Answer: -x^6(3x-1)(9x^2+3x+1)
Step-by-step explanation:
x^6-27x^9=
x^6(1-27x^(9-6))=
x^6(1-27x^3)=
-x^6(27x^3-1)=-x^6(3x-1)(9x^2+3x+1)
∠A and ∠B form linear pair. If m∠A =(6x-19)° and m∠B=(11x-22)°, find m∠B.
Answer: 121°
Step-by-step explanation:
The measure of angle B will be \(121^0\) .
What is angle?Angle is formed by two rays lie in the plane that contains the rays.
We have,
\(m \angle A =(6x-19)^0\)
Now,
Linear pair angles are those angles whose sum is \(180^0\) .
i.e.
\(m \angle A + m \angle B=180^0\)
So,
\((6x-19)^0 +(11x-22)^0 =180^0\)
Now,
\(17x-41=180\)
\(17x=221\)
\(x=13\)
So,
\(m\angle B=(11x-22)^0\)
Putting value of x;
\(m\angle B=(11*13-22)^0\)
\(m\angle B=(121)^0\)
So, measure of angle B is \(121^0\).
Hence, we can say that the measure of angle B will be \(121^0\) .
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PLEASE HELP!!
Pythagorean Theorem (triangles)
The missing area or side length in the triangles are:
1: Area = 145 units²
2: Area = 17 units²
3: Area = 29 units²
4: Area= 27 units²
5: length = √37 units
6: length = 2√26 units
7: length = 3√11 units
8: length = 5√3 units
How to find the missing area or side length?Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. That is:
c² = a² + b²
Where a and b are the lengths of the legs, and c is the length of the hypotenuse
No. 1
Area (hypotenuse) = 81 + 64 = 145 units²
No. 2
Area (hypotenuse) = 16 + 1 = 17 units²
No. 3
Area (hypotenuse) = 5² + 2² = 29 units²
No. 4
Area (leg) = 36 - 9 = 27 units²
No. 5
length (hypotenuse) = √(6² + 1²) = √37 units
No. 6
length (hypotenuse) = √(10² + 2²) = 2√26 units
No. 7
length (leg) = √(10² - 1²) = 3√11 units
No. 8
length (leg) = √(10² - 5²) = 5√3 units
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For statements p and q, "p-q" is false; "p or q" is true. Which of the two statements,
p or q, must be false?
at least one of the two statements must be false, but we cannot determine which one for sure without additional information.
Since "p-q" is false, it means that p and q cannot both be false. In other words, at least one of them must be true.
Since "p or q" is true, it means that at least one of p and q is true.
the only possibility is that p is true and q is false, or q is true and p is false.
what is possibility?
In general, possibility refers to the state or condition of being possible, or the degree to which something is likely or can be achieved or realized. It can also refer to the existence of potential or the presence of opportunity.
In logic and probability theory, possibility is often expressed in terms of the likelihood or probability of an event or outcome. The possibility of an event refers to the degree to which it is likely to occur, based on the available evidence or information. In other words, it refers to the likelihood of a statement being true or false, or the degree of uncertainty associated with a particular proposition or hypothesis.
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Suppose the following expression is given: P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1). a) Write down the "realization" of the stochastic process implied by the above expression, and explain what it means.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.
If the process is discrete, then the function is a sequence of values at discrete points in time.
A stochastic process is one that evolves over time and the outcomes are uncertain.
The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.
To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.
The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
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If F=⟨sin 3
(x),cos(x 2
+y 2
+z 2
),e −xyz
⟩, find div(curl F) at the point (1,1,1). e
1
2e 2 0 e
The value of div(curl F) at the point (1,1,1) is 150.
Given,
F=⟨sin 3(x),cos(x 2+y 2+z 2),e −xyz⟩
Find div(curl F) at the point (1,1,1).For curl F,
We know that curl F= (d/dy)fe1 + (d/dz)fe2 + (d/dx)fe3
where, e1,e2,e3 are unit vectors and we have, fe1,fe2 and fe3 respectively.
