Normal distribution
μ=3.54
σ=0.63
x≥3.0
Z(X≤x)=(x-μ)/σ=(3-3.54)/0.63=-0.85714
P(X≤x)=0.195683
P(X≥x)=1-P(X≤x)=1-0.195683=0.80432
We are given wit the scaling factor of
1 inch : 0.51 mile
The distance between the two buildings in real life is 2.3 miles. On the map they are
2.3 miles (1 inch / 0.51 mile) = 4.5
inches apart<span />
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.
~
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
<h3>Number of minutes in 3/4 of an hour is :
</h3>
<h3>n = 3/4 × 60 = 45 minutes.
</h3>
<h3>Now, If it continues to rain at that rate for 15 more minutes :
</h3><h3>
</h3><h3>So, time taken = 45 + 15 min = 1 hour.
</h3><h3>
</h3><h3>Let, rain gauge is filled x fraction in 1 hour.
</h3>
<h3>So,
</h3>
<h3>Hence, this is the required solution.</h3>
