Answer:
3x
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
sqrt(5x) cannot simplify to x*sqrt5 because the x variable is not squared.
Answer:
16 workers are required to complete the work in 45 days...
Step-by-step explanation:
12 workers are required to complete the work in 60 days
so... 60*12=720 workers are required to complete the work in 1 day
Hence,
720/45 = 16 workers are required to complete the work in 45 days.
If you would like to find the area of the base of the fountain, you can calculate this using the following steps:
1 2/3 ft * 2 2/3 ft = 5/3 * 8/3 = 40/9 = 4 4/9 square feet
The area of the base of the fountain is 4 4/9 square feet.
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.
