olon and rectal cancer are less common in countries, like italy, that consume a mediterranean diet. the primary source of fat in the mediterranean diet is olive oil. italian researchers collected data on olive oil consumption and other diet-related information from a random sample of 1,953 patients with colon or rectal cancer and 4,154 patients admitted to the same hospitals for other, unrelated reasons. we conducted a chi-square test of independence with some of the data. here are the results. in this print-out results table, the observed count appears above the expected count in each cell. low levels of olive oil moderate levels of olive oil high levels of olive oil total colon cancer 398 404.4 397 404.2 430 416.4 1225 rectal cancer 250 240.3 241 240.2 237 247.5 728 total 2016 2015 2076 6107 chi-square test: statistic df value p-value chi-square 4 1.5515802 0.8175 what can we conclude? group of answer choices higher levels of olive oil consumption are associated with lower colon and rectal cancer rates. the association is statistically significant. there is no statistically significant association between colon and rectal cancer and consumption of olive oil. we have strong evidence that olive oil consumption and the occurrence of these types of cancer are dependent. nothing, because the conditions for use of the chi-square test are not met.
Answers
The correct statement regarding the test of the hypothesis is given as follows:
There is no statistically significant association between colon and rectal cancer and consumption of olive oil.
What are the hypothesis tested?There are two hypothesis, the null hypothesis and the alternative hypothesis, and they are presented as follows:
Null hypothesis: not enough evidence to conclude that there is a statistically significant association between colon and rectal cancer and consumption of olive oil.Alternative hypothesis: Enough evidence to conclude that there is a statistically significant association between colon and rectal cancer and consumption of olive oil.What is the decision?The decision depends on the p-value of the test, as follows:
Less than the standard significance level of 0.05 -> Reject the null hypothesis -> Statistically significant association.More than the standard significance level of 0.05 -> Do not reject the null hypothesis -> No statistically significant association.The p-value for this table is given as follows:
0.8175.
Greater than 0,05, hence no association.
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Related Questions
-5 times the difference of twice a number and 9 is 7. Find the number
Answers
The equation for this is -5*2x-9=7
The answer is:
n = 26/5Work/explanation:
The difference is the result of subtracting one number from another one.
So the difference of twice a number and 9 means we subtract twice a number (let n be that number) and 9: 2n - 9
Next, 5 times that difference is 5(2n - 9)
Finally, this equals 7 : 5(2n - 9) = 7
__________________________________________________________
Use the distributive property
\(\sf{5(2n-9)=7}\)
\(\sf{10n-45=7}\)
Add 45 on each side
\(\sf{10n=7+45}\)
\(\sf{10n=52}\)
Divide each side by 10
\(\sf{n=\dfrac{52}{10}}\\\\\\\sf{n=\dfrac{26}{5}}\)
Hence, n = 26/5.Given: ⅓ (18x + 27) = 81 Prove: x = 12
Answers
Answer:
Firstly, rewrite the equation:
⅓ (18 + 27) = 81
Substitute x for the given number of it's supposed equivalent.
In this case x = 12.
⅓ (18(12) + 27) = 81
Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.
(18 x 12) + 27 = 243
Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .
⅓ (243) = 81
When you multiple these number they are equivalent to 81.
81 = 81
Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.
Alan buys a bag of 13 oranges for $2.99. find the unit price in dollars per orange. I f necessary, round your answer to the nearest cent
Answers
Answer:
23 cents
Step-by-step explanation:
Answer:
0..23
Step-by-step explanation
divide 2.99 by 13
SOLVE FOR BRAINIEST.
4( 3x + 2) = 44
Answers
Answer: 4(3+2)=44
Distribute: 4(3x+2)=44
12x+8=44
Subtract 8 from both sides of the equation: 12x+8=44
12x+8-8=44-8
Simplify: Subtract the number: 12x=36
Step-by-step explanation:
Hope this helps you!! :D
Answer:
x = 3
Step-by-step explanation:
Given equation,
→ 4(3x + 2) = 44
Now the value of x will be,
→ 4(3x + 2) = 44
→ 4(3x) + 4(2) = 44
→ 12x + 8 = 44
→ 12x = 44 - 8
→ 12x = 36
→ x = 36/12
→ [ x = 3 ]
Hence, the value of x is 3.
Work out 3 1/2 ÷ 2 1/2
Answers
2
to a improper fraction: 3 1/2 = 3 1/
2
= 3 · 2 + 1/
2
= 6 + 1/
2
= 7/
2
To find a new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/
2
= 6/
2
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Divide: 7/
2
: 5/
2
= 7/
2
· 2/
5
= 7 · 2/
2 · 5
= 14/
10
= 2 · 7 /
2 · 5
= 7/
5
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/
2
is 2/
5
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 7/
5
.
In other words - seven halfs divided by five halfs = seven fifths.c
PLZ HELP I really need help I cant fail this Plz
Answers
Answer: -4
......................
Evaluate the following integral using the trapezoidal rule (use only one interval) and Gauss- Quadrature (n=2). Compare your results with the exact values. Take gp1=-gp2 = 0.5773 and w1 = w2 = 1. 1 = ₀∫π/² Sin²x dx Exact: x/2 – sin(2x)/4
Answers
The given integral is ₁∫₀^(π/2) sin²(x)dx.
The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]
Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.
(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854
(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.
Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.
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Drag and drop the answers to the boxes to correctly complete the proof.
Given: DEFG is a parallelogram.
Parallelogram D E F G with diagonal D F. Angle G D F is labeled 1, angle F D E is labeled 2, angle E F D is labeled 3, and angle D F G is labeled 4.
Prove: DE¯¯¯¯¯≅GF¯¯¯¯¯ and DG¯¯¯¯¯¯≅EF¯¯¯¯¯ .
Answers
∠1 ≅ ∠3 and ∠2 ≅ ∠4 due to them being alternate interior angles.
ΔDGF ≅ ΔFED by the ASA Congruence Postulate.
How to prove a parallelogram is true?From the given parallelogram, we can say that opposite sides of a parallelogram are equal and congruent and as such, we have;
∠1 ≅ ∠3 and ∠2 ≅ ∠4 due to them being alternate interior angles.
Secondly, we can say that DF is congruent to itself as DF ≅ DF due to the reflexive property of congruence.
Thirdly, we can say that ΔDGF ≅ ΔFED from ASA Congruence Postulate.
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Four-ninths of the students at Edison Junior High School walk to school. If 248 students walk to school, how many students attend Edison Junior High School?
Please put a numerical explantion
Answers
9514 1404 393
Answer:
558
Step-by-step explanation:
Let p represent the student population at Edison Jr High. Then we know ...
(4/9)p = 248 . . . . . 248 students is 4/9 of the student population
p = 248(9/4) = 558 . . . multiply the equation by 9/4
558 students attend Edison Jr. High.
which difficulty of range as a measure of variability is overcome by interquartile range?
Answers
The is used as a measure of to overcome the range is influenced too much by .
?
are then selected as 3 points such that
they create four groups in the data, each groups approximately possessing 25% of the data.
(inter quartile range) is defined as the between third and first quartile.
Since, range is used as a measure of to overcome the difficult of the range.
The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.
Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by
Learn more about here:
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#
The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.
The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.
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En un tablero de 1×100 las casillas están numeradas del 1 al 100. Se pintan las casillas con tres colores, de izquierda a derecha, de la siguiente manera: la primera casilla azul, a continuación 2 rojas, luego 3 verdes, luego 4 azules, 5 rojas, y así siguiendo, cada vez se ointa una casilla más. ¿Qué número tiene la última casilla pintada de azul? Explica cómo lo encontraste
Answers
The last blue colored square on a 1x100 board with alternating color pattern every increasing number is 97th box.
In an 1x100 board, the boxes are numbered from 1 to 100. The boxes are painted with three colors from left to right in the following way: the first box is blue, then 2 red boxes, then 3 green boxes, then 4 blue boxes, 5 red boxes, and so on, painting one more box each time. What number is the last blue painted box? Explain how you found it.
To solve the problem, we need to find the pattern in the way the boxes are painted. We can notice that the colors repeat after every three boxes, so we need to find the remainder when 100 is divided by 3.
100 ÷ 3 gives a quotient of 33 and a remainder of 1.
This means that after painting 99 boxes, the next box would be the first blue box again. Therefore, the last blue painted box is the 97th box, which is two boxes before the first blue box on the board.
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Please help due today
Answers
Answer:
The event is unlikely.
Step-by-step explanation:
Probabilities under 50% (0.50) are considered unlikely.
Sam said the formula for the perimeter of a rectangle is two times the length plus two times the width or 2 L + 2 W . Mary said it is two times the length plus the width or 2 ( L + W ). Who is correct?
Answers
a major disadvantage of correlations is that they cannot make a(n) blank statement. multiple choice question.
Answers
A major disadvantage of correlations is that they cannot make a cause-and-effect statement.
What are correlations?Correlations are statistical measures that describe the size and direction of a relationship between variables.
Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.
The disadvantages of correlations include:
There are no causes and effects.Results can find no inference.The strength of the relationship is not explained.There is the possibility of a confounding factor.Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.
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\(3 \times 4x \times 2y\)
how do you simplify?
Answers
Answer:
24 x y
Step-by-step explanation:
Simplify the following:
3×4×2 x y
Hint: | Multiply 3 and 4 together.
3×4 = 12:
12×2 x y
Hint: | Multiply 12 and 2 together.
12×2 = 24:
Answer: 24 x y
You are given a number. Do you know the number that is 1/5 as big
Answers
To find the number that is 1/5 as big as the given number, you need to divide the given number by 5.
What is fraction?A fraction is a numerical quantity that represents a part of a whole. Fractions are typically written in the form of two numbers separated by a horizontal line, with the number on top called the numerator and the number on the bottom called the denominator. Fractions can be used to represent numbers that are less than one, as well as numbers that are greater than one. They can be added, subtracted, multiplied, and divided like any other numbers, and they can be converted into decimals or percentages for easier comparison and computation. Fractions are commonly used in everyday life, for example, when dividing a pizza into equal slices or calculating a discount on a sale item. They are also used extensively in mathematics, science, and engineering to represent ratios, proportions, and other relationships between quantities.
Here,
For example, if the given number is 20, to find the number that is 1/5 as big, you would divide 20 by 5, which gives you 4. So, the answer to your question depends on the specific number that you have been given. If you provide me with the number, I can help you find the number that is 1/5 as big.
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Complete question:
You are given a number. Do you know the number that is 1/5 as big as the given number?
a city recreation department plans to build a rectangular playground having an area of 16,900 square meters and surround it by a fence. how can this be done using the least amount of fencing? make the playground 26 meters by 650 meters make the playground 1300 meters by 13 meters make the playground 130 meters by 90 meters. make the playground 65 meters by 260 meters
Answers
The least amount of fencing to surround the playground is to use a dimension 130m by 90m
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. Calculating the perimeter has several practical applications.
The area of the play ground is 16900m². To find the possible dimensions of length and width we find the factors of 16900
The factors are 26×650, 1300× 13, 130×90 and 65×260
The formula of perimeter of a rectangle is 2(l+w)
using all these factors, dimension 130 and 90 will give the least perimeter of 440 i.e 2(130+90)= 440.
Therefore the least dimension for fencing the play ground is 130m by 90m.
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HELP ME !!!!!
Help me please !!!!
Answers
Answer: 141.3cm^3
Step-by-step explanation:
Pi((3)^2)(-5)
Pi(9)(5)
Pi(45)
3.14×45
141.3
In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z?
Answers
Answer:
19
Step-by-step explanation:
6×(6+14) = 5×(5+z)
120 = 25 + 5z
95 = 5z
z = 19
A heavy rope, 70 ft long and weighing 49 lbs, hangs over the edge of a building 100 ft high. How much work W is done in pulling the rope up 20 ft
Answers
The work done in pulling the rope up 20 ft is 101.43 ft-lbs.
To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:
Potential Energy = weight * height
where weight is the weight of the rope and height is the distance the rope is hanging from.
