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geniusboy [140]
2 years ago
7

Simplify the expression: -12 - 4x + 9 + -10 + 8x

Mathematics
2 answers:
beks73 [17]2 years ago
5 0

Answer:

4x - 13 there you go!!!

Step-by-step explanation:

Ann [662]2 years ago
4 0

Answer:

Step-by-step explanation:

4x-13

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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
The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t
NARA [144]

Answer: The answer is 50%.


Step-by-step explanation:  Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.

We have,

Percent Increase in labour productivity will be equal to the percent increase in the number of articles.

Increase in the number of articles after retooling = 189 - 126 = 63.

Therefore, percent increase in the number of articles is given by

p=\dfrac{63}{126}\times 100\%=\dfrac{100}{2}\%=50\%.

Thus, the labour productivity increased by 50%.

8 0
3 years ago
A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth
Pachacha [2.7K]

Answer:

Biography= 8/24= 1/3

Science Fiction= 6/24= 1/4

Step-by-step explanation:

The probability for biography is (biography/total amount of books.)

8/24= 1/3

The probability for science fiction is (science fiction/ total amount of books.)

6/24= 1/4

6 0
3 years ago
57
Lapatulllka [165]
Could you show a picture so i could understand a little bit better?
6 0
2 years ago
Which of the following lists of ordered pairs is a function? A.(2, 4), (3, 9), (4, 16), (5, 25) B.(0, 2), (4, 2), (0, –4), (4, –
marta [7]
A, is the answer because each input has one and only one output
3 0
3 years ago
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