Answer:
x=3 15/16 hours together
Step-by-step explanation:
the painter paints 1/7 of the house in 1 hour
the assistant paints 1/9 of the house in 1 hour
x=# of hours it takes them together to paint the house
(1/7)x+(1/9)x=1 (job finished)
multiply both sides by the LCM which is 63
63(1/7)x+63(1/9)x=63(1)
9x+7x=63
16x=63
x=63/16
x=3 15/16 hours together
Do you go to cmms because i had the same question also sorry but i dont have an answer
Answer: y > 4.5 or y < -4.5
You use the rule
if |y| > k, then y > k or y < -k
where k is some positive number. In this case, k = 4.5
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
Answer:
According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.
Step-by-step explanation:
To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.
- The box geometric figure with the vertical line contained within represents the average of the numbers presented.
* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.
Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).
The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.
*I hope this helps.