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Lera25 [3.4K]
2 years ago
15

What is the sum of 3 - 2i and -5 + 6i?

Mathematics
1 answer:
pogonyaev2 years ago
8 0

Answer: -2 + 4i

Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.

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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari
Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

f(x) = \lambda e^{-\lambda x}  , x >0     where, \lambda = parameter of distribution.

Now, the mean of exponential distribution is = \frac{1}{\lambda}  which is given to us as 35 minutes that means  \lambda = \frac{1}{35}  .

So, X ~ Exp( \lambda = \frac{1}{35} )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

F(x) = P(X \leq x) = 1 - e^{-\lambda x}  , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X \leq 37 min)

  P(X \leq 37 min) = 1 - e^{-\frac{1}{35} \times 37}        {Using CDF}

                         = 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0
3 years ago
Graphing inequalities
tangare [24]
Something along the lines of this...

6 0
3 years ago
A worker is using a polyurethane spray can to seal and protect several new
FromTheMoon [43]

Answer:

7.5

Step-by-step explanation:

(15/5)-0.4-0.4-0.4-0.4-0.4-0.4-0.4-0.2=0

6 0
3 years ago
Simplify -4 1/6 - -6 1/3 Which of the following is correct?
leonid [27]

Answer:

its 2 1/6 (B)

Step-by-step explanation:

3 0
3 years ago
PLEASEEEE I BEG YOU PLZZZ SOMEBODY GIVE ME THE RIGHT ANWSERSS TO THESEEE AND I DONT WNAT ANY WRONG ONES ARE REPORT JUST HELPP CU
fredd [130]

Answer:

Step-by-step explanation:

Question 1: C

1 multiplied by 5 = 5

1 plus 5 = 6

So you get: (x+5)(x+1) which means x = -5 or -1

Question 2: B

2 multiplied by -4 = - 8

2 plus -4 = -2

So you get: (x-4)(x+2) which means x = 4 or -2

6 0
3 years ago
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