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blondinia [14]
3 years ago
12

Solve the equation. (enter your answers as a comma-separated list. round your answers to four decimal places.) x2e5x + 3xe5x − e

5x = 0 x =
Mathematics
1 answer:
aleksley [76]3 years ago
7 0
It's essential that you use " ^ " to indicate exponentiation if you want to communicate your ideas here accurately.

<span>x2e5x + 3xe5x − e5x = 0 should be written as

x^2e^(5x) + 3xe^(5x) - 1e^(5x) = 0.

e^(5x) can be factored out of all four terms, leaving us with


e^(5x) [x^2 + 3x - 1] = 0.  e^(5x) is never zero, so no solution there.

However, we can set x^2 + 3x - 1 equal to zero and solve for x:

         -3 plus or minus sqrt(3^2 - 4(1)(-1) )
x = ----------------------------------------------------
                                 2
        -3 plus or minus sqrt(13)
   = ----------------------------------------
                                2

So the original equation has two roots.</span>
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Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd
mestny [16]

Answer:

1) P(X = 8) = 0.1033

P(X = 9) = 0.0688

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

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.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So \mu = 6.

P(X = 8)

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

P(X = 8) = \frac{e^{-6}*(6)^{8}}{(8)!} = 0.1033

P(X = 9)

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

P(X = 9) = \frac{e^{-6}*(6)^{9}}{(9)!} = 0.0688

Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

E(X) = 200*0.1033 = 20.66

There is a 6.88 probability that 9 customers would use the drive through for each restaurant.

So of 200, the expected number is

E(X) = 200*0.0688 = 13.76

8 0
3 years ago
Xorlali neeas a number with an 8 in the ten thousands place. Which number can he choose? A. 8,021 C. 8,214,617 B. 16,816 D. 781,
Assoli18 [71]

Answer:

The answer to your questions is letter D

Step-by-step explanation:

We need to look for a number that has an 8 in the ten thousands that means a number after in the fifth position after the decimal point

A. 8,021          this number only has 4 numbers and we need five, then is incorrect.

C. 8,214,617   this number has a number 1 in the fifth position then is incorrect

B. 16,816        this number has a number 1 in the fifth position then is incorrect

D. 781,200      this number has an 8 in the fifth position then is the one we are looking for

7 0
3 years ago
Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She dis
CaHeK987 [17]

Answer:

<u>C. 1 to 7.99</u>

Step-by-step explanation:

Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.

As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:

<u>C. 1 to 7.99</u>

4 0
2 years ago
Read 2 more answers
If f(x)-79*), what is f(3)?
Anika [276]

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

you take the positive value for it

f(-3) = |2×(-3)+1|+5 ➡ |-6+1| + 5 ➡ |-5|+5 = 5+5

6 0
3 years ago
Graph the line of the given equation
Dafna11 [192]

Answer:

Step-by-step explanation:

See the attached image

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