Answer:
The point estimate for p is 0.86.
Step-by-step explanation:
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 = <u><em>proportion of all women shoppers who remain loyal to their favorite supermarket</em></u>
Now, the point estimate for the population proportion (p) is represented by ;
Point estimate for p =
=
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, <u>point estimate for p</u> (
) =
=
= <u>0.86</u>
Answer:
b
Step-by-step explanation:
Answer:
804.2 meters³
Step-by-step explanation:
To find the volume of a cylinder, you multiply the height by the area of the base (which is πr²), so the equation is <em>V = hπr²</em>.
We can plug in out givens: <em>V = 16*π*4²</em>. Simplifying this gives us <em>V = 256 π meters³</em> which is approximately 804.2 meters³.
Let's use the equation 5x - 20 = 10 as an example for this.
To work backwards from this, you would add the same amount to each side.
You want to isolate the 5x so that you can solve for x.
To do that, you would add 20.
But again, you must add and subtract the same amount to both sides.
So it would look a bit like this:
5x - 20 + 20 = 10 + 20
That would simplify to 5x = 30, or in other words, x = 6.
Basically, you isolate the multiple of the variable then divide the answer to the equation from that multiple.
In the example, 5 is the multiple and after isolating it, the answer was 30.
30 ÷ 5 = 6
x = 6
Hope this helps :)