Answer:
14.656%
Step-by-step explanation:
Data provided in the question:
Rate of return, r = 4% = 0.04
Risk aversion of A = 1.85
Standard deviation, σ = 24%
Now,
we have the relation
A = (E - r) ÷ σ²
E = expected return on portfolio
r = Risk free rate
on substituting the respective values, we get
1.85 = (E - 0.04) ÷ (0.24)²
or
0.0576 × 1.85 = (E - 0.04)
or
0.10656 + 0.04 = E
or
E = 0.14656 or
E = 0.14656 × 100% = 14.656%
Answer: 8.5 cups of flour.
Step-by-step explanation: So he first has 19/2 cups of flour, 19/2 cups of flour is the recipe, which is 9.5 cups of flour. He finishes the recipe with 17/2 cups left, which is 8.5 cups of flour.
Answer:

Step-by-step explanation:
Since Θ is in fourth quadrant then cosΘ > 0, as is secΘ
Given
sinΘ = -
, then
cosΘ = 
=
=
= 
Hence
secΘ =
= 
Using it's concept, it is found that there is a 0.2979 = 29.79% probability that they are in chorus, given that they do not play a sport.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 125 - 78 = 47 members of the band do not play a sport, of which 42 - 28 = 14 are in the chorus, hence the probability is given by:
p = 14/47 = 0.2979.
More can be learned about probabilities at brainly.com/question/14398287
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This statement is not true, you cannot add denominators if they are not the same
the correct answer is 8/15
brainliest answer please =)