When the null hypothesis is rejected, the F-ratio and probability of rejection both rise.
The F-ratio is calculated using the formula F = variance between treatments/variety within treatments. An increase in the numerator will raise the F-ratio, while a reduction in the denominator will raise it even further. The probability of rejecting the null hypothesis rises with increasing F.When the null hypothesis is rejected, the F-ratio and probability of rejection both rise.
The null hypothesis for an ANOVA test is that the means of the different groups are equal. If the F-ratio is high enough (i.e., if it is significantly different from 1), then it is likely that the means of the different groups are indeed different. Therefore, if the variance between treatments increases and the variance within treatments decreases, then the F-ratio will be higher, and the likelihood of rejecting the null hypothesis will be greater.
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solve for x in square. Given: (6x-21)
Answer: 3.5
Step-by-step explanation:
To solve for x in a square, you need to find the value of x that makes the square equal to zero. In this case, the square is given by (6x-21), so we can solve for x by setting this expression equal to zero and then solving for x.
To solve the equation (6x-21) = 0, we can use basic algebraic techniques. First, we can add 21 to both sides of the equation to get (6x-21) + 21 = 21. Then, we can use the distributive property to expand the left-hand side of the equation as follows:
(6x-21) + 21 = 21
6x - 21 + 21 = 21
6x = 21
Finally, we can divide both sides of the equation by 6 to find the value of x that makes the square equal to zero:
6x = 21
x = 21 / 6
x = 3.5
Therefore, the value of x that makes the square (6x-21) equal to zero is x = 3.5.
Kim is a sales representative for a medical software company. She's planning to start saving for her son's college education and her ownretirement. Kim could start contributing to her employer-sponsored_________for retirement and __________for her son's college education.
Kim could start contributing to her employer-sponsored 401 K for retirement and 529 plans for her son's college education.
401(k) is an employer sponsored retirement benefits plan where the employer and employee contribute a percent of the employee's benefits or gross income every payday in order that the funds can be used to to generate further wealth by a way of investment for the benefit of the employees upon retirement.
529 plan on the other hand,is a college savings plan wherein parent,guardian or even the beneficiary(the would college student) saves money at interval with hope of funding the costs of college education
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on dividing 2272 as well as 875 by 3 digit number n we get the same remainder The sum of the digits Of n is
Answer:
10
Step-by-step explanation:
2272-875=1397
Factors of 1397: 1, 11, 127, 1397
Where's the three-digit number? ==> 127 is the three-digit number
875/127 = 6.889
1397/127=11
2272/127=
(875+1397)/127=
875/127 + 1397/127= ==> substitute 11 for 1397/127 and 6.889 for 875/127
6.889 + 11 = 17.889
Hence, 2272/127=17.889
Hence, 2272 and 875 have the same remainder when divided by 127.
Now add the digits:
1+2+7=10
Why do we take the square root of both sides?
Therefore , we take the square root of both sides as if two expressions are equal, then their square roots are also equal.
What is square root?The number is derived by multiplying the square root of a positive integer by itself.
For instance, the square root of 25 is 5, since 5 x 5 is 25.
As you can see, 5 is also the square root of 25 because (5) (5) = 25.
The square root of a number is always represented by the symbol, which is √.
Here,
We are using the square to solve a quadratic problem
Remember to take the square root of both aspects of the equation and to utilize both negative and positive roots.
Because of the rule that says if expressions are equivalent, then their square roots are likewise equal, we are able to perform this.
Therefore , we take the square root of both sides as if two expressions are equal, then their square roots are also equal.
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What is set in math for kids?
In math for kids, a set is a collection of objects or numbers that have been grouped together.
What is set?Set is a collection of distinct elements or objects that are grouped together. Sets can be defined as either finite (having a finite number of elements) or infinite (having an infinite number of elements). Sets are commonly used in mathematics, computer science and other areas of study to represent collections of data or to express logical relationships.
The objects in a set can be anything, such as numbers, shapes, letters, words, and even other sets. Sets are often used in math problems and are a great way to help kids learn basic math skills. They can also be used to teach problem solving and logic. Sets are a fundamental part of mathematics and can be used to help kids understand mathematical concepts.
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What is the domain for the given function?
3 + 9x
4+5x
Answer:
12x plus 9x
Step-by-step explanation:
What is the number of terms in the expression 3x2y 2y2z z2x 5?
