66x10=660
9.9x104=1029.6
660-1029.6=-369.6
The produce manager for a large retail food chain is interested in estimating the percentage of apples that arrive on a shipment with bruises. A random sample of 100 apples showed 12 with bruises. Based on this information, what is the margin of error for a 99 percent confidence interval estimate?
The margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.
To calculate the margin of error for a 99% confidence interval estimate, we can use the formula:
Margin of Error = Z * sqrt(p_hat * (1 - p_hat) / n)
Where:
Z is the z-value corresponding to the desired confidence level (99% confidence level corresponds to a z-value of approximately 2.576).
p_hat is the sample proportion (percentage of apples with bruises), which is calculated as the number of apples with bruises divided by the total sample size.
n is the sample size.
Given:
Sample size (n) = 100
Number of apples with bruises = 12
Calculating the sample proportion:
p_hat = 12 / 100 = 0.12
Using the z-value for a 99% confidence level (z = 2.576), we can calculate the margin of error:
Margin of Error = 2.576 * sqrt(0.12 * (1 - 0.12) / 100)
Calculating the margin of error:
Margin of Error = 2.576 * sqrt(0.12 * 0.88 / 100)
Margin of Error = 2.576 * sqrt(0.1056 / 100)
Margin of Error = 2.576 * sqrt(0.001056)
Margin of Error ≈ 2.576 * 0.0325
Margin of Error ≈ 0.0838
Therefore, the margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.
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Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees.
What is the measure of angle O in parallelogram LMNO?
35°
75°
105°
155
Answer: C.105
Step-by-step explanation: It's right on Edge 2020
The measure of angle O is 105°
The parallelogram sides are LMNO.
Properties of a parallelogramOpposite angles are equalopposite sides are equalThe sum of the angle sis 360 degrees.Angle L = x + 40
Angle O = 3x
Since opposite angles are equal and sum of angles is equals to 360 degrees. Therefore,
2(x + 40) + 2(3x) = 360
2x + 80 + 6x = 360
8x = 360 - 80
8x = 280
x = 280 / 8
x = 35
The measure of angle O is as follows:
Angle O = 3(35) = 105°learn more on parallelogram here: https://brainly.com/question/17128372
Which two integers generate the Pythagorean triple 24, 32, 40?
Answer:
3, 4, and 5 by 8.
Step-by-step explanation:
I created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triples 3, 4, and 5 by 8.
the admissions office wants to estimate the cost of textbooks for students at our college. let the variable x be the total cost of all textbooks purchased by a student this semester. the plan is to randomly identify 100 students and obtain their total textbook costs. the average cost for the 100 students will be used to estimate the average cost for all students. (a) describe the parameter the admissions office wishes to estimate.
The admissions office wishes to estimate the average cost of textbooks for all students, represented by the parameter μ (the population mean).
The parameter of the admissions officeThere are steps followed to determine the parameter the admissions office wishes to estimate:
Define the population: In this case, the population is all students at the college.Define the variable of interest: The variable of interest is the cost of textbooks for each student, represented by the variable x.Determine the parameter of interest: The parameter of interest is the average cost of textbooks for all students, represented by the population mean μ.Choose a sample: The admissions office plans to randomly select 100 students and obtain their total textbook costs.Use the sample to estimate the population parameter: The average cost for the 100 students will be used to estimate the average cost of textbooks for all students, represented by the population mean μ.Learn more about The parameter of the admissions office here:
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¿Si tienes un cilindro de 12 m de diámetro y un prisma de base cuadrada de 12m de lado cual tiene mayor volumen si la altura es la misma?
Simplify: 12(5 + 5)2 - 17 +3 в. 71 Ос. 346 OD. 1, 180 ОЕ. І, 186
Hello User!
Answer:
E. 1186
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than usual. When he weighs one of the sticks, he finds that it is 2.66 oz. The manufacturer's website states that the average weight of each stick is 2.25 oz with a standard deviation of 0.17 oz. Assume that the weight of the drumsticks is normally distributed.What is the probability of the stick's weight being 2.66 oz or greater? Give your answer as a percentage precise to at least two decimal places.
The probability of the stick's weight being 2.66 oz or greater is 0.8%.
In statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.
To find the probability of a drumstick's weight being 2.66 oz or greater, we first need to calculate the z-score. The z-score represents how many standard deviations away from the mean a particular value is.
The z-score formula is:
z = (X - μ) / σ
Where X is the observed value (2.66 oz), μ is the mean (2.25 oz), and σ is the standard deviation (0.17 oz).
z = (2.66 - 2.25) / 0.17 = 2.41
Now, we need to find the probability of the weight being greater than this z-score. You can use a z-table or a calculator to find the probability. The probability of a z-score being 2.41 or less is approximately 0.992.
Since we want to find the probability of the weight being greater than the z-score, we subtract the probability from 1:
1 - 0.992 = 0.008
So, the probability of a drumstick's weight being 2.66 oz or greater is 0.8% (rounded to two decimal places).
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In a class of 140 students, 3\5 of them are girls. how many girls are in the class?
Answer:
84
Step-by-step explanation:
3/5 of 140
=>3/5 x 140
=>3 x 28
=>84
Karen has a square rug that covers 76.5^{2} of her living room floor. Which measurement is closest to the side length of thes rug in feet?
Answer:
76.5
Step-by-step explanation:
if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5
Which relation is not a function?
A (7, 3), (7, 6), (7, 9), (7, 12),(7, 15)
B (−4, 6), (0, 6), (7, 6), (4, 6),(−7, 6)
C (4, 1), (8, 2), (12, 3), (16, 4),(20, 4)
D (1, 3), (3, 5), (5, 7), (7, 9), (9, 1)
The Answer is A.
Repeating number is not a function. It's ok to have repeating number in Y or the range but not the X which is the Domain.
Find the smallest number a such that A + BB is regular for all B> a.
The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.
A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.
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If 6x - 3 = 12 , what is the value of 12x + 8 ?
Answer:
You would first add 3 to 12 - 6x =15
x =2.5
12(2.5) = 30
Final value =38
Step-by-step explanation:
A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.What is the volume of the rectangular prism
Answer:
416mm^3
Step-by-step explanation:
volume = length x width x height
= 10.4 x 5 x 8
=416
Please help due in a hour 20 points
Answer:
Y= -2x + 19
Step-by-step explanation:
Answer:
y = - 2x - 19
Step-by-step explanation:
y = -2x + c
→ Substitute in the x and y coordinates
-7 = 12 + c
c = -19
Solve the system of equations using elimination.4x + 4y = 283x + y = 15
Answer:
x = 4 and y = 3.
Step-by-step explanation:
To solve the system of equations using elimination, we can eliminate one variable by multiplying one or both equations by appropriate constants so that the coefficients of either x or y will cancel out when added or subtracted. Let's use the second equation to eliminate y.
Multiply the second equation by -4 to make the coefficients of y in both equations the same:
-4(3x + y) = -4(15)
-12x - 4y = -60
Now, we have two equations:
4x + 4y = 28
-12x - 4y = -60
Add the two equations together:
(4x + 4y) + (-12x - 4y) = 28 + (-60)
-8x = -32
Divide both sides of the equation by -8 to solve for x:
x = (-32) / (-8)
x = 4
Substitute the value of x back into one of the original equations (let's use the second equation):
3x + y = 15
3(4) + y = 15
12 + y = 15
y = 15 - 12
y = 3
Therefore, the solution to the system of equations is x = 4 and y = 3.
Yossi used to have a square garage with 330ft squared of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
14.832ft; 18.166ft; 22.5% increase
Step-by-step explanation:
330/150=2.2
2.2 x 100= 220
\(\sqrt{220}\)=14.832
\(\sqrt{330}\)=18.166
18.166/14.832=1.225=22.5% increase
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find. One step equations
Answer:
$48.56
Step-by-step explanation:
24+24=48
28+28=55
hope it helps
gof)(6)
A. Find f(6)
B. substitute the value of g(x) into the function f(x) in place of x to find the value of f(g(x))
The value of the composite function (g o f)(6) is 3
How to evaluate the composite functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 3
g(x) = 1/5x
A. Find f(6)
substitute the known values in the above equation, so, we have the following representation
f(6) = 2 * 6 + 3
So, we have
f(6) = 15
For the function (gof)(6), we have
g(x) = 1/5x
This gives
(g o f)(6) = 1/5 * 15
Evaluate
(g o f)(6) = 3
Hence, the composite function has a solution of 3
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Complete question
Given that f(x) = 2x + 3 and g(x) = 1/5x
Compute (gof)(6)
A. Find f(6)
B. substitute the value of g(x) into the function f(x) in place of x
what relation is this graph
one-to-one, many-to-one, one-to-many, or many-to-many
For the graph given for function |x-1|, the relation is one - to - one.
What is a relation?
In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.
The graph given is a graph of function |x-1|.
The graph of |x-1| is a V-shaped graph, with the vertex at (1, 0) and the arms extending upward and downward from the vertex.
Since the graph of |x-1| passes the horizontal line test, it is a one-to-one function.
This means that every input (x-value) has a unique output (y-value) and no two different inputs can have the same output.
Therefore, the relation represented by the graph of |x-1| is a one-to-one relation.
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Find the distance between (-4, 5) and (4, 3)
Answer:
The distance betwen -4 and 5 is 9 spaces.
The distance betwen 4 and 3 is 1.
If you meant -4 and 3 then it is 7.
Step-by-step explanation:
-5 -4 -3 -2 -1 0 1 2 3 4 5
HELP!! I WILL MARK U BRAINLIEST IT DUE IN 10 MINSSS
Answer:
1 3/8
Step-by-step explanation:
Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast.
