9 over 3x = 4 over x + 2
1 answer:
The equation that we have been given is:
=
In order to solve for the value of 'x', we'll have to use cross-multiplication.
Cross-multiplication is a method in which the numerator of one fraction is multiplied by the denominator of another fraction that it is equal to.
Let's cross-mutliply the numerators and denominators:
=
9*(x+2) = 4*(3x)
Distribute the numbers into the parentheses.
9x + 18 = 12x
Simplify by subtracting both sides by 9x:
9x - 9x + 18 = 12x - 9x
0 + 18 = 3x
18 = 3x
3x = 18
Divide both sides by 3:
=
<u>x = 6</u>
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Let me know if you'd like me to explain anything I did here.
- breezyツ
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Answer:
C. 34.15 oz
Step-by-step explanation:
Problems of normally distributed samples are 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:
How heavy does a box have to be for it to be labeled overweight?
Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.
So X when Z = 1.645.
So the correct answer is:
C. 34.15 oz