Answer:
Explanation:
It comes from pre-algebra
For all of the triangles you have to use Sin, Cosin, or Tangent. Sin= opposite/hypotenuse, Cosin=adjacent/hypotenuse, and Tangent= opposite/adjacent.
Question 2-
You have the hypotenuse and you are trying to find the adjacent. Cos(35)=x/51
Multiply the 51 over and now you have 51Cos(35)=x. x=41.77m
Question 3-
Tan(30)= x/24. 24Tan(30)=x. x= 13.856m
Question 4-
Sin(70)=x/18. 18Sin(70)=x. x=16.9 m
Question 5-
Cos(60)= x/30. 30Cos(60)=x. x=15m
Question 6-
Tan(55)=x/6. 6Tan(55)=x. x= 8.568m
The mode for this set of data is: 45.
<h3>What is mode?</h3>
Mode can be defined as the number that appear more than other numbers.
The given chart is:
Anxious behaviors per hour
Subject 1 60
Subject 2 45
Subject 3 20
Subject 4 70
Subject 5 45
Based on the above chart we can see 45 in subject 2 and 45 in subject 5 which in turn means that 45 appear more than others numbers as it appear twice.
Therefore The mode for this set of data is: 45.
Learn more about mode here:brainly.com/question/14532771
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The correct answer is C: the land has minimal capacity to feed the population
Answer: Risk free rate = 1.9%
Explanation:
The Capital Asset Pricing Model allows for the calculation of the required return using the market return, beta and risk free rate.
Required return = Risk free rate + Beta * ( Market return - Risk free rate)
First find the market rate. Stock Y is uniquely positioned to help with that:
12.4% = Risk free rate + 1.0 * (Market return - Risk free rate)
12.4% = rf + Market return - rf
Market return = 12.4%
Apply this to the formula using Stock Z:
8.2% = rf + 0.6 * (12.4% - rf)
8.2% = rf + 7.44% - 0.6rf
rf - 0.6rf = 8.2% - 7.44%
0.4rf = 0.76%
rf = 0.76% / 0.4
Risk free rate = 1.9%