Answer:
4+7x
Step-by-step explanation:
Answer:
c. 0.3421
Step-by-step explanation:
The computation of the probability of selecting the biased coin is shown below:
The probability of any coin selected is 1 ÷ 2
The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)
And, the win probability is 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)
Now the probability of biased or win is
= {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)}
= 0.13 ÷ 0.38
= 0.3421
Hence, the correct option is c. 0.3421
Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Step-by-step explanation: Given that The statements 'p', 'q' and 'r' are defined as follows.
p : it is cold,
q : it is humid,
r : it is snowing.
The statement 'it is cold and humid if and only if it is snowing' can be written as
(p∧q) ⇔ r.
We know that r ⇔ s can be written as (r⇒s)∧(s⇒r).
So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Answer:
x = 2/5
Step-by-step explanation:
![x^3=\dfrac{0.008}{0.125}=\dfrac{8}{125}=\dfrac{2^3}{5^3}\\\\x=\sqrt[3]{\dfrac{2^3}{5^3}}=\dfrac{\sqrt[3]{2^3}}{\sqrt[3]{5^3}}=\dfrac{2}{5}](https://tex.z-dn.net/?f=x%5E3%3D%5Cdfrac%7B0.008%7D%7B0.125%7D%3D%5Cdfrac%7B8%7D%7B125%7D%3D%5Cdfrac%7B2%5E3%7D%7B5%5E3%7D%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B2%5E3%7D%7B5%5E3%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B2%5E3%7D%7D%7B%5Csqrt%5B3%5D%7B5%5E3%7D%7D%3D%5Cdfrac%7B2%7D%7B5%7D)
The value of x is 2/5.
