Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
Answer:
<h2>Less than 0.84</h2>
Step-by-step explanation:
- Convert all numbers to decimals
- 85% --> 0.85
- 0.88 --> 0.88
Since these are the top three, the rest of the competitors are less than 0.84.
3(2(5)+4)-5
3(10+4)-5
30+12-5
42-5
37
first qn
4/36=1/9
total no. of ways to roll a dice=36
no. of ways to produce 7=3
(1+6=7, 2+5=7, 3+4=7)
no. of ways to produce 11=1
(5+6=11)
there are 4 ways in total. 4/36 simplify it to be 1/9
second qn im not sure but i think its
1/9 x 50 = 50/9 = 5 x (5/9)
round it off to the smaller whole no. which is 5 so i think its 5 times in 50 trials
Answer:
24/35, about 69%
Step-by-step explanation:
The data given can be put into a 2-way table (attached). It shows that 0.48 of all calls were answered and resulted in a mortgage application. Altogether, 0.70 of all calls resulted in a mortgage application. Thus the conditional probability of interest is ...
p(spoke to attendant | applied for a mortgage) = p(spoke & applied)/p(applied)
= 0.48/0.70 = 24/35 ≈ 69%
