The correct answer to this question is option D) number of populations minus 1.
The number of degrees of freedom (df) associated with the chi-square distribution in a test of independence is determined by the number of populations from which the samples are obtained minus one.
It is calculated by the formula: df = (r - 1) x (c - 1), where r is the number of rows and c is the number of columns in the contingency table used to perform the test. The chi-square distribution is used to analyze the difference between observed and expected values in a contingency table. It provides a measure of how closely the observed frequencies match the expected frequencies if there is no association between the variables being studied.
The degrees of freedom are important because they determine the critical values for the test statistic and help to determine the probability of obtaining the observed results if the null hypothesis is true.
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What is the following quotient ?6-3*(3^sqrt6)/3^sqrt9
To find the quotient for the given expression, we need to follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Here's a step-by-step explanation using the given terms:
Expression: 6 - 3 * (3 ^ sqrt(6)) / 3 ^ sqrt(9)
Step 1: Calculate the square roots.
sqrt(6) ≈ 2.449
sqrt(9) = 3
Step 2: Substitute the square root values into the expression.
6 - 3 * (3 ^ 2.449) / 3 ^ 3
Step 3: Calculate the exponentials.
3 ^ 2.449 ≈ 13.154
3 ^ 3 = 27
Step 4: Substitute the exponential values into the expression.
6 - 3 * 13.154 / 27
Step 5: Perform the multiplication and division (from left to right).
3 * 13.154 = 39.462
39.462 / 27 ≈ 1.462
Step 6: Perform the subtraction.
6 - 1.462 ≈ 4.538
The quotient for the given expression is approximately 4.538. Remember to always follow the order of operations and perform each calculation step by step to ensure accuracy.
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You want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.
Write an equation for the cost for FedEx to send the package.
Use x as the number of pounds and use y as the total cost.
The cost function for FedEx delivery is -
C{x} = 2x + 10
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Given is that you want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.
For the FedEx delivery, we can write the cost function as -
C{x} = 2x + 10
Therefore, the cost function for FedEx delivery is -
C{x} = 2x + 10.
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The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
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Is the following a statistical question?
How much do new cars cost?
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
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Hello! Please help me with this. I'm very desperate lol. Its 16. Ill give brainliest
Answer:
You showed the right work and got the right answer!
x = 6
Step-by-step explanation:
Since B is in the middle of A and C, AB + BC = AC
So,
2x - 11 + 8 = x + 3
x - 3 = 3
x = 6
Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-1,9, -3), C(1, 12, -10), D(3, 4, -4)
The area of the parallelogram is |AB x BC| = sqrt(3088) square units. To verify that the given points are the vertices of a parallelogram, we need to check if the opposite sides are parallel.
Using vector notation, we can find the vectors AB, BC, CD, and DA as follows:
AB = < -2, 8, -6 >
BC = < 2, 3, -7 >
CD = < 2, -8, 6 >
DA = < -2, -8, 6 >
We can see that AB is parallel to CD, and BC is parallel to DA, since they have the same direction (but possibly different magnitudes). Therefore, the given points are the vertices of a parallelogram.
To find the area of the parallelogram, we can use the cross-product of AB and BC (or CD and DA, since they have the same magnitude and direction):
AB x BC = < -54, 8, 28 >
|AB x BC| = sqrt(54^2 + 8^2 + 28^2) = sqrt(3088)
Therefore, the area of the parallelogram is |AB x BC| = sqrt(3088) square units.
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A researcher collects two samples of data. He finds the first sample (n=8) has a mean of 5 ; the second sample (n=2) has a mean of 10 . What is the weighted mean of these samples?
The weighted mean of the two samples is 6, suggesting that the average value is calculated by considering the weights assigned to each sample, resulting in a mean value of 6 based on the given weighting scheme.
To calculate the weighted mean of two samples, we need to consider the sample sizes (n) and the mean values. The weighted mean gives more importance or weight to larger sample sizes. In this case, we have two samples, one with n=8 and the other with n=2.
The formula for the weighted mean is:
Weighted Mean = (n₁ * mean₁ + n₂ * mean₂) / (n₁ + n₂)
where:
n₁ = sample size of the first sample
mean₁ = mean of the first sample
n₂ = sample size of the second sample
mean₂ = mean of the second sample
Substituting the given values:
n₁ = 8
mean₁ = 5
n₂ = 2
mean₂ = 10
Weighted Mean = (8 * 5 + 2 * 10) / (8 + 2)
= (40 + 20) / 10
= 60 / 10
= 6
Therefore, the weighted mean of the two samples is 6.
The weighted mean provides a measure of the average that takes into account the relative sizes of the samples. In this case, since the first sample has a larger sample size (n=8) compared to the second sample (n=2), the weighted mean is closer to the mean of the first sample (5) rather than the mean of the second sample (10). This is because the larger sample size has a greater influence on the overall average.
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A number plus 17 is 25 algebraic expression
Answer:
x + 17 = 25
Step-by-step explanation:
x is "a number" and you just add it to 17. (Also the answer would be 8 if you need to solve it too)
The algebraic expression is x + 17 = 25 and the number is 8 if the number plus 17 is 25.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
A number plus 17 is 25 algebraic expressions:
Let x be the number:
x + 17 = 25
After solving:
x = 25 - 17
x = 8
Thus, the algebraic expression is x + 17 = 25 and the number is 8 if the number plus 17 is 25.
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7/2÷7/8 ,............
Answer:
4
Step-by-step explanation:
\( \frac{7}{2} \times \frac{8}{7} \)
Cancel the 7
\( \frac{1}{2} \times 8\)
simplify
\( \frac{8}{2} \)
simplify
\(4\)
How many cookies will Tanya have if she bakes 12 more batches y = 70 + 18 (x)
y=70+18(x)
y=70+18(12)
y=70+216
y=286
Step-by-step explanation:
since Tanya bakes 12 more cookies,
x=12
y= 70 + 18(12)
y=70 + 216
y= 286
therefore, she bakes 286 cookies with twelve more batches
A shop sells bicycles and tricycles. In total there are 77 cycles (cycles include both bicycles and tricycles) and 1919 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Answer:
Let x and y be numbers of bicycles and tricycles, respectively
x + y = 7 (i)
2 x + 3 y = 19 (ii)
Multiplying (1) by 2 gives:
2 x + 2 y = 14 (iii)
Subtracting (iii) from (ii) gives:
y = 19 − 14 = 5
Substituting 5 for y in (i) gives:
x=7−5=2
Therefore there are 2 bicycles and 5 tricycles.
Step-by-step explanation:
The trapezoids shown are similar. What is the value of x?
A.33
B.53
C.73
D.103
The two trapezoids in the figure are similar. Thus, the value of x would be equal to 33.
What are trapezoids?A trapezoid is a quadrilateral with at least one pair of sides parallel.
The two trapezoids in the figure are similar.
Since the figures are similar, the corresponding sides have the same ratio.
Here, the side must be proportional
So,
\(\sf \dfrac{40.5}{x}=\dfrac{54}{44}\)
\(\sf 1782=54x\)
Divide 54 on both sides
\(\sf x= \dfrac{1782}{54}\)
\(\sf x=33\)
Thus, the value of x is 33.
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A student E-mail to troops contained 250 charactes. The 4-line. About how many characters were on each line? Show how you eastimated.
Presuming the 4-line means the student E-mail is composed of 4-lines, to be able to determine how many characters were on each line, let's divide the total characters that a student E-mail contained by 4.
We get,
\(\text{ Characters per Line = }\frac{Total\text{ Characters}}{4\text{ Lines}}\text{ = }\frac{250\text{ Characters}}{4\text{ Lines}}\)\(\text{ = }\frac{250}{4}\text{ = 125 = 125 Characters per Line}\)Therefore, the Student E-mail of 250 Characters in 4 lines must have 125 Characters per Line.
2a + 5a x 4a - a simplify
Answer:
20a² + a
= a(20a + 1)
Step-by-step explanation:
2a + 5a × 4a - a
= 2a + 20a² - a
= 20a² + a
9x+6-4x-2x+1-15 simplify plz
Answer:
3x-8
Step-by-step explanation:
Alan takes a taxi at the rate of $3 per mile. The taxi company charges an additional pickup fee of $5. How many miles, d, did Alan travel if the total fare was $29? Write the equation that represents the situation. 3 ✓d +5 = 29 ✓ Solve for the number of miles Alan traveled. They traveled miles.
