The probability of randomly picking out a red marble is 1/5
To determine the probability of randomly picking out a marble and it being red, we need to consider the total number of marbles and the number of red marbles.
Total marbles = 5 green + 3 blue + 2 red = 10 marbles
Red marbles = 2
So, we have
Probability = (Number of favorable outcomes) / (Total possible outcomes)
This gives
Probability = (Number of red marbles) / (Total marbles)
By subsituition
Probability = 2/10 = 1/5
Hence, the probability of randomly picking out a marble and it being red is 1/5
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Answer:
1/5
Step-by-step explanation:
Since there are 2 red marbles and since there are a total of 10 marbles, the probability is 2/10. This simplifies to 1/5. So the probability of picking a red marble is 1/5.
The equations are as follows where x represents the number of minutes the cell phone is used.
For plan one: Total cost = $20 + $0.15x
For plan two: Total cost = $35 + $0.10x
For both the costs to be the same, we need to use the cell phone for
300 minutes.
Equations are relations showing the value of one quantity related to another quantity when it can change. The changing value is the variable.
We are informed that one cell phone plan charges $20 per month plus $0.15 per minute used. A second cell phone plan charges $35 per month plus $0.10 per minute used.
We are asked to write and solve an equation to find the number of minutes you must talk to have the same cost for both calling plans.
Let the number of minutes the cell phone is used be x minutes.
Now we solve for equations for both plans in the following way:-
Plan one:
Charges $20 per month plus $0.15 per minute used.
When the use is for x minutes, the additional charge = $0.15*x = $0.15x
∴ Total cost = Fixed cost + Additional cost
or, Total cost = $20 + $0.15x.
Plan two:
Charges $35 per month plus $0.10 per minute used.
When the use is for x minutes, the additional charge = $0.10*x = $0.10x
∴ Total cost = Fixed cost + Additional cost
or, Total cost = $35 + $0.10x.
We are asked to find the number of minutes used so that the costs in both the plans are equal. To find this we equate the equation of total costs in both the cases to get:
$20 + $0.15x = $35 + $0.10x.
Subtracting ($20 + $0.10x) from both sides of the equation, we get
$20 + $0.15x - ($20 + $0.10x) = $35 + $0.10x - ($20 + $0.10x).
or, $20 + $0.15x - $20 - $0.10x = $35 + $0.10x - $20 - $0.10x.
or, $0.05x = $15
Dividing both sides of the equation by $0.05, we get
$0.05x/$0.05 = $10/$0.05
or, x = 300.
∴ We must talk for 300 minutes for both the plans to cost the same to us.
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Answer:
I think this the answer. you have to figure it out by analysis the graph
the answer is 240 centimeters
Answer:
240cm
Step-by-step explanation:
Answer:
B=8
Step-by-step explanation:
15² + b² = 17²
225 + b² = 289 (Subtract 289 - 225)
b² = 64 (Find the square root of 64)
√64 = 8
The simplified form of the given fraction 28/42 will be 2/3. The correct answer would be option (B) 2/3.
In arithmetic, the operation and interpretation of a function to make it simpler or easier to grasp is known as simplifying, and the process itself is known as simplification.
The fraction is given in the question, as follows:
28/42
Multiplication and divide by 14 into the above fraction,
(28/42) × (14/14)
Solving the above expression, we get
2/3
This is the simplified form of the given fraction.
Therefore, the correct answer would be option (B) 2/3.
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The complete question would be as:
What is the simplified form of the below fraction?
28/42
A. 3/2
B. 2/3
C. 2
D. 3