Answer with explanation: Given that Circle 1 has a center at (−4, −7) and a radius of 12 cm, while Circle 2's center is at (3, 4) with a radius of 15 cm. Two circles are similar if one can be transformed and scaled to fit over the other, creating identical circles. The circles qualify as similar because the transformation rule (x,y) → (x+7,y+11) can be applied to Circle 1, followed by dilation using a scale factor of 5/4. Since Circle 1's center is at (-4,-7), we translate it to (3,4) through (-4+7,-7+11). With Circle 1 having a radius of 12 and Circle 2 having 15 cm, we denote the scale factor as k.
The minimum distance is the same from both points because their lengths are equal.
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:
Step-by-step explanation:
Imagine having a collection of n biased coins, and you draw m<n of them without replacement, subsequently measuring each coin i for its parameter pi∈[0,1], indicating that each coin behaves as Bernoulli(pi). Now, I am curious to determine the most probable pm+1 for the next coin I choose. The only method I can think of is calculating the average of the parameters of the m coins sampled thus far, which can be expressed as: p^m+1=p1+…+pmm.
