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katrin2010 [14]
3 years ago
12

Help me plz ASAP this would make by day

Mathematics
2 answers:
Kruka [31]3 years ago
7 0
Ich weis ist nicht das
mario62 [17]3 years ago
3 0

The distance between points a + bi and c + di is

\sqrt{(a - c)^2 + (b - d)^2}

Your points are -2 - 3i and 3 + 9i,

so a = -2, b = -3, c = 3, and d = 9.

\sqrt{(-2 - 3)^2 + (-3 - 9)^2} =

= \sqrt{(-5)^2 + (-12)^2}

= \sqrt{25 + 144}

= \sqrt{169}

= 13

Answer: 13


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3 0
3 years ago
(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cu
Sonbull [250]

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = 1 - \frac{1}{(x + 1)^3} ; x > \theta

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ 1 - \frac{1}{(x + 1)^3}  ] - [1 - \frac{1}{(x + 1)^3} ]

we substitute

= [ 1 - \frac{1}{(1.1 + 1)^3}  ] - [1 - \frac{1}{(0.9 + 1)^3} ]

= [ 1 - \frac{1}{(2.1)^3}  ] - [1 - \frac{1}{(1.9)^3} ]

= [ 1 - \frac{1}{(9.261)}  ] - [1 - \frac{1}{(6.859)} ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

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= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

5 0
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