Answer:
df refers to degrees of freedom.
the specific value of df in the example is 21.
Step-by-step explanation:
In statistics, <em>degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. It is the number of independent ways by which a dynamic system can move, without violating any constraint imposed on it.
In other words,<em> degrees of freedom is </em>the number of independent pieces of information that went into calculating the estimate, and calculated by
n – 1 where “n” is the number of items in your set.
In the question, a simple random sample of 22 speeds of cars on California Highway 405 is to be used to test the claim, thus the number of items in the survey are 22.
From this we get:
df=22-1=21
I hope this helps you
f (x)=4x-x/6
f (x)=23x/6
6.f (x)=23x
x=6.f (x)/23
f^-1 (x)=6.x/23
Step 1: evaluate f(x+h) and f(x)
We have
And, of course,
Step 2: evaluate f(x+h)-f(x)
Step 3: evaluate (f(x+h)-f(x))/h
Step 4: evaluate the limit of step 3 as h->0
So, we have
Answer:
40
Step-by-step explanation:
Given that
Total number of adults, U = 285
Number of plane travellers, P = 75
Number of train travellers, T = 55
To find the number of people that didn't travel by any means of transportation listed in the question, then we say
Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.
This means that number of people who didn't travel by any of the three means of transportation, N =
N = U - pt - b
N = 285 - 215 - 30
N = 40
Therefore, the total number needed is 40
Answer:
The expression is given as:
.
Step-by-step explanation:
Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:
Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function
Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.
Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.
i.e. H(t)=C(t)×F(t)
and we know that 
Hence,
.
Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:
.
