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My name is Ann [436]

3 years ago

11

you buy 5 notebooks and a backpack. the cost of the backpack is $27.25. you pay 6% in sales tax on your purchase, and yout total

bill is $43.99. how much does each notebook cost ?

1 answer:

saw5 [17]3 years ago

6 0

That's the answer i hope i got it write!!

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

A new car worth $25,000 is depreciating (loses value) in value by $1,250 per year. Determine how many years will it take for the

Rudiy27

25,000 - 8,500 = 16,500

16,500 :1250 = 13 years and 2 months

6 0

3 years ago

Alinethatincludesthepoint(2, 7)has slope of 5 . what isitsequationin slope -intercept form

Vesna [10]

10? Im not sure though my friend just told me it was 10

8 0

3 years ago

Is 23.6404 greater than 23.64112?

melamori03 [73]

Answer:

No

Step-by-step explanation:

23.64112 > 23.6404

Reason : 1/1000 place value in 23.64112 is 1.

1/1000 place value in 23.6404 is 0.

4 0

3 years ago

Read 2 more answers

VLD [36.1K]

3x + 4(2) = 20
3x + 8 = 20
3x = 12
x = 4
(4,2)
You have y=2 then all you need to do is plug 2 into the y in the equation 3x + 4y = 20 and do the math to find x. Hope this helps

7 0

3 years ago