In statistics, a confidence interval is a range of values that is expected to contain the unknown population parameter, with a certain degree of confidence. It is a measure of the uncertainty of an estimate. A confidence interval can be calculated for the difference between two means.
A confidence interval for the difference in means provides a range of plausible values for the difference between two population means. This interval is calculated based on a sample from each population and provides information about the range of possible values for the difference in means between the two populations. A 90% confidence interval is a range of values that is expected to contain the true population parameter 90% of the time. The formula for the 90% confidence interval for the mean difference in wholesale price between the two companies is given by:mean difference ± t * (standard error of difference)
where t is the t-value from the t-distribution with n1 + n2 - 2 degrees of freedom, and the standard error of difference is given by:
\(sqrt(((s1^2 / n1) + (s2^2 / n2)))\\\)
Here, s1 and s2 are the sample standard deviations of the two samples, n1 and n2 are the sample sizes of the two samples, and the mean difference is the difference between the two sample means.
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help please
What is the Range of the function?
The range of the function f(x) = 3x - 4, having domain x ≥ 1 is x ≥ -1 and the graph is attached below so, option D is correct.
What is range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
The function, f(x) = 3x - 4,
Domain = x ≥ 1
When domain = 1,
Range = 3 × 1 - 4 = -1
When domain = 2
Range = 3 × 2 - 4 = 2
Thus, you can conclude the range of the function as x [-1, ∞) or x ≥ -1
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need help!!! will mark brainliest!!!!!!
Answer:
right 1 unit and down 5 units
Step-by-step explanation:
Ben has 26 cousins. Sixteen of the cousins are female. What fraction of the cousins are male?
Ben has 26 cousins. Sixteen of the cousins are female. What fraction of the cousins are male?
Answer:
10/26 are male cousins
Answer:
10/26 are male. The simplified fraction would be 5/13
If cos f° = four ninths and the measure of segment xw is 16 units, what is the measure of segment xy? triangle xyw in which angle w is a right angle, angle x measure f degrees, and angle y measures d degrees 16 units 27 units 30 units 36 units
The measure of the segment xy of the given right angle triangle is; 36 units
How to use trigonometric ratios?This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;
Cos f = Adjacent / Hypotenuse
Thus;
Cos f = 4/9
From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;
4/9 = 16/XY
Where XY is the unknown side
By cross multiplication, you now arrive at,
4XY = 9 * 16
XY = 144/4
XY = 36
Therefore, XY measures 36 units
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Find me X please i will give you 15 points
Answer:
x=145
Step-by-step explanation:
A circle have at max 360 degrees.
\(40 + 85 + 90 + x = 360\)
\(125 + 90 + x = 360\)
\(215 + x = 360\)
\(x = 145\)
Answer:
145
Step-by-step explanation:
there is 360 degrees in a circle . 85 , 40 and the right angle which is 90 add up to 215 so you subtract 215 from 360 to get 145
What are the degrees of freedom for the F test in a one-way ANOVA? 0A (n - c) and (c ~ 1) 0 B. (c ~ 1) and (n ~c) 0 C (n - 1) and (c-n) 0 D. (c - n) and (n - 1)
The degrees of freedom for the F test in a one-way ANOVA are D. (c - n) and (n - 1).
The numerator degrees of freedom (c - n) is the number of groups (c) minus the number of observations in each group (n). The denominator degrees of freedom (n - 1) is the total number of observations (n) minus the number of groups (1). These degrees of freedom are used to calculate the F statistic, which is used to determine if there is a significant difference between the means of the groups. The degrees of freedom for the F test in a one-way ANOVA are given by two values. The first value represents the degrees of freedom between groups (DFbetween), and the second value represents the degrees of freedom within groups (DFwithin). The correct is B. (c - 1) and (n - c), where 'c' represents the number of groups (categories) and 'n' represents the total number of observations (data points) in the dataset.
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true or false When you subtract a negative number from a positive number, the difference is always positive
Answer:
it is false
Step-by-step explanation:
Could you please help me out with , don't copy! unique answer!
What are the characteristics of monopoly? what is price discrimination? Can tou give an example of price discrimination in real world?
Answer:
Monopoly is a market situation in which a single firm produces a good or service that has no close substitutes, and the company is the only seller.
