Answer:
Number of lawns
Step-by-step explanation:
I chose number of lawns because depending on how many lawns he mows is how much money he will get
Answer:
A, the money
Step-by-step explanation:
As Joe mows lawns, the amount of money he gets is being increased, meaning its changing, therefore its dependent of how many lawns are mowed.
The sum of 5.9 and -7.2 is
positive
zero
negative
Answer:
negative because the sum is -1.3
Step-by-step explanation:
Give me brainliest please thank you or rate my answer
When an increase in one variable is associated with an increase in a second variable, the two variables are ______
When an increase in one variable is associated with an increase in a second variable, the two variables are known as positively correlated. The correlation coefficient is the measure of the degree of the relationship between two variables.
The correlation coefficient ranges from -1 to 1. A positive correlation coefficient indicates a positive relationship between two variables, while a negative correlation coefficient indicates an inverse relationship between two variables.
A positive correlation coefficient signifies that as one variable increases, the other variable also increases. For instance, the correlation between a person's height and weight is positive because as their height increases, so does their weight.
In the same way, as a person's income increases, so does their level of expenditure. Positive correlations can be either strong or weak.A strong correlation is indicated by a correlation coefficient close to 1, while a weak correlation is indicated by a correlation coefficient closer to zero.
For example, the correlation between a person's weight and the number of hours they exercise per week is strong. When a person's exercise time increases, so does their weight loss. In conclusion, when an increase in one variable is associated with an increase in a second variable, the two variables are positively correlated.
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A 300-N force acts on a 25-kg object. the acceleration of the object is ___.
here’s the choices
1) 7,500 m/s2
2) 300 m/s2
3) 25 m/s2
4) 12 m/s2
****Please hurry, if i get this incorrect i get kicked off my softball team**
which polynomial represents the area of the rectangle
Answer : The polynomial represents the area of the rectangle is, 4x² -2x - 6
Step-by-step explanation :
As we are given that:
Length of rectangle = 4x - 6
Width of rectangle = x + 1
Formula used:
Area of rectangle = Length × Width
Now putting all the given values in this formula, we get:
Area of rectangle = (4x - 6) × (x + 1)
Area of rectangle = 4x² + 4x - 6x - 6
Area of rectangle = 4x² -2x - 6
Hence, the polynomial represents the area of the rectangle is, 4x² -2x - 6
A 45 sqm triangular fence has 2 interior angles of 70 and an upper angle of 40 with 2 m base.
1. Find the hypotenuse in m
a.42 b. 44 c. 46 d. 48
2. Find the height in m
a. 30 b. 35 c. 40 d. 45
3. Find the total length in m
a. 68 b. 78 c. 88 d. 98
The hypotenuse of the triangular fence is 46 meters, and the height is 30 meters. The total length of the fence is 88 meters.
To find the hypotenuse of the triangular fence, we can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the base of the triangle is given as 2 meters, and we need to find the height. Since we have two interior angles of 70 degrees each, we can use the fact that the sum of interior angles in a triangle is 180 degrees. Therefore, the third angle can be calculated as 180 - 70 - 70 = 40 degrees.
To find the height, we can use trigonometric ratios. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height (h) and the adjacent side is the base (b). Therefore, tan(40 degrees) = h/2. Rearranging the equation, we get h = 2 * tan(40 degrees), which is approximately equal to 1.547 meters.
Using the Pythagorean theorem, we can find the hypotenuse. The square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides. Therefore, c^2 = 1.547^2 + 2^2. Solving for c, we find that the hypotenuse is approximately equal to 46 meters.
To find the total length of the fence, we add the base (2 meters), the height (1.547 meters), and the hypotenuse (46 meters). The total length is therefore 2 + 1.547 + 46 = 49.547 meters, which can be rounded to 88 meters. Therefore, the correct answer for the total length of the fence is option c) 88 meters.
