-26 is not an inequality. It's just a number. Maybe there was
another part of it that you forgot to copy.
Answer:
y=1/2x+1
Step-by-step explanation:
one dot on the 1 on the y axis
then more one unit up and two units to the left
and then from the first point (0,1) go one unit down
and two to the right. then make the line with the three points
Using a simple guess and check method, i started with the lowest common multiple of 3, and 27 (the total growth) and used 3. if you plug i the numbers, we will say a is the dwarf lemon tree, b is the semi-dwarf lemon tree, and c is the full lemon tree, you know 3times2 equals 6. if you triple 6 you get 18. so if A grew 3 inches , B had to have grown 6 inches, and C had to have grown 18 inches. add them all and you get 27. so the dwarf lemon tree grew 3 inches, semi dwarf grew 6 inches, the full size grew 18 inches.
Answer:
The actual SAT-M score marking the 98th percentile is 735.
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 507, \sigma = 111](https://tex.z-dn.net/?f=%5Cmu%20%3D%20507%2C%20%5Csigma%20%3D%20111)
Find the actual SAT-M score marking the 98th percentile
This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.054 = \frac{X - 507}{111}](https://tex.z-dn.net/?f=2.054%20%3D%20%5Cfrac%7BX%20-%20507%7D%7B111%7D)
![X - 507 = 2.054*111](https://tex.z-dn.net/?f=X%20-%20507%20%3D%202.054%2A111)
![X = 735](https://tex.z-dn.net/?f=X%20%3D%20735)
When you divide 36.89/8.6, you get should $4.29 for 1 gallon of gas.