Answer:
- At 1pm, the number of bacteria in the dish is 1,000,000
- At 12pm, the number of bacteria in the dish is 500,000
Step-by-step explanation:
Given the information on the table
We are to follow the pattern to determine how many million bacteria were in the dish at 1 p.m. and 12 p.m.
Now:
It therefore means that the bacteria population doubles every hour. Following this pattern and reducing the exponents by 1 backwards, we have:
Therefore:
- At 1pm, the number of bacteria in the dish is 1,000,000
- At 12pm, the number of bacteria is 0.5 million=0.5 X 1,000,000=500,000
Answer:
12
Step-by-step explanation:
The most common same number repeated is the mode.
Let x = 0.757575... . Then
100x = 75.757575...
and so
100x - x = 75.757575... - 0.757575...
99x = 75
x = 75/99 = 25/33
Answer:
Step-by-step explanation:
Add 9 to both sides
2x = -22
Divide both sides by 2
x = -11
Answer:
And we can solve for the value of x and we got:
![22.1 -[1*0.1 +10*0.1 +15*0.1 + 20*0.1 +25*0.1 ] = 0.5 x](https://tex.z-dn.net/?f=%2022.1%20-%5B1%2A0.1%20%2B10%2A0.1%20%2B15%2A0.1%20%2B%2020%2A0.1%20%2B25%2A0.1%20%5D%20%3D%200.5%20x)
Step-by-step explanation:
For this case we have the following distribution:
X 1 10 15 20 25 x
P(X) 0.1 0.1 0.1 0.1 0.1 0.5
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
The expected value is given by:
And replacing we have this:
And we can solve for the value of x and we got:
