Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
Answer: Option D
Step-by-step explanation:
Note that the projectile height as a function of time is given by the quadratic equation
To find the maximum height of the projectile we must find the maximum value of the quadratic function.
By definition the maximum value of a quadratic equation of the form
is located on the vertex of the parabola:
Where 
In this case the equation is:
Then
So:
Given:
difference in the mean weight gain is 0.60 grams
standard deviation of the difference in sample mean is 0.305
68% confidence interval for the population mean difference is a) 0.305
0.60 <u>+</u> 1 * 0.305
0.60 + 0.305 = 0.905
0.60 - 0.305 = 0.295
95% confidence interval for the population mean difference is c) 0.61
0.60 <u>+</u> 2 * 0.305
0.60 + 0.61 = 1.21
0.60 - 0.61 = -0.01
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Step-by-step explanation:eeeeeeeeeeeeeeeeeeeeeeeeee
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