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puteri [66]
3 years ago
6

Help with number 27 can you explain how u got the answer

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0
So you subsitute 275 for n in the equation

becaue the question says 'let n represent the number of text messages'
so .15(n-250)+5=.15(275-250)+5
so we do the stuff in the parenthasees () first so .15(25)+5

multiply by .15 or 15/100 so 
and you get 3.75
3.75+5
you add 5 and get 8.75

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Suppose that the useful life of a car battery, measured in months, decays with parameter 0.03 . We are interested in the life of
scZoUnD [109]

Answer:

a) X ~ e(0.03)

b) μ = 100/3

c) \sigma = 100/3

d) A battery is expected to last 100/3 months (33 months and 10 days approximately).

e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).

Step-by-step explanation:

a) The life of a battery is usually modeled with an exponential distribution X ~ e(0.03)

b) The mean of X is μ = 1/0.03 = 100/3

c) The standard deviation is \sigma = 1/0.03 = 100/3

d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.

e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.

4 0
3 years ago
Solve the question below, please.
Ne4ueva [31]

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}, to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}

Cos(C) = \frac{3,524}{4,000}

C = Cos^{-1}(\frac{3,524}{4,000})

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

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b = 22 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}

Cos(C) = \frac{808}{1,320}

C = Cos^{-1}(\frac{808}{1,320)}

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6 0
3 years ago
Can someone explain how to solve this?
Sav [38]
Look up on google to find out the answer that’s how I get mine
6 0
2 years ago
A scale drawing uses the scale 3 in =20ft find the missing measure 57 in = ft
Margarita [4]
If 3 inch....................................20 ft
?inc...........................................57 feet

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8 0
3 years ago
7.) A bag of 8 apples costs $1.50 at Sam's Orchard,
const2013 [10]

Answer:

a) 3.375 cents

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6 0
3 years ago
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