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kozerog [31]
3 years ago
6

An electrician charges $15 plus $11 per hour. Another electrician charges $10 plus $15 per hour. Which of the systems of equatio

ns below correctly represents this situation if x represents the number of hours and y represents the total cost?
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

y=11x+15

y=15x+10

This is the system of equariob

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55 is 40% of what number
Oxana [17]
It is important to do the calculations very carefully. Otherwise there is nothing complicated about this problem.
Let us assume the unknown number = x
Then
40x/100 = 55
40x = 55 * 100
40x = 5500
x = 5500/40
  = 550/4
  = 137.5
So 55 is 40% of 137.50. I hope the procedure is clear to you and in future you can solve such problems on your own without requiring any help from outside.This is the simplest way of solving such problems.



5 0
3 years ago
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What is 1+5+6+2+9+126+35+83+21+278-567+1189
Sladkaya [172]
The answer is 1188.

Hope it helped :)
7 0
3 years ago
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businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message
KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: \lambda=\frac{62.7}{24}= 2.6125.

The probability of a random variable can be computed using the formula:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

              = 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

             =1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0
3 years ago
4. Tyrone needs to save $100 to pay for his trip to
erik [133]

Answer:

<u>6 hours</u>

Step-by-step explanation:

Subtract saved amount from required amount :

  • $100 - $45.50
  • $54.50

Divide by the pay rate :

  • $54.50 / $9.25
  • 5.89 ≅ 6

Tyrone must work at least <u>6 hours</u> to have $100 saved.

8 0
2 years ago
What is the value of 30-(-45) ?
zlopas [31]
<h2>Answer:</h2>

<h3>75</h3>

<h2>Step-by-step explanation:</h2>

30 - ( - 45) \\  \\ 30 + 45 \\  \\ 75

<h2>Hope it help you </h2>

<h2>Mark me as a brain list </h2>
6 0
3 years ago
Read 2 more answers
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