Answer:
, 
Step-by-step explanation:
Replace X with Y
solve for Y; X = Y^2 + 5
subtract 5 from both sides
X - 5 = Y^2
take the square root
Y = plus or minus sqrt(X-5)
sqrt(X-5); -sqrt(X-5)
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:
100 bags
Step-by-step explanation:
S.E = σ/ √n
0.1 = 1 / √n
Square both sides
0.1² = 1² / n
0.01 = 1 / n
0.01n = 1
n = 1 / 0.01
n = 100
Answer:
0.143
Step-by-step explanation:
You need to convert 1/7 to have a denominator of either 100 or 10. We can do 100.
1/7 = ?/100
then you need to divide 100/7 to find the scale factor which in this case is 14.286
then you can insert it into the equation
1/7 = 1 * 14.286/100
you end up with
14.286/100
then you can dived the two
0.14286 is what you end up with
but since it says rounded to the 3rd decimal place you go to the 3rd which is 2.
To round it you look at the 4th number which is 8.
<em>5 and above give it a shove up</em>
So now its 0.143
Hope this helped :)