Answer:
a. $121.07
b. $60.9
C. $20.03
Step-by-step explanation:
From the equation given
Y=181.7-20.21x
Where y is in dollars and X is in years
a. To find the resale price after 3years we have, we substitute x=3 into the given equation.
We have
y=181.7-20.21(3)
y=181.7-60.63
y=121.07
The resale price after 3years is $121.07
b. To find the resale price after 6years we have, we substitute x=6 into the given equation.
We have
y=181.7-20.21(6)
y=181.7-120.72
y=60.98
The resale price after 3years is $60.98
C. To find the average decrease per year, we have
[(x=3)-(x=6)]/3
=(121.07-60.98)/3
$20.03
Hence the average annual decrease is $20.03
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Step-by-step explanation:
Given equation of circle is,

again the another form of circle is,

now equating the values of f in both equations,
-k=-3
i.e. k=3
therefore k=3
Answer:
8x-2y
Step-by-step explanation:
3x4y+5x+2y
Simplify
1 Combine like terms
3x4y+5x+2y
8x-4y+2y
2 Combine like terms
8x-4y+2y
8x-2y
Solution
8x-2y
Hope this helps!
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If the scale factor is less then 1, it was reduced.
If the scale factor is more than 1, it was enlarged.
If it is equal to 1, it is the same.
Hope this helps!