Answer:
Step-by-step explanation:
(23,0)
23 computers
the they make 0 dollars
Answer:
P(2.5≤X≤4) = 0,3125
Step-by-step explanation:
We know that the area under the curve of ANY probability distribution should not be greater than 1.
In this case, we now that 4P = 1, therefore, P=1/4. Where 'P' represents the height of the rectangle that represents the probability distribution.
The probability of P(2.5≤X≤4) will be given by the area of the following rectangle:
(4 - 2.5) × 1,5 = 0,3125
Therefore, P(2.5≤X≤4) = 0,3125
Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
Answer:
22.5 years to the nearest tenth.
Step-by-step explanation:
The equation is
6000 = 4000(1 + 0.018/12)^12t where t = the number of years
(1 + 0.018/12)^12t = 1.5
1.0015^12t = 1.5
Taking logs:
12t log 1.0015 = log 1.5
12t = log 1.5 / log 1.0015
12t = 270.51
t = 22.54 years.
