There is no solution.
Step-by-step explanation:
Given:
y = 2x + 1
4x - 2y = 4
Substitute y = 2x + 1 into 4x - 2y = 4
4x - 2(2x + 1) = 4
4x - 4x - 2 = 4
0x = 4 + 2
0x = 6
Anything to the multiple of zero is zero. Hence 0x = 0, and 0 ≠ 6
So there is no solution to the equation.
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.
Answer:
(8,-3)
Step-by-step explanation:
I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.
Hope this helps!
9514 1404 393
Answer:
a. 40
b. 0
c. 50
Step-by-step explanation:
a) 46 + (-2k) for k = 3 is ...
46 + (-2(3)) = 46 -6 = 40
__
b) 46 + (-2k) for k = 23 is ...
46 + (-2(23)) = 46 -46 = 0
__
c) 46 + (-2k) for k = -2 is ...
46 + (-2(-2)) = 46 +4 = 50

the equation is the horizontal line which parts through (-5,6), since it has no slope.