The following are some of the qualities of monopoly:
Characteristics of Monopoly: The following are some of the features of monopoly:
Single Seller: The most important feature of a monopoly is that it has only one seller.
No close substitutes: Another important feature of monopoly is that the commodity has no close substitutes.
No entry: A monopoly industry cannot have any new competitors in the market.
Price Discrimination: Price discrimination is the process of charging various prices for the same product or service to different customers or groups of customers.
In order for price discrimination to be successful, the following conditions must be met: The product must be a luxury. The seller must be a monopoly. The seller must be aware of the various markets' price elasticity.Real-World Examples:
The following are some examples of price discrimination in the real world:
Student Discount: Colleges and universities provide students with discounted tickets, subscriptions, or software licenses based on their student status.
Senior Citizen Discount: Senior citizens are offered discounts on a variety of goods and services, including transportation, health care, and entertainment.
Matinee Discount: Some movie theaters offer discounted tickets for daytime screenings.
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suppose a is a 3 × n matrix whose columns span r 3 . explain why there must exist an n × 3 matrix d such that ad = i3. does this imply that a is invertible?
If matrix A is a 3 × n matrix whose columns span ℝ³, it means that the columns of A can create any vector in ℝ³ through linear combinations. This implies that A has full column rank, which is equal to 3.
To show that there exists an n × 3 matrix D such that AD = I₃, we can consider the fact that A has full column rank. This means that the columns of A are linearly independent. Since the columns of A span ℝ³, they form a basis for ℝ³.
We can construct matrix D by taking the inverse of the matrix whose columns are the columns of A. Since the columns of A form a basis for ℝ³, the inverse matrix will exist and will be an n × 3 matrix.
By multiplying A with matrix D, we get AD = I₃, where I₃ is the identity matrix of size 3 × 3. This implies that A is a left inverse of D.
However, this does not necessarily mean that A is invertible. For A to be invertible, it should also have full row rank, which means that the rows of A are linearly independent. In this case, A may not have full row rank, as it has more columns than rows (n > 3). Therefore, A may not be invertible.
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Is an example of quadratic inequality?
The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.
This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.
Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.
Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.
Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.
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If rick has 35 oranges and he divide them into equally into 7 bags. what fraction represents the number of oranges rick puts in each bag?
in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens.
American adults believes in alien for the given 95% confidence interval and sample surveyed is in the interval range of ( 0.66 , 0.78 ).
As given in the question,
Sample of American adults surveyed 'n' = 200
Percent of people believes in aliens are success 'p'= 72%
= 0.72
Percent of people who don't believes (failure) in aliens ' 1 - p' = 1 - 0.72
= 0.28
95% Confidence interval that represents Americans adults who believes in aliens
value of z - score for 95% confidence interval = ± 1.96
Margin of error 'MOE'= (z-score)√p ( 1- p) /n
= ( 1.96)√(0.72 × ( 1 - 0.72 )/ 200
= 1.96 ( √0.2016 / 200)
= 1.96 ×√0.001008
= 0.063
Lower limit = p - MOE
= 0.72 - 0.063
= 0.66
Upper limit = p + Margin of error
= 0.72 + 0.063
= 0.78
Therefore, 95% confidence interval with sample size of the Americans adults who believes in alien are in the interval of ( 0.66 , 0.78 ).
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What is the value of y in the solution to the system of equations?
1/3x+ 1/4y=1
2x - 3y = -30
-8
-3
0 3
O 8
Answer:
y=8,x=-3
Step-by-step explanation:
1/3×+1/4y=1
lcm=12
multiply through by lcm to get equation 1
4x+3y=12
equation 2
2×-3y=-30
equation 2 by 2
using the substitution method
y=8
x=-3
x- intercept of - 4 and y-intercept of -3
Answer:
(-4,-3)
Step-by-step explanation:
Not sure if tht was what you were asking, but that's how u write it as a point or vertex
Which point is a solution to the inequality shown in this graph?
A (6,0)
B (5,-5)
C (0,-3)
D (0,-5)
Answer:
(0,-3)
Step-by-step explanation:
Apex
a painter leans a ladder against a vertical wall. the top of the ladder is 15 meters above the ground. when the bottom of the ladder is moved 3 meters farther away from the wall, the top of the ladder is 11 meters above the ground. what is the length of the ladder? round to the nearest hundredth of a meter.
