What is the quotient?

Mathematics

1 answer:

Ierofanga [76]2 years ago

6 0

Answer:

3/2

Step-by-step explanation:

For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.

Thus, we multiply the first expression with the second expression's reciprocal as shown below.

$\frac{2m + 4}{8} \div \frac{m + 2}{6}$

$\frac{2(m + 2)}{8} \times \frac{6}{m + 2}$

We can cancel common factors and simplify the product. Hence, we have

$\frac{2(6)}{8}$

$\frac{3}{2}$

Therefore, the quotient of the expressions is equal to 3/2.

You might be interested in

Convert 15 kilograms to pounds.

seraphim [82]

Your answer would be 33 lb. hope that helped

8 0

3 years ago

48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a

son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

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:

$\mu = 125, \sigma = 24$