The 99% confidence level produces the most comprehensive interval due to the increase in critical value.
99%, because, as the level of confidence increases, zc increases.
The level of confidence is the probability that actual value will fall in the confidence interval determined using sample statistics. As the probability increases, the area (middle part) under the curve expands, which results in increasing the critical value(zc) that determines the acceptance region.
The increase in the critical value results in increasing the margin of error, which defines the confidence interval's spread from the mean value of the distribution.
Hence, the 99% confidence level produces the most comprehensive interval due to the increase in critical value.
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What are each step of the formula for a area of a trapezoid to find b2.
Answer:
Step-by-step explanation:
Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
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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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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Solve |x-5| + 7 = 15.
Answer:
C. x = 13 or x = -3
Step-by-step explanation:
|x - 5| + 7 = 15
|x - 5| = 8
x - 5 = 8 or x - 5 = -8
x = 13 or x = -3
Answer: C. x = 13 or x = -3
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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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
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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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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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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A student correctly draws a square with side lengths of 4 centimeters. Which statement about the resulting figure is true?
A. The figure has three 45°
angles and exactly one pair of parallel sides.
B. The figure has three 90° angles and exactly one pair of parallel sides.
C. The figure has four 60°
angles and exactly two pairs of parallel sides.
D. The figure has four 90°
angles and exactly two pairs of parallel sides.
D) The figure has four 90° angles and exactly two pairs of parallel sides.
What is parallel sides?In geometry, parallel lines are two lines that exist in the same plane, are equally spaced apart, and never cross one another. There is a range of possible shapes, both horizontal and vertical.
Zebra crossings, stacks of notebooks, and the nearby railroad tracks are just a few places where parallel lines can be observed. The distance between two parallel lines at their perpendicular intersections is constant.
Different shapes' sides go parallel to one another. The single arrow lines in the rectangle below are parallel to one another, and the double arrow lines are also parallel to one another.
The symbol for parallel lines is ||, which consists of two vertical lines placed between the names of the lines.
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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
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.
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)
Three sons inherited 2,179 ducats from their father. The father bequeathed the older brother 2 times more money than the younger one. At the same time, the middle brother should receive more than the younger one, but less than the older one. How many ways are there to fulfill the will of the father, if each son must receive a whole number of ducats?
Three sons inherited 2,179 ducats from their father. The number of ways the father can bequeath the resources is
108 waysHow to find the number of ways of fulfilling the fathers wishInformation from the problem helped in generating the following equations
The father bequeathed the older brother 2 times more money than the younger one
let the youngest receive an amount equivalent to y
then the eldest will receive 2y
let the middle receive x
Using the sharing formula described we have
y + 2y + x = 2179
3y + x = 2179
the middle brother should receive more than the younger one, but less than the older one
x > y
x < 2y
plotting the equations on a graphing calculator and getting the solutions we have
(544.75, 544.75) and (871.6, 435.8)
y ranges from 435.8 to 544.75 using whole numbers
436 to 544
The number of ways
= 544 - 436
= 108 ways
the number of ways of sharing according to fathers will is 108
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Melia get paid $40 for mowing her neighbor' lawn. She pend $16 on a bracelet and $7 on lunch. Which equation i written and olved correctly to how how much money (m) Melia ha left?
The equation written is m + 16 + 7 = 40 and the amount of money Melis has left is $17.
As mentioned, assuming the amount of money left be m. Sum of left money and spent money will be equal to earned amount of money. Representing this as equation -
m + 16 + 7 = 40
Performing addition on Left Hand Side of the equation
m + 23 = 40
Rewriting the equation
m = 40 - 23
Performing subtraction on Right Hand Side of the equation
m = 17
Thus, Melia is left with $17 from her earnings.
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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
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?
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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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°.
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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tell me about the relationship between first floor square footage (1stflrsf; column o) and sale price. what is the r-squared?
The Pearson correlation coefficient (r) is used to discover styles in matters while the coefficient of determination (R²) is used to discover the electricity of a model.
R-Squared is a statistical degree of healthy that suggests how a good deal version of a established variable is defined through the unbiased variable(s) in a regression version.Interpretation of R-squared/Adjusted R-squared.
R-squared measures the goodness of healthy of a regression version. Hence, a better R-squared suggests the version is a great healthy even as a decrease R-squared suggests the version isn't an awesome healthy.
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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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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
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?
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
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.
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
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.