What is the greatest common factor of the two expressions? 7a^2 8a^3b^2

Mathematics

1 answer:

Andreyy893 years ago

6 0

Answer:

a²

Step-by-step explanation:

(see attached for reference)

We can find GCF by expressing each expression into their prime factors

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:

7a² = 7 x <em>a x a</em>

8a³b² = 8 x <em>a x a</em> x a x b x b

Hence the greatest common factor is a x a = a²

You might be interested in

A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa

Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributied random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$