Answer:
Step-by-step explanation:
lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.
120/2=60
120/3=40
120/4=30
we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.
do not forget there is only one x so it must stay in side the radical.
your answer is 2sqrt(30x)
Answer:
The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.
Step-by-step explanation:
Let <em>X</em> = number of students who have laptops.
The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.
A random sample of <em>n</em> = 30 students is selected.
The event of a student having a laptop is independent of the other students.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The mean and standard deviation of a binomial random variable <em>X</em> are:

Compute the mean of the random variable <em>X</em> as follows:

The mean of the random variable <em>X</em> is 1.11.
Compute the standard deviation of the random variable <em>X</em> as follows:

The standard deviation of the random variable <em>X</em> is 0.836.
(−2, 2)
3(2) + (-2) = 4
6 - 2 =4
4 = 4 .............TRUE
2(2) − (-2) = 6
4 + 2 = 6
6 = 6 ..............TRUE
Answer:
a. It is (−2, 2) and lies on both lines.