Answer:
30 outfits
Step-by-step explanation:
First, come up with all the possibilties for one of the sweatshirts. So...
S11
S12
S21
S22
S31
S32
S41
S42
S51
S52
Count up all of those and then multiply it by three
10 * 3 = 30
Have a wonderful day!
Correct answer: A) A = the card is red, B = the card is black
Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.
Answer: 11.5%
Explanation:Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:

where

So, the z-score of 720 seconds is given by:

Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

Hence, there is
11.5% chance that the auditor will spend more than 12 minutes in an invoice.
Answer:
75 degrees
Step-by-step explanation:
Use trigonometry
we are given opposite(27) and hypotenuse(28), so use sin
sin=opp/hyp
sin(x)=27/28
x=arcsin(27/28)
x=74.64111442