Answer:
I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2
Step-by-step explanation:
Answer:
Option A.

Step-by-step explanation:
see the attached figure with letters to better understand the problem
In this problem we have a triangle with a circle inscribed in it
so

step 1
Find the length side B.C

substitute the given values

step 2
Find the length side C.D
Remember that

therefore

step 3
Find the length side E.D
we know that

substitute the given values

step 4
Find the length side E.F
Remember that

therefore

step 5
Find the length side A.F
Remember that

therefore

step 6
Find the perimeter


Intersecting point 4,2 with slope of 1/2
Answer:
to the full amount
Step-by-step explanation:
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