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Alex777 [14]
3 years ago
14

The URS construction company has submitted two​ bids, one to build a large hotel in London and the other to build a commercial o

ffice building in New York City. The company believes it has a​ 40% chance of winning the hotel bid and a​ 25% chance of winning the office building bid. The company also believes that winning the hotel bid is independent of winning the office building bid. What is the probability the company will win at least one​ contract?
Mathematics
1 answer:
topjm [15]3 years ago
5 0

Answer: Our required probability is 0.55.

Step-by-step explanation:

Since we have given that

Probability that chance of winning the hotel bid = 40%

Probability that no chance of winning the hotel bid = 100-40=60%

Probability that chance of winning the office building bid = 25%

Probability that no chance of winning the office building bid = 100-25 = 75%

So, Probability that the company will win at least one contract is given by

0.4\times 0.75+0.6\times 0.25+0.4\times 0.25\\\\=0.55

Hence, our required probability is 0.55.

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Answer:

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Step by step explanation:

4 0
3 years ago
Ravi buys lunch at a restaurant.
ipn [44]

The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.

<h3>What is the price of the lunch?</h3>

Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.

Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34

Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19

To learn more about taxes, please check: brainly.com/question/25311567

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5 0
2 years ago
Find angle D if angle B = 50
Mariana [72]
<h3>Answer:  80 degrees</h3>

============================================================

Explanation:

I'm assuming that segments AD and CD are tangents to the circle.

We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.

By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.

----------------------------

Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.

Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.

We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.

---------------------------

Here's what we have so far for quadrilateral DAEC

  • angle A = 90
  • angle E = 100
  • angle C = 90
  • angle D = unknown

Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees

A+E+C+D = 360

90+100+90+D = 360

D+280 = 360

D = 360-280

D = 80

Or a shortcut you can take is to realize that angles E and D are supplementary

E+D = 180

100+D = 180

D = 180-100

D = 80

This only works if AD and CD are tangents.

Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

5 0
3 years ago
Sove: -6n+5&lt;11 <br> Which graph shows the solutions?
Dovator [93]

Answer: The first one

Step-by-step explanation: first you have to subtract 5 from both sides and then you have -6n < 6 . Then you have to divide both sides by -6 then you get n < -1.

8 0
2 years ago
Find the equation of the line <br><br> Y= __x + __
SpyIntel [72]

Answer:

Step-by-step explanation:

(0, -9) and (3,3)

(3+9)/(3-0) = 12/3 = 4

y + 9 = 4(x - 0)

y + 9 = 4x - 0

y = 4x - 9

5 0
3 years ago
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