The best estimate is 478,000,000 x 2,500,000
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
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<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
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<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
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Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
Answer:
you need to upload a pic
Step-by-step explanation:
.
Answer: p value is 0.1685.
Step-by-step explanation:
Since we have given that
The survey is conducted on a random sample of 240 pet owners.
Out of them, number of owners spoke to their pet on telephone = 79
n = 240
x = 79
Our hypothesis would be
Formula for test statistic would be
p value = 0.1685
Hence, p value is 0.1685.
