In 1970, 92% of American 30-year-olds earned more than their parents did at age 30 (adjusted for inflation). In 2014, only 51% of American 30-is The probability is. 83
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
How is probability determined?
picture for "probability"
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.
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Add 8x-9y+2z , -6x +7y-5z
Answer:
2x-2y-3z
Step-by-step explanation:
8x+-6x
=8x-6x
=2x
-9y+7y
=-2y
2z+-5z
= 2z-5z
=-3z
2x-2y-3z
8x - 9y + 2z
-6x + 7y - 5z
On adding these two equation :
8x + ( -6x) = 2x
-9y + 7y = -2y
2z + (-5z) = -3z
we will get :
2x - 2y -3z
.
In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.
.
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Please help it’s ASAP
27 is the test score of percentile score of 71 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60 th percentile.
[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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work out the surface area of this cylinder
Answer:207.24 and 483.56
Step-by-step explanation:
The formula for the surface area of a cylinder is:
A=2πrh+2πr2
Meaning that we only have to plug the values in.
2π(3)(8)+2π(3)²
=48π+18π
=66π
=66(3.14)
=207.24
Second Cylinder:
2π(7)(4)+2π(7)²
=56π+98π
=154π
=154(3.14)
=483.56
Kenji and Ramon are running cro country. Kenji run at a rate of 150 meter per minute
Kenji and Ramon are at a distance of 750 m after a time interval of 1 hour from each other.
Kenji runs for a total time of 60 minutes + 15 minutes = 75 minutes.
Ramon runs for a total of 60 minutes.
Now, we find the total distance covered by Kenji and Ramon in the time intervals of 75 minutes and 60 minutes respectively.
Kenji runs a total distance of 150 meters/minute * 75 minutes = 11250 meters.
Ramon runs a total distance of 200 meters/minute * 60 minutes = 12000 meters.
Now, we find the difference in their distances.
The distance between Kenji and Ramon is 12000 meters - 11250 meters = 750 meters.
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Complete Question:
Kenji and Ramon are running cross country. Kenji run at a rate of 150 meter per minute and Ramon runs at a rate of 200 meters per minute. If Kenji starts 15 minutes before Ramon, how far apart are they after one hour?
June wah the window for two hour and 45 minute he finihed wahing window at 3:05 p. M. What time did he finih wahing window
June started washing the window at 12:20 PM.
June washed the window for 2 Hours and 45 minutes.
As he finished washing the window at 3:05 PM
For calculating at what time did he start washing the window we need to subtract the time taken in cleaning the window from the time at which he finished washing.
As, for finding the starting time, we need to subtract 2 Hr. and 45 minutes from 3:05 PM.
As, 3:05 PM can be also written as 5 minutes post 3 which will be equivalent to (60+5) = 65 minutes post 2. (As there are 60 minutes in 1 Hr).
Now, 45 minutes before 2:65 minutes will be 2:20
Again 2 Hr. before 2:20 PM will be 12:20 PM.
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The correct question may be
June washed the window for two hours and 45 minutes he finished washing the window at 3:05 P. M. What time did he start washing the window?
a card is draw from a standard deck of 52 playing cards find the probability the card is a jack or a heart
Answer:
4/13
Step-by-step explanation:
The question asking to find P(jack or heart)
You have to use the formula below:
P(A or B) = P(A) + P(B) - P(A and B)
Event A here is jack and event B is heart, now let's find the three probabilities on the right side to be able to find the left side.
P(jack) =4/52 because there are 4 jacks in a standard deck of cards
P(heart) =13/52 because there are 13 heart cards
P(jack and heart) =1/52 because there is only one jack card with a heart symbol
Now, plug in the three answers in the above formula:
P(jack or heart) = 4/52 + 13/52 - 1/52
this equal to 16/52
Last step, reduce the result by dividing the top and the bottom numbers by 4
The final answer is 4/13
what are the hypothesis and the conclusion of the conditional? if anangle measures 130, then the angle is obtuse
The hypothesis of the conditional statement is "if an angle measures 130 degrees," and the conclusion is "the angle is obtuse."
A conditional statement is a statement in the form "if X, then Y," where X is the hypothesis and Y is the conclusion. In this case, the hypothesis is that the angle measures 130 degrees, and the conclusion is that the angle is obtuse.
An angle is obtuse if it measures more than 90 degrees but less than 180 degrees. Since 130 degrees is greater than 90 degrees but less than 180 degrees, the conclusion that the angle is obtuse follows logically from the hypothesis that the angle measures 130 degrees.
