There are 97 people who ate pizza last Friday night.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have
184 = watched TV
183 = hung out with friends
37 = watched TV and ate pizza, but did not hang out with friends
31 = watched TV and hung out with friends, but did not eat pizza
40 = hung out with friends and ate pizza, but did not watch TV
29 = watched TV, hung out with friends, and ate pizza
74 = he did not do any of these three activities
We need to find out the number of people eating pizza by deducting the number of people not eating pizza from the total number.
So the people not eating pizza are listed as A, B, D, G
Total = 549
Those who only ate pizza= total - (A+B+D+G)
= 549- (184+183+37+31)
= 549- 415= 97
There are 97 people who ate pizza, last Friday night.
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Suppose we know lim f(x) = 2. Which of the following statements must be true? To Check all that are true. DA. f(x) has a vertical asymptote at * = 2 B. lim f(x) = 2 C. lim f(x) = -2 D. f(x) has a horizontal asymptote at y = 2 E. f(x) is continuous at I = QO F. f(x) is never equal to 2 G. As x gets very large, f(2) gets close to 2 2 -00
The limit of f(x) is 2, which means that as x approaches infinity, f(x) approaches 2. This implies that f(x) has a vertical asymptote at x = 2, but does not have a horizontal asymptote at y = 2, and is never equal to 2.
The limit of a function is the value that the function approaches as the argument approaches infinity. In the case of f(x), the limit is 2. This means that as x gets larger and larger, the value of f(x) gets closer and closer to 2. This implies that f(x) has a vertical asymptote at x = 2, meaning that the function approaches this value, but never reaches it. It does not have a horizontal asymptote at y = 2, meaning that the function does not approach this value as x gets larger. Additionally, the limit of f(x) is not -2, meaning that the function does not approach this value as x gets larger. Lastly, f(x) is continuous at x = 0, meaning that there is no discontinuity at this point in the graph.
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Decide whether the problem can be solved using precalculus or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning and use a graphical or numerical approach to estimate the solution. -Find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet per second.
The object traveled 300 ft in 15 seconds.
The problem can be solved using precalculus. The distance traveled in 15 seconds can be calculated using the formula d = rt, where d is the distance traveled, r is the rate of speed, and t is the time. In this case, d = 20 ft/sec * 15 sec = 300 ft. Therefore, the object traveled 300 ft in 15 seconds. To calculate this using a graphical approach, we can plot the points (0,0) and (15,300) on a graph. The slope of the line connecting the two points is 20 ft/sec, which is the rate of speed of the object. This confirms that the object traveled 300 ft in 15 seconds.
The object traveled 300 ft in 15 seconds.
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I need this whole paper. Thank you to whoever can get me these answers by 8:20 am 2/3/23
Answer:
The 1. is sufficiently tangent
The 2. is not tangent
Step-by-step explanation:
Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
y> -x-5
y< 2x-8
The solution is: (x,y)= (-1, -6), the graph is given below.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
y> -x-5
y< 2x-8
Solve graphically
See attachment for graph;
Next, determine the intersection points between the two lines
From the attached graph, we have:
(x,y)= (-1, -6)
Hence, the solution is: (x,y)= (-1, -6).
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Which value of x satisfies the equation 3√x - 2 + 7 = 19?
A. 2
OB. 4
O C. 12
OD. 16
OE. 18
The value of x from the equation is 18. Option E
How to determine the value
It is important to note that algebraic expressions are expressions with variables, terms, coefficients, constants and factors.
They are also made up of operations, such as addition, multiplication, division, subtraction, floor division, parentheses, bracket.
From the information given, we have that;
3√x - 2 + 7 = 19
Take the following steps
collect like terms
3√x-2 = 19 - 7
add the like terms
3√x -2 = 12
Divide both sides by 3
√x - 2 = 4
Find the square of both sides
x - 2 = 16
x = 18
Hence, the value is 18
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Devin thinks that the expression 2c + 20 represents the total number of pens and pencils. What mistake did Devin likely make? Explain.
The mistake that Devin made is that he didn't take into account the fact that Mr. Gerard liked 20 more pencils than pens.
How to solve Algebra Word Problems?He likes to have 20 more pencils than pens. This means that if c be the number of pencils he has, then;
Number of pens = c - 20
Number of pencils = c
Thus, the expression that gives the number of pens and pencils Mr. Gerard has in his class is;
c + c - 20 = 2c - 20
Thus, the mistake that Devin made is that he didn't take into account the fact that Mr. Gerard liked 20 more pencils than pens.
