Question 3 (Essay Worth 10 points) (05.07 MC) The scatter plot shows the number of strawberries that have been picked on the farm during the month of February: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Strawberries and the x axis is labeled Days in February Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points) Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm. (5 points)
Answers
It's not an accurate value for the data based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means practically no correlation, while the points on the graph are moderately correlated
How to illustrate the information?1. Part A:
Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.
The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to 1.
Here, r = - 1 is a perfect negative correlation as the points will adjust perfectly to a line with negative slope.
r = + 1 is a perfect positive correlation: the points will ajdust perfectly to a line with positive slope.
r = 0 means that the variables are not correlated at all.
Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.
Therefore, the calculated value of r = 0.01 is not accurate for this scatter plot.
2. Part B.
A causal relationship means that the explanatory variable (the independent variable) is the cause of the dependent variable.
Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.
Thus, the scenario could be:
Amout of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.
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Related Questions
Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
What does point T represent in this context?
Answer:
A number of books and their costs where the subscription with the annual fee costs less
Answers
The first subscription option is given by T = 92 while the second subscription option is given as T = 3x. Where T represent the cost of borrowing x number of books.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let T represent the cost of borrowing x number of books.
For the first subscription option:
T = 92
For the second subscription option:
T = 3x
The first subscription option is given by T = 92 while the second subscription option is given as T = 3x. Where T represent the cost of borrowing x number of books.
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Solve each inequality Exercises 65-70 and graph the solution set on a real number line.
Answers
Answer:
Where are the exercizes.
Find the lengh of AB
Answers
81+25 = 106
root106 = 10.3
your answer is 10.3
What is the value of h(2)?
-2
-1
0
3
Answers
Answer:
0
Step-by-step explanation:
all the question is asking is
if x is 2 then what is y
the line on the left is downward facing line which ends at
(2,0) <- where is x is 2 and y is 0
the upward facing line on the right does start at (2,3)
but the dot there is a
hollow dot
hollow dot represents excluded value
Joe piad $5 for a burger. He has more than $25 left. How much money did he have before buying the burger?
Answers
Answer:
More than 30 dollars
Step-by-step explanation:
This situation can be described with the inequality:
x - 5 > 25
1. Add 5 to both sides
2. X > 30
Which steps would prove the circles similar?
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
Answers
The steps needed is :Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
What is dilation?Dilation is a transformation, which is used to resize the object.
As the radius of big circle is 6 then the dilation should be scale factor 3.
As well as they should share the same center.
The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
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Simplify the expression 3-8 × 34.
Answers
Answer:
3-8x 34= -5x 34 = -170
Step-by-step explanation:
3-8= 5
5*34=170
Item cost $430 sales tax was $8.60 what is the percentage of the sales tax rate
Answers
Answer:
2%
Step-by-step explanation:
You can write it out as equation first.
430*x%=8.60, leave x% alone, so the equation will change into
x%=8.60/430
8.60/430=0.02=2%
therefore, x%=2%
11
24
1
4
I’m very lost with this one can anyone answer this for me please
Answers
Answer:
So let start with 1/4 simplest form of that would be 9/4 and for 11/24 simplest would be just that so now we got 11/24 - 9/4 = 1/72
Step-by-step explanation:
11/24
4/9
now we do 11 x 9 equals 99 so now 4 x 24 = 96
now we take the two new denominators2 24 and 9
and we do 24 x 9 = 216 so now we got
99/216
96/216
now 99 - 96 is 3 so we got a new fraction
3/216 now we just simplify that so we get 1/72
Look at the figure. How many different labeled rays are shown?
A.)2
B.)10
C.)20
D.)8
Answers
The rays are
AB, BC, CD, DE
AC, BD, CE
AD, BE
AE
Write the logarithmic expression as a single logarithm.
Answers
Answer:
[tex]\log_48[/tex]
Step-by-step explanation:
[tex]\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48[/tex]
11. Name a pair of complementary angles in this figure.
angles DEF and DEH
angles DEH and HEJ
angles DEH and DEK
angles DEH and DEJ
Answers
Answer:
DEH & DEJ
Step-by-step explanation:
It a acute and angle so it equal complementary
A system of inequalities is shown.
The graph shows a dashed upward opening parabola with a vertex at negative 2 comma negative 6, with shading inside the parabola. It also shows a dashed line passing through the points negative 3 comma negative 5 and 0 comma 4, with shading below the line.
Which system is represented in the graph?
Answers
The required system hence becomes
3x-y+4>0,
y + 6 > (x + 2)²
When the symbols “>”, “<”, “≥”, “≤”, are used to connect two real numbers or algebraic expressions, that relationship is known as an inequality.
The Graph is given below of the given problem statement.