Answer:
Alan travelled 8 miles in total
with the cut of money for pickup which is 5$and 3$ for every mile
as 3×8=24
and remaing 5 for picup
Step-by-step explanation:
hope this helps
The equation that represents the situation is, 3d +5 = n and if the fare is $29 then Alan traveled 8 miles.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Alan takes a taxi at the rate of $3 per mile.
The taxi company charges an additional pickup fee of $5.
So,
the equation that represents the situation is,
3d +5 = n
To solve for the number of miles Alan traveled:
The fare was $29
3d +5 = 29
3d = 24
d = 8
Therefore, he traveled 8 miles.
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which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
Last one I promise . I am NOT GOOD AT MATH
Answer:
60 seconds/1 minute
Step-by-step explanation:
We are trying to convert 20.1 meters/second to per minute. Since we know there's 60 seconds in a minute, we would use the conversion factor 60 seconds/1 minute in order to find greyhounds speed per minute
I need help ..................
Answer:
Step-by-step explanation:
hi
I need my help with a homework problem square root of 15 / square root of 12
The expressions when evaluated are 3/5 and 1/2√5
How to evaluate the expressionsFrom the question, we have the following parameters that can be used in our computation:
√9/√25
Evaluate the roots
So, we have
3/5
For the second expression, we have
√15/√12
This gives
√(15/12)
Divide
√(5/4)
So, we have
1/2√5
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IF U HELP U GET BRAINLISTED the difference of a number and six is the same as five times the sum of a number and 2 what is the number
Answer:
\(let \: the \: number \: be \: x \\ x - 6 = 5(x + 2) \\ x - 6 = 5x + 10 \\ 4x = - 16 \\ x = - \frac{16}{4} \\ x = - 4 \\ the \: number \: is \: - 4\)
579.83+42.2
QUICK!!!
Answer:
622.03
Step-by-step explanation:
Please help!! What is the answer? What is the square rout of 88 rounded to the nearest 100th?
9.38
please don't trust this answer
Tim wants to enclose a 12ft x 8ft plot of land for his garden. How much fencing does he need?
Tim needs 40ft fencing.
For fencing the square garden we need to ascertain perimeter of the square.
Perimeter of plot = 2*(a+b)
Where a = length of the plot
b=width of plot
length =12ft
width=8ft
Perimeter of plot = 2*(a+b) = 2*(12+8)ft=40ft
He needs 40ft fencing.
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Determine what type of model best fits the given situation: Every day, half a bacteria population dies.
Answer:
Step-by-step explanation:
This is a geometric sequence because each new term is a multiple (actually, "negative half of the previous term").
If the original population were Po, then the population after d days is
P = Po(0.5)^(d - 1)
Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in
Answer:
21 cubic inches (or cu. in)
Step-by-step explanation: Multiply 7 by three
=Round each number to five decimal places: a. 23.54 b. 0.916?
Therefore the rounded numbers are 23.54 and 0.9160.
Define rounded numbers.An integer containing one or more "0"s at the end in a certain base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600. A round number is frequently understood to stand for a value or values close to the nominal value given in both formal and informal language.
What is integer?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.
a. To round 23.54 to five decimal places, we look at the sixth decimal place, which is 4. Since 4 is less than 5, we leave the fifth decimal place as is, and the number rounded to five decimal places is 23.54.
b. To round 0.916 to five decimal places, we look at the sixth decimal place, which is 1. Since 1 is greater than or equal to 5, we increase the fifth decimal place by one, and the number rounded to five decimal places is 0.9160.
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If you are interested in purchasing 20 year term life insurance and every $10,000 of coverage costs $1.00 per month, how much would your monthly payment be for $250,000 of coverage?
Answer: 1,200
Step-by-step explanation:
Simplifying algebraic expression
-8w-b/9 use b=36 & w=2
The b/9 is b over 9
Answer:
-20
Step-by-step explanation:
-8*2-36/9
-16-4
-20