This problem can be addressed by applying the normal approximation to a binomial distribution.
Calculations:
Mean (μ) = np = 10,000 × 0.5 = 5,000
The standard deviation (σ) is given by:
The probability of obtaining more than 5,100 tails is 0.0228, whereas the probability of fewer than 5,100 tails is 0.9772.
Thus, the odds of having more than 5,100 tails are:
0.0228 : 0.9772 = 1 : 42.86.
Complete Question
The entire question can be found in the first uploaded image
Answer:
The expense for acquiring 100 shares of ODX group Inc and 300 shares of peer Comms Lts is
Step-by-step explanation:
From the chat, the expense for 100 shares of ODX is 
The price of 100 shares of peer Comms Lts is 
Thus, the cost for 300 shares of peer Comms Lts amounts to 
Overall, the total cost for 100 shares of ODX group Inc and 300 shares of peer Comms Lts can be calculated as
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:
1. $14.88
2. $12.40
Step-by-step explanation:
Translated into English:
A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.
Solution:
For 425 km at R $2.10 per km:
425 * 2.10 = $892.50 total expenditure
For the 60 assembled cabinets, the cost for each is calculated as:
Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88
When disassembled, the capacity becomes:
60 * 6 = 360
The cost per cabinet is then:
892.5/360 = $2.48
The savings indicate how much is saved compared to assembled cabinets:
14.88 - 2.48 = $12.40
Savings = $12.40
Answer:
Begin by selecting two points from the data. Determine the difference between the second y-coordinate and the first y-coordinate. Next, take that difference divided by the difference between the second x-coordinate and the first x-coordinate.
Step-by-step explanation:
