Answer:
or 
Step-by-step explanation:
I assume you mean 
there is a common factor of 9 in the numerator and denominator so we can cancel out to form
is technically a correct answer, but I will go ahead to rationalize the denominator
multiply by some form of 1. this case, we will use 
as our 1.
* = 
=
Step-by-step explanation:
i) answer =1
ii) 2 <u>-3m + 6n -2</u> x 3 <u>3-m</u>
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:
1.) 138
2.) 55
Step-by-step explanation:
1.) 8 x 6 = 48 x 2 = 96
(middle) 8 x 3 = 24
(triangles) 6 x 3 = 18 divided by 2 = 9 x 2 = 18
96 + 24 + 18 = 138
2.) (middle) 5 x 5 = 25
(triangles) 5 x 3 = 15 divided by 2 = 7.5 x 4 = 30
30 + 25 = 55
Hope this helped!!
