PLEASE HELP!!!! A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
a. Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.
b. Are these independent or dependent events?
c. Find the probability of tossing a head and drawing a red marble. Explain your reasoning.
d. Find the probability of drawing two blue marbles if the first marble is not replaced. Explain your reasoning.
Answers
The answers are as follows:
a. There are 6 ways of tossing a coin and then drawing a marble from the bag. (Tree diagram is shown in the diagram below) The probability is 1/12.
b. These are independent events since tossing a coin does not affect the drawing of marble from the bag.
c. From the tree diagram, the probability of tossing a head and drawing a red marble is 1/6(since they are independent events).
d. The probability of drawing two blue marbles if the first marble is not replaced is 1/5(since they are dependent events).
What are compound events in probability?Two or more events that occur simultaneously or one after the other are said to be compound events. They are calculated by multiplying the probability of the first event by the probability of the second event.Calculation:It is given that a bag contains,
Number of white marbles(W) = 1
Number of Blue marbles (B) = 3
Number of Red marbles (R) = 2
Thus, there are 6 marbles in the bag. So, the sample space for drawing a marble = 6
a. Finding all the possible outcomes using a tree diagram:
The possible outcomes from the tree diagram are
(H, W), (H, B), (H, R), (T, W), (T, B), and (T, R)
The probability of tossing head or tail = 1/2
The probability of drawing a marble from the bag = 1/6
So, the compound probability = (1/2)(1/6) = (1/12)
The sample space for this is 12.
b. Independent or dependent events:
These are independent events since the tossing of a coin does not affect the drawing of marble from the bag.
c. Finding the probability of tossing a head and drawing a red marble:
The probability of tossing a head = 1/2
The probability of drawing a red marble = 2/6 = 1/2
Since they are independent events,
The required probability = (1/2)(1/2) = 1/4
d. Finding the probability of drawing two blue marbles if the first marble is not replaced:
The probability of drawing a blue marble from the bag(1st attempt) = 3/6
The probability of drawing another blue marble from the bag (2nd attempt) = 2/5 (From the leftover marbles after the first attempt)
Since they are dependent events, the probability of the 2nd event is calculated only after the first event is calculated.
So, the required probability = (3/6)(2/5) = 1/5
Thus, all the probabilities are calculated.
Learn more about compound probabilities here:
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Step-by-step explanation:
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Answer:
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Answer:
If x is 6, y is 9
Step-by-step explanation:
In your equation, substitute 6 in for each x. This would be (6) + 3y = 4(6) + y.
This ends up being 6 + 3y = 24 + y.
After that, you can subtract y from both sides to get 6 + 2y = 24.
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A jogger is running with an initial speed of 5 m/s. The jogger then sprints to the finish line, increasing their speed to 10 m/s over 5 seconds. What is the jogger's acceleration in m/s squared?
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Select all the expressions equivalent to:
20a + 10b
a
5(4a + 2b)
b
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C С
2(10a + 5)
2(10a + 5b)
Od
Оe
5(4a - 2b)
Answers
Answer:
5(4a + 2b)
10(2a + b)
2(10a + 5b)
Step-by-step explanation:
we are trying to find equations equivalent to (20a + 10b), so distribute
5(4a + 2b) = 20a +10b YES
10(2a + b) = 20a +10b YES
2(10a +5) = 20a + 10 NO
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CAN SOMEONE HELP ME PLEASE!!!
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Answer:
i think this is right
Step-by-step explanation:
4
-20 2 -6 -18 4 -4 put them from least to greatest
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math work pls help :)
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the the answer is SAS
side angle side
7. The ratio of the weight of cement to the weight of sand in a concrete mixture is 1:3.
Complete the table to show the different weights of cement or sand in the concrete mixture.
Answers
Concrete
Proportions by Cement No. of 50 kg Sand to total aggregate
1:3:6 4.0 31
1:4:5 4.0 41
1:3:5 4.4 35
1:4:4 4.5 47
Please help it is due today
Answers
i think answer is 8in2
please talk me my answer is correct or not
Answer:
8 inches squared
Step-by-step explanation:
4 3/4 of a cube + 4 1/4 of a cube + 4 whole cubes
4 + 4 = 8
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Answer:
a
Step-by-step explanation:
1/4 divided by 3 = 1/(4*3) = 1/12
Find the simplest form
2 2
+
9.7
Answers
there's a random space in between the 2 and 2. not sure if it's meant to be 2.2 or 22 but i'll do both.
2.2 + 9.7 = 11.9
22 + 9.7 = 31.7
5
Evaluate the expression when x = 3 and y = 6
The product of 8 and a number x
Answers
Answer:
46
Step-by-step explanation:
First, we must write the mathematical form for "the product of 8 and a number x":
8
×
x
Then "6 more than this" would be:
(
8
×
x
)
+
6
So, to evaluate for
x
=
5
we substitute
5
for
x
and calculate:
(
8
×
5
)
+
6
→
40
+
6
→
46
Type the expression that results from the following series of steps:
Start with
x
, add 3, then times by 6.
Answers
Answer:
6x+18
Step-by-step explanation:
(x+3) * 6= 6(x+3)=6x+18
Answer:
6(x+3) or 6x +18
Step-by-step explanation:
x
add 3
x+3
times by 6
6(x+3)
simplify
6x+18
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4, and without replacing the number in the hat, select the number 3? Write your answer as a
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Shandra had $200 in her bank account on Monday. On Tuesday, she had a
debit of $50 and a credit of $25. How much money does Shandra have in
her bank account on Wednesday?
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Answer:
175
Step-by-step explanation:
Bryan has $15 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. How many mile can Bryan go without spending all $15
Answers
Answer:
3 miles.
Step-by-step explanation:
He has to pay 5 just to ride, and 2.50 per mile.
2.50(x)+5=15
2.50(4)+5=15
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I hope this helps
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Answers
Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
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Step-by-step explanation:
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SAS-AA-ASA-SSS mean
Answers
Answer:
sas means side angle side
aa means angle angle
asa means angle side angle
sss means side side side
hope it helps you
please mark me as brainlist
Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?
Answers
Cross multiply, and you have 3000 = 30x. x = 100 minutes, or 1 hour 40 minutes
The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.
What is the distance?Distance is defined as the product of speed and time.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Bert is driving along a country road at a constant speed of 30 miles per hour
To determine the time it takes for him to travel 50 miles.
Let the time of x minutes it takes for him to travel 50 miles.
⇒ 30 miles/60 minutes = 50 miles/ x minutes
Cross multiplication apply in above equation,
⇒ 30x. x = 60x50
⇒ 3000 = 30x.
⇒ x = 100 minutes, or
⇒ 1 hour 40 minutes
Learn more about distance here:
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Step-by-step explanation:
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Answer:
2: the relation of coefficient of is multiple of 2y
Which expression is equivalent to x^2 - 64?
Answers
Answer:
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Step-by-step explanation:
x^2-64
spilt into (x-8)(x+8)
set both equal to 0
0=x-8
x=8
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h/9 = 36 h=__?
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Answers
Answer:
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Step-by-step explanation:
The team won 18 of its 30 games. What was the team’s won-lost ratio?
Answers
Answer:
18:12 (accurate)
3:2 (simplified)
Step-by-step explanation:
The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:
30 - 18 = 12
The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:
won:lost ⇒ 18:12
18:12 is the ratio.
If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:
(18)/6 : (12)/6
3:2
3:2 is your simplified ratio.
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