........................................ 40 ......................................
Answer:
Step-by-step explanation:
Here
Answer:
19/72
Step-by-step explanation:
To calculate the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
We already know the number that liked chess only which is 10, we have to solve for those that liked swimming only which is
8+7+16+x = 40
x which represent swimming only is
40-31 = 9
Thus probability = 10/72 + 9/72 = 19/72
Answer:
1 false
2 true
3 true
4 false
5 true
Step-by-step explanation:
f(a) = (2a - 7 + a^2) and g(a) = (5 – a).
1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial
When added together, they will be a second degree polynomial
2. true When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction
3. true f(a) + g(a) = (2a - 7 + a^2) + (5 – a)
Combining like terms = a^2 +a -2
4. false f(a) - g(a) = (2a - 7 + a^2) - (5 – a)
Distributing the minus sign (2a - 7 + a^2) - 5 + a
Combining like terms a^2 +3a -12
5. true f(a)* g(a) = (2a - 7 + a^2) (5 – a).
Distribute
(2a - 7 + a^2) (5) – (2a - 7 + a^2) (a)
10a -35a +5a^2 -2a^2 -7a +a^3
Combining like term
-a^3 + 3 a^2 + 17 a - 35
