Answer:
The value of (f/g) (8) = -169
Step-by-step explanation:
<u>Step 1: explaining the question</u>
The quotient (f/g) is not defined at values of x ⇒ both the functions must be defined at a point for the combination to be defined.
⇒(f/g)(x) =(f(x)) / (g(x))
If f(x)= 3-2 and g(x)=1/x+5
⇒then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))
⇒(f/g)(8) = f(8) / g(8)
to solve this we have to find the value of both f(8) and g(8)
<u>Step 2: find value of f(8) and g(8)</u>
⇒ we know that f(x) = 3-2x and we know dat f(x) = f(8)
⇒ f(8) = 3-2(8)
f(8) = 3-16 = -13
⇒we know that g(x) = 1/x+5 and g(x) = g(8)
⇒ g(8) = 1/8+5
g(8) =1/13
These 2 equations we will insert in the following : ⇒(f/g)(8) = f(8) / g(8)
⇒ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169
The value of (f/g) (8) = -169
Hmmm. 20 or 30 so the teacher will count the rest,if a student guessed, wrong or right
Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z = 
on substituting the respective values, we get
Z = 
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is 
i.e 
Now from standard normal table
= -1.96
