Amelie is making a recipe that uses 134 cups flour. She is making 212 times the original recipe. Amelie draws this model to represent the number of cups of flour she needs. How many cups of flour does Amelie need? Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Amelie needs [tex]\( 28\frac{1}{4} \)[/tex] cups of flour for her recipe.
Amelie's recipe uses [tex]\( \frac{1}{4} \)[/tex] cups of flour and she's making [tex]\( 2\frac{1}{2} \)[/tex]times the original recipe. To find the total amount of flour needed, we multiply the two quantities:
1. Original Quantity of Flour: [tex]\( \frac{1}{4} \)[/tex] cups
2.Multiply by the Recipe Multiplier: [tex]\( 2\frac{1}{2} \times \frac{1}{4} \)[/tex]
3.Convert Mixed Number to Improper Fraction: [tex]\( 2\frac{1}{2} = \frac{5}{2} \)[/tex]
4. Perform the Multiplication:
[tex]\[ \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]
Since Amelie is using [tex]\( \frac{5}{8} \)[/tex] of the grid and each square represents 1 cup, we can calculate the total cups by multiplying the number of squares in the grid by [tex]\( \frac{5}{8} \)[/tex]:
5.Total Squares in the Grid: [tex]\( 8 \times 4 = 32 \)[/tex]
6.Total Flour Needed:
[tex]\[ 32 \times \frac{5}{8} = 4 \times 5 = 20 \text{ cups} \][/tex]
However, since the grid seems to represent a multiplication model for the entire recipe amount, and we've been given that she's using[tex]\( 1\frac{3}{4} \)[/tex] cups and multiplying it by [tex]\( 2\frac{1}{2} \)[/tex], we should calculate as follows:
1. Convert [tex]\( 1\frac{3}{4} \)[/tex] cups to an improper fraction: [tex]\( \frac{7}{4} \)[/tex] cups.
2. Multiply[tex]\( \frac{7}{4} \) by \( 2\frac{1}{2} \)[/tex] (which is [tex]\( \frac{5}{2} \)[/tex] as an improper fraction):
[tex]\[ \frac{7}{4} \times \frac{5}{2} = \frac{35}{8} \][/tex]
3. Convert \( \frac{35}{8} \) to a mixed number:
[tex]\[ \frac{35}{8} = 4\frac{3}{8} \text{ cups} \][/tex]
Looking at the model provided, the total grid represents[tex]\( 2\frac{1}{2} \)[/tex]times the original recipe, which is [tex]\( 1\frac{3}{4} \)[/tex] cups of flour. The full grid has [tex]\( 8 \times 4 = 32 \)[/tex]squares, where each square represents [tex]\( \frac{1}{4} \)[/tex] cup of flour, giving us a total of 8 cups represented by the full grid. Since we want [tex]\( 2\frac{1}{2} \) or \( \frac{5}{2} \)[/tex] of this grid, we multiply:
[tex]\[ \text{Total flour} = 8 \times \frac{5}{2} = 4 \times 5 = 20 \text{ cups} \][/tex]
However, the discrepancy arises because the image shows a grid that is partially shaded, suggesting that we're looking at a portion of the full recipe's flour amount. Without clear visibility or description of the image, the precise interpretation of the grid is ambiguous.
Given this, the correct interpretation based on the model provided would be to calculate as follows:
[tex]\[ \frac{32}{4} \times \frac{5}{2} = 8 \times \frac{5}{2} = 20 \text{ cups} \][/tex]
If the grid is fully shaded, which means the entire grid is being used to represent the amount of flour, then Amelie needs 20 cups of flour for her recipe. If the grid is partially shaded and we are to use the fraction[tex]\( \frac{35}{8} \) (or \( 4\frac{3}{8} \) cups)[/tex] from the shaded portion, then the amount of flour needed would be [tex]\( 4\frac{3}{8} \)[/tex] cups. The mixed number in simplest form for the latter calculation would be [tex]\( 4\frac{3}{8} \)[/tex] cups.
complete question given below:
Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.Amelie draws this model to represent the number of cups of flour she needs.How many cups of flour does Amelie need?Enter your answer as a mixed number in simplest form by filling in the boxes.
