a) The use of different amounts of fertilizer in different fields confounds the experimental analysis in the absence of randomization because it introduces a potential source of variation that is not accounted for.
b) To adjust for the confounding effect of different fertilizer amounts, the correct answer would be to choose option B: Add a quantitative explanatory variable for the amount of fertilizer used
a) The use of different amounts of fertilizer confounds the experimental analysis because it introduces an additional factor (fertilizer amount) that could potentially influence the outcome (yield) alongside the seed variety. Without randomization, it becomes difficult to separate the effects of the seed variety and fertilizer amount on the observed differences in yield.
b) In order to adjust for the confounding effect of different fertilizer amounts, the analyst should add a quantitative explanatory variable for the amount of fertilizer used. This allows for the inclusion of the fertilizer amount as a covariate in the regression model, enabling the analyst to assess the independent effect of the seed variety on yield while controlling for the varying fertilizer amounts across different fields.
Choosing option A (Fertilizer use is not uniform for each type of seed) or option C (Yield is uncorrelated with fertilizer use) would not appropriately address the confounding issue. Option D (Seed variety is highly correlated with fertilizer use) suggests a potential collinearity issue between the seed variety and fertilizer use, which might lead to biased estimates. The most suitable approach is to include a quantitative explanatory variable for the amount of fertilizer used, as stated in option B. This allows for proper adjustment and control of the confounding effect in the analysis.
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In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.
Answer:
1/4
Step-by-step explanation:
Add the three amounts:
25 ml + 30 ml + 45 ml = 100 ml
These three amounts make 100 ml of fruit cocktail.
The amount of orange juice is 25 ml.
The fraction of orange juice is
(25 ml)/(100 ml) = 25/100 = 1/4
Answer: 1/4
write a linear eqaution for the point (3,-5) and slope=-4
Answer:
y = -4x + 7
Step-by-step explanation:
Write a polynomial function with rational coefficients so that P(x) = 0, given roots at x = 2i and x = 1.
The least polynomial whose roots includes x = + i 2 and x = 1 is equal to x³ - x² + 4 · x - 4 = 0.
How to derive a polynomial with real coefficients
In this problem we must determine a polynomial, whose coefficients are all real and whose roots includes x = + i 2 and x = 1. According to quadratic formula, quadratic equations with real coefficients may have two complex roots of the form α ± β, where α, β are complex numbers.
Then, the complete set of roots for the least polynomial with real coefficients are:
x₁ = + i 2, x₂ = - i 2, x₃ = 1
Then, the factor form of the least polynomial is:
(x - i 2) · (x + i 2) · (x - 1) = 0
And the standard form of the least polynomial:
(x² - i² 4) · (x - 1) = 0
(x² + 4) · (x - 1) = 0
x³ + 4 · x - x² - 4 = 0
x³ - x² + 4 · x - 4 = 0
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Subtract the equations 5x+4y= 25 -(5x+2y=3)
Please tell me the answer up to e no.
(I think you need a-e, if not let me know and I will edit accordingly)
a: Divide both sides by 4
cm -> 12:8
3:2
b: Convert and divide both sides by 3
cm -> 150:9
50:3
c: Convert and divide both sides by 20
cm -> 100:80
5:4
d: Convert and divide both sides by 4
months -> 4:12
1:3
e: Convert and divide both sides by 250
g -> 2000:250
8:1
Hope this helps, have a nice day :)
What is the equation of the line that is parallel to the y-axis, containing the ordered pair (1, -3)?
18(d/3-6)=144 (solve for d)
Answer:
42
Step-by-step explanation:
To solve for d, we need to isolate d on one side of the equation.
First, let's simplify the left side by distributing 18 to the expression inside the parentheses:
18(d/3 - 6) = 18(d/3) - 18(6)
18(d/3 - 6) = 6d - 108
Now we have:
6d - 108 = 144
Let's add 108 to both sides to isolate 6d:
6d - 108 + 108 = 144 + 108
6d = 252
Finally, we can solve for d by dividing both sides by 6:
6d/6 = 252/6
d = 42
The solution is d = 42.
Martin needed to buy a new bookcase. At the store, he found a bookcase to buy that had a price of $199. However, the bookcase also had a sign which said it was 20% off the original price. How much did Martin pay for the bookcase?
Answer:
$159.2
Step-by-step explanation:
$199 represents 100% of the cost, but since it is 20% off you subtract 20% from the 100%. Then you multiply what you got from the previous step to get your answer.
100%-20%=80%
199*0.8=159.2
Calculate the perimeter of this right- angled triangle. Give your answer in metres (m) to 1 d.p. 7m 16 m
Answer:
P = 37.4 m
Step-by-step explanation:
let the third side of the triangle be x
using Pythagoras' identity in the right triangle.
x² + 7² = 16²
x² + 49 = 256 ( subtract 49 from both sides )
x² = 207 ( take square root of both sides )
x = \(\sqrt{207}\) ≈ 14.4 m ( to 1 decimal place )
the perimeter (P) is then the sum of the 3 sides
P = 7 + 16 + 14.4 = 37.4 m
Which form of fiber art involves placing two sets of parallel fibers at right angles and interlacing one set with the other
The answer is that the form of fiber art that involves placing two sets of parallel fibers at right angles and interlacing one set with the other is called weaving.