We can determine 3 terms in the expression 3×2y, 3 terms in the expression 2y2z and 3 terms in the expression z2×5
What do you mean by expression?An expression is the symbolic form of representing a mathematical statement. In a word, description of a mathematical operation is expressed by a few terms and symbols. Expression has two component terms and symbols in where terms mean number, number accompanied by variables and variables. On the other hand, symbols mean addition, subtraction, division, multiplication, equal, inequal sign and so on.
How many numbers of terms in the above expression?In the question, we notice there are three expressions. The first one, 3 × 2y
3 is multiplied by 2y, here 3 is numbers and it is called constant, y is a variable and 2 is also a number but coefficient of y.
In the second expression, 2y2z, there are 3 terms, but number 2 is used in two times. In both cases, 2 is a coefficient of y and z respectively.
In the last, z2 × 5, we find there are 3 terms. 2 is a number called coefficient of variable z and 5 is constant.
we can say 2z is multiplied by 5.
hence, we find total 6 terms x, y, z, 2, 3 and 5.
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What is the formula of variance and standard deviation of a probability distribution of a random variable?
For a given probability distribution, The random variable also contains discrete values, The variance and standard deviation are computed in terms of Expected values E(X).
What do you mean by random variable?The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
for discrete probability distribution , E(x) = x*P(x)
for continuous probability distribution , E(x) = x *f(x)
Variance = [tex]E(X^2)-(E(X))^2[/tex]
standard deviation = [tex]\sqrt {Variance}[/tex]
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true/false if y is a differentiable function of u and u is a differentaible function of u and u is a differentaible function of x, then y is a differentiable function of x
True. If y is a differentiable function of u and u is a differentiable function of x, then the chain rule states that y is a differentiable function of x.
The chain rule states that if y is a function of u and u is a function of x, then the derivative of y with respect to x is equal to the derivative of y with respect to u multiplied by the derivative of u with respect to x. This means that if y is a differentiable function of u and u is a differentiable function of x, then y is also a differentiable function of x.
In mathematics, a function is said to be differentiable at a point if it is possible to define the derivative of the function at that point. The derivative of a function is a measure of how the function changes as its input (or independent variable) changes. It is defined as the limit of the difference quotient, which is a measure of the rate of change of the function over a small interval around the point of interest.
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Solve for x.
(x+16)
(4x-5
7
11
13
9
Answer:
soln:
x+16=4x-5
16+5=4x-x
21/3=x
Therefore x=7
The price of a computer increae from £631 to £776. 13
Determine the percentage change
The price of a computer increase from £631 to £776. 13. The percentage change is 81.3%
As per the given data:
Old value of computer is £631
New value of computer is £776. 13
Percentage Change: Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100.
The phrase percent change says the difference in the percent of the earlier and present quantity.
Percentage change formula is
Percentage Change [tex]=\frac{{New Value - Old Value} }{{Old Value}} \times 100[/tex]
If the result is positive, then it is an increase.
If the result is negative, then it is a decrease.
[tex]=\frac{631}{776.13} \times 100[/tex]
= 0.813 × 100
= 81.3%
Therefore the increase in percentage is 81.3%
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Complete the tasks please helpl
Answer:
Step-by-step explanation:
if mary had 23 apples and she give 10 to her fren. how many apples do she have left?
in mathimativille, a speeding ticket is issued once someone goes over the post limit. The speeding fine is $75.00 plus $5.00 exceeding the post limit. write an equation to show the relationship between the fines (F) and the speed (S) over the posts limit.
Answer:
don't know the answer
Step-by-step explanation:
but thanks for the points bookie
What is the scale factor from the cliff in the Scale Drawing drawing to the actual cliff? What is the actual height of the lighthouse?
The scale factor from the cliff in the Scale Drawing to the actual cliff is 3, and the actual height of the lighthouse is 30 ft.
What is the scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.
Given:
The actual height from sea to the lighthouse, A = 36ft
The height in the diagram, D = 12
Calculate the scale factor as shown below,
Scale factor = A / D
SF = 36 / 12
SF = 3
Calculate the actual height as shown below,
Actual height = scale factor × height in the diagram
Actual height = 3 × 10 = 30 ft.
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How do you find the value of x and y in an angle?
To find the value of x and y, the length of the side opposite an angle, you need to know the measure of the angle and the lengths of the sides of the angle.
The measure of the angle is usually represented by the letter 'x', and the lengths of the sides are usually represented by the letters 'a' and 'b'. If you know the values of these three quantities, you can use the following formula to find the value of y, which is the length of the side opposite the angle:
y = tan(x) × a
If you know the values of x and y, you can use the following formula to find the value of a, which is the length of the side adjacent to the angle:
a = y / tan(x)
If you know the values of x and a, you can use the following formula to find the value of y:
y = a × tan(x)
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Find the total surface area of the rectangular prism in the figure.
A) 174 cm^2
B) 348 cm^2
C) 522 cm^2
D) 432 cm^2
The total surface area of the rectangular prism in the figure is 348 cm²
How to find the total surface area of the rectangular prismA rectangular prism is a polyhedron in geometry that has two parallel and congruent bases.
It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.
The formula for total surface area of a rectangular prism is
TSA = 2 (lh +wh + lw ) Square units
= 2( 8 *9 + 6 * 9 + 8 * 6 )
= 2 (174)
= 348 cm²
The rectangular prism have a Total surface area of 348 cm²
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Last year, Milan opened an investment account with $5200. At the end of the year, the amount in the account had decreased by 7%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal.
Year-end=amount×Originalamount
(b) Use your answer in part (a) to determine the year-end amount in Milan's account.
Year-endamount:$
If Last year, Milan opened an investment account with $5200. At the end of the year, the amount in the account had decreased by 7%. the year-end amount in terms of the original amount is $364.00 and the year-end amount in Milan's account is $4,836.00.
How to find the year end amount ?a. Year end amount in terms of original amount
Year end amount = Principal × Percentage decrease
Year end amount = $5,200 × 7%
Year end amount = $364.00
b. Year end amount in Milan account
Year end amount = $5,200 -$364
Year end amount = $4,836.00
Therefore the year-end amount in terms of the original amount is $364.00 and the year-end amount in Milan's account is $4,836.00.
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Hannah is going to play one game of chess and one game of backgammon.
The probability she will win the game of chess is 0.6
The probability that she will win the game of backgammon is 0.7.
Complete the tree diagram below
Chess
Win
Not
Win
Backgammon
Win
Not Win
Win
Not Win
Work out the probability that Hannah will win both games
We will use the concept of Probability in this question. The probability that Hannah will win both games is 0.42.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.
Calculation
The probability she will win the game of chess is 0.6.
The probability she will not win the game of chess is 0.4[1-0.6]
The probability that she will win the game of backgammon is 0.7.
The probability that she will not win the game of backgammon is 0.3.[1-0.7]
To find the probability of winning of two games
P(A∩B)=P(A)×P(B)
⇒P(Hannah)=0.6×0.7
∴Probability of winning both games=0.42.
We will use the concept of Probability in this question. The probability that Hannah will win both games is 0.42.
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Which expression represents the probability that both students chosen are sophomores? startfraction (20 c 6) (19 c 5) over 20 c 2 endfraction startfraction (20 p 6) (19 p 5) over 20 p 2 endfraction.
The expression represents the probability that both students chosen are sophomores is C( 6 , 1 ) * C ( 5 , 1 ) / C ( 20 , 2 ) .
Given :
The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions [tex]N_s[/tex] and the total number of possible choices [tex]N_t[/tex] .
p = [tex]N_s[/tex] / [tex]N_t[/tex]
There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total .
We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.
To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5.
C( 6 , 1 ) * C ( 5 , 1 ) ways .
The total number of possible choices is C ( 20 , 2 )
Probability = C( 6 , 1 ) * C ( 5 , 1 ) / C ( 20 , 2 )
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Full question :
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the probability that both students chosen are sophomores? StartFraction (6 C 1) (5 C 1) Over 20 C 2 EndFraction StartFraction (6 P 1) (5 P 1) Over 20 P 2 EndFraction StartFraction (20 C 6) (19 C 5) Over 20 C 2 EndFraction StartFraction (20 P 6) (19 P 5) Over 20 P 2 EndFraction
math question
13 c= pt
Step-by-step explanation:
13 cups = ? pints
there are 2 cups per pint so:
13/2 = 6.5
13 cups = 6.5 or [tex]6\frac{1}{2}[/tex] pints
What is the mode of the following set of numbers?
143, 312, 41, 28, 308, 619, 321, 352, 465
288
279.3
none
312
How do you find the inverse of a function with a fraction?
Write a function's inverse as y = f(x), then solve for x as a function of y to discover the inverse of the function.
How do you solve a function with a fraction?Multiplying all of the terms on the equation's left and right sides by the fraction's denominator will remove a fraction from it. Try to solve for the variable. Isolate the fractional word initially. By multiplying both sides of the equation by the reciprocal of 4 / 7 (4/7), you can now eliminate the fractional coefficient.
A rational function in mathematics is any function that can be expressed as a rational fraction, which is an algebraic fraction in which the denominator and numerator are both polynomials. In particular, a polynomial term cannot contain any square roots of variables, fractional or negative powers on the variables, or variables in any fraction's denominator.
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Solve pls brainliest
Answer:
This data has a positive correlation.
Step-by-step explanation:
As the x-values increase, the y-values increase. Therefore, there is a positive correlation. (positive/positive = positive)
What is the most important step in financial planning?
The most important step in financial planning is to create a budget.
What is financial planning?
The process of setting and achieving long-term financial goals is called financial planning. It involves evaluating one's current financial resources, setting financial objectives, and devising a plan to achieve those objectives. It also entails developing savings, managing debt, and creating a budget.
According to the given question:
Financial planning is crucial because it enables individuals and families to better manage their finances and ensure that they will be able to achieve their desired objectives. Additionally, it aids individuals in making sound financial decisions and preventing costly errors.
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Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1
Answer:
the second
Step-by-step explanation:
so first you now that slope is y=mx+b with b=y, so with this we go (0,-3) down the the slope is 2 so we go up two right one the the opposite down two left then do that a couple of times and you have your line. since Y is less than the coloring goes down. HOPE THIS HELPS
How do you prove SAS Similarity theorem?
The SAS Similarity Theorem asserts that two triangles are similar if two sides in one triangle are proportionate to two sides in another triangle and the included angle in both is congruent.
what is side-angle-side similarity theorem?The side-angle-side (SAS) theorem is one such example. Triangles are congruent if their two sides and included angles are equivalent to those of another triangle's two sides and included angle. SAS similarity analysis: When the ratio of two sides' lengths in one triangle equals the ratio of sides' lengths in another triangle, and the included angles are also equal, the two triangles are said to be comparable.
Area of triangle =
[tex]1/2 X b X h\\b= 10\\h=5\\A = 1/2 X 10X 5\\A = 25 unit sq.[/tex]
and also by heron's formula
Area = [tex]\sqrt{s(s - a)(s - b)(s - c) }[/tex]
and, here s = half the perimeter,
[tex](a + b + c)/2.[/tex]
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How do you know if an equation is continuous?
Answer:
For a function to be continuous at a point, it must be defined at that point, its limit must exist at the point, and the value of the function at that point must equal the value of the limit at that point.
What is the mean of 5 7 9 11?
The mean of the following data is 8.
To find: Mean of given numbers.
Given data is 5, 7, 9, 11
Mean: It is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Mean=[tex]\frac{Sum of all observations}{Number of observations}[/tex]Here, sum of observations is 5+7+9+11=32
Sum of observations is 32
Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data
Total number of observation is 4
The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset.
Substituting values in above formula,
=[tex]\frac{32}{4}[/tex]
=8
Therefore, the mean is 8.
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What factors should be taken into consideration when creating a financial plan?
There are four factors that should be taken into consideration when creating a financial plan.
Define financial plan.The process of figuring out how a corporation will be able to afford to meet its strategic goals and objectives is known as financial planning. Typically, a business develops a financial plan right away after establishing its vision and goals.
What is the importance of financial planning?You can reach your financial objectives with the help of financial planning, whether they are to purchase a home for your family, save money for your children's school, have a comfortable retirement, or take a dream vacation. Additionally, it gets you ready for crises and unanticipated circumstances like getting sick, losing your job, or needing home renovations.
4 things to think about when creating your financial plan:
At each stage of your life, think about your requirements and commitments.Set attainable objectives for the short, medium, and long terms.Determine whether your security measures are adequate.Find out about the tax breaks and reliefs that are available to you.To learn more about financial planning visit the link:
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