From the ground the length of the ladder is 15 feet.
Step-by-step explanation:
From the Pythagorean Theorem, the situation described can be expressed mathematically as:
x² +9² = (x+3)²
or,
x² + 81 = x² + 6x + 9
Now, cancelling equal terms on either side of the equation and reducing gives:
x = 12
Since the ladder is defined to be 3 feet longer than the distance of its foot to the wall the ladder’s length must be:
12 feet + 3 feet
=15 feet
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Kelly has ¾ of a pie left. She wants to split the pie with 3 of her friends. How much of the pie will each person get?
Answer:
1/4 od pie.
Step-by-step explanation: So 3/4 divided by 3 is 1/4
what is equivialent to 8\11
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
Hope this helps :)
Pls brainliest...
0.55 to .1 percentage decrease
_______
\(0.55 \to0.1\)
\( = \frac{55}{100} \to \frac{10}{100} \)
\( = 55\% \to10\%\)
= -45%
f(x, m, s) = 1 √278² exp (-2/2 (x-m) ²) 28² Write a function in the form of gauss(x, m=0, s=1) for computing the Gaussian density. Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. Give the name of question5b (c) x-0, m-2, s-1. Give the name of question5e (d) x=0, m=2, s=2. Give the name of question5d (e) x=3, m-3, s-3.
Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.
To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.
First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:
Principal = $1,000
Rate of interest per period = 8% / 4 = 2% per quarter
Number of periods = 12 quarters
Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^12
≈ $1,166.41
Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):
Principal = $1,000
Rate of interest per period = 2% per quarter
Number of periods = 8 quarters
Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^8
≈ $1,165.16
Finally, we add the two values to find the total value of the account on January 1, 2021:
Total value = Value after three years + Value after two years
≈ $1,166.41 + $1,165.16
≈ $2,331.57
Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.
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Use centered finite difference to solve the boundary-value ordinary differential equation: dาน dx2 +607 – u = 2 with boundary conditions (0) = 10 and u(2)=1 Use discretization h = 0.5 and solve the resulting system of equations using Thomas algorithm. dx =
The Thomas algorithm is then applied to solve this system. The computed values of u are u(1) = 6.1111 and u(2) = 1, given a step size of h = 0.5 and boundary conditions u(0) = 10 and u(2) = 1.
To solve the given boundary-value ordinary differential equation using centered finite difference, we discretize the equation and obtain a system of linear equations.
Given,
The boundary-value ordinary differential equation is
d²u/dx² + 607 – u = 2,
with boundary conditions u(0) = 10 and u(2) = 1.
Discretization: h = 0.5
To solve the differential equation using centered finite difference,
we use the formula:
(u(i+1)-2u(i)+u(i-1))/h² + 607u(i) = 2
The above formula can be written in the following form as shown below:-u(i-1) + (607h²+2)u(i) - u(i+1) = -2
Discretizing the boundary conditions,
we getu(0) = 10 and u(2) = 1
As we know, the differential equation can be written in the form of
Ax = b, where A is a tri-diagonal matrix.
Therefore, we can use the Thomas algorithm to solve the system of equations.
The Thomas algorithm consists of two steps:
Forward Elimination and Backward Substitution.
Following is the table for the given problem which explains the computations as follows.
Central finite difference for 2nd derivative
d²u/dx²
evaluated at xi=ih
(u(i+1)-2u(i)+u(i-1))/h²
Right-hand side is b
(i)Left-hand side is represented as coefficients c(i), d(i) and e(i) for i=1,2,.....,m.Here, m=3/h.
Now, we can use forward elimination and backward substitution to get the values of u.
Therefore, the value of u can be calculated as given below:-
So, the value of u is,u(1) = 6.1111 and u(2) = 1
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(-9,-5) and (-1, -9)
Answer:
(-5,-7)
Step-by-step explanation:
See image for explanation
i need help plzzzz!!!!!! find the area
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
area = 387 ft^2
3 bags
Step-by-step explanation:
See the picture below.
The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.
The left figure shows half of the triangle. We need to find h, the height of the triangle.
For a regular pentagon, the measure of each interior angle is
(n - 2)180/5 = 108
Half of the angle is 54 deg.
tan A = opp/adj
tan 54 = h/7.5
h = 7.5 * tan 54
h = 10.32 ft
Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2
The pentagon is made up of 5 larger triangles or 10 half triangles.
