Please Help! A bag contains four green marbles and five yellow marbles. You randomly select three marbles. What is the probability that all three marbles are green when (a) you replace each marble before selecting the next marble, and (b) you do not replace each marble before selecting the next marble? Write each probability as a decimal rounded to the nearest thousandth. Then compare the probabilities.
Answer:
A. 0.088
B. 0.048
C. 1.83 times
Step-by-step explanation:
From the question given above, the following data were obtained:
Green (G) = 4
Yellow (Y) = 5
Total = 4 + 5 = 9
A. Determination of the probability of selecting three green marbles with replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 4/9
P(3rd G) = 4/9
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 4/9 × 4/9
P(all G) = 64/729
P(all G) = 0.088
B. Determination of the probability of selecting three green marbles without replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 3/8
P(3rd G) = 2/7
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 3/8 × 2/7
P(all G) = 24/504
P(all G) = 0.048
C. Comparing probability of replacement and without replacement.
P(all G with replacement) = A = 0.088
P(all G without replacement) = B = 0.048
A/B = 0.088/0.048
A/B = 1.83
Cross multiply
A = 1.83 × B
Thus,
P(all G with replacement) = 1.83 × P(all G without replacement)
Find the value of c that makes x2 + 6x + c a perfect square. Then write the trinomial as a perfect square.
Hi there!
[tex]\large\boxed{c = 9, (x +3)^2}[/tex]
To find the value of c, we can say:
ax² + bx + c
(b/2)² = c
Therefore:
(6/2)² = 3² = 9
Rewrite the trinomial:
x² + 6x + 9
To write as a binomial, take the square root of c:
√9 = 3
Thus:
(x + 3)² = x² + 6x + 9
describe the operation used to solve the equation 5/6 x - 2= -2/3 x + 1
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Please help me with this ASAP
Answer:
Volume: 27
SA: 54
LA: 36
Step-by-step explanation:
The formulas are in the previous questions.
As part of a sweepstakes, Carlos is given one dollar on the first day. Carlos is told that the number of dollars given each day
is double the number given the day before. How many dollars will he earn on day 8?
Answer:
16 /:
Step-by-step explanation:
I just need the answer for this one
Answer:
Ok
Step-by-step explanation:
So I’m guessing divide 24 in 2 and the lowest number is the one side of the area, then take that number and add it to the 7 and then divide that number with the lowest number on that side and ba bam
2
Select the correct answer from the drop-down menu.
Subtracting 3 xy2 from 8 xy2 gives the same result as the expression
Reset 3xy^2 - xy^2
-7xy^2 - 2xy^2
7xy^2 - 2xy^2
Answer:
7xy^2 - 2xy^2
Step-by-step explanation:
Subtracting 3xy² from 8xy² is 8xy² - 3xy² = 5xy²
And 7xy^2 - 2xy^2= 5xy²
0.4x+y=45x+.55y=18.75
Answer:
4x+y=45x+0.55y=18.75
Step-by-step explanation:
Complete the explanation on the 2 errors Margaret made, and then give the correct answer.
(see screenshots below)
Answer:
For the first page 2nd line they did 88846 squared instead of cubed.
The correct answer is 935,087,000,000,000.
Step-by-step explanation:
do this and thanks and tell me why you think it was a b or c maybe d
=> B) The amount of popcorn that fits in a particular container.
Explanation:=> The amount of space that a substance or object occupies, or that is enclosed within a container is known as volume. The first & third option measures the surface area while the fourth option measures the distance covered. Thus, the second option (b) is the correct answer.
[tex] \infty \infty \infty [/tex]
Answer:
B. The amount of popcorn that fits in a particular container.
Step-by-step explanation:
Volume is the amount of space that is inside a three dimensional shape. In other words we need a box/container that has empty space in it. That space is the volume. Knowing this we can start eliminating answer. First we can eliminate answer D. This answer makes no sense when comparing it to what is needed for volume. Answer D has to do with distance. Then we can eliminate answer C. This answer does can not work because it says "square inches". This means that it is either the area of a two dimensional shape or it could be the outside of a three dimensional shape. Answer A. is like answer C. It is the outside of a shape and not the inside. That leaves us with answer B. Answer B says "that fits in a particular container". From this we can see that they are fitting something inside a container. These are the key words for volume.
help please ! thank u
Given:
In triangle [tex]ABC,m\angle A=138^\circ,c=19,a=29[/tex].
To find:
The [tex]m\angle C[/tex].
Solution:
According to the law of sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Taking [tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex], we get
[tex]\dfrac{\sin 138^\circ}{29}=\dfrac{\sin C}{19}[/tex]
[tex]\dfrac{0.66913}{29}\times 19=\sin C[/tex]
[tex]0.4383959=\sin C[/tex]
Taking sin inverse on both sides, we get
[tex]\sin{-1}0.4383959=C[/tex]
[tex]26.001577^\circ=C[/tex]
[tex]C\approx 26^\circ[/tex]
Therefore, the correct option is b.
Geometry: A circle has a diameter of 20 mm. What is the circumference
of the circle?
PLS HELP ME ^^^
Please help I’ll mark you brainlist!!!
Answer:
2 units ^2
Step-by-step explanation:
A = 1/2 (2) (2)
A = 4/2 = 2
8. Which choice is a graph of the solution set for -12 + 5x < 8?
A
B
+
-2
0
2
2
D
С
+
6
4
-2
0
0
2
4
6
8
Answer:
B
Step-by-step explanation:
If anyone has done this or knows how please help me
Answer:
it need time n I'm new ,I need more understanding before I can help others
Solve the system by substitution.
5x + 9y = 21
-6y = x
What is the solution to the system of linear equations graphed here?
A (0,4)
B (4,2)
C (2,4)
D) No Solution
Answer:
C
.....................
A bank put $25 into a savings account when you opened the account. Nine weeks later, you have a total of $97. Assume you saved the same amount every week
Answer:
no jaja putoyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy y
Which is the answer. A B C D?
Answer:
A) T'(-2,3), U'(0,5), V'(-1,0)
find the area of the semi-circle with a diameter of 55cm
Answer:86.35
Step-by-step explanation: 3.14*55/2=86.35
hoped this helped.
Alec keeps his pens, pencils, and erasers in a plastic box that is shaped like a rectangular prism. Alec's box is 25 centimeters long, 6 centimeters wide, and 4 centimeters tall. What is the volume of Alec's plastic box?
Answer:
624 square centimeters
Step-by-step explanation:
You must do 25x6x4 to get the volume. So you must multiply the length, height and width to get the volume.
Simplify in standard form (7m-2) +(2m-4)
Answer:
Combine the like terms.
9m - 6 is your final answer.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
What does 49/100 + 4/10 equal
Answer:
= 89/100 or 0.89
Step-by-step explanation:
i hope this helps :)
PLEASE HELP ME !!! IT’S DUE AT 11:30pm
Answer:
ok soo ik links are dangerous here but here is a app that can help you with you dont trust its ok I would`t
Step-by-step explanation:
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $400.00?
The number of miles you can travel in one week for $400.00 is (Type a whole number.)
Plz help
Answer:
The number of miles you can travel in one week for $400.00 is 720 miles
Step-by-step explanation:
220 +0.25m = 400
0.25m = 180
m= 180/0.25
m= 720
Please help! I don’t know how to make the square roots equal to each other but I understand the other steps... kind of.
Answer:
Step-by-step explanation:
find the length of side x in simplest radical form with a rational denominator
Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Find the value of y if x = 174
Answer: 348
Step-by-step explanation: y is going to be 2x
PLEASE HELP!!! I REALLY NEED IT!!!
So, this is kind of random, but can someone give, like, a step-by-step explanation of how to do this equation?
(22+(-6/20)) * (214-10(-6/20)) - (284.75)=4424.15
Thank you so much, I just... I cannot will myself to figure out this problem today. Love youuu!
Step-by-step explanation:
(22 + (-6/20) × (214 - 10 ( -6/20)) - (284.75)
(22 - 6/20) × (214 + 60/20) - (284.75)
(22 - 0.3) × (214 + 3) - (284.75)
(21.7 × 217) - 284.75
4708.9 - 284.75
= 4424.15
Find the slope and y-intercept for the graph.
God bless!