Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The sample size is n = 25
The combined resistance is 
Generally the sample mean is mathematically represented as
=> 
=> 
Generally the standard error of the mean is mathematically represented as
=> 
=> 
Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as
From the z table the area under the normal curve to the left corresponding to 1 is
It is 45 because complementary means 90
Answer:
AB = BC = 2√2
Step-by-step explanation:
Start by focusing on the 45 degree angle. The unknown AB is the side adjacent to this 45 degree angle, and the hypotenuse is known to be 4.
Thus,
cos 45 degrees = adj / hyp = AB / 4, or
AB = 4 cos 45 degrees = 4 (1 / √2) =
4 √2
----------- * --------- = 2√2
√2 √2
Since this is a 45-45-90 triangle, the two shorter sides are equal, and so BC = 2√2 also.
Answer:
See attached picture and description below.
Step-by-step explanation:
Graph each equation as you would graph any linear function. Plot the y-intercept for the first equation at (0,5) then move down 0.5 units and to the right 1 unit. This is the right boundary and should be plotted with an open circle. (red graph.
The second equation should be graphed starting at the y-intercept (0,-2.5) then proceeding down 0.5 units and over 1 unit to the right. (blue graph)
See graph below for complete graph.
