Answer:
3 =n
Step-by-step explanation:
-3 +3(n+8)= 2(1 + 6n) - 8
Distribute
-3 +3n +24 = 2 +12n -8
Combine like terms
21+3n = 12n -6
Subtract 3n from each side
21+3n-3n = 12n-3n -6
21 = 9n -6
Add 6 to each side
21+6 = 9n-6+6
27 = 9n
Divide each side by 9
27/9 = 9n/9
27/9 =n
Divide the top and bottom by 3
3 =n
Answer:
I believe this that it would be 1/3 chances you grab a yellow or a orange
Answer:
Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation
where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus
We find that C=2
The equation is now
Now we use the point x=1, y=1
We find that
Thus, the equation is
Rearranging
The required equation is
We can easily verify the last two points are also obtained by using the equation
Adding (or subtracting) a constant to every data value adds (or subtracts) the same constant to measures of position such as center,percentiles, max or min.
Its shape and spread such as range, IQR, standard deviation remain unchanged.
When we multiply (or divide) all the data values by any constant, all measures of position (such as the mean, median, and percentiles) and measures of spread (such as the range, the IQR, and the standard deviation) are multiplied (or divided) by that same constant.
Part A:
The lowest score is a measure of location, so both addition and multiplying the lowest score of test B by 40 and adding 50 to the result will affect the lowest score of test A.
Thus, the lowest score of test A is given by 40(21) + 50 = 890
Therefore, the lowest score of test A is 890.
Part B:
The mean score is a measure of location, so both
addition and multiplying the mean score of test B by 40 and adding 50
to the result will affect the lowest score of test A.
Thus, the mean score of test A is given by 40(29) + 50 = 1,210
Therefore, the mean score of test A is 890.
Part C:
The standard deviation is a measure of spread, so multiplying the standard deviation of test B by 40 will affect the standard deviation but adding 50
to the result will not affect the standard deviation of test A.
Thus, the standard deviation of test A is given by 40(2) = 80
Therefore, the standard deviation of test A is 80.
Part D
The Q3 score is a measure of location, so both
addition and multiplying the Q3 score of test B by 40 and adding 50
to the result will affect the Q3 score of test A.
Thus, the Q3 score of test A is given by 40(28) + 50 = 1,170
Therefore, the Q3 score of test a is 1,170.
Part E:
The median score is a measure of location, so both
addition and multiplying the median score of test B by 40 and adding 50
to the result will affect the median score of test A.
Thus, the median score of test A is given by 40(26) + 50 = 1,090
Therefore, the median score of test A is 1,090.
Part F:
The IQR is a measure of spread, so multiplying the IQR of test B by 40 will affect the IQR but adding 50
to the result will not affect the IQR of test A.
Thus, the IQR of test A is given by 40(6) = 240
Therefore, the IQR of test A is 240.
