The graph is shown in the attached image.
Answer: y = 2x + 5
Step-by-step explanation:
<u></u><u>The correct answer is 47.5%, or 0.475.</u>
Explanation:
The empirical rule states that in any normal distribution:
68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.
The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:
(700-500)/100=200/100=2.
We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:
95/2 = 47.5%, or 0.475.
Answer:
Step-by-step explanation:
a hemisphere is half a sphere.
And if the formula for the volume of a sphere is:
we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.
Since the radius is:
substituting this into the formula for volume:
this is the volume of the total sphere, thus the volume of a hemisphere is:
rounding to the nearest tenth:
