In the following table y is proportional to x.
2 answers:
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Answer:
The probability that it will still be working after one week is
Step-by-step explanation:
Given :
Total number of bulbs = 25
Number of bulbs which are good condition and will function for at least 30 days = 5
Number of bulbs which are partially defective and will fail in their second day of use = 10
Number of bulbs which are totally defective and will not light up = 10
To find : What is the probability that it will still be working after one week?
Solution :
First condition is a randomly chosen bulb initially lights,
i.e. Either it is in good condition and partially defective.
Second condition is it will still be working after one week,
i.e. Bulbs which are good condition and will function for at least 30 days
So, favorable outcome is 5
The probability that it will still be working after one week is given by,
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!