what fraction of the variability in bean heights can be explained by the linear model of bean height vs width?
Answers
Answer:2
Step-by-step explanation:
Related Questions
perform the addition or subtraction and use the fundamental identities to simplify. there is more than one correct form of the answer. 3 1 cos x 3 1 − cos x
Answers
The one possible simplified form of the expression is (1 + cos x) / sin²x.
How we perform the addition or subtraction to simplify?To perform the addition or subtraction and use the fundamental identities to simplify the given expression, 3(1 + cos x) ÷ 3(1 - cos x),
Begin by expanding the numerator and the denominator: (3 + 3cos x) ÷ (3 - 3cos x).Notice that the expression has a common factor of 3 in both the numerator and the denominator. You can simplify the expression by dividing both the numerator and the denominator by 3: (3 + 3cos x) ÷ (3 - 3cos x) = (1 + cos x) / (1 - cos x).Now, you can use the fundamental trigonometric identity sin²x + cos²x = 1. Since you have cos x in the expression, solve for sin²x in the identity: sin²x = 1 - cos²x.Replace the (1 - cos x) in the denominator with sin²x, which gives you: (1 + cos x) ÷ sin²x.Learn more about Fundamental identities
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How many polynomials can be formed with and 5 as zeroes?
Answers
The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.
What is a polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.
Given that the zeros of a polynomial are -2 and 5.
The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].
where k is a real number.
The polynomial that has -2 and 5 zeros is
p(x) = k[x² + (-2 + 5)x + (-2)×5]
p(x) = k[x² + 3x - 10]
Where k is a real number.
The number of real numbers is infinity.
The number of polynomials is infinity.
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Triangle ABC is an isosceles triangle. Find the measure of each base angle.
Answers
The measure of each base angle of the isosceles triangle is given as follows:
80º.
How to obtain the angle measure?An isosceles triangle is an angle that has two equal side lengths, meaning that the base angles also have the same measure.
For the top angle of the isosceles triangle ABC, we have that the semicircle, which has an arc length of 180º, is divided into 9 regions, hence it's measure is calculated as follows:
Top angle = 180º/9 = 20º.
For the base angles, each of them have the same measure, which we are going to call x.
The sum of the measures of the internal angles is of 180º, hence the value of x can be found as follows:
20 + 2x = 180
2x = 160
x = 160/2
x = 80º.
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How do I solve both equations ?
Answers
Answer:
a) 56.25 mph
b) $1.59/lb
Step-by-step explanation:
The units of the "unit rate" tell you the math operation you need to perform.
a)Miles per hour (mi/h) is found by dividing miles by hours.
(450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h
b)
Dollars per pound ($/pound) is found by dividing dollars by pounds.
($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound
__
Additional comment
In the context of unit rates, "per" means "divided by."
What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.
Consider the following hypothesis statement using α= 0.10 and data from two independent samples:
H0μ1−μ2≤0vsHaμ1−μ2>0
Sample 1: sample size = 22, variance = 8, mean = 51
Sample 2: sample size = 20, variance = 11, mean = 50.5
Assume the samples are independent and normally distributed with equal variance.
The test statistic is equal to [ Select ] ["-2.04", "0.53", "-0.53", "3.09", "2.04"] , the degrees of freedom [ Select ] ["40", "38", "44", "42"] , the critical value is [ Select ] ["1.684", "2.021", "2.423", "1.303"] , and p-value i s [ Select ] ["< 0.05", "0.699", "0.299", "< 0.01"] . The conclusion is [ Select ] ["We don't have enough evidence to conclude that the difference in means are > 0, therefore H0 is not rejected.", "Reject H0, the difference in means are > 0"] :
Find the p-value.
Answers
Thus, the p-value is greater than 0.10 (the significance level α), indicating that there is not enough evidence to support the alternative hypothesis.
To find the p-value, we need to calculate the test statistic and compare it to the critical value.
Given:
Sample 1: sample size (n1) = 22, variance (\(s_{1}^2\))
= 8, mean (x1(bar))
= 51
Sample 2: sample size (n2) = 20, variance (\(s_{2}^2)\)
= 11, mean (x2(bar))
= 50.5
To calculate the test statistic, we can use the formula for the difference in means:
t = (x1(bar) - x2(bar)) / √((\(s_{1}^2\)/n1) + (\(s_{2}^2\)/n2))
Substituting the given values:
t = (51 - 50.5) / √((8/22) + (11/20))
= 0.5 / √(0.3636 + 0.55)
= 0.5 / √0.9136
≈ 0.53
Now we need to find the degrees of freedom. For independent samples with equal variance, the degrees of freedom (df) can be calculated using the formula:
df = n1 + n2 - 2
Substituting the given values:
df = 22 + 20 - 2
= 40
With α = 0.10, the critical value for a one-tailed test (upper tail) with 40 degrees of freedom is 1.684.
