Is that 6 or negative 6? I'll do both situations, as I can't tell (sorry!)
With negative 6:
-6 < 3 < 5
With positive 6:
3 < 5 < 6
Answer is 112.5 mL
You add 45 and another 45 to get 90 mL for 200g, and divide 45 by 2 to get 22.5 for the 50g left and you add all up 90+22.5=112.5
Answer:
The first quartile of the distribution of gas mileage is 19.6925 mpg.
Step-by-step explanation:
Problems of normally distributed samples can be solved using 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 problem, we have that:

What is the first quartile of the distribution of gas mileage?
The first quartile has a proportion of 0.25. So this is the value of X when Z has a pvalue of 0.25. It happens between Z = -0.67 and Z = -0.68, so i am going to use 
So




The first quartile of the distribution of gas mileage is 19.6925 mpg.
Answer:
720 cm^3
Step-by-step explanation: