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
c) Step-by-step breakdown: The collision rate is 1.2 incidents per 4 months, which can be expressed as 0.3 incidents monthly. Therefore, the Poisson distribution for the variable X representing monthly collisions is defined as P(X = x) =... for x ∈ N ∪ {0} = 0 otherwise. (1) Where X = 0 denotes no collisions during a 4-month timeframe, substituting gives P(X = 0) =... (2). For a 4-month period, P(No collision in 4 month period) =... (3). Two collisions in a 2-month span translate to 1 per month, thus P(X =1) =... (4). Over 2 months, P(2 collisions in a 2 month period) =... (5). One collision over a 6-month period equates to P(1 collision in 6 months period) =... (6). Consequently, P(1 collision in 6 month period) results in... (7). For no collisions in a 6-month period, P(No collision in 6 months period) =... (8). Finally, the probability of 1 or fewer collisions over six months is P(1 or fewer collision in 6 months period) = (8) + (7) = 0.0785 + 0.1653.
Here, 'a' relates to 0.
There are two scenarios for 'r' and 't'.
Scenario 1.
Both are positioned on the same side to the right of 'a'.
In this case, 'r' would equal 5, and 't' would equal 7.
The midpoint between 'r' and 't' is 
.
Scenario 2.
If both are found to the left of 'a'.
Then 'r' would equal -5, while 't' would equal -7.
The midpoint is 
.
Scenario 3.
If 'r' is right of 'a' and 't' is left of 'a'.
Thus 'r' equals 5 and 't' equals -7.
The midpoint is 
.
Scenario 4.
If 'r' is left of 'a' while 't' is right of 'a'.
In this case, 'r' corresponds to -5 and 't' corresponds to 7.
The midpoint is 
.
The potential midpoint coordinates for 'rt' are 6, -6, 1, and -1.
Answer:
Step-by-step explanation:
Cheapstore:
500p divided by 10 equals 50p, multiplied by 2 gives 100p or £1
£4 corresponds to 600g
Superstore:
600g divided by 10 results in 60g, which when multiplied by 3 yields 180g, added to 600g
£5 equals 780g
600 divided by 4 amounts to 150g for each pound
780 divided by 5 results in 156g for each pound
The box from the Superstore offers the best value
Detailed explanation:
Thus,
100% plus 8% equals 108%
108% equals 1215
1% corresponds to 11.25
Therefore, 100% amounts to 1125 rs
