The spread of the sampling distribution of x is smaller than the spread of the corresponding population distribution sampling distribution.
In the given question,
We have to find the spread of the sampling distribution of x is............... the spread of the corresponding population distribution sampling distribution.
As we know that,
The size of the sample as well as its dispersion affect the sampling distribution's spread. We calculate the sampling distribution's spread as the population's standard deviation divided by the sample size's square root.
So, the spread of the sampling distribution of x is smaller than the spread of the corresponding population distribution sampling distribution.
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The right question is
The spread of the sampling distribution of x is .......... the spread of the corresponding population distribution sampling distribution.
larger than
smaller than
the same as
exactly 1/2
(04.04 MC)
Which of the following is a linear function? (1 point)
O y = 3x²
Oy
y =
1
3x
Oy=x³+5
○ 3x-y-1
3
The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.
What is linear function?A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.
Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.
Option A:
In the function y=3x², the highest degree is 2, so it is quadratic function.
Option B:
The function y=1/3x is not a linear function.
Option C:
In the function y=x³+5, the highest degree is 3, so it is cubic function.
Option D:
In the function 2/3 x=y-1, the highest degree is 1, so it is linear function.
The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1700. The law firm assigned a total of 14 lawyers to the case and was able to charge the client $19300 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
The Number of Associates and Number of Partners assigned to the case by the law firm is 5 and 9 respectively. We can solve this by using the concept of Linear Equation.
Given that,
Daily rate charged to the client for each Associate = $ 800
Daily rate charged to the client for each Partner = $ 1700
Let number of Associates assigned to case = X
And number of Partners assigned to case = Y
So, According to Question
X + Y = 14 ----(1)
800X + 1700Y = 19300 ---(2)
From the equation (1) , Y = 14 – X
Substituting the value of Y into equation (2) we get,
800X + 1700(14-X) = 19300
800X + 23800 – 1700X = 19300
23800 – 900X = 19300
23800 – 19300 = 900X
4500=900X
4500/900 = X
X = 5
Put the value of X into equation (1),
5 + Y = 14
Y = 14 -5
Y = 9
So we let the number of Associates assigned to case X and number of partners assigned to case Y and the value of X is 5 and Y is 9 .
Hence the number of Associates assigned to the case is 5 and the number of Partners assigned to the case is 9.
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45= |b-12| Solve for all values of b in simplest form.
The value of b after solving the expression 45= |b-12| is 57 or -33
Given,
The algebraic expression; 45= |b-12|
Algebraic expression;
An algebraic expression is an equation made up of variables and arithmetic operations like multiplication and division.
We are aware that the encoding of a modulus sign as a rand absolute value with two values a value, either positive or negative.
Here,
45= |b-12|
45 = ± (b - 12)
Solve for;
b = 45 + 12
b = 57
Solve for;
b = - 45 + 12
b = - 33
Therefore,
The value of b after solving the expression 45= |b-12| is 57 or -33
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At TechMasters Inc., 80% of employees’ computers have been updated to a new operating system. The company plans to update an additional 25 computers, at which point 85% of employees’ computers will have been updated. After this point, how many employees’ computers remain to be updated to the new operating system? (Note: assume each employee uses only a single computer, and that no computer belongs to more than one employee.)
The percentage is the measure of the portion of a quantity present in the whole. The remaining computers are 75.
What is Percentage ?
Percentage of quantity is proportional to its portion or fraction in a whole.
To convert the percentage into fraction divide the percentage value by 100.
Suppose the total number of employee's computer be x.
Then, as per the question after adding 25 more computers, the following equation can be written,
85% of x = 80% of x + 25
=> 85x/100 = 80x/100 + 25
=> 85x/100 - 80x/100 = 25
=> 5x/100 = 25
=> x = 500.
The remaining computers are given as
15% of x = 15/100 × 500
= 75
Hence, the number of remaining employee's computer after adding 25 more computers are 750.
