Answer:
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
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Step-by-step explanation:
Answer:
m = 4
Step-by-step explanation:
-16 = -6m + 2m
Add -6m and 2m.
-16 = -4m
Divide both sides by -4.
4 = m, or m = 4.
Proof:
-16 = -6m + 2m
Substitute variable.
-16 = -6(4) + 2(4)
Multiply -6 and 4.
-16 = -24 + 2(4)
Multiply 2 and 4.
-16 = -24 + 8
Add -24 and 8.
-16 = -16.
14-8=6 or 14-6=8 are related subtraction facts
6.35 is 2 standard deviations below the mean of 7.13, so the empirical rule tells you 2.5% are in the lower tail of the distribution.
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The empirical rule says 95% are within 2 standard deviations of the mean, so 5% are outside that range. Those 5% are evenly split between the upper and lower tails of the distribution, so 5%/2 = 2.5% are in the lower tail, below -2 standard deviations.
The value 6.35 is 0.78 = 2×0.39 less than the mean of 7.13.
Are there any answer choices? If not, when i worked it out i got ≈22.8