Answer:
The answer is 1 13/27.
Step-by-step explanation:
First, convert any mixed numbers to fractions --
the initial equations then reads as 5/3 x 8/9.
Then, applying the fractions formula for multiplication --
5 x 8 / 3 x 9
40/27
Simplifying the above --
1 13/27
Answer:
t = 19.7
Step-by-step explanation:
24.8 = t + 5.1
-5.1 -5.1
----------------------
19.7 = t
The <em><u>correct answer</u></em> is:
We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.
Explanation:
The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.
The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.
2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.
3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find:
This is the same thing as:
So, substitute h(x) into g(x):
Distribute the negative:
And we're done!
So:
