2 years ago

Find the number of ordered quadruples (a, b, c,

Mathematics

1 answer:

Pavel [41]2 years ago

4 0

The answer to the question is c

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On any night, there is a 92% chance that an burglary attempt will trigger the alarm, and a 1% chance of a false alarm, namely th

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Answer:

Step-by-step explanation:

Step1: P(Burglary) = .001

Step2: P(Alarm|Burglary Happens) = .92

Step3: Probability of alarm going (in total) = P(Alarm) when burglary happens + P(Alarm) when burglary does not happen.

Step4: Use Bayes theorem.

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1 year ago

. Explain how trigonometry can be used to determine the height of a cell phone tower. Be sure to list the tools required and how

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What value of x would make KM ∥ JN?

stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if $\dfrac{JK}{KL}= \dfrac{NM}{ML}$ , then KM ∥ JN.

Substitute the expressions into the proportion:

$\dfrac{x-5}{x}= \dfrac{x-3}{x+4}$

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

$x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).$

Multiply and simplify:

$x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10$

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

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1 year ago

Solve 2sinx + √2 = 0

stepladder [879]

Attached you will see the solution using the trig plane and general solutions.

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Dan is using tiles to add Negative 8 + 6. He begins with the tiles shown below. 8 negative tiles. What is the sum of Negative 8

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The answer is -2

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2 years ago

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