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Paha777
1 month ago
5

Ms. tucker travels through two intersections with traffic lights as she drives to the market. the traffic lights operate indepen

dently. the probability that both lights will be red when she reaches them is 0.22. the probability that the first light will be red and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it?
Mathematics
1 answer:
Inessa [12.5K]1 month ago
4 0
For two independent events occurring consecutively, the combined probability is the multiplication of each individual probability, i.e. P(red1,red2)=0.22

It’s provided that the odds of the first being red and the second not being red is 0.33,

The probability of the initial light being red is P(red1)=0.33+0.22=0.55. 

Since the events are independent, then

P(red1)*P(red2)=P(red1,red2)
0.55*P(red2)=0.22
P(red2)=0.4
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This question reveals an intriguing pattern.

The rule or pattern to follow here is:

For the left side of the number compared to its predecessor: (First digit x Third digit + 1)

For the right side: (Second digit x Fourth digit -1)

For instance, consider 6447. Next, let's examine its previous number, 9876.

Now, 9\times 7+1=64 and

8\times 6-1=47

that's how we arrived at 6447

Next, for the third number, 2527, let's look at its previous number, 6447

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and 4\times 7-1=27

that's how we reached 2527

Following the same reasoning, the missing number should be 534.

This conclusion came from applying the rule of the pattern as:

(2\times 2)+1=5

and

(5\times 7)-1=34

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29 days ago
Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.
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The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:

-2x + 5x = 8 + 4
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Value of sec Square 26 degrees - cot square 64 degrees is
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Answer:

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Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

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sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

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Substituting values,

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\frac{1-cos^2(64\°)}{sin^2(64\°)}

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By substitution,

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