Identify the domain of the function.<br> (-4,4)<br> [-4,4)<br> (-4,4)<br> (-4, 4)

What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

jenyasd209 [6]

Answer:

The volume of a rectangular prism is $28\frac{7}{8}\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

$V=BHL$

Convert the given dimensions to an improper fractions

$B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm$

$H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm$

$L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm$

substitute in the formula

$V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}$

Convert to mixed number

$\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}$

7 0

3 years ago

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

Triss [41]

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use 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:

$\mu = 25, \sigma = 4$