Answer:
see the explanation
Step-by-step explanation:
<em><u>The question is </u></em>
Identify the domain and the range, using words and inequalities
Let
x -----> the number of kilowatt-hours (kWh) of electricity per month
y ----> the price per month
we know that
Part 1) For the value of x between 0 kWh and 400 kWh
The price is equal to
therefore
The domain is the interval ------> [0,400)
The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh
The range is ($30)
The range is equal to $30
Part 2) For the value of x equal to 400 kWh or more per month
The domain is the interval -----> [400, infinite)
The domain is all real numbers greater than or equal to 400 kWh
The price is
<em>Find the range</em>
For x=400 kWh
so
The range is the interval -----> [38.8, infinite)
Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;
For the case given, the z score will be;
Answer: translation
Step-by-step explanation: it can be translation
Answer:
tenth =142.0,hundredth =141.00,
Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
