The san francisco bay tides vary between 1 foot and 7 feet. the tide is at its lowest point when time (t) is 0 and completes a full cycle in 8 hours. what is the amplitude, period, and midline of a function that would model this periodic phenomenon?
a. amplitude = 6 feet; period = 8 hours; midline: y = 4
b. amplitude = 6 feet; period = 4 hours; midline: y = 3
c. amplitude = 3 feet; period = 8 hours; midline: y = 4
d. amplitude = 3 feet; period = 4 hours; midline: y = 3

C. Amplitude = 3 feet; period = 8 hours; midline: y = 4

Step-by-step explanation:

The midline is halfway between the lowest point and the highest point.

y = (1 + 7) / 2

y = 4

The period is the time it takes for a full cycle.  So the period is 8 hours.

The amplitude is the distance from the midline to the lowest or highest point.

a = 4 − 1 = 3, or a = 7 − 4 = 3

It's also half the distance between the lowest and highest points.

a = (7 − 1) / 2

a = 3

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A Gallup Poll Asked A Random Sample Of 1000 Adults Nationwide The Following Question "Are You In Favor Of The Death Penalty For A Person Convicted Of Murder?" 71% Of The People In The Sample Answered 'Yes' A 99% Confidence Interval

The answer is

At 99% confidence interval, and 71 % of 1000 or 710 success count

The critical z =+/-2.575829

Interval {Min = 0.6730389

Max = 0.7469611}

or Interval {Min = 67.304 %

Max = 74.696 %}

Step-by-step explanation:

Here we utilise the normal distribution to calculate the confidence interval for the data founded on the sample size n and the number of positive pole

= p + z×(p(1-p)/n)

For 99 % z = + or - 2.576

Which give

0.71+ or - 2.576×((0.71×0.29)/1000)^0.5=

0.71+ or -3.69×10^(-2)

Min = 0.67303

Max = 0.74696

Min = 67.304 %

Max = 74.696 %

Which gives expected range in the real population that the statistical result will be found