Simplify each expression completely.7[3+2(x-4)-6(x-4)]
2 answers:
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Answer:
(a) The correct answer is P (CBM) = 0.79.
(b) The probability of selecting an American female who is not red-green color-blind is 0.996.
(c) The probability that neither are red-green color-blind is 0.9263.
(d) The probability that at least one of them is red-green color-blind is 0.0737.
Step-by-step explanation:
The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.
It is provided that 79% of men and 0.4% of women are colorblind, i.e.
P (CBM) = 0.79
P (CBW) = 0.004
(a)
The probability of selecting an American male who is red-green color-blind is, 0.79.
Thus, the correct answer is P (CBM) = 0.79.
(b)
The probability of the complement of an event is the probability of that event not happening.
Then,
P(not CBW) = 1 - P(CBW)
= 1 - 0.004
= 0.996.
Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.
(c)
The probability the woman is not colorblind is 0.996.
The probability that the man is not color- blind is,
P(not CBM) = 1 - P(CBM)
= 1 - 0.004
= 0.93.
The man and woman are selected independently.
Compute the probability that neither are red-green color-blind as follows:
Thus, the probability that neither are red-green color-blind is 0.9263.
(d)
It is provided that a one man and one woman are selected at random.
The event that “At least one is colorblind” is the complement of part (d) that “Neither is Colorblind.”
Compute the probability that at least one of them is red-green color-blind as follows:
Thus, the probability that at least one of them is red-green color-blind is 0.0737.
The logarithm : ÷
= 4.
- Logarithm, the exponent or electricity to which a base should be raised to yield a given number.
- Expressed mathematically, x is the logarithm of n to the bottom b if b^x = n, wherein case one writes x = log_b n.
- Logarithms are described because the answers to exponential equations and so are nearly beneficial in any scenario in which one wishes to remedy such equations (together with locating how lengthy it's going to take for a populace to double or for a financial institution stability to attain a given fee with compound interest).
- A logarithm is the electricity to which a number of should be raised so that it will get a few different number.
- For example, the bottom ten logarithm of a hundred is 2, due to the fact ten raised to the electricity of is a hundred: log(100) = 2.
To learn more about logarithm from the given link:
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