Answer:
Answer: x=2 is the true solution. Step-by-step explanation: We have been given the expression: 2\ln 4x=2\ln 8. Using: n\ln m=\ln m^n. Our given expression becomes: \ln{4x}^2=\ln{8^2}. Cancel ln ...
Step-by-step explanation:w
Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is
where the height of the pyramid is 5
On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:
Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
Answer:
(a) 7.69%
(b) 25%
(c) 2.78%
Step-by-step explanation:
(a)
In a deck of 52 cards there are 4 aces.
The odds in favor or the probability of selecting an ace is:
Thus, the probability of selecting an ace from a random deck of 562 cards is 7.69%.
(b)
The outcomes of each toss of a coin is independent of the other, since the result of the previous toss does not affect the result of the current toss.
The probability that both the tosses will end up in heads is:
Thus, the probability that both the tosses will end up in heads is 25%.
(c)
The sample space of two dice consists of 36 outcomes in total.
Out of these 36 outcomes there is only 1 Boxcar, i.e. two sixes.
The probability of a boxcar when two dice are rolled is:
Thus, the probability of a boxcar when two dice are rolled is 2.78%.
16 • (x2 + 2y4) • (x2 - 2y4)
Step-by-step explanation:
53 + 28 =81
7-1=6
81:6
÷3 both side
27:2
Lowest form is 27:2