Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
2 1/4
Step-by-step explanation:
Answer:
Hello,
answer B
2
Step-by-step explanation:
![\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7Bx%7D%20-%5Cdfrac%7Bx%7D%7Bx%2B5%7D%20%3D%5Cdfrac%7B10%7D%7Bx%5E2%2B5x%7D%20%5C%5C%5C%5Cwe%5C%20suppose%5C%20x%5Cneq%200%5C%20and%5C%20x%5Cneq%20-5%5C%5C%5C%5C%5Ctext%7BReducing%20to%20the%20same%20denominator%7D%5C%5C%5Cdfrac%7B2%28x%2B5%29-x%5E2%7D%7Bx%28x%2B5%29%7D%20%3D%5Cdfrac%7B10%7D%7Bx%5E2%2B5x%7D%20%5C%5C%5C%5CSimplify%5C%20by%5C%20x%5E2%2B5x%5C%5C%5C%5C2x%2B10-x%5E2%3D10%5C%5C%5C%5C-x%5E2%2B2x%3D0%5C%5C%5C%5C-x%28x-2%29%3D0%5C%5C%5C%5Croots%5C%20are%5C%202%20%5C%20and%5C%200%5C%20%28to%5C%20be%5C%20excluded%29%5C%5C%5C%5CRoot%3D2%5C%5C)
Answer:
1
Step-by-step explanation:
Divide 53 by 4
You get 13.25 which means each kid will receive 13 balloons.
Now take .25 and multiply by 4. You get 1! There will be one balloon left over.
Yes asa because the other angle in the middle is vertical