Question
What is the value of x in the equation -2/3x + 9 =4/3x - 3?
Answer:
x = 6
Step-by-step explanation:
-2/3x + 9 =4/3x - 3
-2/3x = 4/3x - 3 - 9
-2/3x - 4/3x = -12
-6/3x = -12
-2x = -12
x = 12 : 2
x = 6
This is simple!
To begin with, arrange all the numbers in order.
#1
5, 5, 20, 20, 25, 30, 35Mean: add all the numbers together and divide it by how many numbers are there
5+5+20+20+25+30+35=140
there are 7 numbers
Mean:
= 20
Median: The middle number, if the set of numbers have an odd number, then the one in between is the median, if there it is an even number, then the mean of the two in-between numbers is the median.
Median: 20
Mode: The most repeated numbers
Mode: 5 and 20
Range: Highest number - lowest number
Range: 35 - 5
30#2
Order: 44, 48, 48, 49, 59, 61, 63, 68Mean: 440 (sum of all numbers)
there are 8 numbers in total

=
55
Median: there are 8 numbers so, the mean of the in-between numbers will be the median
49+59=108
2 numbers

=
54
Mode: 48
Range = 68 - 44 = 24
Answer:
A score of 150.25 is necessary to reach the 75th percentile.
Step-by-step explanation:
Problems of normal distributions can be 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.
A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.
This means that 
What score is necessary to reach the 75th percentile?
This is X when Z has a pvalue of 0.75, so X when Z = 0.675.




A score of 150.25 is necessary to reach the 75th percentile.
Answer:
5/2=2.5, while 1/3= aprox 0.333, therefore 5/2 is not equal to 1/3.
Step-by-step explanation:
Here is the long division table for 5/2
2. 5 0 0
2 5. 0 0 0
− 4
1 0
− 1 0
0 0
− 0
0 0
− 0
0
Here is the long division table 1/3 ( to three decimal places)
0. 3 3 3
3 1. 0 0 0
− 0
1 0
− 9
1 0
− 9
1 0
− 9
1
An easier way to do 5/2 is to think of 50/2, which is 25, and then add a decimal point, making it 2.5.
An easier way to do 1/3 is to think of it as one third (of one), or 0.333 repeating.