Now, we can determine the p-value. Since the alternative hypothesis is μ1 - μ2 > 0, we are conducting an upper-tailed test.
The p-value is the probability of obtaining a test statistic as extreme as the one observed (t = 0.53) under the null hypothesis.
By comparing the test statistic to the critical value, we can determine the conclusion:
Since the test statistic (0.53) is less than the critical value (1.684), we fail to reject the null hypothesis.
Therefore, the conclusion is: "We don't have enough evidence to conclude that the difference in means is > 0; therefore, H0 is not rejected."
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find tan a in a triangle
a 20/21
b 21/29
c 21/20
d 20/29
Answers
Answer:
Option C
Step-by-step explanation:
By applying tan rule in the given triangle ABC,
tan(a) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
= \(\frac{BC}{AC}\)
= \(\frac{21}{20}\)
Therefore, Option C is the correct option.
A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee blend that normally sells for $13.50 per pound to create 40 pounds of a coffee that can sell for $10.37 per pound. How many pounds of each kind of coffee should they mix
Answers
Answer:
Rift =37.92 pounds
Terraza=2.08 pounds
9514 1404 393
Answer:
Rift Valley: 37 31/33 ≈ 37.94 lbTerraza: 2 2/33 ≈ 2.06 lbStep-by-step explanation:
Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...
13.50t +10.20(40 -t) = 10.37(40)
3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408
t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza
Then the quantity of Rift Valley blend required is ...
40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
Answers
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
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Let LA be the linear map from R2 to R2 defined by LA(v) = Av, and let LB be the linear map from R2 to R2 defined by LB (v) = Bʊ where
A = -5 -1 25 5
and
B = 41 15 -112 -41
The composition LA O LB is again a linear map Lc determined by a (2 x 2)-matrix C, such that Lc (v) = Cv.
Calculate C.
C=
Answers
C = AB is the matrix of the linear map LC(v) = A(Bv) from R2 to R2 where LA is the linear map from R2 to R2 defined by LA(v) = Av, and let LB be the linear map from R2 to R2 defined by LB (v) = Bʊ where A and B are matrices of the linear maps LA and LB.
Let LA be the linear map from R2 to R2 defined by LA(v) = Av, and let LB be the linear map from R2 to R2 defined by LB (v) = Bʊ where A and B are matrices of the linear maps LA and LB.
We need to find the matrix of the linear map LC(v) = A(Bv) from R2 to R2.The matrix of LA is A, i.e., LA(x) = Ax for all x in R2.
The matrix of LB is B, i.e., LB(x) = Bx for all x in R2.The composition of LA and LB is LC(x) = LA(LB(x)) = A(Bx) = (AB)x for all x in R2.
The matrix of LC is AB, i.e., LC(x) = (AB)x for all x in R2.
Therefore, C = AB is the matrix of the linear map LC(v) = A(Bv) from R2 to R2 where LA is the linear map from R2 to R2 defined by LA(v) = Av, and let LB be the linear map from R2 to R2 defined by LB (v) = Bʊ where A and B are matrices of the linear maps LA and LB.
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The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100 What is the variance for the data? Variance: s squared = StartFraction (x 1 minus x Overbar) squared (x 2 minus x Overbar) squared ellipsis (x n minus x Overbar) squared Over n minus 1 EndFraction 118. 35 132. 32 14,006 17,507. 5.
Answers
The variance for the data is 17,507. 5.
Given
The weekly salaries of a sample of employees at the local bank are given in the table below.
Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.
VarianceVariance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean value of the salaries of employees is;
\(\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287\)
The variance is given by;
\(\rm Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5\)
Hence, the variance for the data is 17,507. 5.
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Answer:
17,507.5
Step-by-step explanation:
The answer above is correct.
Write an equation to show how to find the product of 1,000,000 and 1,000,000 using scientific notation.
Answers
The equation to show how to find the product of 1,000,000 and 1,000,000 using scientific notation can be expressed as (10^6 * 10^6).
What is the scientific notation?A number can be written in scientific notation in a case whereby the number is greater than or equal to 1 however not up to 10 multiplied by a power of 10.
Given that 1,000,000 and 1,000,000 which can be written in scientific notation as 1.0 * 10^6 and 1*10^6, then th product can be written as (10^6 * 10^6) = 10^12.
Hence, the product is 10^12.