Given:
Length of the rope (L) = 70 ft
Weight of the rope (Wt) = 49 lbs
Height of the building (H) = 100 ft
Height to which the rope is lifted (h) = 20 ft
Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:
d^2 = H^2 + L^2
d^2 = 100^2 + 70^2
d^2 = 10000 + 4900
d^2 = 14900
d = \(\sqrt{14900}\)
d = 122.07 ft
Now we can find the initial potential energy of the rope:
Potential Energy = Wt * d
Potential Energy = 49 * 122.02
Potential Energy = 5981.43 ft-lbs
Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:
Final Potential Energy = Wt * (H + h)
Final Potential Energy = 49 * 120
Final Potential Energy = 5880 ft-lbs
Finally, we can find the work done in lifting the rope up 20 ft:
Work Done = Initial Potential Energy - Final Potential Energy
Work Done = 5981.43 - 5880
Work Done = 101.43 ft-lbs
Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.
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I need help pls! Giving brainliest and extra points!
Answers
Answer:
y = 8x+6
Step-by-step explanation:
First find the slope since it is a linear function
m = (y2-y1)/(x2-x1)
= (18-2)/(1 1/2 - -1/2)
=16 / (1 1/2 +1/2)
= 16/2
= 8
The linear function is in the form
y = mx+b where m is the slope
y = 8x+b
Substitute the other point into the equation to determine b
10 = 8(1/2) +b
10 = 4+b
10-4 = b
6 = b
y = 8x+6
What is the SLOPE of the line that goes through the points (20,-3) and
(-16.-3)?
Answers
Answer:
0
Step-by-step explanation:
m=y2-y1
____
x2-x1
m=-3-(-3) =(-3+3)/(-36) =0/-36=0
_____
-16-20
Henry drives at a speed of 80miles per hour how long will it take to drive 400miles
Answers
Step-by-step explanation:
solve using elimination 3x-3y=-9,-4x+5y=8
Answers
let me know if you have any questions
What's the ratio? please help! Urgent!
Answers
Answer:
13:5
Step-by-step explanation:
Messy played 65 minutes while the substitute played 25 minutes. This ratio is 65:25 and can be simplified to 13:5.
if two random vectors are independent, then after a same transformation, are they still independent?
Answers
Answer:
Yes, if two random vectors are independent, then after a same transformation they are still independent. This is a consequence of the fact that the transformation of independent random variables does not affect their independence.
To understand this, suppose we have two independent random vectors X and Y, and a transformation function f(.).
If we apply the same transformation f(.) to both X and Y to get f(X) and f(Y), then the independence between X and Y will still hold in the transformed variables f(X) and f(Y).
This is because the transformation f(.) does not introduce any new relationship between the variables, it simply changes their scale or shape. As a result, if X and Y are independent, then f(X) and f(Y) will also be independent.
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HELPPP!!!!!!!!!!!!!!
Answers
Answer:
5 units to the right
Step-by-step explanation:
if you take a point from one of the shapes for example point A on the left triangle and count how many squares there are till you get to point A on the other triangle it is 5 squares
therefore its 5 units to the right
Simplify: (-2) +26+(-8+6)-2-(-10) – 22 Evaluate each expression below when x = 4, y = 2 and 7 =-1:
Answers
We are given the following expression
\((-2)^2+26\div(-8+6)\cdot2-(-10)-2^2\)Recall that the order of operations (PEMDAS) is given by
1st = P = Parentheses
2nd = E = Exponents
3rd = MD = Multiply or Divide
4th = AS = Addition or Subtraction
Let us follow the above PEMDAS rule to simplify the given expression
\(\begin{gathered} (-2)^2+26\div(-8+6)\cdot2-(-10)-2^2 \\ -2^2+26\div-2\cdot2+10-2^2 \\ 4^{}+26\div-2\cdot2+10-4 \\ 4^{}-13\cdot2+10-4 \\ 4^{}-26+10-4 \\ -26+10 \\ -16 \end{gathered}\)Therefore, the simplified expression is -16
Which of the following numbers has the most number of significant digits?
A. 1.56
B. 23.07755
C. 500.005
D. 1.005
Answers
Answer: B. 23.07755 has 7 significant digits
Step-by-step explanation:
please help me quickly
Answers
Answer:
Divide 4 to both sides of the equation