Answer:
840
Step-by-step explanation:
As the arrangement matters, we apply the permutations formula to find the solution.
Permutations formula:
The count of possible arrangements of x items chosen from a total of n items is defined by this formula:
For this problem:
Jose occupies the first seat.
The other four can be arranged among the remaining 7 family members. Thus
Hence, the final answer is:
840
114/6=9 parts per minute. 9 parts * 15 minutes= 135 parts
A. Mean and standard deviation.
The sampling distribution’s mean closely matches the population mean. Since the population mean is 174.5, the sampling distribution’s mean equals this value.
The standard deviation of the sampling distribution is:
σₓ̄ = σ / √n
Plugging in values:
σₓ̄ = 6.9 / √25 = 1.38
b. Calculate z-scores for both values:
z = (value - mean) / standard deviation
For 172.5:
z = (172.5 - 174.5) / 1.38 = -1.49
Corresponding probability ≈ 0.068
For 175.8:
z = (175.8 - 174.5) / 1.38 = 0.94
Corresponding probability ≈ 0.83
The difference between these probabilities is 0.762.
Approximately 0.762 × 200 = 152 sample means lie between 172.5 and 175.8.
c. Z-score for 172 cm:
z = (172 - 174.5) / 1.38 = -1.81
Probability ≈ 0.03
Hence, samples with means below 172 cm equal 0.03 × 200 = 6.
Hello! Dividing or multiplying a decimal by 10 is simpler than it may seem. When dividing by 10, shift the decimal point one place to the left. Conversely, when multiplying a decimal by 10, move the decimal point one place to the right. In this case, dividing 12.5 by 10 means shifting the decimal left one position, resulting in 1.25. Therefore, Lauren has covered 1.25 miles. To verify, you can multiply 1.25 by 10, which returns you to 12.5. The answer is 1.25! I hope this is helpful!
