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Tpy6a [65]
3 years ago
8

During a single day at radio station WMZH, the probability that a particular song is played is 6/7. What is the probability that

this song will be played on at least 5 days out of 6 days? Round your answer to the nearest thousandth.
Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

The required probability is 0.462.

Step-by-step explanation:

Probability to play the song = 6/7

Probability not to play the song = 1 - 6/7 = 1/7

Required probability  

= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days

=\left (\frac{6}{7}  \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7}  \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462

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kherson [118]

Answer:

We conclude that:

  • g(10) = 8

Step-by-step explanation:

First, we need to clear some concepts on how to fetch input and output from the function graph.

Determining the y-intercept:

We know that the y-intercept of the graph function can be determined by setting x = 0 and determining the corresponding y-value.

From the graph it is clear that x = 0, the value of y = 5. In other words, the graph intersects the y-axis at y = 5.

Therefore, the y-intercept of the graph is (0, 5).

Thus,

  • g(0) = 5

Determining the x-intercept:

We know that the x-intercept of the graph function can be determined by setting y = 0 and determining the corresponding x-value.

From the graph, it is clear that y = 0, the value of x = -10. In other words, the graph intersects the x-axis at x = -10.

Therefore, the x-intercept of the graph is (-10, 0).

Thus,

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Determining g(10):

From the graph, it is clearly visible that at x = 10, the value of the function output y = 8.

In other words,

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Therefore, we conclude that:

  • g(10) = 8
5 0
2 years ago
This 7-digit number is 8,920,000 when rounded to the nearest ten thousand. the digits to the tens and hundreds places are the le
Aliun [14]
The 7-digit number we are looking for is 8,92a,bcd



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The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.



The 7-digit number we are looking for is 8,924,bcd



"The sum of all its digits is 24."

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Thus b+c+d = 1



The digits to the tens and hundreds places are the least and same value.

These two digits (b and c) must be 0, because b+c+d = 1

That means that the digit "d" must be equal to 1.



The 7-digit number we are looking for is 8,924,001



This number is the only number that satisfies all the conditions stated in the question.
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3 years ago
What is the radius of a circle given by equation x^2 + y^2 - 2x + 8y - 47 = 0
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X^2 + y^2 - 2x + 8y - 47 = 0
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7 0
2 years ago
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3 years ago
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