Please help asap 15 pts
1 answer:
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Answer:
In this context 38% represents that if the mean speed of ball is 250 ft/sec, then there is 34% chance of obtaining a similar or more extreme value related to test statistics.
Step-by-step explanation:
We are given that the initial velocity of the ball may not exceed 250 feet per second when measured by an apparatus approved by the association.
Based on the mean speed in the sample, the association comes up with a P-value of 0.38.
Let = <u><em>mean speed of the ball</em></u>
So, Null Hypothesis, :
= 250 ft/sec
Alternate Hypothesis, :
> 250 ft/sec
Now, the P-value given to us is 0.38.
P-value basically tells us the exact percentage where our test statistics lie. Also, it is the probability of obtaining the value that is more extreme, given that null hypothesis is true,
So, in this context 38% represents that if the mean speed of ball is 250 ft/sec, then there is 34% chance of obtaining a similar or more extreme value related to test statistics.
Answer:
(x – 1)² + (y +2)² = 5
Step-by-step explanation:
recall that the general form of the equation for the circle is as follows:
(x – h)² + (y – k)² = r²
where, (h,k) are the coordinates for the center of the circle and r is the radius of the circle.
We are given that the center of the circle is at (1,-2). Comparing this with the description of h & k above, we can immediately conclude that h = 1 and k = -2.
Hence the only thing we are missing now is radius r.
It is given that the circle passes through the origin, hence if we draw a line between the origin (0,0) and the center (1,-2), this distance is the radius.
to find the distance between 2 points, we use the attached formula
Distance = radius, r = √ [ (1-0)² + (-2-0)²]
r = √ [ (1² + (-2)²]
r = √ [1 + 4] = √ 5
hence we can assemble the equation
(x – 1)² + (y – (-2))² = (√5)²
(x – 1)² + (y +2)² = 5
