If y varies directly as x and inversely as z and y = 4 when x = 2 and z = 7, find y when x =
1 answer:
Answer:
y = 28
Step-by-step explanation:
Given that y varies directly as x and inversely as z then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 4 when x = 2 and z = 7, then
4 = ( multiply both sides by 7 )
28 = 2k ( divide both sides by 2 )
14 = k
y = ← equation of variation
When x = 6 and z = 3 , then
y = = 14 × 2 = 28
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Answer:
So the value of the test statistic is -0.85.
Step-by-step explanation:
We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.
We get that:
We calculate the standar deviation:
We calculate the value of the test statistic:
So the value of the test statistic is -0.85.