Write a unit rate for the situation. Round to the nearest hundredth if necessary.
2 answers:
Answer: The correct option is
(D) 0.85 miles/min.
Step-by-step explanation: We are given to find the unit rate for the following situation :
"driving 140 miles in 2 hour 45 min."
We know that
1 hour = 60 minutes.
So, we get
2 hours 45 minutes = 2 × 60 + 45 = 120 + 45 = 165 minutes.
Now, we will use the UNITARY method.
In 165 minutes, distance drove = 140 miles.
Therefore, in 1 minutes, distance drove is given by
Thus, the required unit rate is 0.85 miles/minute.
Option (D) is CORRECT.
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Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.