Related Questions
A cooler contains five bottles of lemonade four bottles of water and three bottles of juice. Each is likely to be chosen. Describe a model that can be used to simulate the situation
Answers
Answer:Since each type of drink (lemonade, water, and juice) is equally likely to be chosen, the probability of choosing a type of drink is 1 in 3 picks. Thus, in order to get all three types of drinks, one must pick 3
Step-by-step explanation:
The yearly income I, in dollars, for the dairy comes from milk production, which depends on the number C of dairy cows. Each dairy cow produces 3500 gallons of milk per year, and the dairy sells milk for 2.00 per gallon. Find a formula that gives I as a linear function of C
Answers
Answer:
[tex]I=7000C[/tex]
Step-by-step explanation:
Let C represent number of dairy cows.
We have been given that each dairy cow produces 3500 gallons of milk per year. So amount of milk produced by C cows in 1 year would be [tex]3500C[/tex] gallons.
We are also told that the dairy sells milk for 2.00 per gallon. So yearly income I, in dollars for the dairy milk production would be 2.00 times the yearly milk production.
Since yearly milk production from C cows is [tex]3500C[/tex], so Income would be:
[tex]I=2.00(3500C)[/tex]
[tex]I=7000C[/tex]
Therefore, the formula [tex]I=7000C[/tex] represents yearly income (I) as a linear function of C.
The table below shows all of the possible outcomes for rolling two six-sided number cubes.
A table containing 36 possible outcomes. There are 5 desired outcomes.
What is the probability of rolling a sum of 8?
a
StartFraction 1 over 12 EndFraction
b
StartFraction 1 over 6 EndFraction
c
StartFraction 5 over 36 EndFraction
d
StartFraction 7 over 36 EndFraction
Answers
Answer:
d
Step-by-step explanation:
hope this helps
Helena wants to paint a box in the shape of a cube with sides that are 18 inches long. what is the surface area that Helena will paint?
Answers
Answer:
1944 Inches Squared
Step-by-step explanation:
Surface area Formula for a Cube:
[tex]A = 6a^2[/tex]
The "edge", which is also the side, is 18 inches.
[tex]a = 18[/tex]
Solve the formula.
[tex]A= 6a^2 = 6(18)^2 = 6 * 18^2\\18^2 = 324\\324 * 6 = 1944\\A=1944[/tex]
The cube's surface area should be 1944 square inches.
Answer:
Step-by-step explanation:
1944 Inches Squared
Step-by-step explanation:
Surface area Formula for a Cube:
The "edge", which is also the side, is 18 inches.
Solve the formula.
jackson's kitten weighed 2 punds and 3 ounces.a month later the kitten weighed 56 ounces . how much weight did the kitten gain in that month
Answers
Answer:
Jackson's kitten gained 21 ounces that moth, or 1.3125 pounds.
Step-by-step explanation:
56-35=21
Answer:
21 ounces
Step-by-step explanation:
2 pounds is equal to 32 ounces, plus the 3 ounces, so the kitten was originally 35 ounces. You subtract 56-35, and get 21 ounces.
Five thousand, three hundred twenty people are on a cruise. If each dinner table seats 10 people, how many dinner tables does the cruise line need to provide?
tables
Answers
Answer:
532
Step-by-step explanation:
divide 5,320 by 10
Joan has saved 7 quarters from washing cars how many cents does Joan have?
Answers
Answer:
175 cents
Step-by-step explanation:
1 quarter is equal to 25 cents.
Since there are 7 of them,
7 times 25 cents = 175 cents
Are the two cylinders similar? The diagrams are not drawn to scale.
a) no
b) yes
c) impossible to tell
for search: 8.32 10.192 2.6 3.64
thank you!
Answers
Answer:
a) no
Step-by-step explanation:
-The diagrams can be said to be mathematically similar if the dimensions of their corresponding sides enlarge or reduce by the same factor.
-We therefore determine the enlargement factor for both the radius and height as below:
-Let k be the scale factor
[tex]k_r=\frac{R}{r}\\\\=\frac{3.64}{2.6}\\\\=1.4\\\\k_h=\frac{H}{h}\\\\=\frac{10.192}{8.32}\\\\=1.225\\\\k_r\neq k_h[/tex]
Hence, the cylinders are not mathematically similar since the enlargment factors for the radius and height are not equal.
