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igor_vitrenko [27]
2 years ago
12

Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.

Mathematics
1 answer:
Vitek1552 [10]2 years ago
3 0

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = \frac{Σ(xi - μ)^{2} }{N}

\frac{(21 - 25)2 + ... + (29 - 25)2}{5}

⇒ \frac{38}{5}

⇒ 7.6

σ =  \sqrt{7.6}

⇒   2.756809750418

⇒ or 2.76

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Gekata [30.6K]
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7 0
3 years ago
Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
Elis [28]

ANSWER

-  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

|v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ 216.5}  =  \frac{ \sqrt{866} }{2}

The unit vector in the direction of this vector is

=  \frac{v}{ |v| }

= -   \frac{14.5}{ \frac{ \sqrt{866} }{2} } i +    \frac{2.5}{ \frac{ \sqrt{866} }{2} } j

=  -  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

7 0
3 years ago
A bag contains a mixture of identical coloured balls.
Amiraneli [1.4K]

Answer:

72 yellow balls

Step-by-step explanation:

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3 years ago
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