martin has a snack box containing peaches and...
martin has a snack box containing peaches and apples. he told elena that the probability that she randomly selects a peach is $\frac{1}{4}$. which of the following can be the contents of the box? a. 3 peaches and 9 apples b. 5 peaches and 5 apples c. 12 peaches and 4 apples d. 2 peaches and 8 apples the top three finishers in a bicycle race completed a 5 - question survey about the race conditions. which is the most likely cause of bias in the survey results? a. the survey was completed after the race. b. the survey included only 5 questions. c. the survey was completed by the top finishers in the race. d. the survey was given to people who competed in the race.
Answer
### Question 7
# Explanation:
## Step1: Recall probability formula
The probability of selecting a peach $P(\text{peach})=\frac{\text{number of peaches}}{\text{total number of fruits}}$.
## Step2: Check option A
For 3 peaches and 9 apples, total fruits = 3 + 9=12. $P(\text{peach})=\frac{3}{12}=\frac{1}{4}$.
## Step3: Check option B
For 5 peaches and 5 apples, total fruits = 5 + 5 = 10. $P(\text{peach})=\frac{5}{10}=\frac{1}{2}$.
## Step4: Check option C
For 12 peaches and 4 apples, total fruits = 12+4 = 16. $P(\text{peach})=\frac{12}{16}=\frac{3}{4}$.
## Step5: Check option D
For 2 peaches and 8 apples, total fruits = 2 + 8=10. $P(\text{peach})=\frac{2}{10}=\frac{1}{5}$.
# Answer:
A. 3 peaches and 9 apples
### Question 8
# Brief Explanations:
A survey of only the top - finishers in a race is likely to be biased because top - finishers may have different experiences and perspectives compared to other racers. They may have had an easier time with the race conditions due to their skill level, so their responses may not represent the experiences of all participants.
# Answer:
C. The survey was completed by the top finishers in the race.