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nevsk [136]
3 years ago
11

Can someone please help me with this question??

Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

Step-by-step explanation:

Discount =5% of x = 0.05x

Price after discount = x - 0.05x  = 0.95x

Tax = 5% of 0.95x = 0.05*0.95x

    =0.0475x

Price including tax = 0.95x + 0.475x = 0.9975x

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The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that,
dexar [7]

Answer:

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval

Mean of 0.5

7-day week, so \mu = 7*0.5 = 3.5

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3.5}*(3.5)^{0}}{(0)!} = 0.0302

P(X = 1) = \frac{e^{-3.5}*(3.5)^{1}}{(1)!} = 0.1057

P(X = 2) = \frac{e^{-3.5}*(3.5)^{2}}{(2)!} = 0.1850

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

3 0
3 years ago
one yard company charges $50 a month to mow and edge a lawn plus $10 an hour for the worker. A second conpany charges $60 a mont
AnnyKZ [126]
The cost of company 1: 10x+50
The cost of company 2: 8x+60
The cost will be the same at:
10x + 50 = 8x + 60 \\ 2x = 10 \\ x = 5
The answer is 5 hours
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3 years ago
Find x , y , sin alpha, tg beta and area of triangle​
Len [333]

Answer:

Step-by-step explanation:

7 0
3 years ago
C-5=10 ans plz......
Umnica [9.8K]

Answer:

c = 5

Step-by-step explanation:

c - 5 = 10 \\ c = 10 + 5 \\ c = 15

<h3>Hope it is helpful....</h3>
6 0
3 years ago
Read 2 more answers
Please help with this question on percentages.
wel

Answer:

£65.40

Step-by-step explanation:

4 0
2 years ago
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