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:
13
Step-by-step explanation:
(3-2i)(3+2i) = 9 + 6i - 6i - 4i^2
9 - 4i^2
9 + 4 = 13
The question that can complete the given word problem is, The material comes in pieces of 5 years each. <em>How many </em><em>pieces</em><em> of </em><em>materials </em><em>are needed to </em><em>make a coat</em><em>?</em>
<h3>What question can be formed?</h3><h3 />
You are given the number of yards that are needed to make a coat so the question should be centered around that.
Questions that go best with such information are those that have to do with solving for the number of materials that would be needed to make the coat.
You can therefore supply the length of each piece of material, and then find out how many materials would then be needed to make a coat.
Find out more on formulating questions at brainly.com/question/11876376.
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x-intercept is for y = 0.
Put y = 0 to the equation of a linear function:
4x - 3(0) = 24
4x - 0 = 24
4x = 24 <em>divide both sides by 4</em>
x = 6
<h3>Answer: x-intercept = 6 → (6, 0)</h3>