A right rectangular prism has a length of 6 cm,a width of 8,ad a height of 4cm.

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

24 cm

Step-by-step explanation:

If the dimensions are reduced by half than the length is 3cm, the width is 4cm, and the height is 2cm. To find the volume of a prism you use the formula V=l×w×h, in this case it would be V=3×4×2. So the volume of the reduced prism equals 24cm.

You might be interested in

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago

How many 1/4 are there in 3/8

BigorU [14]

Answer:

5/8

Step-by-step explanation:

Explanation:

First you need to put the same base for both numbers, finding the minimum common multiple of 4 and 8, that's 8.

Turning 1/4 in a number with 8 as base: first, divide 8 : 4 = 2. Then multiply 1/4 x2 and it will be 2/8.

Then you're able to calculate it: keep the base and add the tops

2/8 + 3/8 = 5/8