Answer:
d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.
Step-by-step explanation:
In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.
Answer:
Step-by-step explanation:
Let f be a function from N to N.
N_set of all natural numbers
i) one to one but not onto
consider the function

When two numbers have same square we find that the numbers should be the same because they are positive.
So one to one but not onto because consider 3 it does not have square root in N.
ii) Onto but not one to one
Consider

this is onto because every number has a preimage in N.
But not onto because consider 6 and 3, f(6) = 3 and f(3) =3
So not one to one
iii) both onto and one-to-one
f(x) = 
=x+1, x even
This is both one to one and onto since we consider only integers
iv) Neither one to one nor onto
Consider the function
f(x) = 2
This is not onto because 3 cannot have a preimage in N, not one to one because f(1) = f(2) where 1 not equals 2
Slope intercept form is y=mx+b
Y= y intercept
M = slope
B = x intercept
-2x-11y= 5 get the y by itself
-11y = 2x + 5 divide by -11
y = -2/11x + 5/11
slope is -2/11
Answer:
nth term, 
10th term, 
Step-by-step explanation:
From the question;
- We are given the first term,

- The common ratio, r = 2
We are required to write the formula of getting nth term and find the 10th term of the sequence;
- We need to know that for nth term in a geometric sequence, we use the formula;

Therefore, in this case;
nth term will be given by;
, where n is the term in the sequence;
Therefore;
To get the 10th term of the sequence;



Therefore, the tenth term of the sequence is 512