Answer:
Step-by-step explanation:
a) this graph is that of a parabola that opens up. As is the case for all parabolas, the domain is the set of all real numbers. The range begins with the smallest y-value, which is -4, extending upwards from there: [-4, infinity)
b) this graph's shape most closely resembles that of a polynomial; as we move from left to right, y increases, reaches a local maximum, decreases to a local minimum, and then continues to increase with x. As is the case for all polynomials, the domain is the set of all real numbers. As we move from x = 0 to the left, y decreases without bound; from x ≥ 12 onward, y increases without bound; thus, the range is (-infinity, +infinity).
c) The graph represents a quarter of an ellipse for which x begins at -40 and ends at [4, -16]. Thus, the domain is [-40, 4]. By inspection we see that the smallest y value is -16 and the largest is 4; thus, the range is [-40, 4].
Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:
Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:
The probability of rolling a 4 in the three dices are as follows:
Compute the value of E [Z] as follows:
Thus, the value of E [Z] is 0.50.
(-2,-8) is what I got after reflecting it off the y=x line.
Answer: 6
-3x-8=10
-3x=18
x=6
When g(x) is equal to 10, x is equal to 6. So, g(6)=10
Answer:
The correct option for the answer is C.) $3.29 / $2.96
Step-by-step explanation:
i) national average for a gallon of gas = $2.74
ii) for transportation New York is 1.2 times the National average
therefore one gallon of gas in New York will cost = 1.2 
$2.74 = $3.29
iii)for transportation Los Angeles is 1.08 times the National average
therefore one gallon of gas in New York will cost = 1.08 $2.74 = $2.96
Therefore you should expect to pay for gas in New York versus Los Angeles C.) $3.29 / $2.96