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Asher is 12 years old and this season. They joined a traveling baseball team for players 17 years old and under. Asher hit 13 doubles this year.
If Asher plays each of the remaining seasons before being too old, what is the average number of doubles Asher needs to hit in order to match the league record of 73 career doubles?
___ doubles (per season)
Answer:
3
Step-by-step explanation:
His total doubles 73 and he already has 13 doubles. So, 73-13 = 60.He needs 60 doubles. His current age is 12. So, 17-12 = 5 yrs. 1 yr has 4 season. For 5 yrs 20 season. 60/20 = 3. Hence 3 doubles/season
by sethus1981.
Find the equation of the straight line that has a slope of 4 and passes through the point (-1, -6)
Answer:
y = 4x - 2
Step-by-step explanation:
y = 4x + b
-6 = 4(-1) + b
-6 = -4 + b
b = -2
y = 4x - 2
Answer:
[tex]y - (-6) = 4(x - (-1))[/tex] or [tex]y = 4x - 2[/tex]
Step-by-step explanation:
We can use point slope form: [tex]y - y_{1} = m(x - x_{1})[/tex], where [tex](x_1, y_1)[/tex] is a point on the line and [tex]m[/tex] is the slope.
We plug in (-1, -6) and 4 to get: which simplifies to [tex]y + 6 = 4(x + 1)[/tex]
If we want to express this in the form y = mx + b, we have to do a little rearranging. [tex]y + 6 = 4(x + 1)[/tex] becomes [tex]y + 6 = 4x + 4[/tex] and then we subtract 6 from both sides to get: [tex]y = 4x - 2[/tex]
4. Shoan takes 5 hours to complete 4 assignments. Find the
time taken to complete 3 assignments.
Answer:
3.75 Hours or 225 Minutes
Step-by-step explanation:
5/4 = 1.25 So it takes 1.25 hours to do an assignment
1.25 x 3 = 3.75
Which equals 225 Minutes
Answer: 3.75 or 3 3/4
Step-by-step explanation:
This is a unit rate problem
A unit rate is a rate for one of something. (i.e, 1 pencil for 4 notebooks)
So first, to find the time needed for one assignment, we divided 5 hours by 4 hours.
5/4 = 1.25 (1 and 1/4)
Now we multiply the unit rate by 3.
1.25 times 3 = 3.75, or 3 3/4.
in the scientific method, which of the following is true about a hypothesis? group of answer choices the same hypothesis may not be tested more than once. research studies are designed to prove a hypothesis. a specific hypothesis is generated based on an established theory. a hypothesis both explains and predicts a phenomenon.
For the scientific method , the true statement about the hypothesis is (b) research studies are designed to prove a hypothesis.
The term Hypothesis is defined as the observation which is proposed as the possible outcome or results of an experiment .
we know that ; in order to prove a hypothesis, the experiments are designed and after that they are performed based on given hypothesis.
That is how the experiments are designed based on a previous idea which may result in a particular outcome.
So , any hypothesis is dependent on a specific experiment( research studies) .
Therefore , the correct option is (b) .
The given question is incomplete , the complete question is
In the scientific method, which of the following is true about a hypothesis?
(a) the same hypothesis may not be tested more than once.
(b) research studies are designed to prove a hypothesis.
(c) a specific hypothesis is generated based on an established theory.
(d) a hypothesis both explains and predicts a phenomenon.
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PLEASE HURRY! Jacob is saving to buy an electronic tablet that costs $380 including tax and has saved $150. Jared plans to earn the rest of the money by mowing lawns and will charge $12 for each lawn he mows.
Write an inequality to find x, the minimum number of lawns Jacob will need to mow in order to buy the ticket.
Show how to solve the inequality and explain what the solution means.
Answer:
To find the minimum number of lawns Jacob will need to mow, we can set up the following inequality:
12x + 150 >= 380
To solve this inequality, we need to get x by itself on one side of the inequality. We can do this by subtracting 150 from both sides of the inequality:
12x >= 230
Then, we can divide both sides of the inequality by 12 to get the value of x:
x >= 19.17
Since x represents the number of lawns Jacob needs to mow, it must be an integer. Therefore, the minimum number of lawns Jacob will need to mow is 20.
This means that Jacob needs to mow at least 20 lawns in order to earn enough money to buy the electronic tablet. If he mows more than 20 lawns, he will have more than enough money to buy the tablet.
