M(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))
1 answer:
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Answer:
B. 60.26°
Step-by-step explanation:
Given:
Consider the diagram representing the above scenario.
The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.
Height of the house (AC) = 21 ft
Distance between the house and son (BC) = 12 ft
Let the angle of depression for the dad be 'x'.
From the figure, it is clear that,
Angle of depression of the dad will be same as angle of elevation of Artie.
For triangle ABC,
Therefore, the angle of depression from the top of the house to the spot where Artie is standing is 60.26°.
Therefore, the correct option is option (B).
Answer:
602.50 hours
Step-by-step explanation:
Given that a manufacturing plant uses light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours,
It was decided to replace the bulbs so that no more than 2% of the bulbs to burn out between replacement periods
i.e. we have to construct 98% confidence interval right tailed to get this.
Z value is 2.05 for this (Upper tailed 0.98 probability)
Hence margin of error
The upper bound for this would be
So to keep below 2% the bulbs to burn out it should be replaced before 602.50 hours.