Solve for X look at the image below
Solve for X look at the image below - 1

Answers

Answer 1
Answer:

Answer:

x = 3

Step-by-step explanation:

m<R = 180 - 110 = 70

m(arc)KQ = 2 × 70 = 140

m(arc)PQ = 140 - 50 = 90

30x = 90

x = 3


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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would be delayed when it is not raining? Round your answer to the nearest thousandth.

Answers

The probability that the flight would be delayed when it is not raining is 12.15%.

Since at LaGuardia Airport, for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15, while the probability that it will not rain and the flight will leave on time is 0.74 , to determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:

  • Probability that it will not rain = 1 - probability that it will rain
  • X = 1 - 0.19
  • X = 0.81

  • Probability that the flight would be delayed when it is not raining = probability that it is not raining x probability that the flight will be delayed
  • X = 0.81 x 0.15
  • X = 0.1215
  • 0.1215 x 100 = 12.15

Therefore, the probability that the flight would be delayed when it is not raining is 12.15%.

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Final answer:

To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula: P(delayed | not raining) = P(delayed and not raining) / P(not raining). We are given the values for these probabilities and can calculate the answer as approximately 0.914.

Explanation:

To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula:
P(delayed | not raining) = P(delayed and not raining) / P(not raining)
We are given that P(delayed and not raining) = 0.74 and P(not raining) = 1 - 0.19 = 0.81. Substituting these values into the formula:
P(delayed | not raining) = 0.74 / 0.81 ≈ 0.914. Therefore, the probability that the flight would be delayed when it is not raining is approximately 0.914.

Learn more about Conditional Probability here:

brainly.com/question/32171649

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BEST ANSWER GETS A METAL!!!!Which pair of complex numbers has a real-number product?

(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)

Answers

we will proceed to verify each case to determine the solution

remember that

i^(2) =-1

case A)(1 + 3i)(6i)

applying distributive property

(1 + 3i)(6i)=1*6i+3i*6i \n=6i+18i^(2)\n=6i+18*(-1)\n=6i-18

-18+6i ------> is not a real number

therefore

the case A) is not a real number product

case B)(1 + 3i)(2-3i)

applying distributive property

(1 + 3i)(2-3i)=1*2+1*(-3i)+3i*(2)+3i*(-3i)\n=2-3i+6i-9i^(2)\n=2+3i-9*(-1) \n=11+3i

11+3i ------> is not a real number

therefore

the case B) is not a real number product  

case C)(1 + 3i)(1-3i)

applying difference of square

(1 + 3i)(1-3i)=(1)^(2)-(3i)^(2)\n=1-9i^(2)\n=1-9*(-1) \n=10

10 ------> is a real number

therefore

the case C) is  a real number product  

case D)(1 + 3i)(3i)

applying distributive property

(1 + 3i)(3i)=1*3i+3i*3i \n=3i+9i^(2)\n=3i+9*(-1) \n=3i-9

-9+3i ------> is not a real number

therefore

the case D) is not a real number product

the answer is

(1 + 3i)(1-3i)

     

The answer is (1 + 3i)(1 – 3i).

There are 92 students on the bus. 43 are girls and the rest are boys. At the stop along route, half of the students exit the bus. How many students are left after that stop?

Answers

92 students were on the bus and half left
so thats 92/2 and you get 46
46 students were left on the bus

Hope this helps! :))

6. Write two rational numbers which are their own reciprocals ?

Answers

1 and -1 are the only rational numbers which are their own reciprocal.\:

estion 15 of 20 : Select the best answer for the question. 15. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?

Answers

We have to calculate the size of a buttonhole if we know that it needs to be the size of the button`s diameter. We know also a circumference of the button: C = 9.42 cm. Formula for calculating the circumference is: C = 2 * r * Pi = d * Pi. Pi is approximately 3.14. So 9.42 = d * 3.14; d = 9.42 : 3.14; d = 3 cm. Answer: The size of the buttonhole has to be 3 cm.

You have a coupon good for $5 off the price of any large pizza. You also get a 15% discount on any pizza if you show your student ID. How much more would you pay for a large pizza if the cashier applies the coupon first?

Answers

Below is the solution for the problem above:

Given: 
Let x be the price of the pizza 
$5 for the coupon 
15% discount 

Solution 
x is the price of the pizza. If coupon is applied before:
 (x-5)0.85=0.85x-0.85*5
 
if it is applied after: 0.85x-5
 
Therefore, the difference between the two is 0.15*5=0.75

The answer is USD 0.75