Answers
Note: 1.8 = 9/5
===========================================================
Explanation:
This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).
For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.
We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.
The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%
---------------------------------
Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.
The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5
The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately
We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.
---------------------------------
The fractional answer to the first section was 1/25. Let A = 1/25
The fractional answer to the second section was 1/45. Let B = 1/45
A and B are the probabilities for "replacement" vs "no replacement" in that order.
Your teacher wants to know how many times greater the value of A is compared to B.
In symbols, your teacher wants to know the value of k in the equation A = Bk
So...
A = Bk
1/25 = (1/45)k
1/25 = k/45
1*45 = 25*k
45 = 25k
25k = 45
k = 45/25
k = (9*5)/(5*5)
k = 9/5
k = 1.8
Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.
The value of A is 1.8 times greater compared to the value of B.
Related Questions
Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer
Answers
Answer:
between 128 and 144 ounces
Step-by-step explanation:
Recall that 1 pound equals 16 ounces.
8 pounds is 128 oz; 9 pounds is `144 oz.
Therefore, a gallon of milk weighs between 128 and 144 ounces.
Bonjour, pouvez-vous m'aider s'il vous plaît.
Un grand père de 70ans a réuni ses 5 petits enfants.
Adélaïde est la plus jeune. Viennent ensuite les jumeaux Alain et Alex qui ont 4ans de plus. Coralie a deux ans de plus que les jumeaux et Dorothée a 7ans de plus qu'Adélaïde.
Le grand père remarque: "C'est amusant, à vous tous, vous avez le même âge que moi.".
Quel est l'âge d'Adélaïde ? (Utilisez une question).
Merci de votre compréhension.
Answers
Qu'est-ce que cela a à voir avec quoi que ce soit?
V = 4p2
Find V when p = 3
Answers
Given = V= 4p²
and P= 3
V= 4×3²
V= 36.
yh
so
there is another answer, it is above me
what is a 10th term and the first 3 terms of :(
−
2
)
⋅
Answers
Step-by-step explanation:
your question is quite easy but the way you put it makes it complicated for me to understand. please can you rewrite it in a more easier way
HELP PLEASE ASAP PLEASE TYSM TYSM WILK+L MARK BRAINLIEST! IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM HELP ASAP PLEASE TYSM
Answers
Answer:
6.25
Step-by-step explanation:
4x-36<-12
i need help on this
Answers
Answer:
x<6
Step-by-step explanation:
4x-36<-12
Add 36 to each side
4x-36+36<-12+36
4x < 24
Divide each side by 4
4x/4 < 24/4
x<6
Answer:
x<6
Step-by-step explanation:
Reverse order of operations SADMEP
4x<24 (add 36 to both sides)
x<6 (divide both sides by 4)
please answer ASAP. is this undefined(A) or is it 1 (B)
Answers
Answer:
slope is undefined
Step-by-step explanation:
The slope of a vertical line parallel to the y- axis is undefined
I need help with this
Answers
Answer:
its a personality test im not alowwed to help
Step-by-step explanation:
Can someone pls give me the answer to this?
Answers
Answer:
A
Step-by-step explanation:
It went down 5 so y-5 and it also went left 6 so x-6
(x-6,y-5)
I'm pretty sure the top right is before it was moved
Brainliest Appreciated! :)
Answer:
D
Step-by-step explanation:
lets take one point of each triangle
A(-5,-4) A´(1,1)
-5 to 1 is 6
-4 to 1 is 5
( x + 6, y - 5 )
In Paige’s class, 13 of the 20 students were born in Texas. Based in the information,
if there are 800 students at the school, how many students could be expected to have
been born in Texas?
Answers
Answer:
520
Step-by-step explanation:
13 out of 20 is equal to 520 out of 800
it is 65% and 65% of 800 is 520
The figure below is a square inside a rectangle
Answers
Answer:
ummmm their isn't no picture showing
have a good day :)
Step-by-step explanation:
If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?
Answers
Answer: c
Step-by-step explanation:
18 * 3 represents one way that some cans are placed in equal groups on shelves
Answers
Answer:okay I think you might have to multiply
Step-by-step explanation:
It says cans are places in equal groups so if you do 18 x 3 you get 54
Which number is the closest approximation of 39?
Answers
Answer:
Because 39 is significantly closer to 36 than it is 49, the approximation of the square root of 39 to the nearest whole number would be 6
Step-by-step explanation:
Find the measure of angle x.
X
x =
78°
Answers
Answer:
78°
Step-by-step explanation:
Theorem of vertical angles says that the opposite angle formed by two intersecting lines are congruent
So x = 78°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x = 78
Step-by-step explanation:
The angle labeled x and the angle with a measure of 78° are vertical angles
Vertical angles are congruent ( equal to each other )
So if "x"'s vertical angle has a measure of 78 degrees than x also has a measure of 78 degrees.
The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 4.
Find the numbers.
Answers
Answer:
1 2/3, 10 1/3
Step-by-step explanation:
x + y = 12
(3x - 1) = 4
let x = 12-y
substitute:
3(12-y) - 1 = 4
36 - 3y - 1 = 4
35 - 3y = 4
-3y = -31
y = 31/3 or 10 1/3
x = 11 3/3 - 10 1/3 which is 1 2/3
Help me find answer ASAP please
Answers
Answer:
C
Step-by-step explanation:
thanks to the given informations we can say that the right triangle is half of an equilater one.
the height of the triangle can be find by multiplying the smallest leg with √3
so
x√3 = 8
x = 8/√3
that can be expressed as 8√3/3
8√3
3
Step-by-step explanation:
This triangle is 30-60-60 and to get side 8 is equal to x√3
Create a fraction model in which the shaded part represents a fraction equivalent to 20 100 Divide the figure into the correct number of equal parts by using the More and Fewer buttons. Then shade by selecting the part or parts.
Answers
Answer:
100/20=5. this is the answer of ur questions
2 third times 4 fifths
Answers
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
2 x 4 = 8
3 x 5 = 15
8/15
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me please
Answers
Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
the sum of three consecutive number is 63 find the number
Answers
The sum of three consecutive number is 63, hence the number is 20.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Let x represent the number. The sum of three consecutive number is 63, hence:
x + (x + 1) + (x + 2) = 63
x = 20
The sum of three consecutive number is 63, hence the number is 20.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Photos-To-Go printed 2,102 copies of a brochure for a travel agency. The brochure included 5 photos of popular vacation destinations. How many times will all 5 photos appear in all of the printed brochures? How do you know your answer is reasonable?
Answers
Answer:
All 5 photos will appear once in all the printed brochures
Step-by-step explanation:
Given
[tex]Copies = 2102[/tex]
[tex]Photos =5[/tex]
Required
The number of times the photo will appear
The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.
From the question, we understand that the photos will appear once in a copy.
By extension, the 5 photos will appear once in other copies.
Given the cosine equation y = 2cos(4x) - 1, What is the midline?
Answers
Answer:
[tex]y = 2 \cos(4x) - 1 \\ when \: y = 0 \\ \cos(4x) = \frac{1}{2} \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts = > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \: \frac{0 + 1}{2} ) \\ = (7.5, \: 0.5) \\ gradient = \frac{1 - 0}{0 - 15} \\ = - \frac{1}{15} \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 = - \frac{1}{15} \times 7.5 + c \\ 0.5 = - 0.5 + c \\ c = 1 \\ \therefore \: y = - \frac{1}{15} x + 1 \\ = > 15y = - x + 15[/tex]
which parent function go through the orgin? select all that apply
A reciprocal
B linear
C quadratic
D Cubic
E cube root
F absolute value
Answers
While shopping for a big party Nick has $90 worth of item) in his grocery cart. Soda is $2 a
bottle. Nick can spend $112 on everything. How many bottles of soda can Nick buy?
Answers
Please help!!! Will give brainliest!
Answers
Answer:
im pretty sure its a but i could be wrong ✋
Please help me, this is like the easiest thing but I'm stuck
Answers
Answer: A. 384 sq. mm
Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.
If f (x) = 6x – 5,
find x for f (x = 13
Answers
Step-by-step explanation:
f(x)=136x-5=136x=13+5x=18/6x=3hope it helps stay safe healthy and happy....Answer:
Solution :-here,
f (x)= 13
or, 6x-5= 13
or, 6x =13+5
or, 6x = 18
or, x = 18/6
or, x = 3
hope it is helpful to you
Ken is thinking of a number. Nine more than the product of 4 & the number is 73. Find Ken's number.
Answers
Answer:
x = 16
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
4x + 9 = 73
4x = 73 - 9
4x = 64
x = 64/4
x = 16
Therefore, the unknown number is 16.
For 11 days straight, Mike drove the same distance every day going to and coming from work. On the 12th day, he drove an extra 7 miles. If Mike drives 91 miles in total in those 12 days, write an expression to find the distance he travels each day going to and from work.
Answers
Answer:
A) The algebraic expression
= 12x + 7 = 91
B) He drives 7 miles per day
Step-by-step explanation:
For 11 days straight, Mike drove the same distance every day going to and coming from work.
Step 1
We are told : Mike drives 91 miles in total in those 12 days,
On the 12th day, he drove an extra 7 miles.
Hence:
91 miles - 7 extra miles
= 84 miles
Step 2
The number of miles he drives per day:
84 miles/12
= 7 miles per day
Step 3
The expression we can use to find the distance he travels each day going to and from work is written as:
Let the number of miles he travels be day = x
12x + 7 = 91 miles
12x + 7 = 91
12x = 91 - 7
12x = 84
x = 84/12
x = 7 miles per day