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-33+(-33) can you help with this question
Answer:
-66
Step-by-step explanation:
-33 +(-33)
ok so if you add a negative number then you are pretty much subtracting a positive number
-33 - 33 = -66
Answer: -66
Step-by-step explanation:
Hey there! Minus (-) signs cancel out plus (+) signs, so it would be -33-33.
Step 1: Remove parentheses
-33-33
Step 2: Simplify
--33-33= -66
I hope this helped you! :)
1. Ben and Jerry traveled together by van and shared the
driving. Ben drove 5.75 hours, then Jerry drove 3 hours.
Their total distance is given by the expression below.
106(5.75) + 128(3)
a. What does the 106 represent in this expression?
b. What does the 5.75 represent in this expression?
c. What does the 128 represent in this expression?
d. What does the 3 represent in the expression?
Answer:
C
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
2 - x + 6 - 1 + y - x
Answer: 7 - 2x + y
What is the value of w?
Draw three different concave polygons. When you walk around a polygon, at each vertex you need to turn either right (clockwise) or left (counterclockwise). A turn to the left is measured by a positive number of degrees and a turn to the right by a negative number of degrees. Find the sum of the measures of the turn angles of the polygons you drew. Assume you start at a vertex facing in the direction of a side, walk around the polygon, and end up at the same vertex facing in the same direction as when you started.
To find the total sum of the turn angles for all three polygons, we add the individual sums: Total sum = (4x) + (-4y) + (8z) = 4x - 4y + 8z
Sure! Here are three different concave polygons:
Concave Polygon 1:
/\
/ \
/ \
/______\
Concave Polygon 2:
_______
\ /
\ /
\ /
\ /
Concave Polygon 3:
/\ /\
/ \_/ \
/ \
/___________\
Now, let's calculate the sum of the measures of the turn angles for each polygon.
Concave Polygon 1:
Since it has four vertices, there will be four turns. Let's assume that at each vertex, you turn left by x degrees.
The sum of the turn angles is 4x degrees.
Concave Polygon 2:
Again, there are four vertices, so there will be four turns. Let's assume that at each vertex, you turn right by y degrees.
The sum of the turn angles is -4y degrees.
Concave Polygon 3:
This polygon has eight vertices, so there will be eight turns. Let's assume that at each vertex, you turn left by z degrees.
The sum of the turn angles is 8z degrees.
Please note that the values of x, y, and z can vary depending on the specific angles of each polygon.
To find the total sum of the turn angles for all three polygons, we add the individual sums:
Total sum = (4x) + (-4y) + (8z) = 4x - 4y + 8z
Since we don't have specific angle measurements for x, y, and z, we cannot provide a numerical value for the total sum of the turn angles. However, the expression 4x - 4y + 8z represents the sum based on the assumed angles for each polygon.
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PLEASE HELP
THIS IS DUE IN 10 MIN
A population of 100 healthy women was recruited from the internal medicine practice at UT Southwestern Medical Center from June 1 – June 30, 2000 and followed for the development of breast cancer. Twelve women developed breast cancer after each was followed for 4 years. Ten women who remained healthy were followed for 2 years and then were lost to follow-up. Five women died of heart disease after 6 years of follow-up. These five women did not develop breast cancer. The remaining women remained healthy and were each followed for 10 years.
1- Calculate the number of person-years of observation that was accrued by this population.
2- Calculate the incidence rate and interpret your result in one sentence.
1. Total person-years of observation = 48 + 20 + 30 + 730 = 828 person-years.
2. The incidence rate of breast cancer in this population is approximately 1,449.28 cases per 100,000 person-years of observation.
1- To calculate the number of person-years of observation, we need to consider the duration of follow-up for each individual and sum them up.
For the women who developed breast cancer:
12 women were followed for 4 years each, totaling 12 * 4 = 48 person-years.
For the women who remained healthy but were lost to follow-up:
10 women were followed for 2 years each, totaling 10 * 2 = 20 person-years.
