<h2>
Answer with explanation:</h2>
Let p be the true proportion of registered voters wish to see Mayor Waffleskate defeated.
As per given , we have
Sample size : n= 447
Number of of registered voters wish to see Mayor Waffleskate defeated = 157
I.e. sample proportion : 
Confidence interval for population proportion is given by :-
, where n= sample size
= sample proportion
z* = critical z-value.
Critical z-value for 98% confidence interval is 2.33. (By z-table)
Then, the 98% confidence interval for the proportion of registered voters who wish to see Waffleskate defeated will be :
Since the 0.27 < 0.299 , it means 0.27 does not belong to the above confidence interval.
So , we reject the null hypothesis (
).
So , <u>98% confidence interval does not support the claim.</u>
Flat fee is computed by:
The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.
So, $0.25 x 10,000 = $2500
So the total sales price per tile sold was $2,500.
The buyer paid $3,000, so the flat fee was included there.
So, $3,000 - $2,500 = $500
So the flat fee was $500.
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The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included
So the function describing the revenue of the tile from this sale is:
R(x) = 0.25x + 500
Step-by-step explanation:
The electrical force between two unlike charge is given by :
k is electrostatic constant
q₁ and q₂ are two charges
r is the distance between charges
It is clear that the electric force is inversely proportional to the square of the distance between them.
The graph F as a function of r for two positive charges is shown in the attached figure. It is a hyperbola.
No, Leo's answer is not a product of prime polynomials because x2 – 1 can be factored. This is a difference of squares. He should continue factoring to get
(x – 1)(x + 1)(3x + 5).
