differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are .
Answers
The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element.Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
It can be presumed that the test mentioned is the t-test since it uses two samples. A t-t-value, test's which it generates, is what determines its statistical significance. The likelihood that a difference is statistically significant increases with increasing t-value. By dividing the mean difference between two samples by the square root of the sum of the variances of each sample, then by the size of each sample, one may determine the t-value.The likelihood that the difference between two means is statistically significant therefore increases if:a significant mean difference;the samples are substantial;The samples' standard deviations are lower.Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
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Related Questions
Show that the vector field defined by the vector function v=xyz(yzi^xzj^xyk^) i conervative
Answers
The process to show the vector field V(x,y,z) as conservative is show below and the scalar potential f is \(f(x,y,z) =xyz^{2} + e^{\pi }\) .
A Vector field can be called as conservative if we are able to find the potential function "f" , whose gradient is field .
The Gradient is vector that is made from partial derivatives of potential function .
The Vector function is given as , V(x,y,z) = \((yz^{2} )i + (xz^{2} )j + (2xyz)k\) ,
So , we can write the partial derivatives function of potential function as :
\(\frac{\partial f}{\partial x} = yz^{2}\) ; \(\frac{\partial f}{\partial y} = xz^{2}\) ; \(\frac{\partial f}{\partial z} = 2xyz\),
On Antidifferentiating any of the above three partial derivatives ,
we get ; \(f=xyz^{2} + C\) , here the constant C can take any value ,
so , we take C as \(e^{\pi }\) .
Therefore , the potential Function is \(f(x,y,z) =xyz^{2} + e^{\pi }\) .
The given question is incomplete , the complete question is
Show that the vector field defined by the vector function V(x,y,z) = (yz²)i + (xz²)j + (2xyz)k is conservative by finding a scalar potential f .
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What is the constant in this expression 5x+10?
Answers
Answer:
the answer is 10
The constant term in the expression 5x + 10 is 10.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x + 10
5 is the coefficient of x.
10 is constant.
Thus,
The constant value is 10.
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John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box. What is the total number of nails in Susan's box?
Answers
Answer:
The total number of nails in Susan's box is 660 nails
Step-by-step explanation:
The given parameters are;
The number of small nails in John's box = 65
The number of medium nails in John's box = 40
The number of large nails in John's box = 45
The number of medium nails in Susan's box = 176
The ratio of the nails in John's box is given as follows;
The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30
The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30
The ratio of large nails in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30
Given that the proportion of the nails in John's box and Susan's box are the same, we have;
The ratio of medium nails in Susan's box = 8/30
Therefore;
Where the total number of nails in Susan's box = X, we have;
8/30 × X = 176
X = 176 × 30/8 = 660 nails
The total number of nails in Susan's box = 660 nails.
Using proportions, it is found that the total number of nails in Susan's box was 660.
---------------
John had 65 + 40 + 45 = 150 nails.The proportion of medium nails is: \(\frac{40}{150}\)Susan's box has x nails.Of those nails, 176 are medium. Thus, the proportion of medium nails out of the total in Susan's box is of: \(\frac[176}{x}\)---------------
Since the proportions are equal:
\(\frac{40}{150} = \frac{176}{x}\)
\(40x = 150\times176\)
\(x = \frac{150\times176}{40}\)
\(x = 660\)
The total number of nails in Susan's box was 660.
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6.1 Colby bought a laptop worth Rx for his university studies. The value of the laptop decreased at r% per annum using the reducing balance method. After 4 years, the value of the laptop was worth 31 of its original price. Calculate r, the rate of depreciation.
6.2 On 1 February 2014 , Ncominkosi took a loan from a bank to buy a car. His first payment for the loan was due on 31 July 2014 . Once he started paying the loan, it took him 6 years to fully pay the loan at an interest rate of 9,5% p.a. compounded monthly. In total, he paid the bank R596 458,10.
6.2.1 How much was his monthly instalment?
6.2.2 How much money did he borrow from the bank? Write down your answer to the nearest rand.
Answers
6.1). the rate of depreciation, r, is approximately 10.77%.
6.2.1). Ncominkosi's monthly installment amount was approximately R 10,505.29.
6.2.2). Ncominkosi borrowed approximately R 377,510.83 from the bank.
