KINDLY ANSWER FROM A TO D COMPLETELY. SOME PEOPLE HAVE BEEN
DOING TERRIBLE WORK BY ANSWERING HALF WAY. PLS IF YOU CANT ANSWER
ALL THE POINT, DONT TRY. TNX
2 (a) Evaluate the integral: 1 16 dr 22 +4 Your answer should be in the form kt, where k is an integer. What is the value of k? Hint: d - arctan(x) dr 1 22 +1 k= (b) Now, let's evaluate the same integ
Answers
The value of k in both cases is the coefficient in front of the arctan term, which is 2 in part (a) and 1/4 in part (b).
(a) To evaluate the integral ∫(1/(16 + 22x^2)) dx, we can use the substitution method. Let's set u = √(22x^2 + 16). By differentiating both sides with respect to x, we get du/dx = (√(22x^2 + 16))'.
Now, let's solve for dx in terms of du:
dx = du / (√(22x^2 + 16))'
Substituting these values into the integral, we have:
∫(1/(16 + 22x^2)) dx = ∫(1/u) (du / (√(22x^2 + 16))')
Simplifying, we get:
∫(1/(16 + 22x^2)) dx = ∫(1/u) du
The integral of 1/u with respect to u is ln|u| + C, where C is the constant of integration. Therefore, the result is:
∫(1/(16 + 22x^2)) dx = ln|u| + C
Now, we need to substitute back u in terms of x. Recall that we set u = √(22x^2 + 16).
So, substituting this back in, we have:
∫(1/(16 + 22x^2)) dx = ln|√(22x^2 + 16)| + C
Simplifying further, we can write:
∫(1/(16 + 22x^2)) dx = ln|2√(x^2 + (8/11))| + C
Therefore, the value of k is 2.
(b) To evaluate the same integral using a different approach, we can rewrite the integral as:
∫(1/(16 + 22x^2)) dx = ∫(1/(4^2 + (√22x)^2)) dx
Recognizing the form of the integral as the inverse tangent function, we have:
∫(1/(16 + 22x^2)) dx = (1/4) arctan(√22x/4) + C
So, the value of k is 1/4.
In part (a), we evaluated the integral ∫(1/(16 + 22x^2)) dx using the substitution method. We substituted u = √(22x^2 + 16) and solved for dx in terms of du. Then, we integrated 1/u with respect to u, and substituted back to x to obtain the final result as ln|2√(x^2 + (8/11))| + C.
In part (b), we used a different approach by recognizing the form of the integral as the inverse tangent function. We applied the formula for the integral of 1/(a^2 + x^2) dx, which is (1/a) arctan(x/a), and substituted the given values to obtain (1/4) arctan(√22x/4) + C.
The value of k in both cases is the coefficient in front of the arctan term, which is 2 in part (a) and 1/4 in part (b).
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Related Questions
1. Write an equation that would allow you to test whether a particular point (x, y) is on the parabola
2. Write an equation that states (x, y) is the same distance from (4, 1) as it is from x axis.
3. Write an equation that describe a parabola with focus (-1,-7) and directrix y=3.
4. Write an equation that is perpendicular to the equation y= -2/5x + 8/5.
Answers
The definition of a parabola and the equation of a parabola indicates;
1. (x, y) is on a parabola if it satisfies the equation; 4·y = x² - 6·x + 13
2. The equation is; y² = (x - 4)² + (x - 1)²
3. The equation is; (x + 1)² = -20·(y + 2)
4. y = (5/2)·x + b
What is an equation?An equation is a statement that two mathematical expressions are equivalent, by joining with an '=' sign.
