Answer:
Step-by-step explanation:
In this case we will use the formula V= length × width × height
so, V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the full capacity of the rectangular prism
then get the volume of the cube so, we will use the formula V= side times side times side
so, V= 1/4 times 1/4 times 1/4
V= 1/8 times 1/4
V= 1/32 cubic is the volume of the cube
then we will divide the full capacity of the rectangular prism to the volume of the cube
so, 2 13/16 divided by 1/32
so, 2 13/16 times 32/1
so, 45/16 times 32/1
=1,440/16
=90 small cubes can be packed in a rectangular prism in Part A
so, in Part B
V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the volume of the rectangular prism
Answer:
14b-12b²
Step-by-step explanation:
Answer:
-5.1, -5, -4.5, -4.45,-4 2/5
1. You divide by 100 to find the decimal version of any percentage, and do the opposite for vise versa
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.