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For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions
Answers
Answer:
A. i and ii
Step-by-step explanation:
i) 15 - x = -3
x=18
ii) x/2 + 6 = 15
x/2 = 9
x= 18
iii) -1/3x -5.7 = 0.3
-1/3x = 6
x = -18
Find the area AND perimeter of this shape.
Answers
Answer:
Area: 2206.86 square m
Perimeter: 194.25 m
Step-by-step explanation:
Area:
30 x 50 = 1500 square m
30/2 = 15 = the radius of the semi circles
pi x 15^2 = 706.86 square m
1500 + 706.86 = 2206.86 square m
Perimeter:
pi x 15 x 2 = 94.25 m
94.25 (perimeter of both semi circles) + (50 x 2) = 194.25 m
please solution
this question quickly
If the standard
time is 234.15 minute and the basic time is 233.4 minute, the
allowance time is:
0.75
minute
0.57
minute
0.80
minute
Answers
The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute
To calculate the allowance time, we can use the following formula:
Allowance time = Standard time - Basic time
Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes
Therefore, the allowance time is 0.75 minutes.
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find the sector of 14m of 75
Answers
The area of the sector is 128.26 square meters.
The area of a sector of a circle is given by the formula:
A = (θ/360) × π\(r^2\)
where A is the area of the sector, θ is the central angle of the sector in degrees, and r is the radius of the circle.
In this case, we are given that the radius of the circle is 14 m and the angle of the sector is 75 degrees. Therefore, we can use the formula above to find the area of the sector:
A = (75/360) × π\((14)^2\)
Simplifying and evaluating the expression, we get:
A = (5/24) × π(196)
A = (5/24) × 196 × π
A= 0.2083 × 196 × 3.1415
A ≈ 128.26 square meters
Therefore, the area of the sector of a circle with a radius of 14 m and an angle of 75 degrees is approximately 128.26 square meters.
The question was Incomplete, Find the full content below :
Find the area of the sector of a circle whose radius is 14 m and the angle of the sector is 75⁰
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how many total calories are available from a serving of crackers that contains 4 grams of fat, 21 grams of carbohydrate and 2 grams of protein?
Answers
The number of calories per gram for each macronutrient is:
- Fat: 9 calories per gram
- Carbohydrate: 4 calories per gram
- Protein: 4 calories per gram
Using these values, we can calculate the total number of calories in a serving of crackers as follows:
Total calories = (4 grams of fat x 9 calories per gram) + (21 grams of carbohydrate x 4 calories per gram) + (2 grams of protein x 4 calories per gram)
Total calories = 36 + 84 + 8
Total calories = 128
Therefore, there are 128 total calories available from a serving of crackers that contains 4 grams of fat, 21 grams of carbohydrate, and 2 grams of protein.
A bus leaves the station every 12 minutes
A train leaves the station every 18 minutes
At 8am a bus and a train leave their stations at the same time.
a) when is the next time that a bus and a train leave at the same time?
b) Between 8am and 11am, on how many occasions does a bus and a train leave at the same time?
thank you so much for the help
Answers
Answer:
a) 8:32 am
b) 5 occasions
if x=2 and x=y what is y
Answers
Answer:
2 = x (by the symmetric property) and x = y, so y = 2 by the transitive property.
kim rented skates for h hours.The rental free was $2.50 per hour. she paid a total a 2.5h=20 b 1.5h=10 c 1.5h=20 d 2.5h=10l of $20
Answers
Answer:
2.5h=20
Step-by-step explanation:
:D
What would be the estimated loss in income from operations if the solvent production were temporarily suspended for May? If a loss is incurred, enter that amount as a negative number using a minus sign.
Answers
The estimated loss in income from operations if solvent production were to be temporarily suspended for May would depend on the number of operations that utilize solvent production, the demand for the product, the loss of productivity, and any additional costs associated with the suspension.
For example, if the operations are production-intensive, a suspension would lead to a decrease in output and sales, which would lead to a decrease in income. Additionally, the costs associated with the suspension, such as additional manpower and resources needed to resume production and any repairs, could lead to a further decrease in income.
Overall, the exact amount of the estimated loss in income is difficult to determine without further information. However, it is safe to assume that any suspension of solvent production will lead to a decrease in income.
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see image for question. HELP PLEASE
Answers
Answer: the last question at the very bottom
Step-by-step explanation:
the graph is not a scatter plot, so its a line plot .
solve the equation for x and enter your answer in the box below
x + 14 =27
Answers
Answer: x = 13
Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.
So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.
The +14 -14 cancels out so we're left with x on the left.
On the right, we must subtract 14 from 27 to get 13.
So we have x = 13 which is the solution to this equation.
Answer:
\(x = 13\)
Step-by-step explanation:
\(x + 14 = 27 \\ x = 27 - 14 \\ x = 13\)
Giving 15 points plz plz help me
Answers
name the property of real numbers illustrated by each equation
Answers
The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.
