19 4/12 + 17 2/11 - 16 6/9 =

Mathematics

1 answer:

SOVA2 [1]3 years ago

6 0

Answer:

19 28/33

Step-by-step explanation:

lets work out the whole number parts first:

= 19 + 17 - 16 = 20.

4/12 + 2/11 - 6/9

= 1/3 + 2/11 - 6/9

Find the LCM of the denominators:

3 = 3

11 = 11

9 = 3*3

- so the LCM is 3*3*11 = 99.

So we have:

33/99 + 18/99 - 66/99

= 51/99 - 66/99

= -15/99

= -5/33

So the answer is 20 - 5/33

= 19 28/33

You just had to subtract 5/33 from 20.

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According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a

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Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

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 problem, we have that:

$\mu = 7.5, \sigma = 1.1$