Answer:
2.4 hours
Step-by-step explanation:
Let total work = X
Rate of work done = X ÷ time
Rate of A = X/4
Rate of B = X/6
If they work together, rate is the sum of their individual rates, i.e.
X/4 + X/6
= (3X + 2X)/12 (taking LCM)
=5X/12
Rate = X/time
5X/12 = X/time
time = X÷(5X/12)
time = X × 12/(5X)
time = 2.4 hours
Shortcut:
Product of individual times/sum of individual times
= (4×6)/(4+6)
=24/10
=2.4 hours
Answer:
<h2>(g ∘ h)(x) = x² - 6x + 9</h2>
Step-by-step explanation:
g(x) = x²
h(x) = x - 3
To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)
That's
(g ∘ h)(x) = ( x - 3)²
= x² - 3x - 3x + 9
We have the final answer as
<h3>(g ∘ h)(x) = x² - 6x + 9</h3>
Hope this helps you
Answer:
<h3>
The option B) is correct.</h3><h3>
That is the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible is correct answer</h3>
Step-by-step explanation:
Given that " The least-squares regression line "
The least-squares regression line is <u>the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.</u>
Therefore option B) is correct