The constructed interval for the rating of the ice cream mango and cotton candy is; C: (-1.4, 2.6).
<h3>What is the t-interval?</h3>
When the sample size is small and the population standard deviation is unknown, then we will have to say that is when the t-interval is very useful.
Now, the z-interval for calculating confidence intervals becomes less reliable when the sample size is less than 30 i.e very small.
Now, since Mango the greater sample mean rating, and since each person rated the flavor on a numerical scale from 1 to 5, then we can say that the correct option is C; (-1.4, 2.6).
Read more about t-interval at; brainly.com/question/9898168
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I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet
For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.
For b), we find the vertex of y = -1/16x^2 + 4x + 3
y = -1/16x^2 + 4x + 3
y = -1/16(x^2 - 64x) + 3
y = -1/16(x^2 - 64x + 1024 - 1024) + 3
y = -1/16((x-32)^2 - 1024) + 3
y = -1/16(x-32)^2 + 64 + 3
y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.
For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
x = [ -b ± √b^2 - 4ac ] / (2a)<span>
x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
x = -0.741, 64.741
Only the positive solution, so 64.741 feet </span>
Also like McCandless, Ruess was undeterred by physical discomfort; at times he seemed to welcome it
I hope this helps!