Answer:
The raw score for his exam grade is 99.69.
Step-by-step explanation:
Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.
To find : What is the raw score for his exam grade?
Solution :
The formula use to find the z-score is

Where, z=1.67 is the z-score
is the means
is the standard deviation
x is the raw score for his exam grade
Substitute the values,





Therefore, the raw score for his exam grade is 99.69.
Answer:
1.5%
Step-by-step explanation:
According to the Taylor rule, the federal funds rate targeted by the Fed is:

Where AI is the actual inflation (1%), DI is the desired inflation (2%) and PD is the deviation from potential (2%):

The Fed should target a federal funds rate of 1.5%.
Given: 

A.)Consider





Also,





Since, 
Therefore, both functions are inverses of each other.
B.
For the Composition function 
Since, the function
is not defined for
.
Therefore, the domain is 
For the Composition function 
Since, the function
is not defined for
.
Therefore, the domain is 
Answer:
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
Step-by-step explanation:
let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that
U≤ l and 1-U ≤l
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
this means 1-l≤U≤l
so we have
if we have L [1/2,1]
then apply the formula we have E(L)=3/4