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Conider the line 3x6y=-8 find the equation of the line that i perpendicular to thi line and pae through the point (-6,-3) find the equation of the line that i parallel to thi line and pae through the point (-6,-3)
The equation of the line perpendicular to the line 3x - 6y = - 8 is y = - 2x - 15 and of line parallel to the line 3x - 6y = - 8 is y = x/2.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is a line 3x - 6y = - 8.
We have -
3x - 6y = - 8
3x = 6y - 8
6y = 3x - 8
y = x/2 - 4/3
For a parallel line -
slope = 1/2
y = x/2 + c
for the point (- 6, - 3), we can write -
-3 = -6/2 + c
-3 = -3 + c
c = 0
Equation : y = x/2
For a perpendicular line -
y = - 2x + c
for the point (- 6, - 3)
- 3 = - 2 x - 6 + c
- 3 = 12 + c
c = - 15
Equation : y = - 2x - 15
Therefore, the equation of the line perpendicular to the line 3x - 6y = - 8 is y = - 2x - 15 and of line parallel to the line 3x - 6y = - 8 is y = x/2.
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What is different about synthesis of lagging strand
compared to synthesis of the leading strand?
A) synthesis of leading strand does not occur in 5*...
The difference between lagging strand and leading strand based on DNA replication is.
What is DNA?
DNA stands for deoxyribonucleic acid.
Main body:
The major difference between a lagging and leading strand is that the lagging strand replicates discontinuously forming short fragments, whereas the leading strand replicates continuously. Find out more such differences between a lagging and leading strand, in the table below.
Lagging Strand
Description:
The strand that opens in the 3’ to 5’ direction towards the replication fork is referred to as the lagging strand.The strand is replicated discontinuously.Short stretches called okazaki fragments are formed during replication.Each fragment requires its own set of primers.It requires DNA ligase enzymes for the joining of short okazaki fragments.It grows away from the replication fork.The synthesis of new strands is slow.Leading Strand
Description:
The strand that runs in the 5’ to 3’ direction in the replication fork is referred to as the leading strand.The strand is replicated continuously.No short fragments are formed.It requires only one primer.It does not require DNA ligase.It grows in the direction of the replication fork.The synthesis of new strands is fast.Therefore the difference between lagging strand and leading strand are as follows.
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Pls help with this question
Answer:
x=-1
Step-by-step explanation:
5x+6=1
5x=-5
x=-1
hopes this helps please mark brainliest
negative 3/4x-1=14 what does x stand for
Answer:
20
Step-by-step explanation:
add 1 to both sides
3/4x=15
multiply both by 4
3x=60
divide by 3
x=20
Area of a Triangle Practice Find the area of each
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount owed by the debtor is $10865
How to determine the amount owed in six years?The given parameters about the compound interest are
Principal Amount, P = $5300
Interest Rate, R = 8%
Time, t = 6 years
To calculate the amount owed, we make use of the following formula
A = P + CI
Where
Compound interest, CI = P(1 + R)^t - P
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
In this question, the formula is given as
A = P(1 + r/n)^nt
Where
n = 12, i.e compounded monthly
Substitute the known values in the above equation
A = 5300 * (1 + 8%/12)^(6*12)
Express 8% as decimal
A = 5300 * (1 + 0.08/12)^(6*12)
Evaluate the sum
A = 5300 * (1.01)^(6*12)
Evaluate the exponent
A = 5300 * 2.05
Evaluate the product
A = 10865
Hence, the value of the amount after 6 years is $10865
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What is the number if
15% of 500 is equal to 7.5% of the number
If 15% of 500 is equal to 7.5% of the number, the number is equals to 1000.
How to find the number with it given percentage?In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.
Therefore, let's find the number if 15% of 500 is equal to 7.5% of the number.
