The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.
77%
I prefer using ratios and cross multiplication for scenarios like this. Divide the part (1001) by the whole (1300), and set that equal to x percent of 100 percent.
1001/1300 = x/100
100100 = 1300x
x = 77
Answer:
The graph for the prepaid plan will exhibit a steeper slope and a lower y-intercept.
I trust this information is correct.
Step-by-step explanation:
prepaid plan: y =.20x
contracted plan: y =.02x + 50
A is confirmed as correct since -13 falls within the domain of g(x), and 20 is included in its range. For g(x), the inequality holds: -20 < -13 < 5 and -5 < 20 < 45. B is incorrect since the number 4 exists within the domain of g(x), but -11 is not within its range, represented by -20 < 4 < 5 and -11 < -5. C is likewise incorrect, as it is stated that g(0) equals -2. D is also false since 7 does not belong to the domain of g(x).
Response:
e. 545
Detailed explanation:
In a survey sample containing n individuals, with a success probability of 
, and a confidence level of 
, the ensuing confidence interval for proportions is established.
Wherein
z denotes the z-score corresponding to a probability value of 
.
For this scenario, we find:
The estimate averages the two bounds. Thus 
95% confidence level
Consequently, z represents the z value corresponding to the p-value of 
, hence 
.
The lower boundary of this interval is:
In this query, L = 0.82. Therefore
Thus, the accurate response is:
e. 545
