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MaRussiya [10]
3 years ago
14

Calculate the slope between the points: (4, -9) and (5, 1)

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Answer:

The answer is A- m=10

Step-by-step explanation:

The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4  = 1. 10 over 1, or 10 / 1, equals 10.

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The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
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Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

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Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

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3 years ago
Simplify [-2.8]   please help me how to simplify this math proplem??????&lt;br /&gt;&lt;br /&gt;
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In fraction form the answer would be -2 4/5.
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210,064,050 is the correct answer
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