Do you have an insatiable craving for chocolate or some other food? since many north americans apparently do, psychologists are designing scientific studies to examine the phenomenon. according to the survey, it was revealed that 97% of the women in the study acknowledged specific food cravings while only 67% of the men did. assume that 600 of the respondents were women and 400 were men. find and interpret the 90% confidence interval for the difference between the population proportions.

Step-by-step explanation:

Given

Solving (a): A common denominator of M and N.

To do this, we simply get the LCM of both denominators

Factorize both:

The LCM is

Hence, the common denominator is:

Solving (b): Rewrite M

Factor the denominator:

The LCM calculated in (a) above is:

So, we have to multiply the numerator and denominator of M by (x - 4)

The expression becomes:

Solving (c): Rewrite N

Factor the denominator:

The LCM calculated in (a) above is:

So, we have to multiply the numerator and denominator of N by (x + 5)

The expression becomes:

(d) Solve M + N

Take LCM

Open brackets

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