1. The point (x, y) can be tested if it is on a parabola by plugging the values for the coordinates, (x, y), into the equation of a parabola, which can be presented in the form; y = a·x² + b·x + c
The vertex of the parabola is; (3, 1)
The vertex form is therefore; y = a·(x - 3)² + 1
The point (1, 2) indicates; 2 = a·(1 - 3)² + 1
a·(1 - 3)² = 2 - 1 = 1
a = 1/4
The equation is; y = (1/4)·(x - 3)² + 1 = (x² - 6·x + 13)/4
4·y = x² - 6·x + 13
The point is on the parabola if it satisfies the equation; 4·y = x² - 6·x + 13
2. The distance of the point (x, y) from the point (4, 1), can be presented using the distance formula as follows;
d = √((x - 4)² + (y - 1)²)
The distance of the point (x, y) from the x-axis is; y
The equation that states that (x, y) is the same distance from (4, 1) as it from the x-axis is therefore;
√((x - 4)² + (y - 1)²) = y
(x - 4)² + (y - 1)² = y²
3. The equation of a parabola with focus (h, k + p) and directrix y = k - p can be presented as follows; (x - h)² = 4·p·(y - k)
Therefore, where the focus is; (-1, -7), and directrix is y = 3, we get;
(h, k + p) = (-1, -7)
3 = k - p
h = -1
k - p + k + p = 2·k
k + p = -7
k - p = 3
k - p + k + p = -7 + 3 = -4 = 2·k
k = -4/2 = -2
p = k - 3
p = -2 - 3 = -5
The equation is therefore;
(x - (-1))² = 4×(-5)×(y - (-2))
(x + 1)² = -20·(y + 2)
4. The slope of a perpendicular line to a line with slope m is; -1/m
The slope of the perpendicular line to the line; y = (-2/5)·x + 8/5, therefore is; m = 5/2
The equation of the line is therefore; y = (5/2)·x + b, where b is a constant, representing the y-coordinate of the y-intercept
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please help me this is almost due. i beg you! (Show work)
Answers
Answer:
I believethe answer is 1/2 cup of water.
Step-by-step explanation:
I don't know how to explain it
find the exact value of 2sin30 cos30
Answers
Answer:
\(\frac{\sqrt{3}}{2}\)
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
\(sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}\)
Now we just multiply all the together and we get:
\(2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}\)
what is the answer to this
3x−y=7
−4x+6y=0
Answers
Answer:
-7, -0
Step-by-step explanation:
Miguel's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Miguel $ 5. 95 per pound, and Type B coffee costs $ 4. 65 per pound. This month's blend used three times as many pounds of Type B coffee as Type A, for a total cost of $ 796. 0. How many pounds of Type A coffee were used?.
Answers
The cost Type A coffee were used in the blend 40 pounds .
assume the number of pounds of Type A coffee used is 'x'.
Given:
Cost of Type A coffee = $5.95 per pound
Cost of Type B coffee = $4.65 per pound
Total cost of the blend = $796.0
The blend used three times as many pounds of Type B coffee as Type A.
set up the equation to represent the total cost:
Total cost = Cost of Type A coffee + Cost of Type B coffee
$796.0 = $5.95 × x + $4.65 × (3x)
Simplifying the equation:
$796.0 = $5.95x + $13.95x
Combining like terms:
$796.0 = $19.9x
Dividing both sides by $19.9:
x = $796.0 / $19.9
x ≈ 40
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if we flip a coin, we would expect the probability of it landing heads is the same as it landing tails (e.g., 0.50). however, we are more likely to achieve this outcome the more often we flip the coin. that is, over a large number of trials we are more likely to approximate our expected probability. this is referred to as:
Answers
if we flip a coin, we would expect the probability of its landing heads to be the same as its landing tails is referred to as the law of large numbers.
The law of large numbers is a probability and statistics, which defines that as a sample size grows, its mean gets closer to the average of the whole population.
This is due to the sample being more representative of the population as the sample becomes larger.
This is the theorem that describes the result of performing the same experiment a large number of times because the average of the results obtained from a large number of trials is close enough to the expected value.
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i will mark answer brainliest
Answers
Answer:
its 17.3 or 18.0 feet
Step-by-step explanation:
GEOMETRY
Parallelogram PQRS is a square . The length of side PQ = 2x + 8 and the perimeter of ABCD = 96. What is the length of side PQ?
40
52
44
24
Answers
Answer:
24
Step-by-step explanation:
I think you meant PQRS not ABCD?
If so, perimeter is the sum of all four sides of a square. Since square has same side lengths,
Perimeter = 4(2x+8)
96=8x+32
64=8x
x=8
So plugging this back into expression,
2(8)+8= 24
20) The total fees f of a book club membership are $10 per month m and a one-time
administration fee of $4.75.
Function rule:
How much will it cost for a 15 month membership?
Answers
Which expression is not equivalent to
-3x - 1/2 + 4y?
Answers
Answer:
-3y-3/4+7y+1/4-3x
I hope It's the right answer!
Answer:
the second one is the answer:
-2x - 1/2 + 6y + 3x
Step-by-step explanation:
determine if the following equation is a polynomial.. if so determine what type
6x^1/2+4xa
Answers
Answer: For an expression to be a polynomial term, any variables in the expression must have whole-number powers (or else the "understood" power of 1, as in x1, which is normally written as x). A plain number can also be a polynomial term. In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Step-by-step explanation:
Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order.
Answers
Answer:
Step-by-step explanation:
Correct order to prove BD bisects ∠ABC is,
Statements Reasons
1). AB ≅ BC 1). Given
D is the midpoint of AC
2). AD ≅ DC 2). A midpoint divides a segment into two
congruent segments.
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCBD 4). SSS property
5). ∠ABD ≅ ∠CBD 5). Corresponding parts of congruent
triangles are congruent (CPCTC)
If x and y are integers and x = 50y + 69, which of the following must be odd? O xy O x+y O x+2y 3x - 1 O 3x+1
Answers
Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.
Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.
1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.
2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:
If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.
3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.
4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.
5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.
In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.
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The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of two per sheet. What percent of these sheets have no air bubbles?
Group of answer choices
27.07%
13.53%
18.04%
86.47%
Answers
The percentage of sheets with no air bubbles is 13.53%. Therefore, the correct answer is option (B) 13.53%.
The Poisson distribution with a mean of 2 is given by:
P(X = k) = (e^(-2) * 2^k) / k!
where X is the number of small air bubbles per 3 feet by 3 feet plastic sheet.
To find the probability that there are no air bubbles, we set k = 0:
P(X = 0) = (e^(-2) * 2^0) / 0! = e^(-2) = 0.1353
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If you substitute 12 2x for y in the second equation, how is the resulting equation written in standard form?
Answers
The resulting equation written in standard form is 16x² - 22x + 6 = 0.
What is equation in standard form?Quadratic Equation in Standard Form: ax² + bx + c = 0
a, b and c are known values. a can't be 0.
"x" is the variable or unknown (we don't know it yet).
The "solutions" to the Quadratic Equation are where it is equal to zero.
They are also called "roots", or sometimes "zeros"
We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)
Or we can Complete the SquareOr we can use the special Quadratic Formula:Quadratic Formula: x = [ -b (+-) √(b² - 4ac) ] / 2a, Just plug in the values of a, b and c, and do the calculations.Calculation for the given equation-
Now, y=-16x²+24x+6
Substitute, y = 12+2x in y = -16x²+24x+6.
=> 12+2x = -16x²+24x+6
=> 16x²-24x-6+12+2x = 0
=> 16x²-22x+6 = 0
Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.
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The complete question is-
The two equations are given below;
Y = 12 + 2x linear equation
Y = -16x² + 24x + 6 quadratic equation
If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?
Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Answers
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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Can someone tell me the answer to this???
Answers
180 - 40=140
140/2=70
Now we can write the equation:
8x - 10 =70
8x=80
X=10
Part A
Consider this equation.x-4=16 What is the
how you got your answer. Enter
solution to the equation? Show or explain
provided.
your answer and your work or
explanation in
the space provided.
Answers
Answer:
x = 20
Step-by-step explanation:
Given:
\(\diplaystyle \large{x-4=16}\)
Add both sides by 4 because we want to find x-term so we have to isolate it. The reason why we have to add 4 both sides because it’s the equation, telling that LHS is equal to RHS so if one of the sides change, another side will change the same to that side as well:
\(\displaystyle \large{x-4+4=16+4}\\\\\displaystyle \large{x=20}\)
Now x-term is isolated, therefore, the value of x is 20.
hey honeys, anyone wanna help me out here? <3
Answers
Answer:
D:4
Step-by-step explanation:
12(4)-5=5(4)+23
43=43
Hope this helps
Just the answer please
Answers
Answer:
One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.
Step-by-step explanation:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
The graph of the cubic parent equation, y=x3
, is plotted on the coordinate plane.
Select two equations that represent a shift of the graph of the parent equation to the right on the coordinate plane.
Answers
The two equations that represent a shift of the graph are y=(x-12)³ and y=(x+8)³.
What is an equation?
Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.
The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.
=> y=(x-12)³
=> y=(x+8)³
Therefore , the solution of the given problem of equation comes out to be y=(x-12)³ and y=(x+8)³.
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What is the slope of the line
represented by the equation
2y = 5x + 4?
Answers
Answer: The slope is 5/2.
Step-by-step explanation:
Convert the equation into slope intercept form, ( y=mx+b)
2y = 5x + 4 Divide each side by 2
y = 5/2x + 2 In this form the slope will be the coefficient of x variable.
The coefficient is the number that comes before x.
In this case, the slope is 5/2.
A plane is flying to a city 776 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight. (a) If the plane flies through a constant headwind blowing south at 53.5 km/h, how much time (in h) will it take to reach the city? h (b) If instead the plane flies through a constant tailwind blowing at 53.5 km/h, how much time (in h) will it take to reach the city? h (c) If instead the plane flies through a constant crosswind blowing east at 53.5 km/h, how much time (in h) will it take to reach the city? h
Answers
(a) The time (in h) will the plane take to reach the city is 7.09 hours or 7.1 hours.
