Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
The probability degree is 0 as I wouldn't be born if my mother passed away long before she conceived
The second one or the third one hope that help a little bit
Answer:
Strong positive correlation
Step-by-step explanation:
The given scatterplot, where the data points are sloping upward:
The stronger the association of the two variables, the closer the Pearson correlation coefficient, <em>r</em>, will be to either +1 or -1 depending on whether the relationship is <em>positive</em> or <em>negative</em>, respectively.
If the value of the correlation coefficient is 0 < <em>r</em> < 1 then there is a positive linear trend and the data points are scattered around the line of best fit; the smaller the absolute value of <em>r, </em>the less well the data can be visualized by a single linear relationship. The closer the value of r to 0 the greater the variation around the line of best fit.
In the attached screenshot, where I've drawn a line across the graph: it shows that the data points are clustered around the line. It is easier to estimate that the value of <em>r </em>is closer to 1, which implies a strong positive relationship between two variables. My estimate is that <em>r</em> = 0.8.
Therefore, the correct answer is Strong Positive association.
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Answer: 54
Step-by-step explanation: If the ball bounces 3 times at first that would be 9 x 3 which equals 27. But if you bounce it 6 times, that would be 9 x 6 which equals 54. :)