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vfiekz [6]
3 years ago
12

Greatest to least: 17/20, 19/20, 0.19, 0.24

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0
19/20,17/20,0.24,0.19
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Answer:

x° = 11°

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Step-by-step explanation:

<em>I</em><em>f</em><em> </em><em>GH</em><em> </em><em>bisects</em><em> </em><em>Z </em><em>FGI</em>

<em>then</em><em> </em><em>Z </em><em>FGH </em><em>=</em><em> </em><em>Z </em><em>H</em><em>GI</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or,</em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em><em>)</em><em>°</em><em> </em><em>=</em><em> </em><em>(</em><em>4</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>4</em><em>)</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or,</em><em> </em><em>3</em><em>x</em><em>°</em><em> </em><em>-</em><em> </em><em> </em><em>4</em><em>x</em><em>°</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>4</em><em>°</em><em> </em><em>+</em><em> </em><em>3</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or,</em><em> </em><em>x°</em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>°</em>

<em>Z </em><em>FGI </em><em>=</em><em> </em><em>3</em><em>3</em><em>°</em><em> </em><em>-</em><em> </em><em>3</em><em>°</em><em> </em><em>+</em><em> </em><em>4</em><em>4</em><em>°</em><em> </em><em>-</em><em> </em><em>1</em><em>4</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em> </em><em>6</em><em>0</em><em>°</em>

3 0
2 years ago
A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with
tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N(\mu = 12.56, \sigma^{2} = 6.7^{2})

The z score probability distribution is given by;

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

where, \mu = mean time = 12.56 hours

           \sigma = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

    P(X < 15) = P( \frac{X-\mu}{\sigma} < \frac{15-12.56}{6.7} ) = P(Z < 0.36) = 0.64058

    P(X \leq 12) = P( \frac{X-\mu}{\sigma} \leq \frac{12-12.56}{6.7} ) = P(Z \leq -0.08) = 1 - P(Z < 0.08)

                                                     = 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.                                                 

7 0
3 years ago
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