(b) The plane flies through a constant tailwind blowing at 53.5 km/h, the time (in h) will it take to reach the city is 3.58 hours or 3.6 hours.
(c) The plane flies through a constant crosswind blowing east at 53.5 km/h, the time (in h) will it take to reach the city is infinite.
(a) To find the time it will take for the plane to reach the city with a headwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by subtracting the speed of the headwind from the plane's airspeed.
Ground speed = Airspeed - Headwind speed
Ground speed = 163 km/h - 53.5 km/h
Ground speed = 109.5 km/h
Now that we know the ground speed, we can use the formula:
Time = Distance ÷ Speed
Time = 776 km ÷ 109.5 km/h
Time = 7.09 hours or 7.1 hours
(b) To find the time it will take for the plane to reach the city with a tailwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by adding the speed of the tailwind to the plane's airspeed.
Ground speed = Airspeed + Tailwind speed
Ground speed = 163 km/h + 53.5 km/h
Ground speed = 216.5 km/h
Now that we know the ground speed, we can use the formula:
Time = Distance ÷ Speed
Time = 776 km ÷ 216.5 km/h
Time = 3.58 hours or 3.6 hours
(c) To find the time it will take for the plane to reach the city with a crosswind, we need to first find the component of the crosswind that is perpendicular to the plane's direction of travel. This component will not affect how long it takes for the plane to reach its destination.
Component of crosswind = Crosswind speed × sin(angle between direction of travel and crosswind)
Component of crosswind = 53.5 km/h × sin(90°)
Component of crosswind = 53.5 km/h
Now we can find the ground speed of the plane relative to its direction of travel:
Ground speed = Airspeed × cos(angle between direction of travel and crosswind)
Ground speed = 163 km/h × cos(90°)
Ground speed = 0 km/h
Since the ground speed is 0 km/h, the plane will not make any progress towards its destination. Therefore, it will take an infinite amount of time to reach the city with a crosswind.
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round to 3 SF 7.8436 its urgent
Answers
Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.
Answers
11.5 x 1.5 is 17.25
17.25 x 6 is 103.5
103.5 + 460 is 563.5
the answer is $563.50
The amount that Heather earns if she works 46 hours in one week is; $563.5
Amount she earns per hour if she works for 40 hours a week = $11.5 per hour
If she works over 40 hours, her hourly pay is 1.5 times the previous rate.
Thus;
Amount she earned for 40 hours is;
11.5 × 40 = $460
Amount she earned for the 6 extra hours to make it 46 hours is;
1.5 × 11.5 × 6 = $103.5
Total amount she earned for the 46 hours = $460 + $103.5 = $563.5
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What is the slope of the given curve at the specified point?
x = cos (y): y = - π/3 A) m = 2 √3/3 B) m = - √2/2 C) m = 3 √2/4
D) m = - √3/2
Answers
The correct answer is D) m = -√3/2. To find the slope of the given curve at the point (x, y), we need to take the derivative of the curve with respect to x and evaluate it at the given point.
The equation of the curve is x = cos(y), and we want to find the slope at the point (x, y) = (-π/3). Taking the derivative of x = cos(y) with respect to x, we get: dx/dy = -sin(y) * dy/dx. To find the slope at the point (-π/3), we substitute y = -π/3 into the derivative expression: dx/dy = -sin(-π/3) * dy/dx = -(-√3/2) * dy/dx = √3/2 * dy/dx.
Therefore, the slope of the curve at the point (-π/3) is √3/2. Hence, the correct answer is D) m = -√3/2.
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complete the following statements of congruence zyx
Answers
Answer:
cba
Step-by-step explanation:
yes correct answer x yimes h yomes z
\(7+4-5+21-2+4\)\(7+4-5+21-2+4\)Geometry The volume of a rectangular prism is 208 cm3. If the area of one end is 16 cm2, what is the length of the prism?
Answers
Answer:
thanks for the free points don't do this to other people if you don't want it done to you.
Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm
Answers
Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.
To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.
The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.
Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.
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1. r, the linear correlation coefficient for a sample is always a) greater than 0 b) between -1 and 1, inclusive c) less than or equal to 0
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The linear correlation coefficient for a sample is always b) between -1 and 1, inclusive
How to determine the true statementThe linear correlation coefficient (also known as Pearson's correlation coefficient) is a measure of the strength and direction of the linear relationship between two variables.
It ranges from -1 to 1, with negative values indicating a negative correlation (inverse relationship), positive values indicating a positive correlation (direct relationship),
And a value of zero indicating no correlation between the variables.
The answer is (b) between -1 and 1, inclusive
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