Answer:
a)0.7
b) 10.03
c) 0.0801
Step-by-step explanation:
Rate of return Probability
9.5 0.1
9.8 0.2
10 0.3
10.2 0.3
10.6 0.1
a.
P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)
P(Rate of return is at least 10%)=0.3+0.3+0.1
P(Rate of return is at least 10%)=0.7
b)
Expected rate of return=E(x)=sum(x*p(x))
Rate of return(x) Probability(p(x)) x*p(x)
9.5 0.1 0.95
9.8 0.2 1.96
10 0.3 3
10.2 0.3 3.06
10.6 0.1 1.06
Expected rate of return=E(x)=sum(x*p(x))
Expected rate of return=0.95+1.96+3+3.06+1.06=10.03
c)
variance of the rate of return=V(x)=![sum(x^2p(x))-[sum(x*p(x))]^2](https://tex.z-dn.net/?f=sum%28x%5E2p%28x%29%29-%5Bsum%28x%2Ap%28x%29%29%5D%5E2)
Rate of return(x) Probability(p(x)) x*p(x) x²*p(x)
9.5 0.1 0.95 9.025
9.8 0.2 1.96 19.208
10 0.3 3 30
10.2 0.3 3.06 31.212
10.6 0.1 1.06 11.236
sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681
variance of the rate of return=V(x)=sum(x²*p(x))-[sum(x*p(x))]²
variance of the rate of return=V(x)=100.681-(10.03)²
variance of the rate of return=V(x)=100.681-100.6009
variance of the rate of return=V(x)=0.0801
Answer:
The restaurant Manager can afford 6 employees for the day.
Step-by-step explanation:
Manager can spend at most of $400.
Total Money ≤ $400
Cost to operate bank = $100
Cost for each employee = $50
Let number of employees for the day be
Hence the equation will become;
Solving this equation we get;
Hence, The restaurant Manager can afford 6 employees for the day.
Step-by-step explanation:
15 = |x| - 5
|x| - 5 = 15
|x| = 15 + 5
|x| = 20
x = ±20
x = -20 or 20
Option → B
Answer:
its d b/sinB=c/sinC
Step-by-step explanation: trust me
Answer:
Therefore Anjeli is correct and
is TRUE.
Step-by-step explanation:
Given:
Label on triangle as ΔABC right angle at C such that
AB = c .....(Hypotenuse)
AC = b ....(Longer leg)
BC = a ....(Shorter leg)
To Prove:
Proof:
We know, in Right angle triangle ABC by Pythagoras theorem we get,
Substituting the values we get
...............( 1 )
Now the Left hand side of what Anjeli wrote is
Left hand side = (a+b)²
Using identity (A+B)² = A²+ B² + 2AB we get
Left hand side = a²+ b² + 2ab
From ( 1 ) we have 
Substituting we get
Left hand side = c² + 2ab ...........................( 2 )
Now,
Right hand side =
Dividing 4 by 2 we get 2, hence
Right hand side =
.........................( 3 )
Therefore,
Left hand side = Right hand side From ( 2 ) and ( 3 )
..True
Therefore Anjeli is correct and
is TRUE.