Let
x = the number
Hence,
15% of 500 = 7.5% of x
15 / 100 × 500 = 7.5 / 100 × x
75 = 7.5x / 100
cross multiply
7500 = 7.5x
divide both sides by 7.5
x = 7500 / 7.5
x = 1000
Therefore, the number is 100.
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(-3,5), (6,5)
what is the point slope form of equation of the line
The equation of the line passing through the points (-3,5) and (6,5) is y = x/9 + 13/3 .
In the question ,
it is given that ,
the required line passes through the points (-3,5) and (6,5) ,
we need to find equation of line ,
to find the equation , we first need to calculate the slope (m) .
slope(m) = (6-5)/(6-(-3))
= 1/9
So , the equation of the line passing through the point (6,5) with slope 1/9 in point slope form is
(y - 5) = 1/9(x - 6)
9(y - 5) = 1(x - 6)
9y - 45 = x - 6
9y = x - 6 + 45
9y = x + 39
y = x/9 + 39/9
y = x/9 + 13/3
Therefore , The equation of the line passing through the points (-3,5) and (6,5) is y = x/9 + 13/3 .
The given question is incomplete , the complete question is
What is the equation of the line in the point slope form passing through the points (-3,5) and (6,5) ?
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Write an equation of the line that pass though the point (-3,-7) and has a slope of 2
Answer: 2 abd the answer is that
Step-by-step explanation:
Bushels of apples cost $7.95 at farmer's market. How much would 8 bushels of apples cost? Use mental math.
A. $63.60
B. $56.20
C. $63.20
D. $56.60
The 8 bushels of apples cost is $63.60 i.e, option(A.)
What do you mean by Cost ?
The amount or equivalent paid or charged for something.The relation between cost, rate and numberCost (c) : is the total cost of the purchase.
Rate (r) : is the cost of each individual item.
Number (n) : is the number of items you want to purchase.
These are related in the following way:
c = n * r
Given,
Bushels of apples cost = $7.95
8 bushels of apples cost will be = $7.95 * 8
= $63.6 or $63.60
Hence, the 8 bushels of apples cost is $63.60 i.e, option(A.)
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40 ahletes are surveyed it is found that 30 athletes play tennis and 10 play gold 5 play both. what is the probability an athlete plays golf or tennis but not both?
The probability an athlete plays golf or tennis but not both = 0.75
Probability:The ratio of favorable outcomes to all possible outcomes of an event is known as probability.
The formula to calculate the probability of an event is given by
Probability(E) = Favorable Outcomes/Total Outcomes
Here we have 40 athletes,
Number of athletes who plays both tennis and golf = 5
Number of athletes who plays tennis = 30
=> Number of athletes who plays only tennis = 30 - 5 = 25
Number of athletes who plays golf = 10
Number of athletes who plays only golf = 10 - 5 = 5
From the above calculations,
Number of athletes who plays tennis or golf but not both = 25 + 5 = 30
Probability that athletes play golf or tennis but not both = 30/40 = 0.75
Therefore,
The probability an athlete plays golf or tennis but not both = 0.75
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HELP its growth and decay question
Population in 2011 is 361.606 million, Population in 2025 is 438.094 million, Year when population will be 2 billion is 2136
What is Function?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
Given the function of the population = P(t) = 3111(1+0.0138)^t
1. Population of Indonesia in 2011
= P(11) = 311 (1.0138)^11
= P(11) = 361.606 million
2. Population of Indonesia in 2025
= P(25) = 311 (1.0138)^25
= P(25) = 438.094 million
3. Year when population is 2 billiion
2000 million= 311(1.0138)^x
x = 136 years approx. i.e. 2136
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Help please get it right you will get branly
PLEASE help, I've been trying to get this for like an hour.
The solution of the equation is (-2, 3) and to eliminate x we have to multiply equation(i) by 3 and multiply equation(ii) by 4.
How to solve system of equation by elimination method?System of equation can be solved using different method such as elimination method, substitution method and graphical method,
Let's use elimination method to solve the system of equation.
