Answer:
O <u>4th option</u> : <u>(-4, -2)</u>
Step-by-step explanation:
⇒ 9x - 9y = -18
⇒ -<u>6x + 9y = 6</u>
- 9(-4) - 9y = -18
- -36 - 9y = -18
- -9y = 18
- y = -2
⇒ (x , y)
⇒ <u>(-4, -2)</u>
Answer:
99.7%
Step-by-step explanation:
Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.
The empirical rule states that for a normal distribution:
- 68% falls within one standard deviation (μ ± σ)
- 95% falls within two standard deviation (μ ± 2σ)
- 99.7% falls within three standard deviation (μ ± 3σ)
one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms
two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms
three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms
Answer:
A) 8
Step-by-step explanation:
Add angles AOB and BOC to get angle AOC.
Since we know the value of AOC is 124 and AOB+BOC=AO
Then (8x+25)+(6x-13)=124.
Combine like terms to get 14x+12= 124.
Solve for x by subtracting 12 from 124, then divide the answer by 14.
Answer:
about 1.43 hours.
Step-by-step explanation:
You can use your original equation to find how many minutes it takes to fill up the 309 gallon hot tub.
3.59x=309
x= how many minutes it takes to fill up a certain gallon.
Divide both sides by 3.59 to isolate x and you get x=86.0724234.
That is how many minutes it takes.
The question asks for how many hours, so that divide 86.0724234 by 60 since there are 60 minutes in an hour, and you get 1.43454039 or 1.43 hours.
There is also another way which is called dimensional analysis, but I don't know if you guys learned that yet.
Hope my answer helps!
900 ÷ 72 = 12.5 minutes
Thus the correct answer is option A .
