We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).

Let p = proportion of all women shoppers who remain loyal to their favorite supermarket

Now, the point estimate for the population proportion (p) is represented by ;

Point estimate for p = $\hat p$ = $\frac{X}{n}$

where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628

n = sample of women shoppers = 730

So, point estimate for p ( $\hat p$ ) = $\frac{X}{n}$

= $\frac{628}{730}$ = 0.86

4 0

3 years ago

Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and express P(x) in the for

lilavasa [31]

Answer:

$P(x)=(x+9)(x^2-7x+52)+3$

Step-by-step explanation:

We are given that

$P(x)=x^3+2x^2-11x+471$

$d(x)=x+9$

We have to find the value of Q(x) and Remainder R(x).

Quotient, $Q(x)=x^2-7x+52$

Remainder, $R(x)=3$

We know that

$Dividend=Divisor\times Quotient+Remainder$

$P(x)=(x+9)(x^2-7x+52)+3$

4 0

3 years ago