Question

Given that ( H(x) = 3x - 2a ) and ( P(x) = 6x + 4 ), find ( P(4375) ).

a) 26254
b) 26250
c) 26246
d) 26242
Find the inverse of ( H(x) = 3x - 4 ).

a) ( H^-1(x) = fracx + 4/3 )
b) ( H^-1(x) = fracx - 4/3 )
c) ( H^-1(x) = frac3/x - 4 )
d) ( H^-1(x) = frac3/x + 4 )
Given that ( g(x) = 2x + 4 ) and ( f(x) = 3x + 2 ), find ( f(g(200)) ).

a) 614
b) 620
c) 616
d) 608

Answer 1

To find P(H OR G), add the probabilities of H and G and subtract the probability of H AND G. The probability of the complement of (H AND G) is 1 minus the probability of (H AND G). The probability of the complement of (H OR G) is 1 minus the probability of (H OR G).

Step-by-step explanation:

To find P(H OR G), we can use the formula:

P(H OR G) = P(H) + P(G) - P(H AND G)

Given that P(H) = 0.26, P(G) = 0.43, and P(H AND G) = 0.14, we can substitute these values:

P(H OR G) = 0.26 + 0.43 - 0.14

P(H OR G) = 0.55

To find the probability of the complement of event (H AND G), we can use the formula:

P(complement of H AND G) = 1 - P(H AND G)

Given that P(H AND G) = 0.14, we can substitute this value:

P(complement of H AND G) = 1 - 0.14

P(complement of H AND G) = 0.86

To find the probability of the complement of event (H OR G), we can use the formula:

P(complement of H OR G) = 1 - P(H OR G)

Given that P(H OR G) = 0.55, we can substitute this value:

P(complement of H OR G) = 1 - 0.55

P(complement of H OR G) = 0.45