The inequality that represents how much money Caroline needs to earn will be m>35.
In this case, Caroline needs an amount that's greater than $35, therefore, the amount must be greater than $35
From the options given, the correct inequality will be m>35. This means m is greater than $35.
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Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.




10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.




From above

So




The mean is

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
276
Step-by-step explanation:
1 - 1/3 - 5/12 = 1/4
1/4 is the fraction of the vegetarian guests
1 is the total number of guests
so you multiply 69 by 4 and 276 is your answer
let me know it it is correct :)
Given:
A line passes through (1,-2) and is perpendicular to
.
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.

Slope of this line is



Product of slope of two perpendicular lines is -1.



Now, slope of required line is
and it passes through (1,-2). So, the equation of line is

where, m is slope.





Therefore, the equation of required line is
.