A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that the second resistor is 100ω, given that the first resistor is 50ω?
Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by
Since we have given that
Total number of resistors =15
Number of resistors labelled with 50ω = 12
Number of resistors labelled with 100ω =3
Let A: Event getting resistor with 50ω
B: Event getting resistor with 100ω
Since A and B are independent events .
Now, According to question , we can get that
So, by using the conditional probability , which state that
So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by
liquid A has a density of 1.4 g/mL , liquid B has a density of 5.9 g/mL and liquid c has a density of 3.2 g/ mL. arrange the three liquids ina density column ( explain your answer)
Because the denser layers sink and the less dense layers float to the top, just like oil and water, the water is more dense than the oil, that is why the oil floats to the top and the water remains at the bottom:))
A circle has a diameter of 2.5 ft. What is the area of the circle, rounded to the nearest tenth?
Use 3.14 for π.
A bacteria culture is initially 10 grams at t=0 hours and grows at a rate proportional to its size. After an hour the bacteria culture weighs 11 grams. At what time will the bacteria have tripled in size?
A bacteria culture is initially 10 grams at t=0 hours & grows at a rate proportional to its size , After an hour the bacteria culture weighs 11 grams , The bacteria takes 11.56 hours to have tripled in size.
To find the time of bacteria when increasing the growth to tripled.
Given : when time=0 hours , weight=10 grams.
when time=1 hours , weight=11 grams.
To find: when time= ? hours , weight=30grams.
Here according to question, initial size = 10 grams we have asked for tripled in size i.e. 30 grams.
Now we knows that,
The formula for exponential growth in population or size is
Now, we put the value in formula we get,
Now when the bacteria increase its size to triple
Then, according to the formula we substitute values in the formula,
Therefore, The bacteria takes 11.56 hours to have tripled in size.
Learn more about logical questions here : brainly.com/question/15046576
Answer: It will take 11.56 hours .
Exponential growth in population or size formula :
, where = initial size
r= rate of growth
t= time period
As per given , we have
At t= 1 , P(t)= 11 grams
When, the bacteria have tripled in size , P(t) = 3 x10 = 30
Hence, it will take 11.56 hours .