The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:
commutative property: This property states that the order of addition or multiplication does not affect the result. For example, a + b = b + a and a * b = b * a.associative property: This property states that the grouping of numbers in addition or multiplication does not affect the result. For example, (a + b) + c = a + (b + c) and (a * b) * c = a * (b * c).distributive property: This property states that multiplication distributes over addition. For example, a * (b + c) = (a * b) + (a * c).identity property: This property states that there exist unique elements called identity elements for addition and multiplication. For addition, the identity element is 0, and for multiplication, the identity element is 1. For example, a + 0 = a and a * 1 = a.inverse property: This property states that every real number has an additive inverse and a multiplicative inverse. The additive inverse of a number a is -a, and the multiplicative inverse of a non-zero number a is 1/a. For example, a + (-a) = 0 and a * (1/a) = 1.Learn more:About property of real numbers here:
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A traight line pae through the point (0, 8) and i perpendicular to y = −4x − what i the perpidicular line
Answers
Perpendicular lines are those that connect at a straight angle (90 degrees).
Define perpendicular lines.Perpendicular lines are those that connect at a straight angle (90 degrees). A perpendicular is defined in mathematics as a straight line that forms a right angle (90 degrees) with another line. In other words, if two lines intersect at a right angle, the lines are perpendicular to one another. When a line is perpendicular to the plane, it is said to be perpendicular to all of the plane's points or perpendicular to every line in the plane with which it intersects. If the dihedral angle at which two planes meet is a right angle, the planes are said to be perpendicular in space.
Given
Point (0,8)
Meaning of perpendicular line: Perpendicular lines are those that connect at a straight angle (90 degrees).
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the code contains four digits to the right of the decimal, the digit in the hundreds place, the digit in the tenths place is an ocean of 10 and 2.0, the digit in the thousands place is the sum of the digit in the tens place and thousands place
Answers
to hi hello how to help you out front of your house at the
Please hhhhhhhhhhhhhhhhheeeeeeeeellllppppppppp Simplify
Answers
Answer:
Does the answer help you?
Answer:
6/(x + 4)(x - 2)
Step-by-step explanation:
(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3)
12x - 96 = 12(x - 8)
x² - 4x - 32 = (x - 8)(x + 4)
(12x - 96)/(x² - 4x - 32) = 12/(x + 4)
6x² - 6x - 12 = (3x + 3)(2x - 4)
(6x² - 6x - 12)/(3x + 3) = 2x - 4 = 2(x - 2)
(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3) = 12/(x + 4) ÷ 2(x - 2) = 12/(x + 4) × 1/2(x - 2) = 6/(x+4)(x-2)
30% of 150 is 45 what is the base the rate and the percentage
Answers
Answer:
Step-by-step explanation:
The base is 150. The rate is 30%. The percentage is 45.
Which function has the same range as f (x) = negative 2 startroot x minus 3 endroot + 8?.
Answers
Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.
What is function ?In mathematics, the function is a unique relationship between the inputs (the domain) and the outputs (the codomain), where each of the input has precisely as one output and the output that can be linked to its input.
Some example of the simple function is f(x)= x²
Interpretation of the function.
It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.
In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.
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The correct Question is:
Which function has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g (x) = StartRoot x minus 3 EndRoot minus 8
g (x) = StartRoot x minus 3 EndRoot + 8
g (x) = negative StartRoot x + 3 EndRoot + 8
g (x) = negative StartRoot x minus 3 EndRoot minus 8
Answer:
Step-by-step explanation:
It has the same domain but not the same range as the function
Explanation:
The function:
is a reflection over the x-axis of the function:
Because every point (x, y) on f(x) is mapped onto (x, -y) on g(x), but the domain of those functions are the same as you can see in the figure below.
However, you can see that:
The range of is
The range of is
So they have different range.
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In Dec. 202X, the assets of a company increased by $10,000, and the liabilities decreased by $2,000. The owners' equity in the business must have:
Increased by $8,000.
Increased by $12,000.
Decreased by $12,000
Decreased by $8,000.
Answers
The owners' equity in the business must have increased by $12,000.
The assets of a company increased by $10,000, and the liabilities decreased by $2,000.
By the accounting equation, which states that Assets = Liabilities + Owners' Equity, we know that any change in assets or liabilities must be reflected in owners' equity.
Since the assets have increased by $10,000 and the liabilities have decreased by $2,000, the increase in owners' equity must be:
Owners' Equity = Assets - Liabilities
Owners' Equity = $10,000 - (-$2,000)
Owners' Equity = $12,000
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