Answer:
458
Step-by-step explanation:
Margin of error = critical value × standard error
At 99% confidence, the critical value is z = 2.576.
The standard error is σ/√n = 5.4/√n.
Given the desired margin of error is 0.65:
0.65 = 2.576 × 5.4/√n
n = 458
Step-by-step explanation:
<h3>a. </h3>




<h2>______________</h2>
<h3>B. </h3>




<h2>______________</h2>
<h3>C. </h3>




<h2>______________</h2>
<h3>D. </h3>



<h2>______________</h2>
<h3>E. </h3>




Answer:
49.87% of the population has a heart rate between 68 and 77.
Step-by-step explanation:
We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.
Let X = <u><em>the data for the resting heart of adults</em></u>
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 68 beats per minute
= standard deviation = 3 beats per minute
Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)
P(68 < X < 77) = P(X < 77) - P(X
68)
P(X < 77) = P(
<
) = P(Z < 3) = 0.9987
P(X
68) = P(
) = P(Z
0) = 0.50
The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.
Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%
Answer:
1st and last one
Step-by-step explanation:
the first and the last one are the only ones that represent a function because for each value of x there is only one corresponding value of y.
Answer: U and V are complimentary angles.
Step-by-step explanation: K