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Complete question is;
Mr. Gerard always likes to have more pencils than pens to lend to students since they tend to prefer writing in pencil. He likes to have 20 more pencils than pens.
Write an expression that gives the number of pens and pencils Mr. Gerard has in his class. Let c be the number of pencils he has.
Devin thinks that the expression 2c + 20 represents the total number of pens and pencils. What mistake did Devin likely make? Explain.
Please Solve the Initial value
The solution to the initial value problem is:
y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1
How did we get the value?The solution to the initial value problem is given by:
y(x) = √{16}/{8x-1}} + 3e^{-2x} + C
Where C is the constant of integration. To find C, we can use the initial condition y(0) = 2√{2}:
y(0) = √{16}/{8(0)-1}} + 3e^{-2(0)} + C = 2√{2}
Solving for C:
C = 2√{2} - √{16}/{-1}} - 3 = 2√{2} + √{16} - 3 = 2√{2} + 4 - 3 = 2√{2} + 1
So the solution to the initial value problem is:
y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1
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Suppose that the terminal point determined by t is the point (-3/5,4/5) on the unit circle. Find the the terminal point (x,y) determined by -t, t+4pi, t-pi, t+pi, pi-t
The terminal point determined by t on the unit circle is given by (cos(t), sin(t)).
The terminal point determined by -t:
The point determined by -t is given by (cos(-t), sin(-t)). By the identity sin(-t) = -sin(t), and cos(-t) = cos(t), the terminal point determined by -t is (cos(t), -sin(t)).
The terminal point determined by t + 4π:
The point determined by t + 4π is given by (cos(t + 4π), sin(t + 4π)). By the identity sin(t + 2π) = sin(t) and cos(t + 2π) = cos(t), the terminal point determined by t + 4π is (cos(t), sin(t)).
The terminal point determined by t - π:
The point determined by t - π is given by (cos(t - π), sin(t - π)). By the identity sin(t - π) = -sin(t) and cos(t - π) = -cos(t), the terminal point determined by t - π is (-cos(t), -sin(t)).
The terminal point determined by t + π:
The point determined by t + π is given by (cos(t + π), sin(t + π)). By the identity sin(t + π) = -sin(t) and cos(t + π) = -cos(t), the terminal point determined by t + π is (-cos(t), sin(t)).
The terminal point determined by π - t:
The point determined by π - t is given by (cos(π - t), sin(π - t)). By the identity sin(π - t) = sin(t) and cos(π - t) = -cos(t), the terminal point determined by π - t is (-cos(t), sin(t)).
If the terminal point determined by t is (-3/5, 4/5), then:
The terminal point determined by -t is (3/5, -4/5).
The terminal point determined by t + 4π is (-3/5, 4/5).
The terminal point determined by t - π is (3/5, -4/5).
The terminal point determined by t + π is (3/5, -4/5).
The terminal point determined by π - t is (3/5, -4/5).
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need a math genius...
Answer:
Second option:
[tex]\boxed{ \$6,671.67}[/tex]
Step-by-step explanation:
The equation for the amount accrued at 5.4% interest compounded semi-annually(twice a year) for an initial investment P for t years is already given:
[tex]A = P\left(1 + \dfrac{0.054}{2}\right)^{2t}[/tex]
Plug in
P = $3000
t = 15 years
[tex]A = 3000\left(1 + 0.054\right)^{2\cdot 15}\\\\A = 3000(1 + 0.027)^{30}\\\\A = 3000(1.027)^{30}\\\\A = 3000 (2.22389)\\\\A = \$6,671.67[/tex]
This is the second option
the drag on a 30 ft long vertical 1.25 ft diameter pole subjected to a 30 mph wind is to be determined with a model study it is expected that the drag is a function of the opole length and diameter
Based on the provide data, the predicted drag on the full-sized pole is 52.53 lb.
We have a graph between model velocity and model drag. Also we have two set of dimensions and we have to predict drag on the full-sized pole. Write the details as shown : Since, the working temperature is not given, assume T= 60°F. For model :
Length Lₘ = 2 ft
Diameter, dₘ = 1 in = 1/12 ft.
Velocity = Vₘ
Density in water, ρₘ =1.94 slugs/ft³
Dynamic Viscosity, μₘ= 2.373×10⁻⁵ lb-s/ft² ( water)
For prototype :
Length, Lₚ = 30 ft
Diameter, dₚ = 1.25 ft.
Velocity, Vₚ = 30 mph = 30 × 1.467 ft/s
= 44 ft/s
Density in air, ρₐ = 2.34×10⁻⁵ slugs/ft³
Dynamic Viscosity, μₐ= 3.75×10⁻⁶ lb-s/ft²
Determine the velocity of air using Reynolds number similarity as below :
ρₘ Vₘdₘ/μₘ = ρₐ Vₚ dₚ/ μₐ
=> Vₘ = (ρₐ/ρₘ)(dₚ/dₘ)(μₘ/μₐ)Vₚ
=> Vₘ = ( 2.34×10⁻⁵ /1.94)(1.25 /1/12 )(2.373×10⁻⁵/3.75×10⁻⁷ )44
Vₘ = 50.37 ft/s
From the graph, the value of drag corresponding to Vₘ = 50.37 ft/s is 253.7 lb. Determine the drag on the full-sized pole: Fₚ/dₚ² Vp²ρₐ = Fₘ(Vₘ²dₘ²ρₘ)
=> Fₚ = Fₘ( dₚ/dₘ)²(Vₚ/Vₘ)²(ρₐ/ρₘ)
=> Fₚ = 253.7 lb ( 1.25 ft/1/12ft )²( 44 ft/s/50.37 ft/s)²( 2.34×10⁻⁵slugs/ft³/1.94 slugs/ft³)
=> Fₚ = 52.53 lb
Hence, required full-sized pole is 52.53 lb.
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Complete question:
The drag on a 30-ft long, vertical, 1.25-ft diameter pole subjected to a 30 mph air wind is to be determined with a model study. It is expected that the drag is a function of the pole length and diameter, the fluid density and viscosity. Laboratory model tests were performed in a high-speed water tunnel using a model pole having a length of 2 ft and a diameter of 1 in. Some model drag data are shown in the figure. Based on these data, predict the drag on the full-sized pole. 350 300 250 200 150 100 50 10 30 40 50 60 Model velocity, f's.
100 points!!!
Using the image, answer these questions.
1: If m angle Q = 94 degrees, m angle R = 42 degrees, m angle T = 71 degrees, and m angle s = 153 degrees, find m angle W and m angle P
2: What is the scale factor from PQRS to TUVW?
Select the correct response:
7/5
4/7
7/4
5/7
3: Find x
The sum of the measures of the angles in a triangle is 180 degrees, so we have the equation:
m angle Q + m angle R + m angle T = 180
94 + 42 + 71 = 207
The sum of the measures of the angles in the triangle is greater than 180 degrees, so this is not a valid triangle.
Without further information, it is not possible to determine the scale factor from PQRS to TUVW. A scale factor refers to the ratio of corresponding side lengths between two similar figures. In order to find the scale factor, you would need to know the lengths of corresponding sides in the two figures.
can't find x rn
what is 2x+6y=3 in slope intercept form
Answer:
y=-1/3x+1/2
Step-by-step explanation:
2x+6y=3
bring 2x to the other side by subtracting : 6y=-2x+3
divide by 6 : y=-1/3x+1/2
Answer:
y = -1/3x + .5
Step-by-step explanation:
First we are going to get y on a side by itself
6y = 3 - 2x
Then we divide by six to get our equation
y= .5 - 1/3x
In slope intercept form
y = -1/3x + .5
HELP PLEASE I DONT UNDERSTAND!!!!!!!! McLaughlin High School is selling 1,000 tickets for $10 each to raise funds for its arts programs. One ticket will be drawn, and the person who bought it will win a $1,000 prize. What do think of such a system for raising funds? Would you buy a ticket? Why or why not?
In general, what is your personal view of games of chance, such as a raffle? Do you participate in such games? Do you have particular feelings about people who do or about those who offer them?
Now that you have explored probability and its related concepts in this unit, do you have a different perspective on games of chance than you used to? Is fairness or lack of fairness an issue for you regarding such games? Explain
Answer: i wouldnt
Step-by-step explanation: while its a good way to get funds since you'd get 10x the amount the people came. But if you were the person buying the ticket you'd have 1 in a thousand chance. Unless less people came but still -
so no.
