The duration of the class is uniformly distributed with a minimum of 50.0 minutes and a maximum of 52.0 minutes. This means the random variable for class duration
has density function
![f_X(x)=\begin{cases}\dfrac1{52.0-50.0}=\dfrac12&\text{for }50.0\le x\le52.0\\[1ex]0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=f_X%28x%29%3D%5Cbegin%7Bcases%7D%5Cdfrac1%7B52.0-50.0%7D%3D%5Cdfrac12%26%5Ctext%7Bfor%20%7D50.0%5Cle%20x%5Cle52.0%5C%5C%5B1ex%5D0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
You're looking for the probability that the class runs less than 51.5 minutes, or
, which is given by the integral
Answer:
The sum of coefficients = 9
Step-by-step explanation:
The given expression is,
3x⁴ + 5x² + x
There are three terms in the given expression. All the terms contains variable x.
<u>To find the coefficients of each terms
</u>
term coefficients
3x⁴ 3
5x² 5
x 1
<u>To find the sum of coefficients
</u>
sum = 3 + 5 + 1 = 9
Therefore the sum of coefficients = 9
Answer:
0
Step-by-step explanation:
5²x+5=5
5²x=5-5
25x=0
x=0/25
x=0
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Answer:
Step-by-step explanation:
Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.
Simplify like factor found in both the numerator and the denominator,
