Answer:
yes
Step-by-step explanation:
yes
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use μemployed − μnot employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
Sample Size Mean GPA Standard Deviation
Students Who
Are Employed 172 3.22 0.475
Students Who
Are Not Employed 116 3.33 0.524
t =
df =
P =
Does this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed? Use a significance level of 0.05.
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed
The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 3.22
μ2 = 3.33
s1 = 0.475
s2 = 0.524
n1 = 172
n2 = 116
t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)
t = - 1.81
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878
df = 230
We would determine the probability value from the t test calculator. It becomes
p value = 0.036
Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.
Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed
The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
Answer:
(8, 6)
Step-by-step explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).
Mikayla worked the same number of hours each day for 4 days during one week. She worked less than 20 hours total for that week. Which graph represents the number of hours per day she could have worked? (Assume the number of hours is greater than 0.)
A number line going from 0 to 10. An open circle is at 5. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 5. Everything to the right of the circle is shaded.
A number line going from 11 to 21. An open circle is at 16. Everything to the left of the circle is shaded.
A number line going from 11 to 21. An open circle is at 16. Everything to the right of the circle is shaded.
Answer:
it is d
Step-by-step explanation:
idk just brainlyest
Answer:
D...............
Step-by-step explanation:
What is the formula for slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
The formula for slope-intercept form is attached below.
I have drawn this on my whiteboard.
In this equation, the m represents slope
and the b represents the y-intercept.
Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62, your retirement benefits will be permanently reduced by 25%. If your monthly benefit, at full retirement age (67), would have been $1300 per month, and you retire at age 62, how much would you lose in total annual income over one year?
Answer:
$3900.
Step-by-step explanation:
If retirement is taken at the age of 67 years, income = $1300 per month.
% Loss, if retirement taken at the age of 62 years = 25% per month
Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years
[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]
We know that there are 12 months in an year.
So, annual loss in total annual income over one year:
Loss in dollars per month [tex]\times[/tex] 12 :
325 [tex]\times[/tex] 12 = 3900$
Answer: $3,900
Step-by-step explanation:
What you usually make:
$1300 * 12 months = $15600
What you make with the cut:
$1300 * 0.75 = $975
* 12 months = $11700
15600-11700 = $3900
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?
Answer:
$2680
Step-by-step explanation:
3.00-1.50= 1.50 profit per hotdog
1200+800=2000 expenses
1.50 (3120) = 4680
4680-2000=
2680 in profit
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
A horizontal translation will move the first triangle a little to the right and then after the vertical translation the triangle will move downwards and will fit into the other triangle thus we will know that the two triangles are congruent.
Find the area of the quadrilateral SHOW WORK
Answer:
area of parallelogram= length of base × perpendicular height
8.7×4.9
= 42.63mm²
Every hour the number of users of a new smartphone app increases by 18 percent. At 1:00 p.m., there were 12,322 users. What exponential equation shows the number of users' x hours after 1:00 p.m.?
Answer:
B
Step-by-step explanation:
Y is the starting point so it would be y=12322 and it becomes 1.18 because you add 100 to 18
The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ. Option A is correct.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The number of users of a new smartphone app increases by % = 18
a is the number of users at 1:00 p.m = 12,322
The exponential equation shows the number of users x hours after 1:00 p.m. is;
y=a(z)ˣ
Where,
a is the initial value
z is the percentage increment
y is the number of users after the given period
If the initial value of the percentage is 100.The value after the given time;
z = 100 + 18
z = 118
The z in the percentage form is 1.18.
The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ.
Hence, option A is correct.
To learn more about percentages, refer to:
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Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
The cost of 2 magnets is $1.
The cost of 9 magnets is $3.
The cost of 10 magnets is $3.
The cost of 4 magnets is S2
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Answer:
The true statements are:
The cost of 9 magnets is $3.
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Step-by-step explanation:
equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:
if the cost of 9 magnets is $3;
9 magnets = $3
∴ 1 magnet = 3/9 = $ 1/3 = 1:3
if the cost of 6 magnets is $2;
6 magnets = $2
1 magnet = 2/6 = $1/3 = 1:3
if the cost of 3 magnets is $1;
3 magnets = $1
∴ 1 magnet = $ 1/3 = 1:3
From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.
3 2/3+2.3 repeating
Answer:
6.
Step-by-step explanation:
2.3 repeating = 2 1/3
So 3 2/3 + 2 1/3
= 5 + 1
= 6.
Answer: 6
Step-by-step explanation:
[tex]3\frac{2}{3}+2.3^-[/tex]
Let's begin by converting the repeating decimal to a fraction and then to a mixed number.
Take the number:
[tex]2.3^-[/tex]
Let x (our result) be equal to that number.
[tex]x=2.3^-[/tex]
Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.
[tex]10x=2.3^-*10[/tex]
This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.
[tex]10x=23.3^-[/tex]
Subtract this and the original equation ([tex]x=2.3^-[/tex])
[tex]10x=23.3^-\\-x=2.3^-[/tex]
-----------------
10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21
[tex]9x=21[/tex]
Divide by 9
[tex]x=\frac{21}{9}[/tex]
Simplify by 3.
21/3=7
9/3=3
[tex]x=\frac{7}{3}[/tex]
Now, convert to a mixed number. To do this, divide.
7/3=2
6
-------
1
The 2 is the whole number, 1 is the numerator and 3 the denominator.
[tex]2\frac{1}{3}[/tex]
------------------------------------------------------------------------------------------------
Now we can solve this;
[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]
Add the whole numbers and the fractions separately.
[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]
[tex]5\frac{3}{3}[/tex]
3 and 3 can be simplied.
3/3=1
3/3=1
[tex]5\frac{1}{1}[/tex]
The result is 1, add this to the 5.
[tex]5+1=6[/tex]
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
Answer
B. l and lV
Step-by-step explanation:
The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.
What is break-even point?The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.
To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:
Cost = Revenue
65.16n + 1,500 = 98.75n (for equation I)
32.59n = 1,500
n = 46.05
So the break-even point for equation I is 46.05 units.
Cost = Revenue
35.79n + 6,700 = 56.95n (for equation II)
21.16n = 6,700
n = 316.3
For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.
Cost = Revenue
65.16n + 1,500 = 56.95n (for equation IV)
8.21n = -1,500
n = -182.7
The negative value for n means that equation IV does not have a break-even point.
Cost = Revenue
35.79n + 6,700 = 98.75n (for equation III)
62.96n = 6,700
n = 106.2
The break-even point for equation III is 106.2 units.
Therefore, the pair of equations that will never break even is (d) I and IV.
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Your question seems incomplete, the probable complete question is:
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
a. I and III
b. II and IV
c. II and III
d. I and IV
A family uses two 500ml packets of
milk every day. How many litres do
they use in a month?
A. 2L
B. 20L
C. 281
D. 14L
MATHS
plzz help its timed ill give brainliest
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. (x + 8) (x + 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:
[tex]x^2 + 15x + 56[/tex]
[tex]x^2 + 7x + 8x + 56[/tex]
Group:
[tex](x^2 + 7x) (8x + 56)[/tex]
Take out the GCF (Greatest Common Factor):
x(x + 7) 8(x + 7)
(x + 8) (x + 7)
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface area of the ramp?
A triangular prism. The base has a length of 8 feet and height of 4 feet. A rectangular side has a base of 8 feet and height of 5 feet. Another rectangular side has a base of 8 feet and height of 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
68 square feet
96 square feet
108 square feet
114 square feet
Answer:
108 square feet
Step-by-step explanation:
When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.
So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.
Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:
A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet
Answer:
its C
Step-by-step explanation:
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\circ84 ∘ 84, degrees. The measure of \stackrel{\LARGE{\frown}}{GH} GH ⌢ G, H, start superscript, \frown, end superscript is 76^\circ76 ∘ 76, degrees. What is the measure of \angle HKJ∠HKJangle, H, K, J?
Answer:
100°
Step-by-step explanation:
The angle between chords is the average of the intersected arc angles.
∠FKJ = ½ (84° + 76°)
∠FKJ = 80°
∠HKJ is supplementary to ∠FKJ.
∠HKJ = 180° − 80°
∠HKJ = 100°
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test 148,102,152,what is the average of the extracted scores that are extreme values(outlier).
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: mark obtained in an aptitude test by a candidate.
This variable has a mean μ= 128.5 and standard deviation σ= 8.2
You have the data of three scores extracted from the pool of aptitude tests taken.
148, 102, 152
The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134
I hope this helps!
Which two whole numbers is √20 between?
Answer:4 and 5
Step-by-step explanation:
√(20) is approximately 4.5 so it is between 4 and 5
Josh types the 5 entries in the works cited page of his term paper in random order, forgetting that they should be in alphabetical order by author. What is the probability that he actually typed them in alphabetical order?