A, B & C form the vertices of a triangle, where
∠CAB = 90°.
AB = 10.2 m and AC = 4.9m. Evaluate
∠ ACB, giving your answer rounded to 3 SF.
Answer:
Step-by-step explanation: To find the measure of angle ACB, we can use the Pythagorean Theorem: AB^2 + AC^2 = BC^2.
Substituting in the given values for AB and AC, we get: 10.2^2 + 4.9^2 = BC^2
Solving for BC, we get: BC = √(10.2^2 + 4.9^2)
Substituting this value back into the equation for the Pythagorean Theorem, we get:
AB^2 + AC^2 = (√(10.2^2 + 4.9^2))^2
Simplifying this equation, we get:
AB^2 + AC^2 = 10.2^2 + 4.9^2
This equation is already in the correct form, so we can solve for ∠ACB directly:
∠ACB = tan^-1(AC/AB)
Substituting in the given values for AC and AB, we get:
∠ACB = tan^-1(4.9/10.2)
Using a calculator, we find that tan^-1(4.9/10.2) is approximately equal to 26.7°.
Rounded to 3 significant figures, this value is 26.7°.
determine if the line integral of the vector field sketched in the figure along the curve c is positive, negative, or zero.
The line integral of the vector field in the figure is zero. This is due to the fact that the vector field is perpendicular to the curve c, and therefore, the integral of the dot product of the vector field and the tangent vector along the curve c is zero.
1. The line integral of a vector field is the integral of the dot product of the vector field and the tangent vector of the curve along the curve.
2. The vector field in the figure is perpendicular to the curve c.
3. The dot product of two perpendicular vectors is zero.
4. Therefore, the integral of the dot product of the vector field and the tangent vector along the curve c is zero.
5. Hence, the line integral of the vector field in the figure is zero.
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A motorboat is capable of traveling at a speed of 10 miles per hour in still water. On a particular day, it took 15 minutes longer to travel a distance of 6 miles upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that day?
The rate of current in the stream on that day is; 2 miles per hour
What is the rate of speed?
When dealing with relative velocity, we can say that;
When the motorboat travels downstream, then it means the total velocity will be;
Total velocity = Velocity of the motorboat in still water + Velocity of the stream.
If the motorboat travels upstream, the total velocity will be;
Total velocity = Velocity of the motorboat in still water - Velocity of the stream.
Thus,
Upstream speed = (14 mi/h - S)
Downstream speed = (14 mi/h + S)
Where;
S is the rate of current in the stream.
We are told that going downstream, it takes 15 minutes more to travel 12 miles, then we can write the system of equations as;
(14 mi/h + S)*T = 12 mi
(14 mi/h - S)*(T - 15 min) = 12 mi
Making T the subject in the first equation gives;
T = (12 mi)/(14 mi/h + S)
Plugging in (12 mi)/(14 mi/h + S) for T in the second equation gives;
(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi
Multiply both sides by (14 mi/h + S) to get;
(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)
Since the speeds are in miles per hours, we can rewrite as:
- 15 min = -0.25 h
(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)
168 mi²/h - 12mi*S + 49mi²/h + 0.25h*S² = 168mi²/h + 12mi*S
- 12mi*S + 49mi²/h - 0.25h*S² = 12mi*S
-24mi*S - 0.25h*S² + 49mi²/h = 0
Solving this quadratic equation with online quadratic equation solver gives us; S = 2 mph
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Q(2, -4), R(-6, -8), S(-10, 2), T(-2, 6)
The Least Common Multiplier of [tex]$q(2-4), r(-6-8), s(-102), t(-26)$[/tex] is [tex]$-9282 q r s t$[/tex].
What is Least Common Multiplier ?
The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
Lowest Common Multiplier (LCM)
The LCM of a, b is the smallest multiplier that is divisible by both a and b
Factor [tex]$q(2-4): \quad-2 q$[/tex]
Factor [tex]$r(-6-8): \quad-2 \cdot 7 r$[/tex]
Factor [tex]$s(-102): \quad-17 \cdot 2 \cdot 3 s$[/tex]
Factor [tex]$t(-26): \quad-13 \cdot 2 t$[/tex]
Multiply each factor with the highest power:
[tex]$$-13 \cdot 17 \cdot 2 \cdot 3 \cdot 7 \cdot q \cdot r \cdot s \cdot t$$[/tex]
Simplify
[tex]$-9282 q r s t$[/tex]
Complete question: Find the Least Common Multiplier of Q(2, -4), R(-6, -8), S(-10, 2), T(-2, 6) is:
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The figure shows two vectors T⃗ and U⃗ separated by an angle θTU.You are given that T⃗ =(3,1,0), U⃗ =(2,4,0), and T⃗ ×U⃗ =V⃗ .1) Express V⃗ as an ordered triplet of values, separated by commas.2) Find the magnitude of V3) Find the sine of the angle between T⃗ and U⃗ .
