Area of a circle = pi x r^2
Area of circle = 150,000/ 1578 = 95.06 square miles
95.06 = 3.14 x r ^2
Divide both sides by 3.14
R^2 = 30.27
Find the square root:
R = sqrt(30.27)
R = 5.5
The radius is c) 5.5 miles
The area of a triangle is 1/2(base)(height) and since this is a right triangle the two legs can be base and height. So the area is 1/2(2x-4)^2 which becomes 1/2(4x^2-16x+16) which is simplified to 2x^2-8x+8. B is the correct answer.
Answer:
<u>The correct answer is B. 1/729</u>
Step-by-step explanation:
1. Probability of any of the nine words would be randomly cited.
Using the Laplace Rule, we calculate that probability is 1/9
2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,
1/9 * 1/9 = 1/81
3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order. The question was specific about the order.
1/9 * 1/9 * 1/9 = 1/729
<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>
Answer:
8.0
Step-by-step explanation:
Answer:
<h2><em><u>
3.24</u></em> </h2>
<em><u>= yes, because the sqrt of 3.24 is 1.8</u></em>
<h2><em><u>
20.25</u></em></h2><h3>= yes, because the sqrt of 20.25 is 4.5</h3>
