Simplify by combining like terms: 3 1/9p + 5 - 1/3p

Mathematics

2 answers:

diamong [38]3 years ago

8 0

Answer:

$7\frac{2}{3}$

Step-by-step explanation:

$3\frac{1}{9}p+5-\frac{1}{3}p$

Put it into a different form to make it easier.

$3\frac{1}{9}p-\frac{1}{3}p+5$

Add the fractions. We need to figure out the LCM to figure out the common denominator. The LCM is 9 in this case.

$3\frac{1}{9}-\frac{3}{9} +5$

I like to convert into imroper fractions. This is optional though.

$\frac{28}{9} -\frac{3}{9} +5$

$\frac{24}{9} +5$

$\frac{8}{3}+5$

Get a common denominator. The LCM is 3.

$\frac{8}{3}+\frac{15}{3}$

$\frac{23}{3}$

Make this fraction into a mixed number.

$7\frac{2}{3}$

I hope this helps!

Airida [17]3 years ago

6 0

Answer:

5(5p+9)

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Step-by-step explanation:

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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dangina [55]

Answer:

A.0.4477

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:

$\mu = 16.3, \sigma = 4.2$