Answer:
Lower limit: 113.28
Upper limit: 126.72
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when 
Upper limit
X when Z has a pvalue of 0.80. So X when 
Answer:
50/7.
Simplified to 7.14.
Step-by-step explanation:
Combine like terms, 5x and 9x.
5x+9x=14x
14x = 100
14x / 14 = 100 / 14
x = 50/7 or 7.14
Hope this helps!
Answer:
Y=5
You must first divide b (-10) by two and square it to know what you need to make a perfect square (25). You must then add or subtract the amount to make C (-13) into that number (add 38). Don't forget to do it on the other side too! (3 becomes 41) You then factor the left side. ((Y-5)^2=41) The result is your answer. (Y=5)
Answer:
Step-by-step explanation:
The equation of a line:
We have
substitute:
The formula of a distance between a point and a line:
General form of a line:
Point:
Distance:
Convert the equation:
|<em>subtract 
from both sides</em>
|<em>multiply both sides by 3</em>
Coordinates of the point:
substitute:
|<em>multiply both sides by 
</em>
|<em>divide both sides by 3</em>
Finally:
Step-by-step explanation:
To transform a function vertically, add 3 to the constant.
So the function is
Graph the function in desmos to show the translation vertically if you want proof
