Patty because she has the lowest time out of them all. From least to greatest Patty would be the least with her time being shorter than the rest
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
The correct answer would be 72.7%
Answer:
Step-by-step explanation:
Downtown Store North Mall Store
Sample size n 25 20
Sample mean $9 $8
Sample standard deviation s $2 $1
Standard error of difference of means =
Standard error of difference of means =
Standard error of difference of means =
Degree of freedom =
Degree of freedom =
Degree of freedom =36
So, z value at 95% confidence interval and 36 degree of freedom = 2.0280
Confidence interval =
Confidence interval =
Confidence interval =
Hence Option A is true
Confidence interval is
Answer:
4/5
Step-by-step explanation: