75x - 35 ≥ 77x + 63 + 4 Distributive property.
75x -35 ≥ 77x + 67 Combine like terms.
-2x - 35 ≥ 67 Subtraction property of equality.
-2x ≥ 102 Addition property of equality.
<span>x ≤ 51 Division property of equality.</span>
The answer is D= undefined :)
Answer:
x<9
Step-by-step explanation:
this was kinda easy
Answer:
At most 9.12 joules should be required for the bottom 80% of bottled water
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 question, we have that:
![\mu = 8.7, \sigma = 0.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%208.7%2C%20%5Csigma%20%3D%200.5)
How much energy should be required for the bottom 80% of bottled water?
At most the 80th percentile.
The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.
![X - 8.7 = 0.84*0.5](https://tex.z-dn.net/?f=X%20-%208.7%20%3D%200.84%2A0.5)
![X = 9.12](https://tex.z-dn.net/?f=X%20%3D%209.12)
At most 9.12 joules should be required for the bottom 80% of bottled water