Consider the function A defined by the rule A(x) = integral^x_1 f(t) dt, where f(t) = 4 - 2t. use the first fundamental theorem of calculus to find an equivelant formula that does not involve integrals
The equivalent formula that does not involve integrals is A(x) = 2x - 2x^2 + 4x - 4.
The First Fundamental Theorem of Calculus states that if f(x) is a continuous function on the interval [a, b], then the function F(x) = integral^x_a f(t) dt is an antiderivative of f(x), meaning that its derivative is equal to f(x). Therefore, if we have the antiderivative of a function, we can use the derivative to find an equivalent formula without an integral.
In this case, the derivative of the antiderivative of f(t) = 4 - 2t is f(t) = 4 - 2t, which is the original function. So, the equivalent formula for A(x) is A(x) = 2x - 2x^2 + 4x - 4, which does not involve integrals.
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as she is training for the upcoming new york marathon, jaelyn started running 3 to 4 miles daily during the week with an 8-mile distance run on the weekend. after 6 months, she is able to run 4 to 5 miles daily during the week with a 20-mile distance run on the weekend. this is an example of which of the following principles?
Jaelyn is training for the upcoming new york marathon, jaelyn started running 3 to 4 miles daily during the week with an 8-mile distance run on the weekend. after 6 months is- progression
The six fundamental principles in the training are the principle of- distance individual difference, overload, progression, use/disuse, adaptation, specificity.
The principle of progression tells us that to improve performance and fitness there should be a systematic and gradual increase in the intensity with respect to time. This helps in increasing the performance of any athlete without the chances of injury.
So here Barbara has increased running distance up to 25 miles after 6 months of starting training which shows she is following progression principle.
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what’s the answer for this problem????
The inequality on the number line is 5x -2 > -22 or 6x-7 < 11.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The open circles on the number line shows that it does not include those value i.e., the values have less than and greater than.
So, from the number line the inequality is -4 < x < 3.
Now, 5x -2 > -22 and 6x-7 < 11
5x > -20 and 6x < 18
x > -4 and x<3.
x+5 >8 and 3+ 2x < -5
x >3 and x < -4.
so, the inequality is 5x -2 > -22 or 6x-7 < 11.
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assuming an interest rate of 5.4 percent, what is the value of the following cash flows four years from today? year cash flow 1 $ 3,000 2 4,040 3 5,885 4 7,975 multiple choice $23,120.48 $21,291.46 $22,178.61 $22,609.26 $23,631.70
The value of the cash flows four years from today is $22,609.26.
The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.
The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.
The value of the cash flows four years from today is $22,609.26.
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Ayuda por favor
[tex] \frac{4}{5} \times \frac{1}{8} = \frac{4}{40 } = [/tex]
[tex] \frac{3}{4} \times \frac{5}{9} = \frac{15}{36} = [/tex]
[tex] \frac{4}{1} \times \frac{7}{2} = \frac{4}{14} = [/tex]
An investor holds two stocks, each of which can rise (R), remain unchanged (U), or decline (D) on any particular day.
Therefore , the solution of the given problem of probability comes out to be probability that Both Rise - 0.06.
How can you figure out probability?The possibilities of a given outcome in an event of sequence of events are referred to as probability.Consider the prices of two stocks as A & B based on the information provided. The following formula will be used to determine the likelihood that both stocks' prices will fall:
Here,
Decline Probability in A and B = PA(D) x PB (D)
Probability of Decline for A and B is -0.2 x 0.3.
Decline probabilities in A and B are 0.06
Now there will be a 100% chance of a price increase.
The likelihood of one rising is given by PA(U) x [PB(R) + PB(D)] + PB(U) x [PA(R) + PA(D)].
Chance of one rising is equal to 0.2 x (0.4 + 0). .3] +0.3 x (0.6+0.2
Chance that one increases is -0.38
For just one price remaining the same, now
One Unchanged Probability = PA (U) x [PB(R) + PB(D)]
[PA(R)+ P1 (D)] +PB(U)
Probability for a Single Unchanged Value is equal to 0.6 x [0.3 +0.3] +0.4 x [0.2+0 .2]
Probability for a Single Unchanged Value: 0.52
the likelihood that both prices will increase,
Both Rising Probability = PA(R)APB (R)
Chance that Both Will Rise 0.2 x 0.3
Chance that both will rise: 0.06
Therefore , the solution of the given problem of probability comes out to be probability that Both Rise - 0.06.
