Item 9

In a homicide case 6 different witnesses picked the same man from a line up. The line-up contained 5 men. If the identifications

Vedmedyk [2.9K]

Answer:

since we have 6 witnesses and 5 men so,

therefore the probability that they would pick the same man is $\frac{5}{6} =0.83333$ to 5 decimal places

Step-by-step explanation:

probability is the likelihood of an event occurring or not happening.

6 0

3 years ago

Shoe sizes for men in the United States are known to follow a normal distribution. If you calculated the z-score of a man's shoe

anastassius [24]

Answer:

This value means that his shoe size is 2.9 deviations above the population mean.

And we can find the approximate percentile for his measure like this:

$P(Z$

This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the shoe size of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ represent the mean and $\sigma$ the population standard deviation.

For this case we know that a man obtain a z score of z=2.9

This value means that his shoe size is 2.9 deviations above the population mean.

And we can find the approximate percentile for his measure like this:

$P(Z$

This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.

3 0

3 years ago

Please help I will mark brainlist if correct

love history [14]

--------------------------------------------------------------------------
Equation
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$y - 9 = - \dfrac{1}{2} (x + 2)$

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Rearrange the equation
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$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

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slope of the perpendicular line
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slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

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Substitute slope into equation y = mx + c
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y = 2x + c

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Find y-intercept
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y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

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Substitute y-intercept into the equation y = 2x + c
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y = 2x + 4

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Answer: y = 2x + 4
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3 0

3 years ago

Of the 9 people attending a lecture, 3 have green eyes.

nadya68 [22]

The probability is 1/3

4 0

2 years ago

Paula walked on the treadmill for 12 minutes. The machine told her she had a total of 780 strides. What was her rate in strides

Cerrena [4.2K]

Answer:780/12=65

Step-by-step explanation:

7 0

3 years ago