Answer:
<h3>
<em><u>I</u></em><em><u> </u></em><em><u>think</u></em><em><u> </u></em><em><u>option</u></em><em><u> </u></em><em><u>C</u></em><em><u>.</u></em></h3>
<em><u>(</u></em><em><u>x-6</u></em><em><u>)</u></em><em><u> </u></em><em><u>(</u></em><em><u>x-8</u></em><em><u>)</u></em><em><u>.</u></em>
Answer:
B
Step-by-step explanation:
3 out of 10 is smaller than 3 out of 5
X = Can/Bottle height, y = Shadow length
x = 13 cm, y = 7.5 cm
x = 2.5 cm, y = 14.2 cm
I'm assuming your question is asking for an equation to model this. Since there are only two data points the only equation that can be made is linear
y = mx + c
m = (y2 - y1)/(x2 - x1) <- Let 14.2 be y2, and 2.5 be x2 (it is important)
m = (14.2 - 7.5)/(2.5 - 13)
m = 6.7/-10.5
m = -0.638
y = -0.638x + c
To find c we can sub any one of the two coordinates, i'm choosing (2.5,14.2)
14.2 = -0.638(2.5) + c
14.2 = -1.595 + c
14.2 + 1.595 = c
15.795 = c
So the final equation is y = -0.638x + 15.795
a. The standard error is equal to the standard deviation divided by the square root of the sample size:
SE = (23 ppm)/√18 ≈ 5.42 ppm
b. The t statistic is given by the difference between the true and sample means, divided by the standard error:
t = (192 ppm - 180 ppm)/SE ≈ 2.21
c. The p-value is approximately 0.0204.
d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.
e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.
Answer:
Option C
Step-by-step explanation:
The given function is:
.
.
.
The average rate of change of this function on the interval t=3 to t=5 is given by:


Since the average rate of change is negative on the interval 3-5 seconds, it means the ball is moving downwards at an average rate of 48 feet per second.
The correct choice is C.