Answer:
-1
Step-by-step explanation:
Answer:
Almost 2.5% of the students spent more than $275 in a semester.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 235
Standard deviation = 20
According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester?
95% of the measures are within 2 standard deviation of the mean. The other 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of those are below two standard deviations of the mean and 2.5% are more than two standard deviations above the mean.
235 + 2*20 = $275
Almost 2.5% of the students spent more than $275 in a semester.
<span>1800 = -3p^2+70p+988
0 = -3p^2+70p - 812
Using the discriminant means taking the section of the quadratic formula:
âšâ€‹(b^2)â’4ac
And by plugging in the values of our formula we get:
âšâ€‹(70^2)â’4*-3*-812
Which yields:
âšâ€‹4900 â’ 9744
Since this is a square root of a negative number, it says there is no real solution for the formula, which makes sense because the formula is a quadratic that is pointing downwards (a = -3p^2) and underneath the number line (c = -812).
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Log of 0 or <0 does not exist
so x + 6 must be > 0
so the domain is (-6, +infinity)
or x > -6