6.1) Let's assume the original price of the laptop is P. According to the reducing balance method, the value of the laptop after 4 years can be calculated as P * (1 - r/100)^4. We are given that this value is 31% of the original price, so we can write the equation as P * (1 - r/100)^4 = 0.31P.
Simplifying the equation, we get (1 - r/100)^4 = 0.31. Taking the fourth root on both sides, we have 1 - r/100 = ∛0.31.
Solving for r, we find r/100 = 1 - ∛0.31. Multiplying both sides by 100, we get r = 100 - 100∛0.31.
Therefore, the rate of depreciation, r, is approximately 10.77%.
6.2.1) To determine the monthly installment amount, we can use the formula for calculating the monthly payment on a loan with compound interest. The formula is as follows:
\(P = \frac{r(PV)}{1-(1+r)^{-n}}\)
Where:
P = Monthly payment
PV = Loan principal amount
r = Monthly interest rate
n = Total number of monthly payments
Let's calculate the monthly installment amount for Ncominkosi's loan:
Loan amount = Total amount paid to the bank - Interest
Loan amount = R 596,458.10 - R 0 (No interest is deducted from the total paid amount since it is the total amount paid)
Monthly interest rate = Annual interest rate / 12
Monthly interest rate = 9.5% / 12 = 0.0079167 (rounded to 7 decimal places)
Number of monthly payments = 6 years * 12 months/year = 72 months
Using the formula mentioned above:
\(P = \frac{0.0079167(Loan Amount}{1-(1+0.0079167)^{-72}}\)
Substituting the values:
\(P = \frac{0.0079167(596458.10}{1-(1+0.0079167)^{-72}}\)
Calculating the value:
P≈R10,505.29
Therefore, Ncominkosi's monthly installment amount was approximately R 10,505.29.
6.2.2) To determine the amount of money Ncominkosi borrowed from the bank, we can subtract the interest from the total amount he paid to the bank.
Total amount paid to the bank: R 596,458.10
Since the total amount paid includes both the loan principal and the interest, and we need to find the loan principal amount, we can subtract the interest from the total amount.
Since the interest rate is compounded monthly, we can use the compound interest formula to calculate the interest:
\(A=P(1+r/n)(n*t)\)
Where:
A = Total amount paid
P = Loan principal amount
r = Annual interest rate
n = Number of compounding periods per year
t = Number of years
We can rearrange the formula to solve for the loan principal:
\(P=\frac{A}{(1+r/n)(n*t)}\)
Substituting the values:
Loan principal (P) = \(\frac{596458.10}{(1+0.095/12)(12*6)}\)
Calculating the value:
Loan principal (P) ≈ R 377,510.83
Therefore, Ncominkosi borrowed approximately R 377,510.83 from the bank.
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Picture attached help please!
Answers
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
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If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
Answers
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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Which whole number is Square root 42 close to
Answers
Answer:
√42 = about 6.48 ....... so it's closer to 6
Step-by-step explanation:
Answer: 6 because you would have to round it off
Step-by-step explanation:
Karim sold a shirt at a loss of 10%. Had he sold it for Rs. 60 more he would have gained 5% on it. Find the cost price of the shirt.
Answers
9514 1404 393
Answer:
Rs 400
Step-by-step explanation:
The selling price was ...
cp(1 -10%)
where cp is the cost price. If we add Rs 60 to that, then the selling price would be ...
cp(1 -10%) +60 = cp(1 +5%)
60 = 15%·cp . . . . . . . . . . . . . . . subtract 90%·cp
60/0.15 = cp = 400
The cost of the shirt was Rs 400.
Help ya girl out with this one please ASAP <3
Answers
Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
please helppppppp.
5
15
32
40
Answers
Answer:
just use the 10's btw
Step-by-step explanation:
Answer:
I think it's 15 sorry if im wrong
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answers
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
find the area of this triangle
Answers
Work Shown:
area = 0.5*base*height
area = 0.5*11*13.4
area = 73.7 square cm
The other values 15 and 14 are not used. Your teacher probably put them in as a distraction.
The heights of 11 plants, in inches, are listed. 14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22 If another plant with a height of 14 inches is added to the data, how would the range be impacted? The range would decrease to 8 inches. The range would stay the same value of 8 inches. The range would increase to 17 inches. The range would stay the same value of 18 inches.
Answers
The range wοuld stay the same value οf 8 inches.
What is average?Let's lοοk at the average fοrmula in mοre detail in this part and use sοme examples tο illustrate hοw it may be used. The fοllοwing is an example οf the average fοrmula fοr a specific set οf data οr οbservatiοns: Average = (Sum οf Observatiοns) ÷ (Tοtal Numbers οf Observatiοns).
In the οriginal data set, the maximum value is 22 inches and the minimum value is 14 inches, sο the range is:
22 - 14 = 8 inches
If anοther plant with a height οf 14 inches is added tο the data, the minimum value will still be 14 inches, but the maximum value will nοw be 22 inches (since there are twο plants with a height οf 22 inches).
Therefοre, the range will increase:
22 - 14 = 8 inches
Sο the cοrrect answer is: The range wοuld stay the same value οf 8 inches.
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i have finals pls help!!?
Answers
Answer:
120 degreess is the answer
- sports the distance between each base on a baseball infield is 90 feet. the third baseman throws a ball from third base to point p. to the nearest foot, how far did the player throw the ball?
Answers
The distance between the third base and the player is 150 feet.
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle of 90°. The sides of a right triangle (say a, b, and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.
In the diagram attached, we can see the locations of the 1st base, 2nd base, 3rd base, and Home plate.
Since these four points form a square of which diagonals are equal in size.
So if we find the distance between the 1st and 3rd base that will be equal to the distance between the Home plate to the second base.
To find the nearest distance,
By applying "Pythagoras' Theorem"
\(nearest \ distance =\sqrt{120^2+90^2}\\\\=\sqrt{22500}\\\\=150\ feet.\)
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There are 5 yachts for sale at the harbor. Each yacht costs $65,296. How much would it cost to buy all 5 yachts?
Answers
Answer:
326,480 is the answer
Step-by-step explanation:
65,296*5 = 326,480
If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Answers
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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What is 5 3/5% of 750?
Thanks in advance.
Answers
\(5 \frac{3}{5} \% \: of \: 750\)
solution:\(5 \frac{3}{5} = 5.6\)
\( \frac{5.6\%}{100} \times \frac{x}{750} \)
\( = 42%\)
7 3/5 + 2 1/2 as a fraction
Answers
Answer: 7 3/5 + 2 1/2 = 10 1/10
Step-by-step explanation:
Write the fractions to have like denominators to make it easier to add.
7 3/5 will become 7 6/10
2 1/2 will become 2 5/10
Rewrite them as improper fractions:
7 6/10 will become 76/10
2 5/10 will become 25/10
Now add.
76/10+25/10=101/10
Rewrite the sum as a mixed number
101/10 will become 10 1/10
, evaluate and simplify.
Answers
The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.
What is the difference quotient of the given function?The formula for difference quotient is expressed as:
\(\frac{f(x+h)-f(x)}{h}\)
Given the function in the question:
f(x) = 4x² - 5x
To solve for the difference quotient, we evaluate the function at x = x+h:
First;
f(x + h) = 4(x + h)² - 5(x + h)
Simplifying, we gt:
f(x + h) = 4x² + 8hx + 4h² - 5x - 5h
f(x + h) = 4h² + 8hx + 4x² - 5h - 5x
Next, plug in the components into the difference quotient formula:
\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)
Therefore, the difference quotient is 8x + 4h - 5.
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\(\sqrt[3]{875x^5y^9}\)
Answers
Answer:
\(5xy^{3} \sqrt[3]{7x^{2} }\)
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
A number, double the number, and 16 are added. The result is 61. What is the original number?
Answers
ANSWER
\(15\)EXPLANATION
Let the number be x.
If the number is doubled, it becomes:
\(2x\)The number, double the number and 16 are added and the result is 61.
This implies that:
\(x+2x+16=61\)Solve for x:
\(\begin{gathered} 3x+16=61 \\ 3x=61-16=45 \\ x=\frac{45}{3} \\ x=15 \end{gathered}\)That is the number.
(10 pts) Player A, who enters a golf tournament, is not certain whether player B will enter. Player A has a probability of 1/6 of winning the tournament if player B enters and a probability of 3/4 of winning if player B does not enter the tournament. The probability that player B enters is 1/3. On Monday morning, you read that player A won the tournament. What is the probability that player B entered the tournament
Answers
The probability that player B entered the tournament is 3/14.
Given that player, A, who enters a golf tournament, is not certain whether player B will enter. The probability that player B enters is 1/3. Player A has a probability of 1/6 of winning the tournament if player B enters and a probability of 3/4 of winning if player B does not enter the tournament. The question asks to find the probability that player B entered the tournament. To find this probability, we can use Bayes' Theorem which is as follows: P(B|A) = P(A|B) * P(B) / P(A)
Where P(B|A) is the probability that player B entered the tournament given that player A won the tournament P(A|B) is the probability that player A won the tournament given that player B entered the tournament P(B) is the probability that player B entered the tournament P(A) is the probability that player A won the tournament
By substituting the given values in Bayes' theorem, we get: P(B|A) = P(A|B) * P(B) / P(A)P(B|A) = (1/6) * (1/3) / [ (1/6) * (1/3) + (3/4) * (2/3) ]P(B|A) = 3/14Therefore, the probability that player B entered the tournament is 3/14.
The probability that player B entered the tournament is 3/14.
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help how to do it i dont know what to do
Answers
Answer:
Step-by-step explanation:
1 2 and 4 I Think
The question is in the picture. Please help
Answers
A. The stop signs that have a line of symmetry is B and D
Bi. The only stop sign that has a rotational symmetry is A
Bii. It has order 3 rotational symmetry.
How do we identify the line of symmetry on the stop signs?When identifying the sign that has a line of symmetry, you should remember that the end product should be identical to each other.
A line of symmetry is an imaginary line that divides a figure into two halves that are mirror images of each other. A figure with a line of symmetry is said to be symmetrical.
1. When we look at sign B. a line of symmetry can cut across the arrow. And for sign D, a line of symmetry can cut 30 into half. Both halves will look identical to each other.
2. Sign A has rotational symmetry in the sense that when you turn the sign, it still looks the same. If you rotate sign A three times, the same remain the same. 90°, 180°, and 360° which means it has order 3 rotational symmetry.
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WILL GIVE BRAINLIEST (PLEASE SHOW WORK)
Evaluate sec (11pi/6) without using technology
Answers
The sum of a number and its reciprocal is 25/12. Find the number.
Answers
After solving the equation, the number obtained is 4/3 and its reciprocal will be 3/4.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data mentioned in the question,
Let the number be x.
Then the sum and reciprocal of the number is 25/12.
So, the equation will be,
x + 1/x = 25/12
(x² + 1)/x = 25/12
12x² + 12 = 25x or,
12x² - 25x + 12 = 0
Now, find the roots:
D = b² - 4ac
(-25)² - 4× 12× 12
D = 49
Then,
-(b ± √D)/2a
(25 ± 7)/24
So, the roots are,
(25 + 7)/24 = 4/3 and,
(25 - 7)/24 = 3/4
Then, the number is 4/3 and its reciprocal is 3/4.
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Select all the fractions that have the same value as 4 3/5
Answers
Answer:
6/10 8/10 2/12 10/12
Step-by-step explanation:
stay 420 up yea yea
i am new so hi :))))))))))))))))))))))))))))))))))))))))))))))
Answers
Answer:
Hey!!!!!!!!!Step-by-step explanation:
The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region in the western part of the North Atlantic Ocean where a number of aircraft and ships are said to have disappeared under mysterious circumstances. Most reputable sources dismiss the idea that there is any mystery.[1][2][3]
Bermuda Triangle
Devil's Triangle
Calculate expression value : G = 2x^3 + 35x^2 + 15x + 1 with x = -17
Answers
Not sure if this is correct the question was a little confusing
G = -20195
Step-by-step explanation:
G = 2x^3 + 35x^2 + 15x + 1 where x = -17
Substitute all the x’s for -17!
G = 2(-17)^3 + 35(-17)^2 + 15(-17) + 1
Solve for the exponents first!
G = 2(-4913) + 35(-289) + 15(-17) + 1
Multiply
G = -9826 + -10115 + -255 + 1
Add -9826 + -10115
G = -19941 + -255 + 1
Add -19941 + -255
G = -20196 + 1
Add -20196 + 1
G = -20195