Wanda encounters Hector after 4.5 hours. Wanda will not be able to reach Hector before the end of the race because at his current pace (16m/h), he would finish when both reach mile 72, while the race is only 42 miles.
To catch up with Hector at the finish line, Wanda must raise her speed to 21m/h. I have included the answers.
Answer:
8% likelihood that Anthony may soon join the Acme golf team
Step-by-step explanation:
The probabilities are as follows:
10% chance of being hired by the corporation.
If hired, an 80% probability of making the golf team is expected.
Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:
80% of 10%
Thus
P = 0.8*0.1 = 0.08
8% chance that Anthony will soon be part of the Acme golf team
189 tickets were purchased on Saturday. The ratio of children's tickets to adult tickets is 8:1, indicating that 8 times as many children's tickets were sold compared to adult tickets. Let c represent the number of children's tickets and a the number of adult tickets. Therefore, 8a = a + 147. By subtracting a from both sides, we find 7a = 147. Upon dividing both sides by 7, we find a = 21 adult tickets. By multiplying the number of adult tickets by 8, we discover that 21 * 8 = 168 children's tickets. Adding these together gives a total of 168 + 21 = 189 tickets sold on Saturday.
Response:
(a) 3, 5, and 6
Detailed explanation:
In this study, 43 participants will be treated with a gel containing tooth-whitening agents, while the remaining 42 will receive a placebo. Consequently, a placebo is in use.
The selection process for the 43 individuals receiving the gel will be random.
Post-experiment, the whiteness levels of both groups will be compared to analyze the gel's effect.
For true randomness in the experiment, options 3, 5, and 6 are applicable.
(b)
In order for the experiment to be double-blind, the evaluators analyzing the whiteness, as well as the participants, must not know which individuals were given the whitening gel versus the placebo.
