Answer:
where denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles, denote corresponding radii and
denote the corresponding central angles.
So,
and
This implies and
As each circle has an arc where the measures of the corresponding central angles are the same,
As radius of one circle is twice the radius of the other circle,
Answer:
2x-3
Step-by-step explanation:
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
Okay. So 3/5 in decimal form is 0.6. 7/10 in decimal form is 0.7. When you put them in order from least to greatest, the order would be 0.15, 3/5, 7/10, 0.85. Converting fractions to decimals and looking at the different places and what not could help make solving questions like these much easier.
In any trapezoid, the area is given by
where B and b are the two bases, and h is the height. You're given all these elements already, so you only need to plug the values in: