The question is asking which of the answer choices is NOT equivalent to
2^-3 = 1/(2^3) = 1/8
You can determine this by expressing each of the answer choices in a manner that lets you compare them to 2^-3 or to 1/8.
A. -2^3 = -8 . . . . . this is not equivalent to 2^-3 or 1/8. This is the appropriate selection.
_____
Let's check the others, just to be sure.
B. 2(1/4)^2 = 2(1/16) = 2/16 = 1/8 . . . . is equivalent to 1/8
C. 2^2 × 2^-5 = 2^(2-5) = 2^-3 . . . . is equivalent to 2^-3
D. (1/2)^3 = 1/2^3 = 1/8 . . . . is equivalent to 1/8
Our choice of A is correct, as all these other choices are equivalent to the given expression.
Ratio of height of the man to the length of the shadow = 6:9 = 2:3
Ratio of height of the tree to the length of its shadow = x:25 = 2:3
x/25 = 2/3
x = (25 x 2)/3 = 50/3 = 16.67
Therefore the approximate height of the tree to the nearest foot is 17 feet.
Answer:
its 5y−30
2
Step-by-step explanation:
Because lets put this problem in slope form. The form is Y=mx+b
ok now lets put it with the number Y=2/5+6
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Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
