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torisob [31]
2 years ago
6

Three subtracted from five times a number is -39. what number is?

Mathematics
1 answer:
Vesna [10]2 years ago
4 0

Answer:

A) 5x - 3= -39

B) 5x = -39 + 3

5x = -36

x = -36/ 5

x= -7.2

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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 person has 17 coins, all nickels and dimes, worth $1.25. How many nickels are there?
makvit [3.9K]
This is a problem of guess and check; there's no easier way to do it.But in this case you must have an odd number of nickels to make the 5 cents, so your answer is 9 nickels.you can check this by multiplying each one by .05: 9*.05=.45 the rest of the coins left, are 8 of them, and their dimes. .10*8=.80 .80+.45= 1.25
3 0
3 years ago
This week at HEB, pork chops cost $1.60 per pound. Steve bought 2 1/4 pounds of pork chops. If he paid with a $10 bill, how much
kompoz [17]

Answer:

He received $6.40 in change.

Explanation:

Since he bought 2.25 pounds, you multiply that by 1.6 to get a sum of 3.6. Since he paid with a ten dollar bill, and he only has to pay 3.60, they will give him back 6.40 in change.

Hope this helped :)

6 0
3 years ago
Find the error and explain what there is incorrectly. Then, solve the problem correctly.
frez [133]
The problem is that 7^2 is 7*7, and the same for 8^2. The right answer is the square root of 15, or 3.87
3 0
3 years ago
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How many solutions does the following equation have ? -3x+9-2x=-12-5x?
Maurinko [17]

Answer:

0.....................

5 0
3 years ago
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