Find the cosine 315º. Round your answers to the nearest hundredth if necessary. 0 0.71 1 –0.78
2 answers:
Answer:
Cos(315) = 0.711.
Step-by-step explanation:
Given : cosine 315º.
To find : Round your answers to the nearest hundredth.
Solution : We have given that cosine 315º.
Cos x = Sin (90- x).
Then
Cos ( 315) = Sin(90 -315)
Cos(315) = Sin (-225)
By the property Sin(-x) = -Sin(x)
Cos(315) = -Sin (225)
Cos (315) =
Cos(315) = 0.70711.
Therefore,Cos(315) = 0.711.
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The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
<u>The expected number of mortgages approved per week</u> :
- <em>Mean = (Σfx ÷ Σf)</em>
Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
<u>The standard deviation</u> :
- <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>
- <em>Standard deviation = √Variance</em>
Variance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
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