Therefore,
4x + 5y = 7
3x - 2y = - 12
Multiply equation(i) by 3 and equation(ii) by 4 to eliminate x.
Hence,
12x + 15y = 21
12x - 8y = - 48
Subtract the equations
23y = 69
y = 69 / 23
y = 3
Hence,
4x = 7 - 5y
4x = 7 - 5(3)
4x = 7 - 15
4x = -8
x = -8 / 4
x = -2
Therefore, the solution is (-2, 3)
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How do I solve this problem 4i)(-8i)(5 + 5i)
Answer:
Step-by-step explanation:
(4i)·(-8i)·(5+5i) = 160+ 160i
We take into account that (i)² = -1
1)
(4i)·(-8i) = (-32)·i² = (-32)·(-1) = 32
2)
32·(5 + 5i) = 32·5 + 32·(5i) = 160 + 160 i
8k^4 -3k^2 multiplied by 5k^2
Answer: 40k⁶-15k⁴
Step-by-step explanation:
[tex](8k^4-3k^2)(5k^2)=\\\\8k^4(5k^2)-3k^2(5k^2)=\\\\8(5)(k^{4+2})-3(5)(k^{2+2})=\\\\40k^6-15k^4[/tex]
Result of [tex]8k^{4} -3k^{2}[/tex] multiplied by [tex]5k^{2}[/tex] is [tex]40k^{6}-15 k^{4}[/tex]
Algebra and Exponent
To answer this question you need to know about algebra and exponent rule.
[tex]8k^{4} -3k^{2}[/tex] multiplied by [tex]5k^{2}[/tex]
It means the operation will become:
[tex]5k^{2} (8k^{4} -3k^{2} )=[/tex]
First, [tex]8k^{4} -3k^{2}[/tex] can't be calculate because of different variable. Even though they both use the letters '[tex]k[/tex]', [tex]k^{4}[/tex] dan [tex]k^{2}[/tex] cannot be added because they have different powers. In algebraic addition, addition can only be done on the same variables and which have the same power.Because [tex]8k^{4} -3k^{2}[/tex] can not be calculated, then we directly calculate the multiplication [tex]5k^{2} (8k^{4} -3k^{2} )[/tex]The way to calculate algebraic multiplication with 2 or more variables is the way I call 'rainbow'.
[tex]5k^{2} (8k^{4} -3k^{2} )=[/tex]
[tex]5k^{2}[/tex] multiplied by [tex]8k^{4}[/tex], [tex]5k^{2}[/tex] multiplied by [tex]-3k^{2}[/tex] first, then the two are added.
Let's multiply one by one first[tex](5k^{2}) (8k^{4} )=[/tex]
The way to multiply this is by: numbers multiplied by numbers and letters multiplied by letters
[tex]=5k^{2} (8k^{4} -3k^{2} )\\=((5)(8))((k^{2} )(k^{4} ))\\=40((k^{2} )(k^{4} )[/tex]
Then how to multiply the letters, this uses the rule of exponents. If there are 2 same variables are multiplied, then the result is a variable with the power of the sum of the two powers.
[tex]a^{m} a^{n} =a^{m+n}[/tex]
Which means,
[tex]k^{2}k^{4} =k^{6}[/tex]
Then,
[tex]=5k^{2} (8k^{4} -3k^{2} )\\=((5)(8))((k^{2} )(k^{4} ))\\=40((k^{2} )(k^{4} )\\=40k^{6}[/tex]
Also same with above,
[tex]=(5k^{2} )(-3k^{2} )\\=((5)(-3))((k^{2} )(k^{2} )\\=-15k^{4}[/tex]
Add the result of two operation above[tex]=5k^{2} (8k^{4} -3k^{2} )\\=((5k^{2})(8k^{4})+((5k^{2})(-3k^{2})\\=(40k^{6})+(-15k^{4} )\\=40k^{6}-15k^{4}[/tex]
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The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $14 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Help ASAP!
Inequality which shows the number of phone calls in order to make Plan 1 more economical is, x> 375.
It means if customer calls for more than 375 times Plan 1 is more economical for him/her.
Given that Plan 1 offers unlimited calls against $29 per month.
and Plan 2 offers each call against $0.04 and with an adiditional charge $14 per month.
Let if there are x calls in a month then Plan 1 is more economical.
Plan 1 is more economical means Plan 1 costs the customer less than the Plan 2.
So for x calls the bill according to Plan 2 = 14 +0.04x
And the charge $29 fixed for Plan 1.
So the required inequality is,
14+0.04x > 29
Solving the inequality we get,
0.04x > 15
.x > 375
So the calls should be more than 375.
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PLEASEE HELP JUST DO 4-9 I REALLY NEED HELP THANKS! FOR 50 POINTS
Answer:
4. d = 4
5. d = 8.8
6. d = 6
7. d = 10
8. d = 3
9. d = 1
Step-by-step explanation:
4. (-5, 2), (-5, 6)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-5 - (-5))² + (6 - 2)²
d = √(-5 + 5)² + (4)²
d = √(4)²
d = √16
d = 4
5. (4.5, -3.3), (4.5, 5.5)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(4.5 - 4.5)² + (5.5 - (-3.3)²
d = √(0)² + (5.5 + 3.3)²
d = √(8.8)²
d = √77.44
d = 8.8
6. ((5(1/2), (-7(1/2)) and ((5(1/2), (-1(1/2))
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(11/2) - (11/2)² + (-3/2) - (-15/2))²
d = √(d)² + ((-3/2) + (15/2)²
d = √(6)²
d = √36
d = 6
7. (-2(1/4)), -8) and (7(3/4), -8)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(31/4) - (-9/4))² + (-8 - (-8))²
d = √(31/4) + (9/4))² + (-8 + 8)²
d = √(10)²
d = √100
d = 10
8. (5(1/4)), (-3(1/4) and ((5(1/4), (-6(1/4))
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(21/4) - (21/4))² + (-25/4) - (-13/4))²
d = √(-25/4) + (13/4))²
d = √(-3)²
d = √9
d = 3
9. (-1(1/2)), (-6(1/2) and ((-2(1/2), (-6(1/2))
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-5/2) - (-3/2))² + (-13/2) - (-13/2))²
d = √(-5/2) + (3/2))²
d = √(-1)²
d = √1
d = 1
I hope this helps!
∠A and \angle B∠B are upplementary angle. If \text{m}\angle A=(7x-12)^{\circ}m∠A=(7x−12)
∘
and \text{m}\angle B=(7x-18)^{\circ}m∠B=(7x−18)
∘
, then find the meaure of \angle A∠A
If the angle A and angle B are supplementary then the measure of angle A is = 93° .
In the question ,
it is given that
the two angles A and B are supplementary ,
we know that when two angles are supplementary their sum is 180° .
So , the sum of measure of angle A and angle B will be 180° ,
that is ,
given that measure of angle A = (7x - 12)°
measure of angle B = (7x - 18)°
So , according to the question ,
(7x - 12) + (7x - 18) = 180°
7x + 7x - 12 - 18 = 180
14x - 30 = 180
14x = 180 + 30
14x = 210
x = 210/14
x = 15
So , the measure of angle A = (7*15 - 12) = 105 - 12 = 93°
Therefore , If the angle A and angle B are supplementary then the measure of angle A is = 93° .
The given question is incomplete , the complete question is
Angle A and angle B are supplementary angle. If angle A = (7x - 12)° and angle B = (7x - 18)° , then find the measure of angle A ?
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line in the graph is -3/4
Slope of a LineThe slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
Taking two points from the line;
Point A = (0, 3)Point B = (4, 0)The slope of a line is given as
m = y₂ - y₁ / x₂ - x₁
Substituting the values into the formula;
m = 0 - 3 / 4 - 0
Slope = -3/4
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a landscaper is designing a rectangular garden. the length of the garden is to be 555 feet longer than the width. if the area of the garden will be 104104104 square feet, what will be the length, in feet, of the garden?
