Answer:
z score for officer1 is 1, he will be promoted.
z score for officer2 is 0.33, she will not be promoted.
Step-by-step explanation:
Officer 1 get 74 points. O1=74
Officer 2 get 68 points. O2=68
Mean of the exam is 65 and standart deviation is 9 . M=65 and s=9
1) z-score for O1 can be found using the formula:
=1
2) z-score of O2 is
=0.33
Promotion is gained if an officer (O), scores higher than 80% of the officers taking the exam. This means they need to be at least in the top 20% of the exam. Therefore we look for the corresponding z score for the P(z)=0.2 which is 0.8416. Since z-score of O1 is bigger that 0.8416, he promotes. Officer2 who got 68 from the exam cannot promote since corresponding z-score is less than 0.8416
Okay, here we have this:
Considering the provided expression, we are going to analize which exponential expression is equivalent, so we obtain the following:
As the property of the exponent of a multiplication says that it is equal to the product of each number raised to that power. We have this:

Finally we obtain that the correct answer is the option D.
Answer: 43,2
Step-by-step explanation:

Answer:
y=2x-1
Step-by-step explanation:
y=mx+b
insert Point (0,-1)
-1 = m * 0 + b
-1 = b
slope:
m = delta y / delta x
m = 2 / 1
m = 2