A normal distribution is most effective when dealing with a substantial sample size. Without knowing how many containers there are, it's challenging to determine if it’s suitable for modeling the container weights.
To plot the two functions, you need to assign values for x. By selecting various x values, corresponding y values are calculated. You then plot the points as shown. The blue line illustrates the function f(x) = 3x, while the orange line indicates f(x) = -x + 4.
These two lines intersect at the coordinates (1,3). To solve for this analytically, we establish the system of equations:
y = 3x
y = -x + 4
By setting these two equations for y equal to each other:
3x = -x + 4
4x = 4
x = 1
Next, substituting x into one of the original equations gives us: y = 3x = 3(1) = 3. Therefore, the solution is (1,3), meaning at a temperature of 3 units, the number of visitors entering matches those exiting the zoo, indicating a balance of one person entering for each one leaving.
Answer:
Step-by-step explanation:
Aligning each vocabulary term with its relevant example:
(1). All Americans = f. Population (a collective of items or subjects studied, e.g., residents of an area, the number of vehicles in a city, or employees in a workplace)
(2). The percentage of all Americans who strongly believe prisoners with life sentences who develop Alzheimer's should be released = c. Parameter (the figure summarizing a characteristic of a population)
(3). The percentage of the 85 surveyed Americans who strongly feel that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the characteristic of a sample that corresponds to a population parameter used for statistical inference)
(4). The responses being 'Strongly Agree', 'Agree', 'Disagree', or 'Strongly Disagree' = b. Variable (any measurable quality or characteristic)
(5). The 85 individuals surveyed = e. Sample (a subset of a population chosen based on certain criteria)
(6). The array of responses provided by the 85 participants = a. Data (the collected pieces of information meant for analysis)
Answer:
The speed is 2 1/2 miles per hour.
Step-by-step explanation:
To determine the rate, divide the distance by the time taken.
5/8 mile ÷ 1/4 hour
Applying the copy dot flip method:
5/8 * 4/1
Gives us 5/2 miles per hour.
Which simplifies to 2 1/2 miles per hour.
Answer:
miles per hour.
Step-by-step explanation:
The jogging path used by Selma is a loop measuring
of a mile.
On a certain Monday, Selma completed the loop in an hour.
Thus, by applying the common denominator technique, Selma's running rate in miles per hour will be
miles per hour.
The unit for this measurement is mph, or miles per hour. (Answer)