Observe that the parabola y=x² has vertex at (0,0) we can shift the vertex to (-2,-6) to get the parabola
y + 6 = (x + 2)²
And the inequality is
y + 6 > (x + 2)²
Hence, this parabola is as required by the problem.
And the line passing through (-3,-5) and (0,4) is
[tex]\frac{\left(y-4\right)}{\left(-5-4\right)}=\frac{\left(x\right)}{-3}[/tex]
The required inequality hence becomes
3x-y+4>0
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what is the answer to
√a³-7 + -4
Answers
Answer:
√a^3−7-4
Step-by-step explanation:
Replace all occurrences of + − with a single −. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅ −1= −1
Please solve this question
Answers
Using the Poisson distribution, the probabilities are given as follows:
[tex]P(X = 0) = e^{-10.6}[/tex][tex]P(X \geq 1) = 1 - e^{-10.6}[/tex][tex]P(X \leq 2) = 67.78e^{-10.6}[/tex]What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.The mean is given as follows:
[tex]\mu = 10.6[/tex]
Hence the probability of no dandelions in an area of 1 m² is P(X = 0), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-10.6}(10.6)^{0}}{(0)!} = e^{-10.6}[/tex]
The probability of at least one dandelion is:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - e^{-10.6}[/tex]
The probability of at most two dandelions is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-10.6}(10.6)^{0}}{(0)!} = e^{-10.6}[/tex]
[tex]P(X = 1) = \frac{e^{-10.6}(10.6)^{1}}{(1)!} = 10.6e^{-10.6}[/tex]
[tex]P(X = 2) = \frac{e^{-10.6}(10.6)^{2}}{(2)!} = 56.18e^{-10.6}[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = e^{-10.6} + 10.6e^{-10.6} + 56.18e^{-10.6} = 67.78e^{-10.6}[/tex]
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Which relation below represents a one-to-one function?
A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197.
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5.
A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11.
Answers
The relation that represents a one-to-one function is
A. x with entries 5, 14, 7, 13, 12.
f(x) with entries 26, 197, 50, 170, 197.
Option A is the correct answer.
We have,
A one-to-one function is a function that has one output for one input.
Now,
A.
x with entries 5, 14, 7, 13, 12.
f x) with entries 26, 197, 50, 170, 197.
This is a one-to-one function.
B.
x with entries -2, -1, 0, 1, 2.
f(x) with entries 5, 2, 1, 2, 5.
This is not a one-to-one function.
The x values -1 and 1 have the same f(x) value 2.
C.
x with entries 7.25, 7.5, 7.75, 8, 8.5.
f(x) with entries 11, 13, 15, 13, 11.
This is not a one-to-one function.
The x values 7.25 and 8.5 have the same f(x) value 11.
Thus,
The relation that represents a one-to-one function is
A. x with entries 5, 14, 7, 13, 12.
f(x) with entries 26, 197, 50, 170, 197.
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Eight more than seven times a number is equal to four more than five times the number. What is the number?
Answers
Answer: -2
Step-by-step explanation:
convert it to a equation:
7x+8=5x+4
move x's to a side and numbers to the other
2x=-4
divide by 2
x=-2
Let us consider the number to be 'n'.
Given condition :
7n + 8 = 5n + 4Subtract '5n' from each side :
7n + 8 - 5n = 5n + 4 - 5n2n + 8 = 4Subtract '8' from each side :
2n + 8 - 8 = 4 - 82n = -4Divide '2' from each side :
2n/2 = -4/2[tex]\fbox {n = -2}[/tex]∴ The number is -2.
What is the inverse of function f?
F(x) =3-x/7
Answers
Answer:
the answer is (D) F-1 (X) = 7x - 3
Step-by-step explanation:
You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair.
How many legs are on the ground?
Answers
Answer:
28
Step-by-step explanation:
1 dog = 4 legs, 2 dogs = 8 legs
1 horse = 4 legs, 4 horses = 16 legs
1 giraffe = 4 legs.
So we need to add "2 dogs = 8 legs", "4 horses = 16 legs", and 1 giraffe = 4 legs.
(8 + 16 + 4)
We get the final answer: 28
2 which are yours.
The animals are either lying on a bed or flying.
Step-by-step explanation:
Property taxes are based on the value of the property
Answers
Based on the calculations, the average selling price for these properties is equal to $127,865.
How to determine the average selling price?Mathematically, the average selling price for these properties would be calculated by using the following formula:
Average price = [F(x)]/n
Note: The total number of properties is equal to 5.
Substituting the given parameters into the formula, we have;
Average price = [118,450 + 126,500 + 128,000 + 130,425 + 135,950]/5
Average price = 639,325/5
Average price = $127,865.
