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Tpy6a [65]
3 years ago
6

Evan used half of his paycheck for his car payment, then 125 for groceries. If he has 215 left, how much was his paycheck?

Mathematics
2 answers:
Serhud [2]3 years ago
7 0

Answer:

680

Step-by-step explanation:

Let x denotes the paycheck amount, we can therefore have the following:

215 = x - 0.5x - 125

x- 0. 5x = 215 + 125

x(1 - 0.5) = 340

x0.5 = 340

x = 340/0.5

x = 680

Therefore, Evan has 680 on his paycheck.

Stella [2.4K]3 years ago
4 0

Answer:

680

Step-by-step explanation:

125 + 215 = 340

340+340 = 680

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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

The probability mass function of poisson distribution is given by

P(X) = , x = 0,1,2,3,...,n.

Where, μ(mean of the poisson distribution)

a).

Given that time period t = 1hr.

Then,μ = 8t

             = 8(1)

             = 8

Now,

The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =  

              =  

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Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

1).P(At least 6) = P(X 6)

Consider,

P(X 6) = 1 - P(X5)

                = 1 - {+++++}

                = 1 - (){+++++}

                = 1 - (0.000335){+++++}

                = 1 - (0.000335){1+8+32+85.34+170.67+273.07}

                = 1 - (0.000335){570.08}

                = 1 - 0.1909

                = 0.8090.

Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

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5 0
3 years ago
What is 15 tens - 1 gross ​
vampirchik [111]

Answer:

see the explanation

Step-by-step explanation:

we know that

A gross is equal to 120 ones or ten dozen

what is 15 tens - 1 gross

we know that

15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

10(15)=150

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12

which gives you

10(12)=120

so

The algebraic expression of 15 tens - 1 gross is equal to

150-120=30

Convert to word expression

3  tens

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3 years ago
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Kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by
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Now, in order to find when this is equal to 0, we need to factor.

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x + 2 = 0

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