The weight of an orangutan is 64.5 kilograms
Solution:
It is stated that the orangutan's weight is 142 pounds
Additionally,
1 kilogram is approximately 2.2 pounds
We will now convert 142 pounds into kilograms
1 kilogram = 2.2 pounds
As a result, 142 pounds translates to
When rounding to the nearest tenth, we obtain 64.5 kilograms
Therefore the mass of the orangutan is 64.5 kilograms
The best conclusion is:
a. Failing to reject the null hypothesis.
Answer:
The cost difference per mile between the two companies is $0.12.
Step-by-step explanation:
Gabi formulates the equation to determine after how many miles, denoted as m, the charges of both companies will be equal.
The first company levies for m miles traveled.
The second company's charge for the same m miles is .
In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.
The values 0.22 and 0.1 represent the respective costs per mile.
As such, the disparity in per-mile charges amounts to .
An alternative method to tackle this problem is by calculating the per-mile rate for each company:
1. Cost per mile for the first company
2. Cost per mile for the second company
3. The difference:
Answer: Circle C has a radius of 7 cm.
Explanation:
Referring to the illustration below:
Let's denote the radius of circle C as x.
Circle A's radius can be represented as 2x.
Circle B's radius can be expressed as 4x.
The length of side AC in triangle ΔABC becomes x + 2x = 3x.
For side BC of triangle ΔABC, we get 4x + x = 5x.
Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.
Given that the perimeter of triangle ΔABC totals 98 cm.
Remember, the perimeter refers to the total length around the triangle.
Hence, Perimeter = 6x + 5x + 3x = 98 cm.
Thus, 14x = 98.
From this, we find x = .
Therefore, x = 7.
This concludes that the radius of circle C is 7 cm.