Answer:
Andrew 10 and his brother 20 years old
Step-by-step explanation:
three years ago
7 and 17 add up to 24
Hope this helps
How do you identify the leading coefficient of a polynomial?
What is coefficient of a polynomial?
The term with the highest power of x is the leading term in a polynomial.
leading coefficient of a polynomial can be identified using follows:
Example,
\(7+x-3x^{2} \\\\Leading\ term\ from\ given \ equation \ will \ be= -3x^{2}\)
so, The leading coefficient of a polynomial from given example would be -3.
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Discrete Math
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G denote the distribution over the number of girls chosen.
a. What is the range of G?
b. Give the distribution over the random variable G.
Answer:
Step-by-step explanation:
a. The range of G is the set of possible values that G can take. G represents the distribution over the number of girls chosen, so G can take any value between 0 and 2, inclusive. That is, the range of G is {0, 1, 2}.
b. To give the distribution over the random variable G, we need to determine the probability of each possible value of G.
Let's consider each possible value of G in turn:
If no girls are chosen (G=0), then both representatives must be boys. The probability of choosing a boy on the first draw is 3/10, and the probability of choosing another boy on the second draw is 2/9 (since there are only 2 boys left). Therefore, the probability of G=0 is (3/10) * (2/9) = 1/15.
If one girl is chosen (G=1), then one representative must be a girl and the other must be a boy. There are two ways this can happen: either the girl is chosen first and then the boy, or the boy is chosen first and then the girl. The probability of choosing a girl on the first draw is 7/10, and the probability of choosing a boy on the second draw is 3/9 (since there are 3 boys left). The probability of choosing a boy on the first draw is 3/10, and the probability of choosing a girl on the second draw is 7/9 (since there are 7 girls left). Therefore, the probability of G=1 is (7/10) * (3/9) + (3/10) * (7/9) = 14/45.
If two girls are chosen (G=2), then both representatives must be girls. The probability of choosing a girl on the first draw is 7/10, and the probability of choosing another girl on the second draw is 6/9 (since there are 6 girls left). Therefore, the probability of G=2 is (7/10) * (6/9) = 7/15.
Therefore, the distribution over the random variable G is:
G=0 with probability 1/15
G=1 with probability 14/45
G=2 with probability 7/15
Of the 4 students who owned a TI calculator, 2 had graphing calculators. Estimate the proportion of students who do not own a TI graphing calculator. 2 Incorrect: Your answer is incorrect.
Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.
To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.
Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.
It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.
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Find the slope and y-intercept of the following equation: Y = ¾ x - ½
Answers:
Slope = 3/4
y intercept = -1/2
================================================
Explanation:
The form y = mx+b is known as slope intercept form
m is the slope and b is the y intercept
Comparing y = (3/4)x - 1/2 to y = mx+b, we see that
m = 3/4
b = -1/2
Which triangle is a translation of triangle P?
D
4
5
A
--5--4--3--2--2₁
O triangle A
O triangle B
O triangle C
4
3
2
4
-2
-3
€
2 3 4 5 x
to
A triangle that is a translation of triangle P include the following: C. triangle C.
What is a translation?In Mathematics and Geometry, a translation can be defined as a type of rigid transformation which moves every point of the object in the same direction, as well as for the same distance.
This ultimately implies that, geometric figures that are translated would always have the same size, shape, and orientation.
In this context, we can reasonably infer and logically deduce that triangles A, B, and D have different shape, so, only triangle is a translation of triangle P.
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Complete Question:
Which triangle is a translation of triangle P?
triangle A
triangle B
triangle C
triangle D
When 12 is added to half the sum of a number and 3 the result is 28. What is the number?
Answer:
29
Step-by-step explanation:
the length of an arc of a circle is 27.1434 and the radius of the circle is 9 then the central angle is what percent of 2pi
Answer:
To find the central angle in radians, you can use the formula:
θ = s/r
where θ is the central angle in radians, s is the length of the arc, and r is the radius of the circle.
Substituting the given values, we get:
θ = 27.1434/9
θ = 3.01604 radians
To find the central angle as a percentage of 2π, we can use the formula:
θ/2π x 100%
Substituting the value of θ, we get:
(3.01604/2π) x 100%
≈ 48.04%
Therefore, the central angle is approximately 48.04% of 2π.
Step-by-step explanation:
? Find the radius and area of a circle with a circumference of 43.96. Round your answer to the nearest tenth. Use 3.14 for Radius = Area =
The equation for the circunference of the circle is
\(L=2\pi r\)\(r=\frac{L}{2\pi}=\frac{43.96}{2\cdot3.14}\)\(r=7\)Area
\(A=\pi r^2\)\(A=3.14\cdot7^2\)\(A=3.14\cdot49\)\(A=153.86\)Radius is 7
Area is 153.86