The height of the tide over time is shown on the graph. Which of the following equations can be used to reasonably model the dat
a represented in the graph? Select two of the following that apply.
2 answers:
Answer:
Option 1.
Step-by-step explanation:
The height of the tide over the time is shown on the graph.
Its a periodic function (sine graph) plotted on a graph in which variables are
Amplitude a = (6-0)/2 = 3
Period = 15-3 = 12
Therefore b = 2π/period = 2π/12 = π/6
horizontal shift = 0
Vertical shift = 3
Since the function starts with negative sign that means its below the x-axis.
So as per standard formula of f(x) = asin(bx+c)+d
option which matches all these parameters is Option 1.
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The solution to the given system of linear equations is (3, -1)
<h3>Graph of Linear Equations</h3>From the question, we are to determine the graph of the system of linear equations
The given system of equations is
x - 2y = 5
3x + 15y = -6
The graph of the given system of equation is shown below
From the graph,
The point of intersection of the lines is at (3, -1)
Hence, the solution to the given system of linear equations is (3, -1)
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Answer:
A) Approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%
B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%
Step-by-step explanation:
We are given;
mean;μ = 247.9
standard deviation;σ = 64.7
A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3.
Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.
While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%
Thus, approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%
B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.
53.8 and 442.0 represents 3 standard deviations from the mean.
Let's confirm that.
Since mean;μ = 247.9
standard deviation;σ = 64.7 ;
μ = 247.9
σ = 64.7
μ + 3σ = 247.9 + 3(64.7) = 442
Also;
μ - 3σ = 247.9 - 3(64.7) = 53.8
Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;
(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%
It is given in the question that
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.
Total distance is 625 meters and total time taken is
Average speed is