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Arte-miy333 [17]
3 years ago
9

Geometry please help!:(

Mathematics
1 answer:
Burka [1]3 years ago
5 0
It would be triangle because you're cutting it
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Choose whether each decimal terminates or repeats.
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0.99-repeats

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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 ≤
marusya05 [52]

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

8 0
4 years ago
The probability distribution for a<br> random variable x is given in the table.
Hoochie [10]

Answer: 0.79

Step-by-step explanation:

I will suppose that this is not a continuos probability, as the individual probabilites add up to 100%.

If you want to obtain the probability that x ≤ 0, then you need to add the probability for the cases x= 0, x = -1, x = -2 .... etc

This is:

x = 0, p = .16

x = -2, p = .33

x = -3, p = .13

x = -5, p = .17

Then, the probability where x takes a negative value or zero {-5, -3, -2, 0} is:

P = 0.16 + 0.33 + 0.13 + 0.17 = 0.79

7 0
3 years ago
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