Area of pentagon = 10 * 38.7 ft^2
Area of pentagon = 387 ft^2
1 bag is good for 150 ft^2.
387 ft^2/150 ft^2 = 2.6
She needs 2.6 bags, so she must buy 3 bags.
Answer: 3 bags
Reasoning How can you use proportional
easoning to make an estimate about a
population using data from a sample?
Proportional reasoning can be used to make an estimate about a population using data from a sample by assuming that the sample is representative of the population as a whole.
What is proportional reasoning ?Proportional reasoning involves using the relationship between different parts of a whole to estimate an unknown value.
To apply proportional reasoning to a population estimate, you would first need to gather a random sample of individuals from the population. Then, you could use the data from the sample to estimate the value of a particular characteristic or parameter for the entire population.
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AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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help pleasejhdfjg THIS ASSIGNMENT IS LIKE 2 WEEKS OVERDUE
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.
What is an area model?An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.
b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.
2x⁴ − 3x³ − 2x² − 4x − 1
+---------------------------------------
x | 2x⁵ -3x⁴ -2x³ -4x² -x
|
3 | 6x⁴ -9x³ -6x² -12x -3
+---------------------------------------
c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.
x + 8 x - 5
+--------------------
x | x² + 8x x² - 5x
|
-5 | -5x + -40 -5x + 25
+--------------------
The final total area can be found by adding up the areas of the smaller rectangles:
Total area = x² + 8x + x² - 5x - 5x - 40 + 25
= 2x² - 10x - 15
= 2x² - 10x - 15.
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please help me !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20
Step-by-step explanation:
15 is the mid so +5 is 20 thus 20 is the anser
Kristin spent $100 on shirts. Fancy shirts cost $15 and plain shirts cost $4. If she bought a total of 14 then how many of each kind did she buy?
she can buy 25 normal shirts and six fancy shirts
I need help plisss giving brainliest
Answer:
1) \(y=\frac{3}{2}x+8\)
2)\(y=\frac{13}{11}x +\frac{12}{11}\)
3)\(y=\frac{9}{7}x+1\)
4)\(y=\frac{1}{3}x-2\)
5)\(y=-\frac{6}{5}x-3\)
6)\(y=4x-1\)
7)\(y=\frac{11}{4}x-8\)
8)\(y=\frac{11}{8}x+6\)
Answer:
\(\sf 1) 3x-2y=-16\)
subtract both sides by 3x:
\(\sf -2y=-16-3x\)
\(\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}\)
\(\boxed {\sf y=\frac{3}{2}x +8}\)
________________
\(\sf 2) 13x-11y=-12\)
Subtract 13x from both sides:
\(\sf 13x+11y-13x=-12-13x\)
\(\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}\)
\(\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }\)
___________________
\(\sf 3) 9x-7y=-7\)
Subtract 9x from both sides:
\(\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}\)
\(\boxed {\sf y=\cfrac{9}{7} \:x+1}\)
___________________
\(\sf 4)x-3y=6\)
Add 3y from both sides:
\(\sf x-3y+3y=6+3y\)
\(\sf x=6+3y\)
Subtract 6 from both sides:
\(\sf x-6=3y\)
Divide both sides by 3:
\(\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}\)
\(\sf \cfrac{1}{3} \:x-2=y\)
\(\boxed {\sf y=\cfrac{1}{3} \:x-2}\)
____________________
\(\sf 5) 6x+5y=-15\)
Subtract 6x from both sides:
\(\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}\)
\(\boxed {\sf y=-\cfrac{6}{5} \:x-3 }\)
_____________________
\(\sf 6) 4x-y=1\)
Subtract 4x from both sides:
\(\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}\)
\(\boxed {\sf y=4x-1}\)
_______________________
\(\sf 7)11x-4y=32\)
Subtract 11x from both sides:
\(\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}\)
\(\boxed {\sf y=\frac{11}{4} \:x-8}\)
_______________________
\(\sf 8) 11x-8y=-48\)
Subtract 11x from both sides:
\(\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}\)
\(\boxed {\sf y=\frac{11}{8} \:x+6}\)
________________________________
Simplify (2x-9)(4x+1)
Answer:
the answer is 8x^2-34x-9
Answer:
8x^2 - 34x - 9
Step-by-step explanation: