
Differentiate both sides wrt
:

By the chain rule, we get


Solve for
:


Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The proportion that live with their parents is 
The sample size is n = 125
Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution
i.e

Now the mean is evaluated as



Generally the proportion that are not staying with parents is

= > 
The standard deviation is mathematically evaluated as



Given the n is large then we can use normal approximation to evaluate the probability as follows

Now applying continuity correction

Generally



So for the z - table


Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.
Answer $2.84
Step-by-step explanation:
11.36 divided by 4
Set up the proportion line up minutes with minutes and miles with miles so it would be x over 60 36 over 45 and u get 48