Answer:
From the picture when the input of f(x) is 6 the output is 8
So it's just the reverse f^-1(8) when the input is 8 the output is 6
So f^-1(8) = 6
Hope this helps you
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
Answer:
a) The probability that all five are brand A is 0.0288
b) The probability that exactly two bottles are brand A is 0.0288
c) The probability that none of the bottles is brand A is 0.0048
Step-by-step explanation:
We have 9 bottles of brand A and 7 bottles of brand B.
The total of bottles is 16.
a) The probability that all five bottles are brand A is given by:

b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:

c) The probability that none of the bottles is brand A is the same as picking 5 brand B bottles:

Answer:
–90° and 630°
Step-by-step explanation:
The described angle will be -90° plus any integer multiple of 360°. Possible values for the angle are ...
-90° and 630°
_____
Angles are conventionally measured counterclockwise from the positive x-axis. The angle shown in the attachment is measured clockwise, so represents a <em>negative</em> 90° angle.