one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both
1 answer:
Answer:
y = -6.5 and x = 2
Step-by-step explanation:
Let one negative number be -y and another number be x
We are given that one negative number is 4.5 more than another number
So, -y=x+4.5
We are also given that The sum of the squares of these numbers is 46.25.
So,
x=-6.5,2
When x = -6.5
-y=x+4.5
-y=-6.5+4.5
-y=-2
y=2
When x = 2
-y=x+4.5
-y=2+4.5
-y=6.5
y=-6.5
So, y = -6.5 and x = 2
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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)=
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
Given:
The given expression is:
According to Kylie,
To find:
The correct statement for Kylie's explanation.
Solution:
We have,
According to the perfect square trinomial .
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.