Answer:
0.83% probability that he actually typed them in alphabetical order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The number of ways in which n terms can be arranged is given by:
[tex]A_{n} = n![/tex]
Desired outcomes:
Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].
Total outcomes:
We want to arrange 5 entries. So
[tex]T = A_{5} = 5! = 120[/tex]
Probability:
[tex]p = \frac{D}{T} = 0.0083[/tex]
0.83% probability that he actually typed them in alphabetical order.
Solve.
A European swallow flies about 12 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly |
Answer:
It could fly 10,8 kilometers.
Step-by-step explanation:
The European swallow fly speed is 12 meters per second.
We have to calculate how many kilometers it could fly in 15 minutes.
This can be calculated using the equivalent factors for each of the units:
- 1 km is equivalent to 1,000 meters.
- 1 minute is equivalent to 60 seconds.
We know that the distance travelled by the fly is the product of the speed and the time, so we have:
[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answer:
C. 65
Step-by-step explanation:
Compare to the standard form ...
ax² +bx +c
to find the values of a, b, c. They are ...
a=2, b=3, c=-7
The discriminant is ...
d = b² -4ac
d = (3)² -4(2)(-7) = 9 +56
d = 65 . . . . . . matches choice C
The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?
Answer:
The center is (2,6) and the radius is 8
Step-by-step explanation:
The answer is center: (2,6); radius: 8
Math question please help
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected.
What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.
Answer:
3.125%Step-by-step explanation:
It is assumed the first winner is part of the second drawing as well
There are 4 people and two prizes
The probability of each person to win is 1/4
The first winner has 1/2 probability to get a mug
P(win and a mug) = 1/4*1/2 = 1/8 for AngThe second winner, if it is Jack, gets either prize
P(win and either prize) = 1/4The combined probability is:
1/8*1/4 = 1/32 = 0.03125 = 3.125%Answer:
The probability is 37.5%
Step-by-step explanation:
There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.
So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.
Also, “The monks named me aOng.”
A bag contains 1 red, 1 yellow, 1 blue, 1 green marbles. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble
Answer:
you have a 25% chance of picking any marbel
Step-by-step explanation:
you have 4 marbels and each is worth 25.
Answer:
Choosing green marble: 1/4
Choosing Red marble: 1/3
Step-by-step explanation:
The probability of choosing a green marble is 1/4, because out of the total marbles in the bag (4), there is only 1 green marble. YOU WILL NOT REPLACE IT in the bag, so now you have only 3 marbles left in the bag. Out of those 3 marbles only 1 is red. Thats why the probability of choosing red is 1/3
(10 points) Consider the initial value problem y′+3y=9t,y(0)=7. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) Solve your equation for Y(s). Y(s)=L{y(t)}=
Answer:
The solution
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]
Step-by-step explanation:
Explanation:-
Consider the initial value problem y′+3 y=9 t,y(0)=7
Step(i):-
Given differential problem
y′+3 y=9 t
Take the Laplace transform of both sides of the differential equation
L( y′+3 y) = L(9 t)
Using Formula Transform of derivatives
L(y¹(t)) = s y⁻(s)-y(0)
By using Laplace transform formula
[tex]L(t) = \frac{1}{S^{2} }[/tex]
Step(ii):-
Given
L( y′(t)) + 3 L (y(t)) = 9 L( t)
[tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
[tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
Taking common y⁻(s) and simplification, we get
[tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
Step(iii):-
By using partial fractions , we get
[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]
[tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]
On simplification we get
9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Put s =0 in equation(i)
9 = B(0+3)
B = 9/3 = 3
Put s = -3 in equation(i)
9 = C(-3)²
C = 1
Given Equation 9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Comparing 'S²' coefficient on both sides, we get
9 = A s²+3 A s +B(s)+3 B +C(s²)
0 = A + C
put C=1 , becomes A = -1
[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]
Step(iv):-
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]
Applying inverse Laplace transform on both sides
[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]
By using inverse Laplace transform
[tex]L^{-1} (\frac{1}{s} ) =1[/tex]
[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]
[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]
Final answer:-
Now the solution , we get
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How much was left over? ( hint 12 is the lowest common denominator)
(I put 1/4 but it said it was wrong:/) pls help h
Answer:
Pizza eaten together: 5/6,
Pizza left over: 1/6
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6
Answer:
How much did they eat all together? 5/6
How much was left over? 1/6
[tex] \\ [/tex]
Step-by-step explanation:
How much did they eat all together?
[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]
[tex] \\ [/tex]
How much was left over?
[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]