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answer:
x² - 4 = 0
4x² = 16
Step-by-step explanation:
x² - 4 = 0 can be rewritten as
x² = 4
x = ± √4
x = ± 2
So this gives two solutions for x => x = 2 and x = -2
4x² = 16
Divide by 4 both sides
x² = 16/4
x² = 4
which is the same as above
x = ± 2
What is the mean of this data set?
{0.5, 0.33, 0.67, 1.5}
Answer:
the mean is 3/4
Step-by-step explanation:
to find mean, add all terms and then divide by the number of terms
0.5 + 0.33 + 0.67 + 1.5 = 3
divide by 4
mean: 3/4
Answer:
0.75
Step-by-step explanation:
0.5+0.33+0.67+1.5 = 3
3/4 = 0.75
I don’t know how to do this can you help me?
Inequalities help us to compare two unequal expressions. The point which satisfy both inequalities is (5,0)
What is inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
For a point to be the solution of the system of inequalities, the point when substituted in the inequalities must satisfy both the given inequalities.
A. (2, -6)
y > (-3/2)x + 6
-6 > (-3/2)2 + 6
-6 > 3. this is false
y > x - 6
-6 > 2 - 6
-6 > -4 this is false
Since the both inequality is not satisfied, therefore, the given point is not the solution.
B. (10, -5)
y > (-3/2)x + 6
-5 > (-3/2)10 + 6
-5 > -9. this is true
y > x - 6
-5 > 10 - 6
-5 > 4 this is false
Since the second inequality is not satisfied, therefore, the given point is not the solution.
C. (5, -0)
y > (-3/2)x + 6
0 > (-3/2)5 + 6
0 > -1.5. this is true
y > x - 6
0 > 5 - 6
0 > -1 this is false
Since both the inequality are satisfied, therefore, the given point is the solution.
D. (-10, -4)
y > (-3/2)x + 6
-4 > (-3/2)-10 + 6
-6 > 21. this is false
y > x - 6
-4 > -10 - 6
-6 > -16 this is true
Since the first inequality is not satisfied, therefore, the given point is not the solution.
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(30gallons 3 quarts 1 pint)x5
Answer:
154.37500 US gallons
How many solutions does each system of equations have?
The solution that each system of equations have would be = 2 solutions of the value of X and y.
What is substitution method of solving equation?The substitution method of solving an equation is defined as the way of solving an equation whereby one variable is solved and is substituted into the second unknown variable.
For the above sets of equations, the solutions would be the value of both X and y which can be solved as follows:
4x-y = 2 ---->. equation 1
16x-4y = 8 -----> equation 2
Make y the subject of formula in equation 1
y = 2-4x
substitute y = 2-4x into y in equation 2
16x - 4( 2-4x) =8
16x - 8 + 16x = 8
32x = 16
X = 16/32
X= 0.5
Substitute 0.5 = X in equation 1;
4(0.5) - y = 2
y = 2-2
y = 0
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write (-2,-3) (4,-7) in standard form
Standard form of the line passing through the points (-2, -3) and (4, -7) is,
⇒ y = - 2/3x - 13/3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-2, -3) and (4, -7).
Now,
Since, The equation of line passes through the points (-2, -3) and (4, -7).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 7 - (-3)) / (4 - (-2))
m = - 4 / 6
m = - 2/3
Thus, The equation of line with slope - 2/3 is,
⇒ y - (-3) = - 2/3 (x - (-2))
⇒ y + 3 = - 2/3 (x + 2)
⇒ y + 3 = - 2/3x - 4/3
⇒ y = - 2/3x - 4/3 - 3
⇒ y = - 2/3x - 13/3
Therefore, The equation of line passes through the points (-2, -3) and
(4, -7) will be;
⇒ y = - 2/3x - 13/3
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In Hypothetical Town, the probability that a teenager in a household has an Android device is 0.74 and the probably that a teenager in a household owns an Apple device is 0.26. A family has two teenagers. If X is the number of teenagers who own an Apple device, find the probability that the family has 0, 1, or 2 teenagers who own an Apple device.
