3 years ago

What’s the value for x? please help

Mathematics

1 answer:

Mila [183]3 years ago

5 0

Look at the attached picture

Hope it will help you....

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Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an ins

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Answer: 17.89

Step-by-step explanation:

In binomial distribution, the standard deviation is given by :-

$\sigma=\sqrt{np(1-p)}$

As per given , we have

The number of vouchers in the sample with errors is denoted by x.

p= 0.20 , n = 2000

Then , $\sigma=\sqrt{2000\times(0.2)(1-0.2)}$

$\sigma=\sqrt{320}=17.88854382\approx17.89$

Hence, the standard deviation of x is 17.89.

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3 years ago

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Show all work and provide necessary descriptions

masya89 [10]

Let

$P=(P_x,P_y),\quad Q=(Q_x,Q_y)$

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

$M=\left(\dfrac{P_x+Q_x}{2},\ \dfrac{P_y+Q_y}{2}\right)$

We can solve this expression for the coordinates of Q:

$M_x = \dfrac{P_x+Q_x}{2} \implies Q_x = 2M_x-P_x$

$M_y = \dfrac{P_y+Q_y}{2} \implies Q_y = 2M_y-P_y$

Plug in the values for the coordinates of M and P to get

$Q_x = 2M_x-P_x = 2\cdot 5-11 = 10-11=-1$

$Q_y = 2M_y-P_y = 2\cdot (-2) - (-10) = -4+10=6$

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3 years ago