It is probably a rectangle so u see the answer would make s eve but in your mind does it
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.
Answer:

Step-by-step explanation:
To take the inverse of a function, swap x with y and vice versa. Therefore, the inverse of y = 3^x is x = 3^y. However, because we are being asked for a <em>function</em>, we have to rewrite this equation by isolating y. We do this with logarithms:

Hence the answer.
Answer:
<em> = n² + 4n ; n = 11 </em>
Step-by-step explanation:
=
[2
+ (n - 1)d]
~~~~~~~~~
= 5
d = 7 - 5 = 2
=
[ 2(5) + 2(n - 1)] =
( 8 + 2n ) = 4n + n²
<em> = n² + 4n</em>
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ <em>n = 11</em>