Answer:
The probability of a family having 0 teenagers with an Apple device can be calculated as (0.26)^0 * (0.74)^2 = 0.5356.
The probability of a family having 1 teenager with an Apple device can be calculated as 2 * (0.26) * (0.74)^1 * (0.74)^1 = 0.4428.
The probability of a family having 2 teenagers with an Apple device can be calculated as (0.26)^2 * (0.74)^0 = 0.0676.
Therefore, the probability of a family having 0, 1, or 2 teenagers with an Apple device can be calculated as 0.5356 + 0.4428 + 0.0676 = 1.0.
which pair of segments in the figure below intersect?
option D is correct, VZ and Vr are pair of segments in the figure intersect.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
In the given figure we have to find the segments which are intersected.
line segments are considered intersecting lines when they cross each other at one single point.
The point where lines intersect is termed the point of intersection
VZ and Vr are the pair of segments which are intersected.
Hence, option D is correct, VZ and Vr are pair of segments in the figure intersect.
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Gameron wants to measure a poster frame, but he only has a sheet of
paper that is 8 1/2 by 11 inches
a.
He lays the long edge of the paper along the long edge of the frame several times
and finds the frame is 4 papers long. How long is this in inches?
In feet?
b.
He lays the short edge of the paper along the short edge of the frame several times
and finds the frame is 3 papers wide. How long is this in inches?
In feet?
plsss help!
The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: The measure of the frame is 8.5 inches and 11 inches
a) if the frame is 4 papers long then we have the length of the frame as
11×4=44 inches (since he lays the paper along the edge of frame)
We know 1 inch= 0.0833 foot
Thus 44 inches= 3.66667 foot
b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches
∴25.5 inches= 2.125 feet
Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
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problem 1 (5 points) determine whether the following statements are true or false about simple linear regression of the form y
FALSE: Finding non-linear correlations between two variables cannot be done using regression.
Explain about the simple linear regression?To determine the association between two quantitative variables, simple linear regression is performed. Simple linear regression can be used to determine:
How strongly two variables are correlated with one another.the dependent variable's value at a particular value of the independent variable.Regression analysis is a mathematical technique for creating predictive models in which one or more existing independent or explanatory factors influence an unknown target variable.
The determination coefficient value serves as a measure of a regression model's fitness.
Thus, finding non-linear correlations between two variables cannot be done using regression is a incorrect statement.
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The complete question is-
Determine if the following statement is true or false:
Regression cannot be used to identify non-linear relationships between two variables.
out the missing marginal costs and benefits in the table. (see question marks) unit total cost marginal cost total benefit marginal benefit 1 100 100 120 120 2 125 ? 150 ? 3 140 ? 175 ? 4 160 ? 190 ?
The missing marginal costs and benefits values are the following
For row 2 : Marginal cost = $25Marginal benefit = $ 30
For row 3 : Marginal cost = $15Marginal benefit = $25
For row 4 : Marginal cost = $20Marginal benefit = $15See above we have a table with columns total cost, marginal cost , total benefits and marginal benefits. We have to determine the values in place of question mark (?) . Marginal benefit and marginal cost are two measures of how the price or value of a product changes.
The marginal benefit is determined by dividing the change in total benefit received by the change in the number of units consumed.Marginal Cost = Change in Total Cost / Change in consumed unitsNow, Marginal cost and benefits for row 2
change in total cost = 125- 100 = 25
change in units = 2 - 1 = 1
So, marginal cost = 25/1 = $25
Marginal benefit = change in total benefits/ change in units
= (150 - 120)/2-1 = 30/1 = $ 30
Marginal cost and benefits for row 3:Change in total cost = 140 - 125 = 15
Change in units = 3 - 2 = 1
Change in total benefit = 175 - 150 = 25
So, marginal cost = 15/1 = $15
Marginal benefit = 25/1 = $25
Marginal cost and benefits for row 4:Change in total cost = 160 - 140 = 20
Change in units = 4 - 3 = 1
Change in total benefit = 190 - 175= 15
So, marginal cost = 20/1 = $20
Marginal benefit = 15/1 = $15
Hence, we get all the values of question mark.
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Complete question:
Find Out the missing marginal costs and benefits in the above table. (see question marks) unit total cost marginal cost total benefit marginal benefit 1 100 100 120 120 2 125 ? 150 ? 3 140 ? 175 ? 4 160 ? 190 ?