Simplify the expression
2 answers:
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Answer:
C) y=x^2+x-6
Step-by-step explanation:
Looking at the first picture, the equation is way too high, thus A is incorrect
Looking at the second picture, the equation is also too high, thus B is incorrect
Looking at the third picture, the equation is at the graph, thus C is correct
Looking at the fourth picture, the equation is more at the right than at the left thus the equation is incorrect
Hope this helps!
we know that
The formula of the surface area of the cone is equal to
where
SA is the surface area
r is the radius of the cone
l is the slant height
in this problem we have
Solve the formula for l
substitute the values
therefore
<u>the answer is</u>
The slant height is
Answer:
85.31% probability that their mean rebuild time exceeds 8.1 hours.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.
This is 1 subtracted by the pvalue of Z when X = 8.1. So
By the Central Limit Theorem
has a pvalue of 0.1469
1 - 0.1469 = 0.8531
85.31% probability that their mean rebuild time exceeds 8.1 hours.