Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
The result is 3.6y. By multiplying 0.3 by 12, we arrive at 3.6, and we include the variable y.
Response:
= 270 ⇒ Previous solution
Detailed breakdown:
* Given f(x) = 7 + 4x
* Given g(x) = 
* We aim to determine
- Initially, let’s calculate 
∵ f(x) = 7 + 4x
∵ g(x) =
∴ 
- Let’s perform division of the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is
∴ (7 + 4x) ÷
- Now we will change the division sign to a multiplication sign and take the reciprocal of
the fraction following the division sign
∴ (7 + 4x) × 
∴ = 2x(7 + 4x)
∴ = 14x + 8x²
- Next, substitute x with 5
∴ = 14(5) + 8(5)² = 70 + 200 = 270
∴ = 270
1 product = $65.00
20 products = 65 x 20 = $1300
Sales Tax is 3.5% of $1300 = 0.035 x $1300 = $45.50
Grand total = $1300 + $45.50 = $1345.50
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Response: $1345.50
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Answer:
A), B), and C) are clarified below.
Step-by-step explanation:
The inquiry involves using binary digits, employing probabilities that are equal for both conditions, by applying a random test pattern, where the formula is derived from p = q.
Simplifying gives us
P[k] = nCk / 2^n
A. Probability of all bits being 1s
16c16/2^16 = 1/65536
B. Probability of all bits being 0s
16c0/2^16 = 1/65536
C. The probability of having exactly 8 bits as 1s and the other 8 as 0s
16c8/2^16 = 12870/65536 => 0.1963 ≈ 19.63%
