= 6* 0.621371
x=3.73 mi
Thus, 6km ≈ 3.73 mi.
If 1 L = 0.2641722 gallons, you will have: 1 L-------- 0.2647122 gal 2.5L -------- x gal x= 2.5* 0.2647122 x=0.66 galThus, 2.5 L≈ 0.66 gal.If 1 lb = 0.453592 kg, you will have: 1 lb-------- 0.453592 kg 90 lb -------- x kg x= 90* 0.453592 x=40.82 kgThus, 90 lb≈ 40.82 kg.Read more about unit conversion here:
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Can anyone help me with this question please ? I’ll mark as brainliest
Answer: A
Step-by-step explanation:
If you plug in the numbers from the x column into the equation in the place of x, you can figure out the answer.
Example: -10x - 15
-10(1) - 15 = -25
-10(2) - 15 = -35 and so on...
You're Welcome! :)
p=
A. i
B. -1
C. -i
D. 1
Answer:
la respuesta es capó la B
Step-by-step explanation:
xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero
HELP PLEASE this is for math
Answer:
70
Step-by-step explanation:
Step 1:
a² + b² = c²
Step 2:
56² + 42² = 4900
Step 3:
4900 ÷ 70 = 70
Answer:
70
Hope This Helps :)
its a math question!!! please help! Find the image points given the following triangle reflected across the line y = -1
D(-1,-1), E(1,3), F(3, -2)
Question options:
D'(-2,-2), E'(0,-6), F'(2,-1)
D'(2,-1), E'(21,3), F'(0,-2)
D'(1,1), E'(-1,-3), F'(-3,2)
D'(-1,-1), E'(1,-5), F'(3,0)
Answer:
Step-by-step explanation:
Point D lies on the line, so it is invariant.
Point E is a distance of 4 units away from the line y=-1, so E is now (1, -1-4)=(1, -5).
By the same logic, F' is now (3, 0).
The image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .
What is image point?The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.
According to the question
Triangle points given
D(-1,-1), E(1,3), F(3, -2)
and reflected across the line y = -1
As, we have to reflect from y = -1 , there will be no change in x axis in image points only y axis will be change .
D(-1,-1)
x axis = -1
y axis = -1
x' axis = -1
y' axis = distance from -1 to -1 = 0
therefore,
y' axis = -1
D'(-1,-1)
E(1,3)
x axis = 1
y axis = 3
x' axis = 1
y' axis = distance from 3 to -1 = |3 -(-1 ) |= 4 unit
therefore, 4 unit form -1 in negative
y' axis = - 5
E'(1,-5)
F(3, -2)
x axis = 3
y axis = -2
x' axis = 3
y' axis = distance from -2 to -1 = |-2 -(-1 )| = 1 unit
therefore, 1 unit form -1 in positive
y' axis = 0
F'(3, 0)
Hence, the image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .
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intersecting lines r, s, and t are shown below. s t 23° r 106° x° what is the value of x ?
To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.
In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.
Using the information given, we can set up the equation:
(106 degrees) + (23 degrees) + x = 180 degrees
Combine the known values:
129 degrees + x = 180 degrees
To isolate x, subtract 129 degrees from both sides of the equation:
x = 180 degrees - 129 degrees
x = 51 degrees
Therefore, the value of x is 51 degrees.
In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.
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The sum of three consecutive odd integers is fifty-seven. Find the
three numbers.
Therefore, the three consecutive odd integers are 17, 19, and 21.
What is equation?An equation is a statement that shows the equality of two expressions, typically separated by an equal sign. An equation can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that satisfy the equality.
Here,
Let x be the first odd integer, then the second and third odd integers are x+2 and x+4, respectively, since the difference between consecutive odd integers is 2.
The sum of the three consecutive odd integers is 57, so we can write:
x + (x+2) + (x+4) = 57
Simplifying and solving for x, we get:
3x + 6 = 57
3x = 51
x = 17
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Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y= 25,080 - 120x
Column 1
Column 2
Column 3
Row 1
-1
Row 2
120
This system of equations has been placed in a matrix:
y = 650x + 175
y = 25,080 - 120x
The option is ( 32.34, 21,196)
A system of equations, also called a set of simultaneous equations or a system of equations in mathematics, is a finite set of equations for which we have found a general solution. Systems of equations can be classified in the same way as individual equations. Systems of equations are applied in our daily life in modeling problems where unknown quantities can be expressed as variables.
Solving a system of equations means finding the values of the variables used in the system. Calculates the value of an unknown variable while balancing both equations. The main reason for solving a system of equations is to find the values of the variables that satisfy the conditions of all given equations. This system of equations can have different types of solutions.
1. unique solution
2. no solution
3. infinite set of solutions
Now,
We can solve the given system by making the equations equal because
y = y .
The equations are y = 650x + 175 and y= 25,080 - 120x, which forms
650x + 175 = 25,080 - 120x
⇒ 650x +120x = 25080- 175
⇒ 770x = 24905
⇒ x = 24905 / 770
⇒ x = 32.344
≈ 32.34
Using this value, we find the other one.
y = 650x + 175
⇒ y = 650 × 32.34 + 175
⇒ y = 21021 + 175
⇒ y = 21196
Therefore, the solution of the system is (32.34 , 21,196).
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On the average the time spent by college students every week on computer gaming is 15 hours with a standard deviation 3. a random sample of 350 students were taken. find the best point estimated of the population mean and 95% confidence interval for the population mean
The best point estimate is 15 hours. The 95% confidence interval for the population mean is (14.71, 15.29).
The best point estimate of the population mean is the sample mean, which is 15 hours since it was stated in the problem that the average time spent by college students on computer gaming is 15 hours.
To calculate the 95% confidence interval for the population mean, we use the formula:
CI = \(\bar{X}\) ± z*(σ/√n)
where \(\bar{X}\) is the sample mean, z is the z-score corresponding to the desired level of confidence (in this case, 95% corresponds to a z-score of 1.96), σ is the population standard deviation (given as 3), and n is the sample size (given as 350).
Plugging in the values, we get:
CI = 15 ± 1.96*(3/√350)
Simplifying, we get:
CI = 15 ± 0.29
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What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5
Answer:
C basta Yan ang sagot HAHAHA dko mapicturan solution ko e
Step-by-step explanation:
ano ba yan arte nyo sabing yan ang sagot eAnswer:
c 0.6
Step-by-step explanation:
lol
A store owner paid $15 for a book , she marked up the price of the book by 40% to determine its selling price . What is the selling price in dollars of the book ?
A $129.50
stereo is
discounted 40%.
What is the
sale price?
40% of $129.50 = $51.80
$129.50 - $51.80 = $77.70
Sale Price : $77.70
1.If a 90% confidence interval for the difference of means 1 – 2 contains all positive values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level?
A.) We can conclude that 1 > 2. B.) We can not make any conclusions. C.) We can conclude that 1 < 2. D.)We can conclude that 1 = 2.
2.If a 90% confidence interval for the difference of means 1 – 2 contains all negative values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level?
A.) We can conclude that 1 < 2. B.)We can conclude that 1 = 2. C.) We can conclude that 1 > 2. D.)We can not make any conclusions.
1) The correct option is B.) We cannot make any conclusions for the statement if a 90% confidence interval for the difference of means 1 – 2 contains all positive values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level.
A confidence interval provides a range of plausible values for the population parameter (in this case, the difference of means). If the confidence interval contains all positive values, it suggests that the true difference of means could be positive.
However, it does not allow us to conclude that 1 is strictly greater than 2. The confidence interval gives us a range of plausible values, but it does not provide definitive information about the specific relationship between 1 and 2.
2) The correct option is A.) We can conclude that 1 < 2 for the statement if a 90% confidence interval for the difference of means 1 – 2 contains all negative values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level.
If the 90% confidence interval for the difference of means 1 – 2 contains all negative values, it suggests that the true difference of means is likely to be negative.
Therefore, we can conclude, at the 90% confidence level, that 1 is statistically less than 2. However, we should note that this conclusion is based on the given confidence level and the assumption of the sampling method used to construct the confidence interval.
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Tammy is saving money to buy a game. So far she has saved $15, which is one-third of the total cost of the game. How much does the game cost?
I hope this answer would help
The radius of a cylinder is 4 inches and the height is 5 inches. Which statements are correct? Check all that apply.The area of the two bases is 16π in2.The area of the two bases is 32π in2.The lateral area is 40π in2.The lateral area is 72π in2.The total surface area is 72π in2.The Correct Answer is: 2,3,5
The radius of a cylinder is 4 inches and the height is 5 inches. The surface area is equal to the sum of the areas of all the faces of a solid.
A cylinder has two circular bases, and each circular base has an area of πr² square units, where r is the radius of the base. The lateral area of a cylinder is the area of the cylinder's curved surface, which is the height of the cylinder multiplied by the cylinder's base perimeter. It is given by the formula: 2πrh. The surface area of the cylinder is obtained by summing the lateral area and two times the area of the base. Hence, we have:
Surface area = 2πrh + 2πr²
Let us calculate the area of the two bases by plugging the given values into the formula.
Area of one base = πr²= π (4)²= 16π square inches
Therefore, the area of the two bases is 2 × 16π = 32π square inches. Thus, statement 2 is correct
Lateral area of a cylinderLateral area = 2πrh= 2 × π × 4 × 5= 40π square inches.
Thus, statement 3 is correct.
The total surface area of the cylinderTotal surface area = Lateral area + 2 × Area of base= 2πrh + 2 × πr²= 2πr(h + r)= 2π × 4(5 + 4)= 72π square inches.
Therefore, statement 5 is correct.
Therefore, the following statements are correct:Statement 2: The area of the two bases is 32π square inches.Statement 3: The lateral area is 40π square inches.Statement 5: The total surface area is 72π square inches are true.Therefore, the correct statements are 2, 3, and 5.
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Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with rodell’s method for collecting his data?.
The problem with Rodell's method for collecting data is that it may result in a biased sample.
Determine the rodell's method?Rodell is only polling the students on his football and basketball teams, which means the sample he collects is not representative of the entire student population at his school.
The favorite gaming app among the students on his teams may not be the same as the favorite gaming app among the broader student population.
To obtain a more accurate representation of the students' preferences, Rodell should aim for a random sample that includes students from various groups within the school, such as different grade levels or extracurricular activities.
This would help to minimize bias and ensure that the results reflect the overall preferences of the student body.
By solely relying on the football and basketball teams, Rodell's method limits the diversity of the sample, potentially leading to skewed results and an inaccurate conclusion about the favorite gaming app among all students at the school.
Therefore, Rodell's data collection method is flawed because it could lead to a biased sample, as it only includes students from his football and basketball teams.
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Find the range of the given data ?
Answer:
16
Step-by-step explanation:
2 is the smallest number and 8 is the largest. To find range you have to subtract the smallest number from the largest. 18-2=16
WILL GIVE BRAINLIEST
Answer:
answer is D
Step-by-step explanation:
Find dy/dx if y = ln(e^x^2+1)+e sin x
dy/dx = (1/(e^(x^2)+1)) * (e^(x^2) * 2x) + e*cos(x)
This is the derivative of the given function y with respect to x.
We want to find the derivative dy/dx of the function y = ln(e^(x^2)+1) + e*sin(x). To do this, we will apply the rules of differentiation.
First, we'll differentiate the function term-by-term. For the natural logarithm function, the derivative is (1/u) * du/dx, where u is the function inside the natural logarithm. In our case, u = e^(x^2) + 1.
The derivative of e^(x^2) is found by applying the chain rule, which gives us (e^(x^2) * 2x). The derivative of 1 is 0. Therefore, the derivative of u is (e^(x^2) * 2x). Now we can find the derivative of ln(u):
d[ln(u)]/dx = (1/(e^(x^2)+1)) * (e^(x^2) * 2x)
Next, we will differentiate e*sin(x). The derivative of e*sin(x) is found by applying the product rule. The derivative of e is e, and the derivative of sin(x) is cos(x). Applying the product rule, we have:
d[e*sin(x)]/dx = e*cos(x) + e*sin(x) * 0 = e*cos(x)
Now, adding the derivatives of both terms, we get:
dy/dx = (1/(e^(x^2)+1)) * (e^(x^2) * 2x) + e*cos(x)
This is the derivative of the given function y with respect to x.
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Please all the steps, one by one! How can this be solved?
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who received the experimental medication, 38 reported a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. We need to generate a 95% confidence interval for our comparison of proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. What is the point estimate and 95% confidence interval for the RELATIVE RISK of participants reporting a reduction of symptoms in the experimental condition as compared to the and placebo condition. RR = 1.8 95% CI (0.14 1.05) RR-23 95% CI(0.38,1.29) O RR = 1.8 95% CI (1.15,2.85) RR-0.60 95% CI (1.04, 1.68)
The risk factor is 1.8 and the Confidence level is (0.60, 2.85).
To calculate the relative risk (RR) and its 95% confidence interval for the participants reporting a reduction of symptoms in the experimental condition compared to the placebo condition, we can use the following formula:
RR = (a / b) / (c / d)
where a is the number of participants in the experimental group who reported a reduction of symptoms, b is the number of participants in the experimental group who did not report a reduction of symptoms, and c is the number of participants in the placebo group who reported a reduction of symptoms, and d is the number of participants in the placebo group who did not report a reduction of symptoms.
