How would i calculate 1.9 minus 11/12?

1 answer:

8 0

Step 1) turn 1.9 into an improper fraction.

= 19/10

step 2) find a least common denominator between 10 and 12.

= 60
(10x6 and 12x5)

step 3) convert the fractions so they have the same denominator.

= 19x6 is 114.
10x6= 60.
= 11x5 is 55.
12x5 is 60.
now you have your new fractions.

step 4) subtract.

= 114/60 - 55/60 is 59/60.

step 5) simplify.

the answer is either 0.9833... (3 repeating) or just 59/60 (you can't simplify the fraction any further).

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Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro

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Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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:

$\mu = 96, \sigma = 15.7$