1. rational 2. irrational 3. irrational 4. rational
4k-36 = 9k-44
add 36 to both sides:
4k =9k-8
subtract 9k from each side
-5k=-8
k = -8 / -5 = 8/5
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:

Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So




The limit that 97.5% of the data points will be above is $912.
In order a0->a5: 1/3, 1, 3, 9, 27, 81
All you're doing is plugging the x-value in. So for a2, x=1, so y=3¹ which means y=3.
Answer:

Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of
would be 2, and in the case of
the value would be 2. This would result in the equation:
. Then simply combine like terms to get your final answer.