Weaving is the process of creating fabric by interlacing two sets of threads, known as the warp and weft, at right angles. The warp threads are stretched vertically on a loom, while the weft threads are woven horizontally across the warp. This results in a stable and durable fabric that can be used for a variety of purposes. Weaving has been used for centuries in cultures around the world to create clothing, textiles, and other functional and decorative items.
In weaving, the two sets of fibers are called the warp and the weft. The warp fibers run vertically and are held in tension on a loom. The weft fibers run horizontally and are woven over and under the warp fibers. This process of interlacing the warp and weft fibers creates a strong and flexible fabric, and it allows for the creation of various patterns and designs. Weaving is used in many different cultures and can be seen in a variety of fiber art forms, such as tapestries, rugs, and clothing.
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Each expression with the appropiate property:
Answer:
It is the Commutative property.
Step-by-step explanation: The word commutative comes from the word "move around" in this case all the numbers did was switch positions. Another example; 2+3=3+2 that is commutative property because the numbers were moved. Much similar to your problem
Given g(x) = -x − 3, find g(-3).
Answer:
0
Step-by-step explanation:
g(-3) = -(-3)-3
\((y + 4) = -(1)/(3)(x + 1)\\(y −1) = -(1)/(3)(x − 2)\\(y−4) = -(5)/(3)(x− 1)\\(y+4) = (5)/(3)(x+ 1)\)Select the correct answer.
Graph shows a line plotted on a coordinate plane. The line goes through the points at (minus 1, minus 4) in quadrant 3, and (2, 1) in quadrant 1.
Which equation is in point-slope form and depicts the equation of this line?
A. (y + 4) = -(1)/(3)(x + 1)
B. (y −1) = -(1)/(3)(x − 2)
C. (y−4) = -(5)/(3)(x− 1)
D. (y+4) = (5)/(3)(x+ 1)
In point-slope form, the equation of the line passing through the points (-1, -4) and (2, 1) is
D. (y+4) = (5)/(3)(x+ 1)
How to write the equation of the lineTo find the equation of a line in point-slope form, we need the slope of the line and a point that lies on the line.
Given the two points on the line: (-1, -4) and (2, 1), we can calculate the slope using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
slope = (1 - (-4)) / (2 - (-1))
= 5 / 3
choose one of the points, say (-1, -4), and use the point-slope form to write the equation of the line
y - y₁ = m(x - x₁)
y - (-4) = (5/3)(x - (-1))
y + 4 = (5/3)(x + 1)
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Can someone help me with this?
Answer:
20 feet
Step-by-step explanation:
We can use scale factors to represent the lengths. Since the flagpole's base is 4 times the tree's height, we can also say that the flagpole's height is 4 times the tree's height. Since the tree's height is 5 feet, the flagpole's height is 4 x 5, which is 20.
Simplify the expression
x - (-2x + 4)
find the slope between the pair of points (1,3) and (7,2)
Answer:
\(\bold{m=-\dfrac16}\)
Step-by-step explanation:
\(\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}\)
(1, 3) ⇒ x₁ = 1, y₁ = 3
(7, 2) ⇒ x₂ = 7, y₂ = 2
So the slope:
\(\bold{m=\dfrac{2-3}{7-1}=\dfrac{-1}6=-\dfrac16}\)
15 meters
3. What is
as a unit rate?
3 minutes
A. 5 meters per minute
B. 10 meters per minute
C. 12 meters per minute
D. 15 meters per 3 minutes
Answer:
unit rate of 3mins is,given that 15meters of 3 is a meter is 100decimeter that is 15m =15×100=1500/3=5 the and is A
Piper invested $4,700 in an account paying an interest rate of 4. 8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?.
Assuming no deposits or withdrawals are made, the amount in the account after 19 years is: 11,454. 133.
How to find the amount in the account?Using this formula
A = P(1+r/100)ⁿ
Where:
A = Amount =?
P = Principal = $4700
r = Interest rate =4.8%
n = the number of periods =19 years
Let plug in the formula
A = 4,700 (1 + 4.8/100)¹⁹
A = 4,700 (1 + 0.048)¹⁹
A = 4,700 (1.048)¹⁹
A = $11,454. 133
Therefore the amount is $11,454. 133.
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Lauren drove 232 miles in 4 hours if she continued at the same rate how far would she travel in 15 hours
David earned a total of $378.75 in 15 hours. How much did David earn per hour?
