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stellarik [79]
2 years ago
10

Find PQ if possible

Mathematics
1 answer:
cupoosta [38]2 years ago
8 0

Answer:

11 units.

Step-by-step explanation:

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If f(x) and g(x) are polynomial functions, what is the domain of f(x) + g(x) ?
IRINA_888 [86]

Answer:

all real numbers or (-\infty, \infty)

Step-by-step explanation:

since both f(x) and g(x) are polynomials, neither of them have restrictions on their domains. Since they can be defined for all real numbers. It's not like the square root which has a domain of (0, infinity), or log x which is defined only from (0, infinity). So adding these two polynomials would result in a domain of all real numbers.

7 0
2 years ago
If f(x) = 3x - 9 and g(x) = x², what is (gºf)(5)?​
Xelga [282]

Answer:

36

Step-by-step explanation:

Here, f(x) is the input to g(x), forming a composite function.

To evaluate  (gºf)(5),

1) find the value of f(5).  It is f(5) = 6.

2) Use this result as the input to g(x):  g(6) = (6)^2 = 36

3 0
3 years ago
VI
barxatty [35]

Answer:D hope it helped

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. a) What’s the probabili
Bess [88]

Answer:

a) 0.0184

b) 0.1829

Step-by-step explanation:

a) With geometric distribution you can measure the number of trials until the first success, that is, a defective chip is found, as follows:

P(x = k) = p*(1-p)^(k-1)

This means: probability to find exactly 1 defective in k trials, p is the probability to find a defective chip, which is equal to 0.02, and the number of trials are k = 5. Replacing:

P(x = 5) = 0.02*(1-0.02)^(5-1) = 0.0184

b) If you want the probability of 1 success within k trials, compute:

P(x

Replacing with k = 10

P(x

4 0
3 years ago
In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow
Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

6 0
3 years ago
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