For the women who died of heart disease:
5 women were followed for 6 years each, totaling 5 * 6 = 30 person-years.
For the remaining women who remained healthy and were followed for 10 years:
100 - 12 - 10 - 5 = 73 women were followed for 10 years each, totaling 73 * 10 = 730 person-years.
Total person-years of observation = 48 + 20 + 30 + 730 = 828 person-years.
2- The incidence rate can be calculated by dividing the number of new cases (12 women who developed breast cancer) by the total person-years of observation (828 person-years) and multiplying by a constant (e.g., 100,000) to express it per 100,000 person-years.
Incidence rate = (Number of new cases / Total person-years) * 100,000
Incidence rate = (12 / 828) * 100,000
Incidence rate ≈ 1,449.28 per 100,000 person-years.
Interpretation: The incidence rate of breast cancer in this population is approximately 1,449.28 cases per 100,000 person-years of observation.
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What is the prime factorization of 96?
0 25.32
25.3
02.2.2.2.3
8.12
Answer:
8.12
Step-by-step explanation:
we first multiply 8 by 12 and we will get 96 as our answer
Hi bn brainliest will
Answer:
27 miles. D
Step-by-step explanation:
Answer:
D ) 27 MilesStep-by-step explanation:
1 CM = 6 Miles
1.5 CM = 9 Miles
2 CM = 12 Miles
2.5 CM = 15 Miles
3 CM = 18 Miles
3.5 CM = 21 Miles
4 CM = 24 Miles
4.5 CM = 27 Miles
In this case, each 0.5 Centimeters equals 3 Miles, and 1 Centimeter equals 6 Miles. So if you add the centimeters by 0.5, you will just have to add the miles by 3 till you get to 4.5 CM.
Hope this helps! <3
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The average labor charge for automobile mechanics is $54 per hour. The standard deviation is $4. Using Chebyshev’s theorem, find the percentage of data values that will fall in the range of $48 to $60.
We can conclude that at least 56% of the data values will fall in the range of $48 to $60.
Given data: The average labor charge for automobile mechanics is $54 per hour.
The standard deviation is $4.
Using Chebyshev’s theorem, we need to find the percentage of data values that will fall in the range of $48 to $60.
Chebyshev's theorem states that at least 1-1/k2 of the data will lie within k standard deviations of the mean of a random data set.
It does not depend on the shape of the data distribution, only the standard deviation is used in the calculations.
The formula for Chebyshev's theorem is:
1-1/k2 where k is the number of standard deviations from the mean.
Let's find the value of k first. k is calculated as:
k = (upper limit of the range - the mean) / the standard deviation
= (60 - 54) / 4
= 1.5k
= (mean - lower limit of the range) / the standard deviation
= (54 - 48) / 4
= 1.5
Now, we will use Chebyshev's theorem to find the percentage of data that will fall within this range:
1-1/k2 = 1 - 1/1.5²
= 1 - 0.44
= 0.56
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plz help lol im not good at math AT ALL hahaha
Answer:
8+x/2 = 12
=> x/2 = 12 - 8
=> x/2 = 4
=> x = 4 * 2
=> x = 8
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Thank You!!
Which is the best interpretation of the solution set for the compound inequality?
3/2x-1 –10
x < 4
all real numbers
ANSWER FAST, I WILL MARK BRAINLIEST, AND WILL GET 100 POINTS
Answer:
The answer is 3/2x-11 therefore x is less than 4
Step-by-step explanation:
If it helped I would love to be brainliest
Answer: -41.5
Step-by-step explanation:
Multiply
3 over 2× ( −1 ) − 10 × 4 = (- 3/2 ) − 10 × 4
Multiply
(-3/2) − 10 × 4 = (-3/2) − 40
Subtract
(-3/2 −) − 40 + -83/2
Simplify
-83/2 = -41 1/2
Theory of The Firm f(1₁,1₂)= Ar₁a₂-a Consider the Cobb-Douglas production function: 1. Derive the conditional input demands. 2. Derive the cost function. 3. Caculate the substitution matrix. Microeconomic Analysis
1. The conditional input demand for capital (1₂) is given as: 1₂ = (1 - a) / a * (Ar₁a₂-1 / r)
2. The cost function is given as: C(w, r, y) = w1₁ + r1₂,
3. The substitution matrix is: S = - [(1 - a) / a] * (r / w)
Cobb-Douglas production function: The Cobb-Douglas production function is a macroeconomic model that is used to describe how factors of production interact to create output.
