The heaviest dinosaur is estimated to have welghed 2.8 x 10^5 pounds. The average car weighs about 4 x 10^3 pounds.
1 answer:
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Answer:
m∠4=160°
m∠6=20°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠6+m∠4=180° ----> equation A (by consecutive interior angles)
m∠6=(1/8)m∠4 ---> equation B
substitute equation B in equation A
(1/8)m∠4+m∠4=180°
Solve for m∠4
(9/8)m∠4=180°
m∠4=180°(8)/9
m∠4=160°
<em>Find the measure of m∠6</em>
m∠6=(1/8)m∠4
m∠6=(1/8)(160°)=20°
Answer:
The probability of obtaining at least one 6 in four rolls of a fair die is 0.5177
The probability of obtaining at least one double six in 24 rolls of a fair die is 0.4914
Step-by-step explanation:
Consider the provided information.
Part (A) What is the probability of obtaining at least one 6 in four rolls of a fair die?
The probability of getting a six in a throw of a fair die is = 1/6
The probability of not getting a six is = 5/6
Let X be the favorable outcome, that at least one 6.
To find the probability of at least one 6, subtract the probability that in 4 throws of a die no 6 is obtained from 1.
Hence, the probability of obtaining at least one 6 in four rolls of a fair die is 0.5177
Part (B) If a pair of fair dice is tossed 24 times, what is the probability of at least one double six?
Throwing two die at a time then the probability of two six is = 1/36
Throwing two die at a time then the probability of not getting two six is = 35/36
To find the probability of at least one double 6, subtract the probability that in 24 throws of a die no 6 is obtained from 1.
Hence, the probability of obtaining at least one double six in 24 rolls of a fair die is 0.4914