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Ludmilka [50]
2 years ago
5

A skateboard company tracks the sales of their short boards and long boards. The company's records show the sales of short board

s decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.
expression a:624(o.94)^4t
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
expression b :725(1.12)^3t
Select the statements that give a correct interpretation of the above expressions.

Expression A grows at a rate of 5% every three months, while expression B decays at
a rate of 12% every four months.


Expression A has an initial value of 0.95, while expression B has an initial value of 1.12.

Expression A decays at a rate of 5% every three months, while expression B grows at
a rate of 12% every four months.

Expression A has an initial value of 624, while expression B has an initial value of 725.

Expression A decays at 5% every three years, while expression B grows at a rate of 12% every four years.
Mathematics
2 answers:
GrogVix [38]2 years ago
6 0

Answer:

Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months

Expression A has initial value of 624, while expression B has initial value of 725

Step-by-step explanation:

plato correct

Ivan2 years ago
4 0
I really need help with this you have to choose all the ones that apply please help
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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b)  P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

                         P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

                         P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

                         = (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

                         = 0.87

b) P(X ≥ 5):

            P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

            = 1 - 0.98994

            = 0.01

c) P(1 ≤ X ≤ 4):

            P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = ( 0.87 - 0.95^25) + 0.11994

           = 0.71

d) P( X = 0 )

            P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

            E(X) = n*p

            E(X) = 25*0.05 = 1.25

            σ(X) = sqrt ( Var (X) )

            σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

            σ(X) = 1.09

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A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discou
dsp73

the final price of the wind chime is $29.925 .

<u>Step-by-step explanation:</u>

Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:

Initially we have , 5% discount in $30 i.e.

⇒ (30(5))/100

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⇒ (28.5(5))/100

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⇒ $1.425

So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .

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