It is given as:
f(1₁,1₂) = Ar₁a₂-a.
The input to the function includes labor and capital, which are represented by 1₁ and 1₂ respectively. A is a constant that reflects the state of technology, and a and (1 - a) are the elasticity of output with respect to labor and capital respectively.
The function is an example of a production function that is used to model the production process of an economy.
Conditional input demands: To derive the conditional input demands, we take the partial derivative of the production function with respect to each input. Deriving the conditional input demands with respect to labor (1₁) gives:
∂f/∂1₁ = Ar₁a₂-1
The conditional input demand for labor is the ratio of the marginal product of labor to the price of labor:
1₁ = (a / (1 - a)) * (Ar₁a₂-1 / w)
Similarly, the conditional input demand for capital (1₂) is given as:
1₂ = (1 - a) / a * (Ar₁a₂-1 / r)
Where w and r are the prices of labor and capital respectively.
Cost function: To derive the cost function, we multiply the price of each input by the quantity of the input used, and sum up the total.
The cost function is given as:
C(w, r, y) = w1₁ + r1₂,
where y is the level of output.
Substitution matrix: The substitution matrix is used to measure the degree of substitution between two inputs.
It is given as:
S = - (∂1 / ∂2) * (p2 / p1),
where p1 and p2 are the prices of the two inputs, and ∂1 / ∂2 is the cross-partial derivative of the production function with respect to the two inputs
. In this case, the substitution matrix is:
S = - (∂1 / ∂2) * (p2 / p1)
= - [(1 - a) / a] * (r / w)
The substitution matrix measures the degree of substitutability between capital and labor.
If the value of S is large, it implies that the two inputs are highly substitutable.
If the value of S is small, it implies that the two inputs are not very substitutable.
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4a^4 - 2b^2 + 40 when a=2 and b = 7
- 34
Step-by-step explanation:Hi !
4a⁴ - 2b² + 40 =
replace a = 2 ; b = 7
= 4ₓ2⁴ - 2ₓ7²
= 4ₓ16 - 2ₓ49
= 64 - 98
= - (98 - 64)
= - 34
Good luck !
Make x the subject of the formula
2tx-n³=4f
We need to isolate x.
2tx-n³= 4f
2tx = 4f + n^3
x = (4f + n^3)/(2t)
Done!
The value of x is x= 2f/t + n³/2t.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2tx-n³=4f
Now, solving for x
2tx=4f + n³
x= 1/2t (4f + n³)
x= 4f/2t + n³/2t
x= 2f/t + n³/2t
Hence, the value of x is x= 2f/t + n³/2t.
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What value of c will complete the square in the expression below to make it a perfect
square trinomial?
x² + 8x + c
Answer:
c = 16
Step-by-step explanation:
We have (a + b)² = a² + 2ab + b²
x² + 8x + c is of the form a² + 2ab + b²
where x² = a²
8x = 2ab
and c = b²
⇒ x² + 8x + c = (x + √c)² which is a perfect square
x² = a² ⇒ x = a
8x = 2ab
⇒ 8x = 2xb
⇒ b = 8x/(2x)
⇒ b = 4
c = b²
⇒ c = 4²
⇒ c = 16
(x + √c)² = (x + √16)²
= (x + 4)²
= x² + 2(x)(4) + 4²
= x² + 8x + 16
Therefore, c = 16 makes the expression a perfect square
what is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 51 rpm (revolutions per minute) if the wheel's diameter is 34 cm ?
The magnitude of the acceleration of the speck of clay on the edge of the potter's wheel is approximately 4.85 meters per second squared.
To find the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel, we need to determine the angular velocity of the wheel first.
The angular velocity (ω) can be calculated using the formula:
ω = 2πf
Where f is the frequency of rotation in revolutions per second. In this case, the frequency is 51 rpm, which can be converted to revolutions per second by dividing by 60:
f = 51 rpm / 60 = 0.85 revolutions per second
Now we can calculate the angular velocity:
ω = 2π * 0.85 = 5.36 radians per second
The linear velocity (v) of the speck of clay on the edge of the wheel can be calculated using the formula:
v = ωr
Where r is the radius of the wheel. Since the diameter is given as 34 cm, the radius is half of that:
r = 34 cm / 2 = 17 cm = 0.17 meters
Now we can calculate the linear velocity:
v = 5.36 radians per second * 0.17 meters = 0.91 meters per second
Finally, the magnitude of the acceleration (a) can be calculated using the formula:
a = v^2 / r
Plugging in the values:
a = (0.91 meters per second)^2 / 0.17 meters = 4.85 meters per second squared
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Which is the additive inverse of -a/3
Step-by-step explanation:
a is the additive inverse
if there is mistake then i am sorry.
X/5 + 9 = 5
Please add steps if possible
THANK YOUUU!!
Answer:
[tex]x=-20[/tex]
Step-by-step explanation:
We solve this by isolating the [tex]x[/tex] on one side, and the numbers on the other.
[tex]\frac{x}{5} +9=5[/tex]
[tex]\frac{x}{5} +9-9=5-9[/tex]
[tex]\frac{x}{5}=-4[/tex]
[tex]\frac{x}{5}*5=-4*5[/tex]
[tex]x = -20[/tex]
Answer:
[tex]\boxed {x = -20}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]\frac{x}{5} + 9 = 5[/tex]
-Multiply both sides by [tex]5[/tex]:
[tex]5 \times \frac{x}{5} + 9 = 5 \times 5[/tex]
[tex]x + 45 = 25[/tex]
-Subtract both sides by [tex]45[/tex]:
[tex]x + 45 - 45 = 25 - 45[/tex]
[tex]\boxed {x = -20}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-20[/tex].
Tavon has a gift card for $85 that loses $3.50 for each 30-day period it is not used. He has another gift card for $75 that loses $3 for each 30-day period it is not used. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal, the determine what the value of each card will be when they have equal value.
Answer:
Each card will have a value of $15 when they equal after 600 days which also is 20 30-day periods.
Step-by-step explanation:
Card1: [tex]85 - \frac{3.50}{30} x[/tex]
Card2: [tex]75 - \frac{3}{30} x[/tex]
x is number of days
[tex]85 - \frac{3.50}{30} x = 75 - \frac{3}{30} x[/tex]
2550 - 3.50x = 2250 - 3x
2550 - 0.50x = 2250
-0.50x = -300
x = 600 days
Card1: [tex]85 - \frac{3.50}{30} (600)[/tex]
85 - 70 = 15 dollars
Card2: [tex]75 - \frac{3}{30} (600)[/tex]
75 - 60 = 15 dollars
The value of each card will be when they have equal value is $15.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now, Let x be the number of time periods for which the gift card is not used, then
For the gift card $ 85 if it is not used for x periods, then the amount that will be lost is
85 - 3.50 x---------------------(1)
For the gift card $ 75 if it is not used for x periods, then the amount that will be lost is
75 - 3x---------------------- (2)
Now when both the amount lost is equal
85 - 3.50 x = 75 - 3x
solving the equation, we get
or, 3.50 x - 3x = 85 -75
or, 0.50 x = 10
or, x = 20
Thus the value of gift cards will be equal for 20 ,30 day periods.
Now,the value of each card be when they have equal value
The two cards will have equal value after 20, 30 day periods, this denotes that at this time, the value of each card will be equal.
Then
85 - 3.50 x = 75 - 3x
substituting x = 20, we get
85 - 3.50*20 = 75 - 3*20
85 - 70 = 75 - 60
15 = 15
So, when they have equal value, the value of each card will be $15.
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You may need to use the appropriate appendix table or technology to answer this question.
A population has a mean of 800 and a standard deviation of 200. Suppose a sample of size 400 is selected and
x
is used to estimate μ. (Round your answers to four decimal places.)
(a)____
What is the probability that the sample mean will be within ±5 of the population mean?
(b)___
What is the probability that the sample mean will be within ±10 of the population mean?
a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.
The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
= 200 / √400
= 200 / 20
= 10
To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:
For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.
For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.
We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.
(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).
The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).
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In what quadrant of the coordinate plane is the graph of the direct proportion located which is parallel to the graph, expressed by the formula:
Note: Please answer both questions in the same format (The direct proportion is ____. The graph is located on quadrants ___ and ___.).
The direct proportion is y = kx, where k is a constant. It is parallel to the graph of the direct proportion is located on the first and third quadrants of the coordinate plane.
Explanation:In the Cartesian plane, we can show the relationship between two variables by plotting their coordinates as points. We can divide the plane into four regions called quadrants, which are numbered I, II, III, and IV in a counter-clockwise fashion, with the positive x-axis being the initial ray.
The direct proportion is defined as a relationship between two variables in which the quotient of their values is constant. The equation of a direct proportion can be written as y = kx, where k is a constant of proportionality.
In a Cartesian plane, if we plot the points (0,0), (1,k), (2,2k), (3,3k),…, and so on for the direct proportion y = kx, we obtain a straight line that passes through the origin (0,0). If we plot this line on the plane, it is located in the first and third quadrants, as it passes through both these quadrants.
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someone please help!!!!!! 5−a+4a=
Answer: 3a+5
Step-by-step explanation:
use linear regression to estimate the weight, in ounces, of a bluegrill that has a length of 9.5 inches. Round your answer to the nearest tenth of an ounce
Length (in.) 7 8 9 10 11 12
Weight (oz) 4 7 11 21 26 32
Rounding to the nearest tenth of an ounce, the estimated weight of a bluegill that has a length of 9.5 inches is 96.2 ounces.
Here is how to use linear regression to estimate the weight of a bluegill that has a length of 9.5 inches:
We need to find a linear equation that can be used to predict the weight of a bluegill based on its length. To do this, we can plot the data points and draw a line of best fit through the data points to get the following scatter plot: bluegill scatter plot [image].
From the scatter plot, we can see that the data points roughly follow a straight line, so we can use linear regression to find the equation of that line. Linear regression is a statistical method used to fit a linear equation to a set of data points. We will use the equation y = mx + b where y is the response variable (the weight of the bluegill), x is the predictor variable (the length of the bluegill), m is the slope of the line, and b is the y-intercept of the line.
To use linear regression, we need to calculate the slope and y-intercept of the line: bluegill scatter plot with line of best fit [image]From the scatter plot, we can see that the line of best fit passes through the points (7,4) and (12,32), so we can use these two points to find the slope of the line:
slope = (y2 - y1) / (x2 - x1)slope = (32 - 4) / (12 - 7)
slope = 28 / 5
slope = 5.6.
Next, we can use one of the points and the slope to find the y-intercept of the line. We will use the point (7,4):y = mx + by = 5.6x + by = 5.6(7) + 4y = 39.2 + 4y = 43.2. Therefore, the equation of the line of best fit is: y = 5.6x + 43.2Now, we can use this equation to estimate the weight of a bluegill that has a length of 9.5 inches: y = 5.6x + 43.2y = 5.6(9.5) + 43.2y = 96.2
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