Answer:
The first graph displays a better line of best fit.
Step-by-step explanation:
The first graph seems to have a steeper and stronger positive linear relationship between the IQ scores and annual salary. Additionally, there are more data points clustered around the regression line than the second graph.
help me please
dont even need a full explanation
Find the number of square tiles required to tile a floor of dimensions 10m and 9m if the
side of the tile is 75cm. *
(1 Point)
140
150
0 160
Answer:
160 tiles
Step-by-step explanation:
1000cm×900cm=900000cm²
75cm×75cm=5625cm²
900000cm²÷5625cm²=160 tiles
Let
f(x)={x2+2xx+1if x≤−1if x>−1.
Evaluate the following:
1. f(−7) =
2. f(−1) =
3. f(0) =
The required solutions of the functions are given as follows,
1. f(−7) = 35
2. f(−1) = -1
3. f(0) = 1
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 .
for x = -7
f(x) = x² + 2x
f(-7) = (-7)² + 2(-7) = 35
2.
for x = -1
f(x) = x² + 2x
f(−1) = (-1)² + 2(-1) = -1
3.
For x = 0
f(x) = x + 1
f(0) = 0 + 1 = 1
Thus, the required solutions are given as follows,
1. f(−7) = 35
2. f(−1) = -1
3. f(0) = 1
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Walton Trophies makes and sells trophies it distributes to little league ballplayers. The company normally produces and sells between 11,000 and 17,000 trophies per year. The following cost data apply to various activity levels: Required Complete the preceding table by filling in the missing amounts for the levels of activity shown in the first row of the table. (Round "Cost per unit" answers to 2 decimal places.) Number of Trophies Total costs incurred 11,000 13,000 15,000 17,000 Fixed $ 64,000 Variable 42,000 Total costs $ 106,000 Cost per unit Fixed $ 5.82 Variable 3.82 Total cost per trophy $ 9.64
Firms must select a mix of inputs that minimizes the total cost of producing a given quantity of output in order to solve the cost minimization optimization problem.
The final dollar spent on any given input should produce the same marginal physical product at the optimal choice.
The fact that both variable costs and fixed costs are a component of the total costs is a similarity between the two. The manner in which they alter with production is the primary distinction. By definition, fixed costs are unaffected by production levels in the short term because they are "fixed."
A manufacturing facility's annual lease, for instance, is a fixed cost because it is the same regardless of how many units are produced. Variable costs, on the other hand, fluctuate with production levels. Take into account the manufacturing facility's costs for labor and materials; the more is created, the more work and material are expected to be utilized underway.
The variable cost per unit is assumed to remain constant in the above calculation. Because the total fixed costs never change, fixed costs per unit decrease with output quantity in contrast to variable costs. However, the same constant fixed cost is distributed across a larger and larger quantity of output as production increases; consequently, the fixed cost decreases per unit.
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Show how to divide 9 pieces of licorice among 4 people. Use a picture, words and/or numbers.
Answer:
ok so lets divide 9 by 4 so
9/4=2 1/4
so each person would get 2 licorise and a quarter of another
Hope This Helps!!!
The ratio of boys to girls in 6th grades is 5 to 4. If there are 90 boys, how many girls would there be?
when we say that an estimated regression coefficient is statistically significant, we mean that it is statistically different from 1. true or false
The statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is false.
When is the estimated regression coefficient statistically significant?When we say that an estimated regression coefficient is statistically significant, we mean that it is statistically different from zero, not from 1.
The reason for this is that the null hypothesis in a hypothesis test for a regression coefficient is typically that the true value of the coefficient is zero. Therefore, if we reject the null hypothesis and find that the estimated coefficient is statistically significant, we conclude that there is evidence to suggest that the coefficient is not equal to zero and therefore has a non-zero effect on the response variable.
In some cases, we may be interested in testing whether a regression coefficient is equal to a specific value, such as 1. However, this would be a different hypothesis test with a different null hypothesis, and the result of this test would not necessarily be related to whether the coefficient is statistically significant or not.
Therefore, the statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is not accurate.
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Given this recursive rule : a^n=a^n-1 +6 where your a^1 =-13 . Find the next 4 terms in this sequence. Show your work to plzzzzzz help idk this I’m terrible at math...thx
Answer:
I think its c But i may be wrong
Step-by-step explanation:
Kathy bought 2 4/9 pounds of cheese. She used 1 1/3 pounds of the cheese to make lunch for her family. How many pounds of cheese are left?
Answer:
1 1/9
Step-by-step explanation:
Hope it is correct Have a nicee dayy
The state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the
test is positive.) Experimentation has shown that the probability of a positive test is 0.79, given that a person has
tuberculosis. The probability is 0.08 that the test registers positive, given that the person does not have tuberculosis.
Assume that in the general population, the probability that a person has tuberkulosis is 0.05. What is the probability that a
person chosen at random will fall in the following categories. (Enter your answers to four decimal places.)
(a) have tuberculosis and have a positive test
(b) not have tuberculosis
(c) not have tuberculosis and have a positive test
The probability according to the given scenario is:
(a) 0.0395
(b) 0.95
(c) 0.076
The given values are:
\(P(B/A) = 0.79\)\(P(A) = 0.05\)(a)
The probability that the b/w has tuberculosis as well as having (+) test will be:
→ \(P(A \cap B) = P(B/A).P(A)\)
By substituting the values, we get
→ \(= 0.79\times 0.05\)
→ \(= 0.0395\)
(b)
The probability that a person does not have tuberculosis will be:
→ \(P(A') = 1-P(A)\)
→ \(=1-0.05\)
→ \(= 0.95\)
(c)
The person does not have tuberculosis as well as have a (+) test, the probability will be:
→ \(P(A' \cap B) = P(A').P(B/A')\)
→ \(= 0.95\times 0.08\)
→ \(= 0.076\)
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I want you to find the answer
The value of length BC is 18.9
What is cosine rule?Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Therefore,
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
Therefore, the length of BC is 18.9
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In the triangle, the value of the side BC is 18.9cm to 1 decimal place
How to determine BC?The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The cosine formula states that
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
In conclusion, the value of the length of BC is 18.9cm
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ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
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Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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y is directly proportional to t. y = 20 when t=4 t is inversely proportional to the square of x. t = 8 when x = 2 Find a formula for y in terms of x. Give your answer in its simplest form.
The formula for y in terms of x is y=160/x^2.
We are given that;
y = 20 when t=4
And t = 8 when x = 2
Now,
To find the value of k by using the fact that y = 20 when t = 4:
20=k⋅4
k=5
Also, y=5t
Next, we use the fact that t is inversely proportional to the square of x. We can write:
t=x2k
where k is a constant of proportionality. We can find the value of k by using the fact that t = 8 when x = 2:
8=22k
k=32
Now we know that:
t=x232
Substituting this into the equation for y:
y=5t=5⋅x232=160/x^2
Therefore, by proportions the answer will be y=160/x^2.
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Is (-1, -3) a solution to this system of equations?
16x - 7y = 5
x = -1
yes
no
Answer:
Yes, it is
Step-by-step explanation:
Write true or false for the given statement.
The set of all even integers less than 10 is the same as (0, 2, 4, 6, 8).
The statement is true or false?
Reason:
Negative even integers aren't mentioned, but they are less than 10.
For example, something like -14 is less than 10 and is even.
If the question said "the set of all positive even integers less than 10" then {0,2,4,6,8} would be the correct full solution set, and the statement would be true.
A fence is being built around a rectangular garden. The length of the garden is 50 feet, and the total fencing used to enclose the garden measures 250 feet. Determine the equation to find the width, w, of the garden, in feet.
Answer:
100+2w = 250
w = 75
Explanation:
Let us sketch a rectangle with the measurements given
the perimeter we see is
\(w+w+50+50\)\(=2w+100\)We are told that the perimeter is 250; therefore,
\(2w+100=250\)Subtracting 100 from both sides gives
\(2w=150\)Finally, dividing both sides by 2 gives
\(w=\frac{150}{2}\)\(w=75\)which is our answer!
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length \(=\dfrac{\theta}{360^\circ}X2\pi r\)
\(=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)\)
(b)Area of the sector
Area of the sector \(=\dfrac{\theta}{360^\circ}X\pi r^2\)
\(=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)\)
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Twelve out of 72 passengers are tourists. Give the ratio of tourists to passengers.
Number of total passengers = 72
Number of tourists = 12
Ratio = ?
Ratio of tourists to passengers = 12:72 = 1:6
_________
Hope it helps!
RainbowSalt2222 ☔
Consider two lines. Line A is given by the function f(x) = 4x - 9, while Line B contains the points (0,5) and (2.12).
Which statement is true?
A) Line A and Line B have the same slope.
B) Line A has a greater slope than Line B C)Line B has a greater slope than Line A.
D) Line A slope is less than the slope of Line B.
Answer:
line D
Step-by-step explanation:
ooo
Answer: B
Step-by-step explanation:
Simplify p^-8/7^-2q^-9
Answer:
\(\frac{7^2}{p^8 \cdot q^9}\)
Step-by-step explanation:
\(\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}\) by the definition of negative exponents: \(a^{-b} = \frac{1}{a^b}\) for all \(a,b\) so long as \(a\ne 0\).
The value of the exponential equation is A = 7²q⁹ / p⁸
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = p⁻⁸ / 7⁻² ( q ) ⁻⁹ be equation (1)
On simplifying the equation , we get
A = 7² ( q ) ⁹ / p⁸
Therefore , the value of A is 7²q⁹ / p⁸
Hence , the exponential equation is A = 7²q⁹ / p⁸
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in the graph, y represents the money collected from the sale of adult tickets, and x represents the number of adult tickets sold. which equation describes the proportional relationship between the amount of money collected and the number of adult tickets sold?