Area of rectangle is the product of Length and Width, so by using this the length of garden will be 13 feet.
What exactly is a rectangle?The parallel sides of a rectangle are equal to one another, and each of its four vertices is 90 degrees, making it a type of quadrilateral. As a result, it is also referred to as an equiangular quadrilateral. The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
suppose x = width of rectangular garden.
length of the garden is 5 feet longer than width.
now, x+5 = Length
Area of rectangle L X B = [tex]x X(x+5)[/tex]
Garden's area is = 104 square feet
Then,
[tex]x X (x +5) = 104\\x^{2} + 5x - 104=0\\(x-8)(x+13)=0\\x=8,-13[/tex]
Now, width ==8
Therefore, Length = x+5= 13
13feet is the length of the garden.
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Find the sum of these polynomials (x^2-x+8)+(10x^2+7)
Answer:
11x^2 - x + 15
Step-by-step explanation:
x^2-x+8+10x^2+7 =
= 11x^2 - x + 15
Javier is making a recipe that requires 160 milliliters of 40% pure fruit juice. He has a 25% pure fruit juice solution and a 50% pure fruit juice solution.
How many milliliters of each solution should he mix to obtain the needed solution?
Answer:
64 milliliters of 25% juice
96 milliliters of 50% juice.
Step-by-step explanation:
Answer:
96 mL of the 50% juice
64 mL of the 25% juice
Step-by-step explanation:
Declaration
Let the number of mL of 25% juice = x
Let the number of mL of 50% juice = y
Equations
25/100 * x + 50/100 y = 40/100 * 160 Combine
x + y = 160 mL
Solution
0.25x + 0.5y = 0.4 * 160
0.25x +0.5y = 64 Multiply this equation by 4
0.25*4x + 0.5*4y = 64*4 Combine
x + 2y = 256 Put the first equation underneath and subtract
x + 2y = 256
x + y = 160 Subtract
y = 96 mL of 50% fruit juice
x + y = 160
x + 96 = 160 Subtract 96 from both sides.
x + 96 - 96 = 160-96
x = 64 mL of the 25% fruit juice.
josh goes to a bank and cashes a $250 check. he receives 16 bills consisting of all $20 bills and $10 bills. how many of each kind are there?
Answer:
9 = 20
7 = 10
Step-by-step explanation:
Here is a child's wooden block. Calculate the area and perimeter of the shape. Use 3.14 for .
\
a. What is the perimeter of this figure, to the nearest centimeter?
b. What is the area of this figure, to the nearest square centimeter
Answer:
Step-by-step explanation:
a; i
b; i
1. For each pair of fractions, decide which fraction is larger. Explain using one of these strategies: common denominator, common numerator, compare to 1, or
compare to 1/2.
a. 5/6 or 5/7
b. 3/4 or 9/10
c. 2/9 or 5/9
d. 2/8 or 5/9
2. A student says, "3/5 is smaller than 1/2 because 3/5 is 2 pieces away from a whole but 1/2 is only 1 piece away." Is the student's reasoning correct? Explain.
Please help me I also upload a picture so you can use that if needed
For each pair of fractions, following fraction is larger
a) 5/6 > 5/7
b) 2/9 < 5/9
c) 3/4 < 9/10
Define fraction.An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given,
Fraction:
a) 5/6 or 5/7
Taking LCM,
LCM = 42
5/6 × 7/7
35/42
5/7 × 6/6
30/42
5/6 > 5/7
b) 2/9 or 5/9
They have same denominator,
So,
2/9 < 5/9
c) 3/4 or 9/10
Taking LCM:
LCM = 20
3/4 ×5/5
15/20
9/10 × 2
18/20
3/4 < 9/10
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