A middle school chess club has 5 members: Adam, Bradley, Carol, Dave, and Ella. Two students from the club will be selected at r
1 answer:
Answer:
The chance of choosing Adam and Ella:
Detailed explanation:
Probabilities
The likelihood of an event E occurring is a figure that ranges between 0 and 1, including both ends, where 0 means the event cannot happen and 1 indicates the event will definitely occur. Various methods exist to calculate probabilities based on the specific context and distribution involved.
This issue can be addressed through basic computations and reasoning due to its straightforward nature. We recognize that the middle school chess club consists of 5 members: Adam, Bradley, Carol, Dave, and Ella. Two members will be randomly chosen to take part in the county chess tournament. We can determine the number of different ways this selection can happen without any limitations. This is referred to as the sample space.
The sample space for this situation involves all combinations of the 5 members without regard for order. Representing the members as {a,b,c,d,e}, the potential combinations are {ab,ac,ad,ae,bc,bd,be,cd,ce,de}. It is important to note that there are exactly 10 combinations because selecting ab is the same as selecting ba, as they form the same team for the competition.
The combination featuring specific members out of the total is just one among the ten. When we designate a=Adam and e=Ella, the only relevant combination is ae, while the remaining 9 do not include both individuals, leading to a probability of
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Answer:
Step-by-step explanation:
Step 1
Calculate the slope of the dashed line
The slope between two points is computed with the formula:
We consider
(-3,1) and (0,3)
and substitute into it:
Step 2
Determine the equation of the dashed line in slope-intercept form:
The equation we established is:
---> associated problem
Substituting yields:
Step 3
Establish the inequality corresponding to the graph
Given that it is represented by a dashed line, the area to the left of this line is shaded.
Thus,
Refer to the attached diagram for enhanced understanding of the problem.
