THIS IS THE COMPLETE QUESTION BELOW
The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.
Answer
$168.27
Step by step Explanation
Given p=90000/400+3x
With the limits of 40 to 50
Then we need the integral in the form below to find the average price
1/(g-d)∫ⁿₐf(x)dx
Where n= 40 and a= 50, then if we substitute p and the limits then we integrate
1/(50-40)∫⁵⁰₄₀(90000/400+3x)
1/10∫⁵⁰₄₀(90000/400+3x)
If we perform some factorization we have
90000/(10)(3)∫3dx/(400+3x)
3000[ln400+3x]₄₀⁵⁰
Then let substitute the upper and lower limits we have
3000[ln400+3(50)]-ln[400+3(40]
30000[ln550-ln520]
3000[6.3099×6.254]
3000[0.056]
=168.27
the average price p on the interval 40 ≤ x ≤ 50 is
=$168.27
Answer:2.50cm
Step-by-step explanation:
To do this you need 94 inches of braid.
94 inches = ? yards
1 inch = 0.0277778 yard
94 × 0.0277778 = <span>2.6111132.
Since you can only pay for a full yard you would buy 3 yards which would cost:-
$0.60 </span>× 3 = $1.80.
So for this you would need 3 yards which would cost $1.80.
Hope I helped:P
Answer:
The percentage of the variability in plant weight is NOT explained by height is
%
Step-by-step explanation:
From the question we are told that
The correlation between height and weight is 
Generally the R-Squared between height and weight is mathematically represented as
substituting values
This R-Squared tells us the percentage of plant weight is accounted by height
and from the calculation we see that it is 56.3%
Now the percentage of plant weight that is not accounted by height is
%
