Find the sum of the polynomials below.
2 answers:
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Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
Answer:
,
,
.
Step-by-step explanation:
Given fractions ,
,
.
We need to list them from least to greatest.
In order to arrange them from least to greatest, we need to find the least common denominator of ,
,
.
We have 3, 6 and 5 in denominators.
Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.
Let us covert each denominator as 30.
Multiplying first fraction by 10 in top and bottom, we get
Multiplying first fraction by 5 in top and bottom, we get
Multiplying first fraction by 6 in top and bottom, we get
Now, we can check
is the smallest,
is greater and
is the greatest.
Therefore, we can arrange fractions
Writing original fractions in place of equivalent fractions, we can write
,
and
.
Therefore, the order the amounts of paint from least to greatest is:
,
,
.