F =⟨sin 3(x),cos(x 2+y 2+z 2),e −xyz⟩
Now, f1 = sin 3x f2 = cos(x2+y2+z2) f3 = e−xyz
Now, we need to calculate curl F,
then we get the following expression for curl F. curl F = (∂f3/∂y - ∂f2/∂z)e1 + (∂f1/∂z - ∂f3/∂x)e2 + (∂f2/∂x - ∂f1/∂y)e3=(ze^{−xyz} , −3cos(x^2+y^2+z^2) , yzcos(x^2+y^2+z^2))
at point (1,1,1).Now we need to find div(curl F).
Then, div(curl F) = ∂M/∂x + ∂N/∂y + ∂P/∂z
Where, curl F =⟨M,N,P⟩
Now, substituting the values of M,N, and P, we get;
div(curl F) = ∂(ze^{−xyz})/∂x + ∂(−3cos(x^2+y^2+z^2))/∂y + ∂(yzcos(x^2+y^2+z^2))/∂z= 0 + 6y*sin(x^2+y^2+z^2) + xy*sin(x^2+y^2+z^2)e^2 at the point (1,1,1).
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help please ????????
Answer:
Check out ironic p a n d u h on you tube
Step-by-step explanation:
the awnser is nowhere
Libby is fencing in a playground. She has studied her budget and come up with two options she can afford:
Option 1: a triangle with base length 9 meters and height 12 meters. Option 2: a rectangle with length 10 meters and width 8 meters.
Which option will maximize the area, and what is the area?
A: Option 1: Triangle with area 54 square meters
B: Option 1: Triangle with area 108 square meters
C: Option 2: Rectangle with area 40 square meters
D: Option 2: Rectangle with area 80 square meters
Answer:
D: Option 2: Rectangle with area 80 square meters
Step-by-step explanation:
Option which maximize the area of Libby's playgoround fencing is equals to rectangle with area \(80\) square meters.
What is area?
" Area is defined as the total space occupied by two dimensional geometrical shape enclosed in it."
Formula used
Area of a triangle \(= \frac{1}{2} \times base \times height\)
Area of a rectangle = length × width
According to the question,
Given,
Libby is fencing a playground with two option:
Option \(1\) : Triangle with
Base length \(= 9\)meters
height \(= 12\)meters
Substitute the values in the formula we get,
Area of a triangle \(= \frac{1}{2} \times 9\times 12\)
\(= 54\) square meters _____\((1)\)
Option \(2\) : Rectangle with
length \(= 10\) meters
width \(= 8\) meters
Area of a rectangle \(= 10 \times 8\)
\(= 80\) square meters _______\((2)\)
From \((1)\) and \((2)\) we get,
Option which maximize the area is rectangle that is Option\(2\).
Area \(= 80\) square meters
Hence, Option(D) is the correct answer.
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URGENT!! Consider the piece wise function. The function has a discontinuity at x=1. What are the limits? Will give brainliest!
Therefore the option A represents piecewise function
The function f(x) can be represented as a piecewise function as follows:
Define piecewise function?
A piecewise function is one that has several sub-functions, each of which applies to a distinct interval of the domain of the main function. Each sub-function covers a certain portion of the domain of the main function. When an input value passes specific "boundaries," a rule or relationship changes. This is referred to as a piecewise function.
Define domain?
The domain of a function is the set of all possible input values (often the “x” variable) which produce a valid output from a particular function. In other words, it is the set of all real numbers that can be plugged into a function and yield a real number result.
f(x) = { 2x if x<1,
-4 if x=1,
x+8 if x>1 }
The function has a discontinuity at x=1. To find limx→1f(x), we need to find the left-hand limit and the right-hand limit separately.
limx→1- f(x) = limx→1- 2x = 2
limx→1+ f(x) = limx→1+ (x+8) = 9
Therefore, limx→1f(x) does not exist because limx→1- f(x) is not equal to limx→1+ f(x).
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Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.
Option a, 2x + 1, 6 and 13, 7 and 15.
Here, we are given input-output table as shown in the figure.
To find the equation for this table let us look at each option one by one-
a. 2x + 1
Here if we take input x = 2
output = 2(2) + 1
= 5
If x = 3
output = 7
and if we check for other values also, 2x + 1 will satisfy.
Thus, 2x + 1 is the correct equation.
we can check the points as well-
if x = 6
output = 2(6) + 1 = 13
and if x = 7
output = 2(7) + 1
= 15
Since, we've found the correct answer in option a, we do not need to check the other options.
Thus, option a is the correct answer.
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Statistical sampling:_________.
a. is typically less complicated than non-statistical sampling
b. can be used in addition to testing specific items from a population
c. should generally not be used for auditing engagements
d. can be used instead of testing specific items from a population
a uniform distribution is defined over the interval from 12-20. what is the probability of value less than 13 occurring?
In a uniform distribution over the interval from 12 to 20, the probability of a value less than 13 occurring can be calculated by determining the relative length of the subinterval from 12 to 13 compared to the total length of the distribution. The probability in this case is 1/8 or 0.125, which can also be expressed as 12.5%.
A uniform distribution is characterized by a constant probability density function within a specified interval. In this case, the interval is from 12 to 20. To find the probability of a value less than 13 occurring, we need to determine the relative length of the subinterval from 12 to 13 compared to the total length of the distribution.
The total length of the distribution is 20 - 12 = 8 units. The length of the subinterval from 12 to 13 is 13 - 12 = 1 unit. Therefore, the ratio of the length of the subinterval to the total length of the distribution is 1/8. This ratio represents the probability of a value falling within the subinterval from 12 to 13. Thus, the probability of a value less than 13 occurring in this uniform distribution is 1/8 or 0.125, which is equivalent to 12.5%.
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The outside temperature can be estimated based on how fast crickets chirp.
At 104 chirps per minute, the temperature is 63"F.
At 176 chirps per minute, the temperature is 81"F.
Using this information, you can make a formula that relates chirp rate to temperature. Assume the relationship is linear, that is the points form a straight line when plotted on a graph. What is the temperature if you hear 156 chirps per minute?
temperature: __"F
What is the temperature if you hear 84 chirps per minute?
temperature: __"F
The temperature is 77°F if you hear 156 chirps per minute and is 59°F if you hear 84 chirps per minute.
Given, the outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63"F and at 176 chirps per minute, the temperature is 81"F. We need to find the temperature if you hear 156 chirps per minute and 84 chirps per minute.
Let the temperature corresponding to 104 chirps per minute be T1 and temperature corresponding to 176 chirps per minute be T2. The corresponding values for temperature and chirp rate form a linear relationship. Taking (104,63) and (176,81) as the two points on the straight line and using slope-intercept form of equation of straight line:
y = mx + b
Where m is the slope and
b is the y-intercept of the line.
m = (y₂ - y₁)/(x₂ - x₁) = (81 - 63)/(176 - 104) = 18/72 = 0.25
Using point (104,63) and slope m = 0.25, we can calculate y-intercept b.
b = y - mx = 63 - (0.25 × 104) = 38
So the equation of the line is given by y = 0.25x + 38
a) Temperature if you hear 156 chirps per minute:
y = 0.25x + 38
where x = 156
y = 0.25(156) + 38y = 39 + 38 = 77
So, the temperature is 77°F if you hear 156 chirps per minute.
b) Temperature if you hear 84 chirps per minute:
y = 0.25x + 38
where x = 84
y = 0.25(84) + 38y = 21 + 38 = 59
So, the temperature is 59°F if you hear 84 chirps per minute.
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One of the most common standardization methods for test scores is to measure how far test scores deviate from the mean in terms of standard deviation. Mathematically, if M and S are the mean and the standard deviation of test scores, a test score of Y will be standardized to (Y−M)/S. For example, if 100 and 5 are the mean and the standard deviation, then a score of 112 will be standardized to (112−100)/5=2.4. Suppose that 6 people take a test. Test scores are 85,60,90,60,90,95. What would be the standardized score if the test score is 90? Hint 1) Use these approximates:
150
≈12.25,
200
≈14.14, and
250
≈15.81. Hint 2) Round the answer to the second decimal place. Hint 3) Use the sample version formula for variance and standard deviation. a. 0.32 b. 0.63 c. −1.27 d. −0.67 e. 0.95 QUESTION 2 Former Carolina Panthers' quarterback Cam Newton won MVP in 2015 season. In the MVP season, his passing yards in 16 regular season games are given below: [ Find the range of his passing yards. a. 269 b. 124 c. 183 d. 216 e. 340
A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The range of customer satisfaction scores is a. 4
To find the range of customer satisfaction scores, we need to calculate the difference between the highest and lowest scores.
