Answer:
The probability that exactly one switch is good is

Step-by-step explanation:
The probability that a switch is defective is:

The probability that a switch is not defective is

Therefore, if two switches are selected, the probability that exactly 1 is good is:



The mode is the number that occurs the most so if you look at the numbers, thee only one that occurs twice is 5 so 5 is the mode.
Answer:
The answer is

if I am not wrong
Step-by-step explanation:
First you need to convert 45 degress to radians,then you use the arc length formula which is = thr radius * the angle to get the answer
Answer:60 male staff
Step-by-step explanation:
Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.
Answer: y = -35x + 105
Step-by-step explanation:
The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).
The definition of slope is
m = (y2 - y1)/(x2 - x1)
= (0-105)/3-0
= -105/3
= -35
The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:
y = -35x + 105