Answer:Final answer: (45,30)
Step-by-step explanation:
Answer: Jenny was faster by 116.17
Step-by-step explanation: Jenny: 809.03 meters a minute
Johnny: 692.86 meters a minute
Answer:
10 units
Step-by-step explanation:

Using the distance formula above,
distance between the 2 points
![= \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%5B0%20-%20%28%20-%20%208%29%5D%5E%7B2%7D%20%2B%20%287%20-%201%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%280%20%2B%208%29%5E%7B2%7D%20%2B%206%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B8%7D%5E%7B2%7D%20%20%2B%2036%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B64%20%2B%2036%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B100%7D%20%20%5C%5C%20%20%3D%2010%20%5C%3A%20units)
The height of the deck if it is parallelogram H ≈ 6.13
Answer:
The 95% confidence interval would be given by (96.98;100.82)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=0.62 represent the sample standard deviation
n=103 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
Since the Confidence is 0.95 or 95%, the significance is
and
, and the critical value for this case would be
And replacing we got:
The 95% confidence interval would be given by (96.98;100.82)