The Tampa Times polled 1,457 adults in the city to determine whether they put on their shirt before they put on their pants. Of
1 answer:
Answer:
The mean is 0.32 and the standard deviation is 0.0122.
Step-by-step explanation:
Given that the Tampa Times polled 1,457 adults in the city to determine whether they put on their shirt before they put on their pants.
Of the respondents, 48% said they put their shirt on first.
32% of all adults actually put their shirt on first
i.e. sample proportion is 48% while population proportion is 32%
Hence sampling distribution follows a distribution with mean = population proportion p
Hence here mean = 0.32
Std deviation of sampling distribution =
Hence option 3) The mean is 0.32 and the standard deviation is 0.0122.
is right
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Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.