In this case, a = 38, b = 62, c = 21, and d = 79. So we have:
RR = (38 / 62) / (21 / 79) = 1.8
To calculate the 95% confidence interval for RR, we can use the following formula:
log(RR) ± 1.96 * √(1/a + 1/b + 1/c + 1/d)
Taking the antilogarithm of both sides of the inequality, we have:
RR- = exp(log(RR) - 1.96 * √(1/a + 1/b + 1/c + 1/d))
RR+ = exp(log(RR) + 1.96 * √(1/a + 1/b + 1/c + 1/d))
Substituting the values, we get:
RR- = exp(log(1.8) - 1.96 *√(1/38 + 1/62 + 1/21 + 1/79)) = 0.60
RR+ = exp(log(1.8) + 1.96 * √(1/38 + 1/62 + 1/21 + 1/79)) = 2.85
Therefore, the 95% confidence interval for RR is (0.60, 2.85).
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if x-y=9 and xy=2,find the value of (x square + y square)
Answer:
x² + y² = 85
Step-by-step explanation:
Using the expansion
(x - y)² = x² + y² - 2xy , then
x² + y² - 2xy = (x - y)² ( add 2xy to both sides )
x² + y² = (x - y)² + 2xy ← substitute given values
= 9² + 2(2)
= 81 + 4
= 85
The mean number of accidents a week at a company is 6. 4 with a standard deviation of 1. 5. What proportion of weeks would you expect to have more than 7 accidents?
The mean number of accidents that would be expected to be more than 7 accidents is 0.6554.
What is mean?By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
What is z-score?A statistical measurement known as the Z-score indicates how closely a value relates to the mean of a collection of values. The Z-score is calculated using standard deviations from the mean. When a data point's Z-score is 0, it means that it has the same score as the mean. One standard deviation from the mean would be indicated by a Z-score of 1.0.
Given that mean is 6.4 and the standard deviation is 1.5.
The z score is used to determine the accidents:
z = 7 - 6.4 / 1.5
z = 0.4
Using the table of normal distribution we have, P(x > 7 ) = P(z > 0.4) = 0.6554
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divide t by s, then multiply 6 by the result
hello
to solve this question, we just have to follow thr instructions as it is
\(\frac{t}{s}\times6=\frac{6t}{s}\)the answer to this question is 6t/s
The length of a pair of corresponding sides of two similar ∆'s are 3 cm and 11 cm. If the area of the first ∆ is 18 cm^2 find the area of the second ∆.
Answer:
The area of the second triangle is 242 cm²
Step-by-step explanation:
In the similar triangles
The ratio between their perimeters equals the ratio between their corresponding sidesThe ratio between their areas equals square the ratio between their corresponding sides∵ The length of a pair of corresponding sides of two similar ∆'s are
3 cm and 11 cm
→ Find the ratio of the corresponding sides
∴ The ratio of their corresponding sides = \(\frac{3}{11}\)
∵ The area of the first ∆ is 18 cm²
→ Use the second rule above
∵ \(\frac{A1}{A2}\) = \((\frac{3}{11}) ^{2}\)
∵ A1 = 18 cm²
→ Substitute it in the ratio above
∴ \(\frac{18}{A2}\) = \(\frac{9}{121}\)
→ By using the cross multiplication
∵ A2 × 9 = 18 × 121
∴ 9A2 = 2178
→ Divide both sides by 9
∴ A2 = 242 cm²
∴ The area of the second triangle is 242 cm²
Beatriz takes a simple random sample of 350350350 orders from the more than 500050005000 total orders to her store and finds that 12\, percent of the sampled orders were returned. Assuming that it is really 9\%9%9, percent of all orders to her store which were returned, what is the approximate probability that more than 12\, percent of the sampled orders would have been returned
If Beatriz takes a simple random sample of 350 orders from the more than 5000 total to her store and finds. The probability that more than 12 percent of the sampled orders would have been returned is 0.02.
How to find the probability?Mean = n * p
Mean = 350 * 0.09
Mean= 31.5
Standard deviation = √ p * (1 - p)/n
Standard deviation = √ 0.09 * 0.91/350
Standard deviation = 0.01529
Using the normal distribution table
p>0.12
P(p>0.12) =0.02
Therefore the probability that more than 12 percent of the sampled orders would have been returned is 0.02.
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