Answer:
93.32% probability of obtaining a value less than or equal to -7.
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:

What is the likelihood of obtaining a value less than or equal to -7?
This is the pvalue of Z when X = -7.
So




has a pvalue of 0.9332.
So there is a 93.32% probability of obtaining a value less than or equal to -7.
The number of glasses is restricted to 44 cups. So the number of iced tea cups and the number of lemonade cups that she can serve is, maximum, 44. Then, if you call x the number of glasses of iced tea and call y the number of glasses of lemonade, you have that the total number of glasses (cups) is x + y. And <span>the equation that represents the number of glasses that she cacn serve is x + y = 44. You can place it in other equivalent ways, for example, solve for y: y = 44 - x. Those two equations are valid answers because they represent the same equation.</span>
Answer: 4b(b-2)
Step-by-step explanation: The terms 4b^2 and -8b have two things in common: they are multiples of 4 and both have at least one b. Therefore, you can pull it out of the polynomial. This would give you 4b(b-2).
I think it’s -2-13x if I’m not mistaken
If it's 5cm x 5 cm x 5cm
Volume is a3
so 125cm