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Complete Question:
Property taxes are based on the value of the property. city officials use the average selling price of similar properties to estimate the value. the selling prices of similar properties are listed below. $118,450 $126,500 $128,000 $130,425 $135,950. What is the average selling price?
evaluate the expression when a= -7 and b=4 for 3b-a
Answers
Step-by-step explanation:
By putting value of a and b in 3b-a
The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 3b - a
Plug a = -7 and b = 4
= 3(4) - (-7)
= 12+7
= 19
Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.
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When using three letters to name an angle, the middle letter represents the ____.
Answers
Answer:
Vertex
Step-by-step explanation:
Vertex is the 'point' of an angle
Which point corresponds to the real zero of the graph of y = log2 (x + 2) - 1?
Answers
Answer:
(0, 0)
Step-by-step explanation:
Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x
[tex]0 = log_2{(x+2)}-1[/tex]
Add 1 to both sides
[tex]1 = log_2{x+2}[/tex]
Rewrite the equation in exponential form:
[tex]2^1=x+2[/tex]
Subtract 2 from both sides
[tex]0 = x[/tex]
So the zero of the function is at the origin (0, 0)
Factorize this equation:
6=x^2-x
Answers
The factored form of the given expression is (x+2)(x-3)
Factorizing equationQuadratic equation are equation that has a leading degree of 2. Given the equation below
6=x^2-x
Equate to zero
x^2-x - 6 = 0
Factorize
x^2 - 3x + 2x - 6 = 0
x(x-3)+2(x-3) = 0
x = 3 and -2
Hence the factored form of the given expression is (x+2)(x-3)
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Write the equation of the line with a slope of 2/3 and y-intercept of 1. Write your answer in slope-intercept form
Answers
B = y - mx = 1 - (2/3)(0) = 1
y = (2/3)x + 1
Because in slope intercept form y=mx+b: 2/3 is m and 1 is b in the formula.
You are buying a used car which costs $10,200. You plan to sell the car after keeping it for 5 years. Research shows that this car will lose value at a rate of 8% per year. How much will the car be worth after 5 years?
Answers
Answer:
$6,722.63
Step-by-step explanation:
Now: $10,200
In 1 year: 0.92 × $10,200 = $9,384
In 2 years: 0.92 × $9,384 = $8,633.28
In 3 years: 0.92 × $8,633.28 = $7,942.6176
In 4 years: 0.92 × $7,942.6176 = $7,307.208192
In 5 years: 0.92 × $7,307.208192 = $6,722.63
Answer: $6,722.63
Answer:
$6,722.63
Step-by-step explanation:
Using this formula A=P(1-d/100)^n where
A = Amount
P = Principal
d = percent
n = number of year
A=P(1-d/100)^n
A = 10,200(1-8/100)⁵
A = 10,200(1-0.08)⁵
A = 10,200(0.92)⁵
A = 10,200(0.6591)
A= $6,722.63
Cost of a computer game: $32.00
Markup: 20%
Answers
Answer:
38.4
Step-by-step explanation:
32×%20=6.4
32+6.4=38.4 new price
A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?
144
230.4
9
0.06
Answers
A ratio shows us the number of times a number contains another number. The correct option is A.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of fertilizer to soil is,
Fertilizer/Soil = 12 ounces / 10 pounds
The amount of fertilizer that the farmer need to mix for 120 pounds of soil is,
Fertilizer/120 pounds = 12 ounces / 10 pounds
Fertilizer = (12 ounces × 120 pounds)/10pounds
Fertilizer = 144 ounces
Hence, the correct option is A.
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what is the value of the expression below when x= 2? for y²-2y+10
Answers
Answer:
I think its y = 2.
Then, your answer will be 10.
Step-by-step explanation:
y²- 2y + 10
=2² - 2.2 + 10
=4 - 4 + 10
=10 ans.
Hope its helpful!
Answer:
If y = 2.
Your answer is 10.
Step-by-step explanation:
y²- 2y + 10
=2² - 2.2 + 10
=4 - 4 + 10
=10 ans.
Hope its helpful!
Find the value of b.
Answers
Answer: [tex]230^{\circ[/tex]
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] are tangents to the circle.
[tex]\overline{BO} \cong \overline{BO}[/tex] (reflexive property)[tex]\overline{AB} \cong \overline{BC}[/tex] (tangents drawn from a common external point are congruent)[tex]\angle BAO \cong \angle BCO[/tex] (right angles are congruent)Therefore, we know [tex]\triangle ABO \cong \triangle CBO[/tex] by HL.
Thus, by CPCTC,
[tex]\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}[/tex]
This means the measure of minor arc AC is [tex]130^{\circ}[/tex], and thus [tex]b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}[/tex]