Step-by-step explanation:
step one Distribute
x−45=8(2x+3)−18
x−45=16x+24−18
step two Subtract the numbers
x−45=16x+24−18
x−45=16x+24−18
12 People would be able to have 1 half kilogram of chocolate.
In order to solve this problem you have to multiply 6 by 2. There are two halves in a whole. 6 times 2 is equal to 12.
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
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:

Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645




Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645




Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
It's a number that can be expressed as a fraction, the numerator and the denominator of which, are integers.