Answer:
It is proved that A is idempotent if and only if
is idempotent.
Step-by-step explanation:
Case-1 : First assume that A is idempotent that is,
. We have to show by using this
. So,

Thus
is idempotent.
Case-2 :
Conversly, assuming
is idempotent, thet is,
. We have to show
. So,


Thus A is idempotent. Hence proved.
Answer:
Part A) Barbaroid will be executed
Part B) 75 more globin soldiers
Step-by-step explanation:
The army sizes of ORC leaders are
normally distributed with a mean of 5600 goblin soldiers and a standard deviation of 750 goblin soldiers.
The rule is that, if an Orc Leader shows up with an army of a z-score lower than
-1.5, he is immediately executed.
We want to determine whether Lord Barbaroid, an Orc Leader, who appears with an army of 4400 goblin soldiers,
based on the Orc Rule, will he be executed or not.
We find the z-score corresponding to 4400 using

We substitute x=4400 , the standard deviation and the mean to get:

Since Lord Barbaroid's z-score , -1.6 is less than -1.5 he will be executed.
Part B)
We want to find how many more goblin soldiers Lord Barbaroid have needed in order to NOT be executed and meet that Z-Score.
So we need to find the number of globin soldiers that corresponds to -1.5.




Therefore Barbaroid needed 4475-4400=75 more globin soldiers.
Answer:
y = 67°
Step-by-step explanation:
angles of rectangle are equal and 90°.
So,
23+y = 90
so, y = 67°
Answer:
the answer is 9/10
Step-by-step explanation:
I cant draw sorry(┬┬﹏┬┬)╰(*°▽°*)╯