The highest score in the given data set is 10, and the lowest score is 6. Therefore, the range is 10 - 6 = 4.
The range is a measure of variability and represents the spread of the data. In this case, the customer satisfaction scores range from 6 to 10, indicating a spread of 4 points on the scale.
It's important to note that the range only considers the highest and lowest scores and does not take into account the distribution of the remaining scores.
Therefore, it provides a limited understanding of the overall variability in customer satisfaction.
Other measures such as standard deviation or interquartile range may provide a more comprehensive analysis of the data distribution.
The correct option is: a. 4
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Complete question below :
A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The survey results for a sample of 50 customers are as follows: 8, 9, 7, 6, 9, 8, 10, 7, 8, 6, 7, 9, 10, 9, 8, 7, 6, 9, 8, 10, 7, 6, 7, 8, 9, 10, 8, 7, 9, 8, 6, 7, 9, 8, 10, 7, 8, 6, 9, 8, 7, 10, 9, 8, 6, 7, 9, 8, 10, 7, 8.
What is the range of customer satisfaction scores?
a. 4
b. 3
c. 5
d. 2
e. 1
A normal curve is:a) Symmetricalb) Skewed to the leftc) Uniformd) Skewed to the right
A normal curve is symmetrical, with the mean, median, and mode being equal and located at the center of the curve.
It is not skewed (left or right) nor uniform.
A normal curve is a) symmetrical.
A normal curve, also known as a Gaussian curve or a bell curve, is a symmetrical probability distribution curve that represents the distribution of a set of data.
In a normal curve, the mean, median, and mode are equal and located at the center of the curve.
Because the curve is symmetrical, it has the following characteristics:
It is unimodal, meaning it has a single peak.
The tails of the curve extend infinitely in both directions, but the probability of data points at the tails decreases as we move further away from the mean.
The area under the curve equals 1, representing the total probability of all possible outcomes.
In contrast, skewed distributions (left or right) have an asymmetrical shape where the tail extends more prominently in one direction.
A left-skewed distribution has a longer tail on the left side, while a right-skewed distribution has a longer tail on the right side.
Skewed distributions can lead to inaccurate conclusions when using measures of central tendency like the mean.
A uniform distribution is another type of probability distribution where all outcomes have equal probabilities.
In this case, the curve appears as a horizontal line (a rectangle), with no peak or skewness.
A normal curve is a) symmetrical.
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The answer is a) Symmetrical. A normal curve is symmetrical, meaning that it has the same shape on both sides of the central axis.
This is also referred to as a bell curve, as it forms a bell-shaped curve. The term uniform refers to a distribution where all values are equally likely, which does not apply to a normal curve.
A normal curve is a symmetrical bell-shaped curve that represents the probability distribution of a continuous random variable. It is often used as an approximation to the graph of scores or measurements consisting of many bunched values near the average in the middle and a few large and a few small values arranged toward the opposite ends. A normal curve has a mean, median, and mode that are equal and located at the center of the curve. The standard deviation determines how spread out the values are from the mean
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El sueldo bruto de un trabajador de la educación es de 900.000 pesos, si el descuento total que le harán corresponde al 20% de su sueldo ¿Cuánto será su sueldo líquido?
Answer:
Sueldo neto= $160.000
Step-by-step explanation:
Dada la siguiente información:
Sueldo bruto= $200.000
Descuento total= 20%
Para calcular el sueldo neto, debemos usar la siguiente formula:
Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)
Sueldo neto= 200.000*( 1 - 0.2)
Sueldo neto= $160.000
HELPPP PLEASE!!!
The store has 61 guppies divided into 8 aquarium tanks, and a small display aquarium on
the sales counter. Each of the 8 tanks has an even number in them with the remaining
guppies in the display aquarium. How many guppies are in each aquarium and in the
display aquarium?
Answer:
5 in display, 7 in each aquarium.
Step-by-step explanation:
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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Hello, I need some help with this homework question, please?HW Q23
Given:
\(y=x^2-6x-9\)Required:
Recognition of the graph of the given equation
explanation:
By pitting x = 0
\(y=\text{ 0}^2-6(0)-9\)\(=-9\)By putting x = 1
\(\begin{gathered} y=\text{ 1}^2-6(1)-9 \\ =\text{ -14} \end{gathered}\)Hence the graph cuts the y-axis at -9 for x = 0 and y = -14 for x = 1. So our required graph is the first one.
Final Answer:
Option A
-4 x -5 = can anyone help me
Answer:20
Step-by-step explanation:
Trust me
6. What is the constant of proportionality of the linear function?
Time, x 12 3 4
Cost ($), y 25 50 75 100
F. 2 G. 12 H. 25 I. 50
Pls help!!
The table has a constant of proportionality of 25
How to determine what is the constant of proportionality?The table represents the given parameter
On the table, we have the following points
(x, y) = (1, 25)
The constant of proportionality of the points is then calculated as
k = y/x
Substitute the known values in the above equation
So, we have
k = 25/1
Evaluate the quotient
So, we have
k = 25
Hence, the constant of proportionality of the table is 25
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I need help with problem 11
Answer: The triangles are not congruent.
Step-by-step explanation:
Because there is not enough information to tell us that these triangles are congruent (there would have to be at least 3 congruent things shared among the two triangles to even consider checking for congruency, and there are only two), the triangles are not congruent by any theorem or postulate.
I hope this helps!
These triangles are not congruent !
How?To prove any two triangle congruent we need at least three congruent components in the triangles. These components can be Side, Angle. The triangles which we are given, shows one angle congreunt and one side congruent which is not enough informtaion to prove them congruent.7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is
Answer:
something.....................
the areas of two squraes differe by 100 square units, an the perimeters of the two square differ by 1 units. what is the perimeter, in units, of teh smaller square
The perimeter of the smaller square is 12 units.
The area of a square is equal to the side length of the square squared. Therefore, the difference in area between two squares is equal to the difference in the side lengths of the squares squared. Since the difference in area between the two squares is 100 square units and the side lengths of the squares differ by 1 unit, we can set up the equation (x + 1)^2 - x^2 = 100, where x is the side length of the smaller square.
Expanding the right side of the equation and solving for x, we find that x = 3. The perimeter of a square is equal to the side length multiplied by 4, so the perimeter of the smaller square is 3 * 4 = 12 units.
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What is the value of a?
a+36°
a-27°
Answer:
hope this will help you more
Which is the product of (1 + 4x + 3x2)(2 – 7x – 9x2)?
(
?
Answer:
\(\textsf{B.} \quad 2+x-31x^2-57x^3-27x^4\)
Step-by-step explanation:
Given expression:
\((1+4x+3x^2)(2-7x-9x^2)\)
Use the distributive law and separate the first polynomial:
\(\implies 1(2-7x-9x^2)+4x(2-7x-9x^2)+3x^2(2-7x-9x^2)\)
Multiply the monomials from the first polynomial with each term of the second polynomial:
\(\implies 2-7x-9x^2+8x-28x^2-36x^3+6x^2-21x^3-27x^4\)
Collect like terms:
\(\implies 2+8x-7x-9x^2-28x^2+6x^2-36x^3-21x^3-27x^4\)
Combine like terms:
\(\implies 2+x-31x^2-57x^3-27x^4\)
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the dimensions of a block of stamps are 30 cm wide by 20 cm high. the same number of stamps could also have been arranged in a block 24 cm wide. How high would this second block be?
Answer:The hight of such a stamp block would have to be 26 cm high by 24 cm wide
Step-by-step explanation: The way that i got my answer was by using this equation A+B=C
1.) 30cm+20cm=50cm
2.) 24cm+x=50cm
3.)50cm-24cm=x
4.)26cm=x
the indexed variables (members) of an array must be integers. true or false
It is true that the indexed variables (members) of an array must be integers.
The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.
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What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000?
Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by \(\mu = 57300, \sigma = 9600\).
For samples of 64, the standard error is given by:
\(s = \frac{9600}{\sqrt{64}} = 1200\)
The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:
X = 58300:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{58300 - 57300}{1200}\)
Z = 0.83
Z = 0.83 has a p-value of 0.7967.
X = 56300:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{56300 - 57300}{1200}\)
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
0.7967 - 0.2033 = 0.5934.
0.5934 = 59.34% probability that there is an error of at most $1000.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
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