Answer:
$25.25
Step-by-step explanation:
amount per hour = total amount divided by hours worked
= $378.75/15
= $25.25
which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality
Answer: B.Side side side similarity theorem
Step-by-step explanation:
Hope this helps <3
^^^^ B.Side side side similarity theorem is correct
i just took the test and it was right!
A survey showed that 4 out of 5 students own a bicycle. Based on this result, how many of the 800 students in a school own a bicycle? Use any strategy to solve.
Answer:
640 students
Step-by-step explanation:
We are told in the question that 4 out of every 5 students owns a bicycle
This also means , out of every 5 students only 1 does not have bicycle
Then we have a ratio of 4 : 1
This means a fraction of 4/5 students own a bicycle in a school
Based on this result, how many of the 800 students in a school own a bicycle?
This calculated as:
4/5 × 800
= 640 students
Therefore, 640 students out of 800 students own a bicycle
Apply
4. jing is putting a special restorative stain on the entire surface
of her rectangular prism shaped hope chest, except for her
name plate that measures foot by foot. if one can of
stain covers about 35 square feet, how many cans of stain
j3n
will she need to buy?
Jing will need to round up and buy 2 cans of stain to make sure she has enough to cover the entire surface of the hope chest.
What is the Rectangular Prism?A rectangular prism is a three-dimensional shape with six faces that are rectangles. It is also known as a rectangular cuboid. It has three dimensions: length, width, and height. The length is the distance along the longest side of the rectangular prism, the width is the distance along the shorter side, and the height is the distance perpendicular to the length and width. All of the faces of a rectangular prism are rectangles, and opposite faces are the same size.
To find out how many cans of stain Jing will need to buy, you need to first find the surface area of the hope chest. To do this, you will need to find the surface area of each of the six faces of the rectangular prism and then add them together.
The surface area of a rectangular is given by:
Surface Area = 2lw + 2lh + 2whprism
Where l is the length of the rectangular prism, w is the width, and h is the height.
If you know the dimensions of the hope chest, you can plug those values into the formula to find the surface area. For example, if the hope chest is 4 feet long, 3 feet wide, and 2 feet tall, the surface area would be:
Surface Area = 2(4)(3) + 2(4)(2) + 2(3)(2) = 24 + 16 + 12 = 52 square feet
Once you know the surface area of the hope chest, you can divide that number by the coverage area of one can of stain to find out how many cans Jing will need to buy. For example, if one can of stain covers 35 square feet and the surface area of the hope chest is 52 square feet, Jing will need to buy:
Cans of Stain = Surface Area / Coverage Area per Can = 52 square feet / 35 square feet per can = 1.49 cans
Therefore, Jing will need to round up and buy 2 cans of stain to make sure she has enough to cover the entire surface of the hope chest.
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Please help everything you need is on the picture.
please help me do I will really appreciate it so much :)
Answer:
ZYX=39
ZXY=64
X=1
Step-by-step explanation:
please graph y≤ 2x-3
the
net migration is confusing me. i thought of using the formula:
[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration?
do i p
The value of the rate of growth in Japan is - 0.55.
From the question above, :Birth rate = 7.7 per thousand
Death rate = 9.8 per thousand
Net migration = 0.55 per thousand
The rate of growth can be calculated using the following formula:
r = (birth rate - death rate) + net migration
Where,r = rate of growth
birth rate = number of live births per thousand in a population in a given year
death rate = number of deaths per thousand in a population in a given year
net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year
Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.
Therefore, the rate of growth in Japan is - 0.55.
Your question is incomplete but most probably your full question was:
thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration.
Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan
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For numbers 5 - 6, fill in the boxes for the area method, and then put a check mark next to the correct answer.
(5 points per question: 1 point for each blank and 1 point for the correct answer). 5. Fill in the blanks within the area model for (4a - 2b)(12a + 6b) and then put a check next to the answer after simplifying (combining like terms).
4a
Answer: 12a + 6b
-2b
-8ab
Check: 48a^2 - 24b^2
Step-by-step explanation:
Cam someone help plss
Answer:
let y=0
3x+6(0)=18
3x=18
x=6
(6;0)
Answer: 3
Step-by-step explanation: If you solve the equation, like I did in the attached image, you will see that the x-intercept is 3.
Score: 0 of 1 pt
x 7.3.7
Amanter on the edge of a mol has the shape a rectangular prism. It is 9 inches high, 2 inches wide, and 14 feet long. How much water can the gutter hold in cubic inches in gallons? Use the fact that
1231 inches
The gather canto cubic inches of water
Answer:
1.1 gallons
Step-by-step explanation:
Given that the shape of the gutter is in the form of a rectangular prism with length 14 feet, width 2 inches and of height 9 inches.
The volume of the gutter = length x width x height
= 14 x 2 x 9
= 252
The volume of the gutter = 252 cubic inches
But with the given fact, we divide the volume determined by 231 inches.
Then,
the required volume in gallons = \(\frac{252}{231}\)
= 1.090908
The gutter can hold water of 1.1 gallons.