On solving the question we got to know that - Answer: For every ticket sold, 52$ is made, 1 : 52
What is a graph?A diagram or graphical representation that organizes the depiction of data or values is known as a graph. The relationships between two or more items are frequently represented by the points on a graph.
What is the structure of a graph?A graph is a type of non-linear data structure that consists of nodes and links. While the vertices are often sometimes referred to as nodes, in a graph the edges are the lines or arcs that connect any two nodes. The vertices (V) and edges (E) that make up a graph are what constitute it most rigorously ( E ). The prefix "G" appears in the graph (E, V).
y = mx - rise/run = 208/4, m = 52
The proportion is that for every ticket sold, 52 $ is made, 1 : 52
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x
Practice Session - Volume - Study Island
B Brainly.com - For
Volume
3
The prism below is made of cubes which measure Ž of a centimeter on one side. What is the volume?
Note: Figure is not drawn to scale.
Answer:
The Volume Is 1 3/6
Step-by-step explanation
How know took the test got A 100 PLZ MAKE BRAINLIEST!!
what is life?bhkbkbkjnmmkjopjlknm nbgvuyihjknm
Answer:
yessss
Step-by-step explanation:
yessssssss
The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.
For their group project, Mia and Ichiro researched
hybrid cars that combine gas and an electric motor.
“Awesome, so it consumes less fuel and emits less
CO2 into the environment,” Ichiro said.
“While hybrid cars are better for the environment,
I’m seeing that some people are hesitant to buy one
because of the higher purchase price,” Mia noted.
They found the graph to the right, which shows the
miles per gallon (MPG) and the annual tons of GHG
produced by 8 different types of cars. If each gallon
of gasoline burned created 20 pounds of GHG, and
the price of gasoline was $2.454 per gallon, how
much money was saved annually on gas by the car
that got 40 miles per gallon when compared to the
car that got 20 miles per gallon? Provide your answer
to the hundredths place. Note: 1 ton = 2,000 pounds. This is from Pg.2 -7th Grade math problem.
Hybrid cars have lower operational cost and reduce Green House Gases
GHG when journeys are made on a frequent basis.
The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.Reasons:
The given parameters are;
The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds
The price per gallon of gasoline = $2.454Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.
Amount of GHG produced per year by cars A = 4.4 tons
4.4 US tons = 8,800 lbs
Amount of GHG produced per year by cars A = 8.8 tons
8.8 US tons = 17,600 lbs
\(\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}\)
Cost of gasoline consumed per year by car A per year is therefore;
\(Cost_A\) = 440 gallons × $2.454 = $1,079.76
\(\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons\)
Cost of gasoline consumed per year by car B per year is therefore;
\(Cost_B\) = 880 gallons × $2.454 = $2,159.52
The amount saved annually by car A compared to car B is therefore;
Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76
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Allyson is taking a class in which the grade is determined by the mean (average) of four tests. She has the following test scores so far in the course: 68, 87, and 90 and asks you to help her figure out what her last test score must be to get an 85 in the class. She tells you that a particular formula is used to figure the final grade of each student in the class. Let the variable "x" equal the last test score.
a) Write the formula needed to solve this problem.
b) Substitute the values and the variable into the formula.
c) Solve for the test score needed to get an overall grade of 85% in the class.
Answer:
95Step-by-step explanation:
Test scores:
68, 87, 90 and xAverage:
(68+87+90+x)/4 = 85245 + x = 4*85245 + x = 340x = 340 -245x = 95Required score is 95
Find the volume of the sphare.
The volume of the sphere is,
⇒ The volume of sphere = 14,130 cm³
What is Multiplication?The multiplication means to add a number to itself with a particular number of times. And, Multiplication can be viewed as a process of repeated addition.
Given that;
Radius of sphere = 15 cm
Now, We know that;
⇒ The volume of sphere = 4/3πr³
Substitute value of Radius = 15 cm
⇒ The volume of sphere = 4/3 × 3.14 × 15³
⇒ The volume of sphere = 14,130 cm³
Thus, The volume of the sphere is,
⇒ The volume of sphere = 14,130 cm³
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Item 13
Write an explicit rule for the recursive rule.
$a_1=16,a_n=0.5a_{n-1}$
Answer:
Step-by-step explanation:
\(a_{1}=16\)
\(r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}\)
In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.
Answer:
y = 7x - 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 7
y-intercept b = -8
Step 2: Write Function
Substitute in parts.
y = 7x - 8
Which expression is equivalent to the algebraic expression 8k5∙9k−2(6k2)2, where there are no variables in the denominator?
2k−181
2k81
2k−1
2k
The expression is equivalent to the 360\(k^2\) - 48k
Given the Expression :
8k5∙9k−2(6k2)2
It means
(8k × 5) × 9k - 2(6k × 2) × 2
Now, Multiply the monomials
360\(k^2\) - 2(6k × 2) × 2
Again, Multiply the monomials,
= 360\(k^2\) - 48k
Hence, The expression is equivalent to the 360\(k^2\) - 48k
What is Monomial ?
A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with an single term but can have multiple variable and a higher degree too.
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