Let
a= melon
b= servings of melon
c= slice of melon
equation 1
a= 6b
equation 2
a= cb
equation 3
2/3a=a-1/3a
2/3 = 6b-1/3a
2/3cb= 6b-1/3cb
6b= cb
c= 6 slices
There are 6 slices per serving, thus Stephen ate 6 slices over the weekend
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714
B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
Write the numerator 5 as 5*1
So we have 5/6 = (5*1)/6
We can then pull the 5 out and say (5*1)/6 = 5*(1/6)
The fraction 5/6 is equivalent to 5*(1/6) which is the result of multiplying the whole number 5 by the unit fraction 1/6
Note: A unit fraction is any fraction where the numerator is 1 and the denominator is some larger whole number.
Are you supposed to estimate or get an exact answer? If you're estimating you can see if the number is close to any perfect squares. In this case 63 is very close to 64, and 48 is very close to 49. The answers can then be estimated to be approximately 8 and 7, respectively.