Answer:
The total length of the border is 31.4 yards rounded to the nearest tenth of a yard
Step-by-step explanation:
The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
Jason used wire fencing to form a border around a circular region in his back yard
<em>That means the length of the wire is equal to the circumference of the circular region</em>
∵ The radius of the circular region was 5 yards
∴ r = 5 yards
∵ C = 2πr
- Substitute r by 5
∴ C = 2π(5)
∴ C = 31.41592654 yards
- Round it to the nearest tenth of a yard
∴ C = 31.4 yards
∵ The length of the wire is equal to the circumference of
the circular region
∴ The length of the wire is 31.4 yards
The total length of the border is 31.4 yards rounded to the nearest tenth of a yard
Answer:
- Using conditional probabilities it can be shown that the results are influenced by the gender.
Explanation:
To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.
If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.
The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.
The probability of preferring hot dogs by the whole sample is:
- Number of males that prefer hot dogs: 184 (stated by the problem)
- Number of females that prefer hot dogs:
100% - 34.2% = 65.8%
65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418
- Samples size: 542 males + 635 females = 1177
- Probability of preferring hot dogs =
number of students that preffer hot dogs / number of students =
(184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%
Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.
Answer:
18
Step-by-step explanation:
The centroid divides the median into 2 parts from the vertex to one point to the opposite side of the vertex where the median starts.
Put into simpler language. HB is twice as long as HF
If Hf is 6 then HB is 12. BF is the total length of both or 6 + 12 = 18
Answer:
no he is incorrect
Step-by-step explanation:
distance between the islands would have to be at least `8` since the points are not vertical.
