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tatiyna
2 years ago
11

Find the length of the segment indicated. A. 16.4 B. 11.4 C. 12.1 D. 13.3

Mathematics
1 answer:
kykrilka [37]2 years ago
4 0

using Pythagorean triplet

\\ \sf\longmapsto P^2=H^2-B^2

\\ \sf\longmapsto x^2=19.6^2-15.4^2

\\ \sf\longmapsto x^2=384.16-237.16

\\ \sf\longmapsto x^2=147

\\ \sf\longmapsto x=\sqrt{147}

\\ \sf\longmapsto x=12.1

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7 0
3 years ago
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

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>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

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.

4 0
3 years ago
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telo118 [61]

Answer:

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Step-by-step explanation:

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24/8=3


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