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Reptile [31]
3 years ago
10

If a data set has mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

Z-score is 4

Step-by-step explanation:

N(150, 25^2)

Use z-score formula (can be found from internet with miu and sigma symbol)

z =  \frac{250 - 150}{25}  \\ z = \frac{100}{25}  \\ z = 4

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Gnesinka [82]

Answer:

3

Step-by-step explanation:

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6 0
4 years ago
Let f be a function defined for t ≥ 0. Then the integral ℒ{f(t)} = [infinity] e−stf(t) dt 0 is said to be the Laplace transform
sveticcg [70]

Answer:

L(f(t)) = 2 \frac{e^{-s} }{s} - \frac{1}{s}

Step-by-step explanation:

let f be a function defined for t ≥ 0

we can write the function f(t) in terms of unit function as follows

f(t) = 2 u,(t) - 1  where

      0≤ t < 1

f(t) = (2 * 0) -1 = -1

when t ≥ 1

f(t) = (2*1 )- 1 = 1

Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1)  --------equation 1

this is because L(u,(t)) = \frac{e^{-cs} }{s}

c = 1 hence L(1) = 1/s

back to equation 1

L(f(t)) = 2 \frac{e^{-cs} }{s} -  1/s  laplace transform

also L(u(t) ) = \frac{e^{-s} }{s}

3 0
3 years ago
2x + 3 = 5x - 2
Daniel [21]

Answer:

x3r9

Step-by-step explanation:

5 0
3 years ago
Find the exact length of the third side
Arada [10]

Answer:

24

Step-by-step explanation:

Using Pythagoras theorem,

a^2 = b^2 + c^2

40^2 = 32^2 + c^2

1600 = 1024 + c^2

1600 - 1024 = c^2

576 = c^2

square root of 576 = c

24 = c

7 0
4 years ago
What value of b will cause the system to have an infinite number of solutions? y=6x+b -3x+1/2v=-3
Natasha_Volkova [10]

9514 1404 393

Answer:

  -6

Step-by-step explanation:

Multiply the second equation by 2 and add 6x. You get ...

  -6x +y = -6

  y = 6x -6

This is the same as the first equation when b = -6. That is what you want if you want infinite solutions.

5 0
3 years ago
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