Someone please help !!
1 answer:
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Answer:
It is true, because the cosine function has a period of 2π
Step-by-step explanation:
Since, the period of the cos function is 360° ( or 2π radians ), it holds the property of:
Taking as
,
is equal to
The equation is true!
<u>Note:</u> The cos function is even function
Hence, the equation is true, because the cosine function has a period of 2π, NOT because the cosine function is ODD, which it is not!!
Answer:
The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes
Step-by-step explanation:
The average time it takes to manufacture a pair of shoes = 21 minutes;
The standard deviation = 3 minutes
To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;
Standard score, given as follows;
Where;
x = The raw score = 27 minutes
μ = The average score = 21 minutes
σ = The standard deviation = 3 minutes
From which we have;
Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275
Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.