The [tex]\vec{v}[/tex] as an ordered triplet of values, separated by commas is ( 0 , 0 , 10 )
The magnitude of V is 10 units.
The sine of the angle between [tex]\vec{T}[/tex] and [tex]\vec{U}[/tex] is [tex]45^{\circ}[/tex].
As per the given data the value of [tex]\vec{T}[/tex] is ( 3, 1, 0 ) and [tex]\vec{U}[/tex] is ( 2, 4, 0 )
Firstly we have to determine the value of [tex]\vec{v}[/tex].
The value of [tex]\vec{v}[/tex] is given by [tex]\vec T \times \vec U[/tex]
[tex]& v=\left|\begin{array}{lll}\hat{i} & j & \hat{k} \\3 & 1 & 0\\2 & 4 & 0\end{array}\right|[/tex]
[tex]=\hat{k}(12-2)[/tex]
[tex]=10 \hat{k}[/tex]
Therefore [tex]\vec{v}[/tex] = ( 0 , 0 , 10 )
Now we have to determine the value of magnitude of V.
Magnitude of V is represented by [tex]$|\vec{v}|[/tex]
[tex]$|\vec{v}|=\sqrt{100}[/tex]
[tex]$|\vec{v}|[/tex] = 10 units
Therefore the magnitude of V is 10 units.
Now we have to determine the value of sine of the angle between [tex]\vec{T}[/tex] and [tex]\vec{U}[/tex].
[tex]|\vec{v}|=|\tilde{T}||\tilde{U}| \sin \theta_{T U}[/tex]
[tex]\Rightarrow \theta_{T U}=\sin ^{-1}\left(\frac{|\vec{v}|}{|\vec{T}| |\vec{U}|}\right)[/tex]
[tex]=\sin ^{-1}\left(\frac{10}{\sqrt{200}}\right)[/tex]
[tex]=45^{\circ}[/tex]
Therefore value of sine of the angle between [tex]\vec{T}[/tex] and [tex]\vec{U}[/tex] is [tex]45^{\circ}[/tex]
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Help and explain to me how pls and thank you
The two sequence A and sequence B both are correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that triangle UVW and Triangle ABC are congruent.
A transformation is a way of changing the size or position of a shape.
Every point in the image is the same distance from the mirror line as the original shape.
Triangle UVW made a 180 degrees of rotation about point V and then a triangle along the directed line segment VB.
This is same as translation along the directed line segment UA then about 180 degrees rotation about point A.
Hence, the two sequence A and sequence B both are correct.
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11. Simplify the expression.
2x - 5(3x-4)
Answer:
Your answer is -13x + 20
Step-by-step explanation:
2x - 5*(3x - 4)
Discribute the -5.
2x + [ (-5)(3x) + (-5)(-4) ]
2x + [ (-15x +20) ]
2x - 15x + 20
- 13x + 20
Which of the following statements is true about similar triangles? *
A. The measurements of corresponding angles differ between the two triangles.
B. Their corresponding angles are congruent, and the corresponding sides are proportional.
C. If two triangles are similar, both their corresponding sides and angles are always congruent.
Two triangles are similar when their corresponding angles are congruent, and the corresponding sides are proportional. Hence, option C s the most appropriate answer to the given question.
When we are given triangles, we can prove that two triangles are similar to the given conditions by applying various tests of similarity.
Similar triangles are triangles that have the same shape, but they may have different sizes.
Hence, to prove them to be similar, we have to prove the corresponding angles are congruent and the corresponding sides are proportional. Hence, option C is the only right choice for the given question.
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What is the gradient of the
line that passes through the
points (0,0) and (3, 12)?
m=
Submit Answer
Answer:
4
Step-by-step explanation:
gradient = slope = m = rise / run
from the origin (0,0) this line rises '12' and has a run of '3'
12/3 = 4
ZA and ZB are vertical angles. If mA = (5x + 5)° and mZB = (6x − 8),
then find the value of x.
Answer:
x = 13
Step-by-step explanation:
vertical angles are congruent , then
∠ B = ∠ A , that is
6x - 8 = 5x + 5 ( subtract 5x from both sides )
x - 8 = 5 ( add 8 to both sides )
x = 13
32. Write a rule to represents the
function
(2, 10), (4, 20), (5, 25), (7, 35), (9, 45)
y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D
Use the graph to find the slope and write the equation of the line.
Answer:
The slope of the line is = 3/2
Answer:
Equation in Point Slope Form: y= 3/2x - 3
Step-by-step explanation:
Point slope form is y=mx+b
where m is the slope of the line (rise over run) which in this case is 3/2
b is the y intercept (where the line crosses the y axis) which in this case is at point (0,-3)
calculate the double integral. 3x sin(x + y) da, r = 0, π 6 × 0, π 3 r
The value of the double integral ∫∫3x sin(x + y) dA, R = [0, π/6] × [0, π/3] is 0.677
In this question we need to calculate the double integral. 3x sin(x + y) dA, R = [0, π/6] × [0, π/3]
i.e., to find ∫∫3x sin(x + y) dA, R = [0, π/6] × [0, π/3]
First we integrate the function 3x sin(x+y) as a function of y, treating the variable x as a constant.
G(x) = ∫_[0, π/6] (3x sin(x+y)) dy
G(x) = 0.402 xcos(x) + (3x sin(x) / 2)
Now we calculate the integral of the previous result as a function of x.
i.e., ∫_[0, π/3] G(x) dx
= ∫_[0, π/3] [0.402 xcos(x) + (3x sin(x) / 2)] dx
= 0.677
Therefore, the solution to the double integral. 3x sin(x + y) da, r = [0, π/6] × [0, π/3] is 0.677
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suppose a 90% confidence interval for the population mean resulted in an upper limit of $658 and a lower limit of $273. what is the correct interpretation of this confidence interval?
This confidence interval suggests that we are 90% confident that the population mean lies between $273 and $658.
This confidence interval provides us with an estimate of the population mean with 90% confidence. This confidence interval suggests that we are 90% confident that the population mean lies between $273 and In other words, we can be 90% sure that the population mean falls within this range. This confidence interval does not tell us the actual population mean, but it provides us with an estimate of where the population mean is likely to lie. Furthermore, it also provides us with an indication of the degree of uncertainty associated with our estimate.
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Плиз сделайте даю 20 баллов
Answer:
sorry I don't know now how to read
Someone needs help with my homework, help me! Can you fill in the blinks of Angle chase?
Answer:
Solution in picture.
Step-by-step explanation:
A triangle has three angles which adds up to 180°.
First do the easy ones such as 90°. Then the Triangle. Then the vertical angles. Then the two angles of supplementary angles which adds up to 180°. Etc.
Angles 1 and 7 are what type of angles?
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles
Help Quickly Please!!!
Answer:
B. Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They have the same degree. So the answer is B
Fred works for $11.25 per hour. His regular hours are 40 hours per week and he gets time and a half for overtime. One week he works 48.5 hours. He wants to calculate his pay. Complete the table.
rate: $11.25, regular hours:--------------, overtime: N/A, total: $----------
rate: $--------, regular hours: N/A, overtime: ---------, total: $----------
gross: $----------
Fred's pay for the specified week, with a rate of $11.25 for regular hours and time and a half for overtime, and number of hours worked of 48.5 hours is presented by completing the attached table as follows;
Rate: $11.25, regular hours: 40, overtime: N/A, total: $450
Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375
Gross: $593.4375
What is a payment rate?A payment rate is the amount of payment or money that is received in a unit of time.
The amount Fred earns per hour = $11.25
The number of regular hours Fred works per week = 40
The rate at which he is paid for overtime = Time and a half
The number of hours Fred works in the specified week = 48.5 hours
Therefore, the amount Fred earns for working overtime = 1.5 × $11.25 = $16.875
The amount Fred earns for regular hours during the specified week = 40 × $11.25 = $450
The number of overtime hours Fred works for during the week = 48.5 - 40 = 8.5
The amount Fred earns for the overtime work = 8.5 × $16.875 = $143.4375
Fred's gross payment for the week is therefore; $450 + $143.4375 = $593.4375
The table can therefore be completed by plugging in the above values as follows;
Rate: $11.25, regular hours: 40, overtime: N/A, total: $450
Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375
Gross: $593.4375
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