Step-by-step explanation:
Average=total numbers of songs /registered users
Average= 4*10^9/5*10^7
Average=40*10^8/5*10^7
Average=8*10^(8-7)
Average=8*10^(1)
Average=80 songs downloaded per user
Answer:
base = e
Step-by-step explanation:
The general log function is defined as
.... (1)
where, a is the base of the log function.
The natural logarithm function is

It can be rewritten as
.... (2)
where, e is a constant or Euler's number is:
e ≈ 2.71828183
On comparing (1) and (2) we get

Therefore, the base of the natural logarithm function is e.
50%, .50, 1/2. This is because these are all ways to show half of something since 5 is half of 10.
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−12x+26=x
Step 2: Subtract x from both sides.
−12x+26 − x = x − x
−13x+26=0
Step 3: Subtract 26 from both sides.
−13x+26−26=0−26
−13x=−26
Step 4: Divide both sides by -13.
−13x/−13 = −26/−13
x=2
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (<em>X</em>) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (<em>X</em>) = n × P (<em>X</em>)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.