Answer:
Surface Area and Volume Unit Test
1. 14
2. hexagon
3. 224 m2
4. 896 pi in.2
5. 405 in.2
6. 49,009 m2
7. 4,910.4 yd3
8. 3.6 in
9. 4,608 cm3
10. 1,296 cm3
11. 1,442.0 yd3
12. 2,158 m2
13. no
14. 7 : 10
15. 100 m2
16. one-point perspective
17. 18.3 cm
What is the answer please
Answers
Answer:
(-12, 9)
Step-by-step explanation:
What is 145 divided by 788
Answers
Answer:
0.18401015
Step-by-step explanation:
You should use an online calculator
In Euclidean geometry, the sum of the lengths of 2 sides of a triangle is greater than the length of the third side. The lengths of 3 sides of a triangle are 3x, 7, and 12.
Answers
Answer:[tex]x \in (\frac{5}{3},\frac{19}{3})[/tex]
Step-by-step explanation:
Given
length of three sides are
[tex]3x, 7\ and\ 12[/tex]
according to Euclidean geometry
[tex]7+12>3x[/tex]
[tex]19>3x[/tex]
[tex]\frac{19}{3}>x[/tex]
also
[tex]3x+7>12[/tex]
[tex]3x>5[/tex]
[tex]x>\frac{5}{3}[/tex]
therefore value of [tex]x \in (\frac{5}{3},\frac{19}{3})[/tex]
If x is an integer then x can be [tex]2,3,4,5,6[/tex]
3. JASON IS 4 YEARS OLDER THAN
ANNE. THREE TIMES THE SUM OF THEIR
AGES IS 114. WHAT IS JASON'S AGE?
If anyone can help me and show their work it would help a lot!
Answers
Answer:
I think the answer is 38.
To write 11x2+17x−10 in factored form, Diego first listed pairs of factors of -10. (_+5)(_+-2) (_+2)(_+-5) (_+10)(_+-1) (_+1)(_+-10) Use what Diego started to complete the rewriting. Only one of the factored forms needs to be used and completed.
Answers
Answer:
The factored form of the polynomial is 11*(x+2)*(x-5/11). The root found was r = -2
Step-by-step explanation:
If you take a positive value of x, you will most likely obtain positive results, since 11x² + 17x ≥ 11 + 17 = 28 for x ≥1, which means that 11x²+17x-10 ≥ 28-10 = 18 > 0.
Therefore, we prove with negative values.
x = -1: 11*(-1)²+17*(-1) - 10 = -16x = -2: 11*(-2)² + 17*(-2) - 10 = 44-34-10 = 0Therefore, -2 is a root. We can find the other knowing that
p(x) = 11*(x-r₁)*(x-r₂) = 11*(x-(-2)) * (x-r₂) = 11*(x+2)*(x-r₂)
The independent term is 11*2*(-r₂) = -22r₂ = -10
thus, r₂ = -10/-22 = 5/11.
Therefore, p(x) = 11*(x+2)*(x-5/11)
To write 11x2+17x−10 in factored form we find two numbers whose sum is 17 and product is -110. The correct pair is 2 and -55 which leads to the factored form (11x - 55)(x + 2).
Explanation:The question involves factoring a quadratic expression, 11x2+17x−10. To re-write this expression in factored form, one needs to find two numbers, such that their sum equals to the coefficient of x, 17, and their product equals to the product of the coefficient of x² and the constant term (11*(-10)=-110). Diego started by listing all pairs of factors of the constant term, -10. The correct pair here, considering the product and the sum, are 2 and -55, because 2*(-55)=-110 and 2+(-55)=17. Therefore, our factored form will be: (11x - 55)(x + 2).
Learn more about Factoring Quadratic Expressions here:https://brainly.com/question/8342271
#SPJ11
The model of a new apartment building have dimensions of 10 inches in width, 18 inches in length and 28 inches in height. The architect plans for the building to be 144 times the dimensions of the model. What will be the volume and surface area or the new building when it is completed?
Answers
The volume of the new building is 11,726,069,760 cubic inches, and its surface area is 51,555,840 square inches.
To find the volume and surface area of the new building, we first need to calculate the dimensions of the new building by scaling up the dimensions of the model by a factor of 144.
1. Dimensions of the new building:
-[tex]Width: \(10 \times 144 = 1440\) inches[/tex]
- [tex]Length: \(18 \times 144 = 2592\) inches[/tex]
- [tex]Height: \(28 \times 144 = 4032\) inches[/tex]
2. Volume of the new building:
The volume of a rectangular prism (building) is calculated by multiplying its length, width, and height.
[tex]\[Volume = \text{Length} \times \text{Width} \times \text{Height}\][/tex]
Substituting the given dimensions:
[tex]\[Volume = 2592 \times 1440 \times 4032\][/tex]
[tex]\[Volume = 11,726,069,760 \text{ cubic inches}\][/tex]
3. Surface area of the new building:
The surface area of a rectangular prism (building) is calculated by adding the areas of all six sides.
[tex]\[Surface\,Area = 2(\text{Length} \times \text{Width} + \text{Length} \times \text{Height} + \text{Width} \times \text{Height})\][/tex]
Substituting the given dimensions:
[tex]\[Surface\,Area = 2(2592 \times 1440 + 2592 \times 4032 + 1440 \times 4032)\][/tex]
[tex]\[Surface\,Area = 51,555,840 \text{ square inches}\][/tex]
So, when the new building is completed:
- The volume will be [tex]\(11,726,069,760 \text{ cubic inches}\).[/tex]
- The surface area will be [tex]\(51,555,840 \text{ square inches}\).[/tex]
At the 2010 Winter Olympics in Vancouver, the top 8 countries got a total of 60 gold medals. Of the 60, Russia got 3 gold medals. Write and solve an equation to find what percent of the total gold medals, for the top countries, Russia got.
Answers
Russia obtained [tex]\( 5\% \)[/tex]of the total gold medals for the top 8 countries.
Let's denote the total number of gold medals obtained by Russia as [tex]\( x \)[/tex]. Since we know Russia got 3 gold medals, we have [tex]\( x = 3 \)[/tex].
Now, let's denote the total number of gold medals obtained by the top 8 countries (including Russia) as T. We're told that the total number of gold medals obtained by all top 8 countries combined is 60. Since Russia got 3 gold medals, the gold medals obtained by the other top 7 countries is [tex]\( T - 3 \)[/tex].
So, the percentage of gold medals obtained by Russia can be calculated as:
Percentage of gold medals obtained by Russia = [tex]\frac{\text{Number of gold medals obtained by Russia}}{\text{Total number of gold medals obtained by the top 8 countries}} \times 100\%\][/tex]
Substituting the known values:
[tex]\[\text{Percentage of gold medals obtained by Russia} = \frac{3}{T} \times 100\%\][/tex]
We know that the total number of gold medals obtained by the top 8 countries is 60, so [tex]\( T = 60 \).[/tex] Substituting this into the equation:
[tex]\[\text{Percentage of gold medals obtained by Russia} = \frac{3}{60} \times 100\%\][/tex]
Solving this equation:
[tex]\[\text{Percentage of gold medals obtained by Russia} = \frac{1}{20} \times 100\% = 5\%\][/tex]
So, Russia obtained [tex]\( 5\% \)[/tex]of the total gold medals for the top 8 countries.
ILL GIVE YOU BRAINLIEST!!PLEASEEE HELPPP MEEEE
Answers
Answer:I can't really tell what B says could you do another pic
Step-by-step explanation:
Answer:
Across the x axis.
Step-by-step explanation:
3n^2−2n−8 Factoring trinomials II
Answers
Answer:
(3n + 4) (n-2)
Step-by-step explanation:
Are you asking to factor this 3n^2 - 2n -8 ?
If so the best way to do this problem is with the X method.
top: 3*(-8)
left: factor of 3*-8 right: factor of 3*-8
bottom: -2
try the factors 4 and -6 because 4*-6 = 3 *-8 = -24
Because notice that 4 + -6 = -2
so:
3n^2 -2n - 8 can be rewritten as 3n^2 -6n + 4n - 8
We should first use Distributive property to factor: 3n^2 -6n + 4n - 8
3n^2 -6n + 4n - 8 = 3n (n - 2) + 4(n - 2)
Now we factor by grouping here : (3n + 4) (n-2)
I factored out the group (n-2)
Therefore: (3n + 4) (n-2) = 3n^2 -2n - 8
can somebody do this
6x²-x-2=0
Answers
Answer:
X= 1 + 7/12
x = 1 - 7/12
Step-by-step explanation:
Answer:
[tex]x=\frac{19}{12}\\ or\\x=\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]6x^2-x-2=0[/tex]
a=6
b=-1
c=-2
[tex]x=-b\frac{+}{}\frac{\sqrt[]{b^2-4ac} }{2a}[/tex]
[tex]x=-(-1)\frac{+}{}\frac{\sqrt[]{(-1)^2-4(6)(-2)} }{2(6)}[/tex]
[tex]x=1\frac{+}{}\frac{\sqrt[]{1+48} }{12}[/tex]
[tex]x=1\frac{+}{}\frac{\sqrt[]{49} }{12}[/tex]
[tex]x=1\frac{+}{}\frac{7}{12}[/tex]
------------------------------
[tex]x=1+\frac{7}{12}[/tex]
[tex]x=1-\frac{7}{12}[/tex]
------------------------------
[tex]1+\frac{7}{12}=\frac{(1*12)+(7*1)}{12} =\frac{12+7}{12} =\frac{19}{12}[/tex]
------------------------------
[tex]1-\frac{7}{12}=\frac{(1*12)-(7*1)}{12} =\frac{12-7}{12} =\frac{5}{12}[/tex]
What is the area of the purple region? *
Answers
Answer:
49pi or about 153.94 square meters.
Step-by-step explanation:
Because the two semicircles together take up the 28m long edge of the rectangle, they each half that diameter and a quarter of that radius. This means that both semicircles have a radius of 28/4=7. Since two semicircle with the same radius form a full circle, we can just calculate the area of a full circle of radius 7. [tex]\pi \cdot 7^2=49\pi\approx 153.94[/tex]. Hope this helps!
If sally has 50000 pennies and she gives 2 to her sister how much does she have left
Answers
Answer:
49998 pennies left
Step-by-step explanation:
50000 - 2 = 49998
Answer:
50000-2=49998
Step-by-step explanation:
A cooking magazine shows a photo of a main dish on the front cover of 5 out of the 12 issues it publishes each year,how many times will it be on front cover for 5 years
Answers
Answer:
The correct answer is 25.
Step-by-step explanation:
A cooking magazine shows a photo of a main dish on the front cover of 5 out of the 12 issues it publishes each year.
Number of publications by the magazine every year = 12.
Number of publications in 5 years = 12 × 5 = 60.
Out of these 12 magazines in a year, the photo of a main dish is on 5 magazines.
Therefore in 60 magazines, the photo of a main dish would be 5 × 5 = 25 magazines.
Thus in five years there would be 25 publications in which the front page will have a poster of a main dish.
Based on the number of times the photo appears per year, in 5 years it will appear 25 times.
Every year, the photo in question appears 5 out of 12 times.
If there were 5 years therefore, it would appear:
= Number of times per year x Number of years
= 5 x 5
= 25 times
In conclusion, the photo of a main dish will appear 25 times in 5 years.
Find out more about such multiplication at https://brainly.com/question/98253.
In 2012 there were approximately 8950 public librarys in the United States a survey found that 76% of the library's offered free access to the electronic books based on this information how many public library offered free access electronic books in 2012
Answers
Answer:
6,802
Step-by-step explanation:
Our first step is to change 76% into a decimal:
76% -> [tex]\frac{76}{100}[/tex] -> 0.76
Next, lets multiply and solve for x:
[tex]x=8,950(0.76)[/tex]
[tex]x = 6,802[/tex]
There were 6,802 public libraries that offered free access electronic books in 2012.
Answer:
6802 Libraries offered free electronic books.
Step-by-step explanation:
The top two nets represent the triangular prisms that are attached to the bases of a rectangular prism. The composite figure is composed of all three prisms. The shaded areas are faces that are shared between the prisms. What is the total surface area of the composite figure?
78 square units
144 square units
282 square units
342 square units
Answers
Answer:
cx
Step-by-step explanation:
Answer:
the answer is C 282
Step-by-step explanation:
I need the coordinates for these
3x-2y=2
5x=5y+10
Answers
Answer:
solution is (-2, -4)
Step-by-step explanation:
I assume you want the solution?
so we want to find the intersection.
3x - 2y = 2
5x = 5y + 10
simplify the last equation
x = y + 2 by dividing out the 5
substitute
3*(y + 2) - 2y = 2
3y + 6 - 2y = 2
y + 6 = 2
y = -4
x = -4 + 2 = -2
solution is (-2, -4)
A rectangular prism is 10.8 yards long and 10.1 yards wide. Its volume is 218.16 cubic yards. What is the height of the rectangular prism?
Answers
Answer:
2 yards
Step-by-step explanation:
[tex]\frac{218.16}{10.8\cdot 10.1}=2[/tex] yards. Hope this helps!
Answer:
get the brainliest duck
Step-by-step explanation:
What percentage of the data values falls between the values of 3 and 24 in the data set shown?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 19. A line divides the box at 15.
Answers
Answer
25 percent
Step-by-step explanation:
Answer:
The correct answer is 100%
Step-by-step explanation:
:>
Sally has $21.40 in dimes and quarters. There are 100 coins in all. How many of each coin does she have?
Answers
x = dimes
y = quarters
We also know:
Dimes: 0.10
Quarters: 0.25
100 = x + y
So, 0.10x + 0.25y = 100
And, y = 100 - x
Let’s use substitution:
0.10x + 0.25( 100 - x ) = 100
= 0.10x + 25 - 0.25x = 100
= 25 - 100 = 0.25x - 0.10x
= (-75) = 0.15x
x = (-75) divide by 0.15
x = (-500)
A cable running from the top of a utility pole to the ground exerts a horizontal pull of
800 Newtons and a vertical pull of 800V3 Newtons. What is the sine of the angle o
between the cable and the ground? What is the measure of this angle?
Answers
Answer:
a. (√3)/2
b. 60 degrees.
Step-by-step explanation:
Please kindly check the attached files for explanation.
The sine of the angle is √3 / 2, and the measure of the angle is 60°.
Finding the Angle Between a Cable and the Ground
To determine the sine of the angle ( heta) between the cable and the ground, we need to use the horizontal and vertical forces exerted by the cable. We have a horizontal pull of 800 Newtons and a vertical pull of 800√3 Newtons.
First, we calculate the sine of the angle using the formula:
Sine ( heta) = Opposite / Hypotenuse
Here,
Opposite = Vertical Pull = 800√3 N
Hypotenuse = Resultant Force = √[(Horizontal Pull)^2 + (Vertical Pull)^2] = √[(800)^2 + (800√3)^2] = 1600 N
Thus,
Sine ( heta) = 800√3 / 1600 = √3 / 2
We know that the angle heta with a sine value of √3 / 2 is 60 degrees (or heta = 60°).
In conclusion, sine of the angle is √3 / 2, and the measure of the angle is 60°.
Alice Jones worked 32 hours this week. She paid $4.00 per hour. She also earned $250 in tips. What is Alices gross pay for this week?
Answers
Answer:378
Step-by-step explanation:32 times 4=178 +250=378
Alice Jones's gross pay for the week is the sum of her hourly earnings ($128 from working 32 hours at $4.00 per hour) and her tips ($250), totalling $378.
To calculate Alice Jones's gross pay, we need to consider both her hourly wage and her tips. Alice worked 32 hours this week and was paid $4.00 per hour. This means her earnings from her hourly wage are:
32 hours times $4.00/hour = $128
Alice also earned $250 in tips. To find her gross pay for the week, we add her hourly earnings to her tips:
$128 + $250 = $378
Therefore, Alice's gross pay for the week is $378.
Francisco is playing a game with 3 green, 2 yellow, 4 red, and 3 black marbles in a bag. He has calculated the probability of drawing a yellow marble, not replacing it, and then drawing a red marble. Explain the error in his solution.
Answers
The question is incomplete! Complete question along with answer and explanation is provided below.
Question:
Francisco is playing a game with 3 green, 2 yellow, 4 red, and 3 black marbles in a bag. He has calculated the probability of drawing a yellow marble, not replacing it, and then drawing a red marble. Explain the error in his solution.
The Probability is (2/12)(4/12) = 8/144
Answer:
P = (2/12)(4/11) = 2/33
Step-by-step explanation:
There are total 3 + 2 + 4 + 3 = 12 marbles
The probability of drawing a yellow marble is given by
P(yellow) = number of yellow marbles/total number of marbles
There are 2 yellow marbles and total 12 marbles
P(yellow) = 2/12
Then Francisco draws a red marble without replacing the first one so that means there are total 11 marbles left.
P(red) = number of red marbles/total number of marbles
There are 4 red marbles and total 11 marbles
P(red) = 4/11
Therefore, the overall probability is
P = (2/12)(4/11) = 2/33
Francisco made the error of calculating the probability with replacement whereas, in reality he did not replaced the marble after drawing the yellow marble, so he should have used total 11 marbles for the calculation of drawing red marble,