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3 years ago

Multiply out (x-2y)z-2x(x+z)

Mathematics

2 answers:

VladimirAG [237]3 years ago

8 0

Answer:

-xz - 2x²- 2yz

Step-by-step explanation:

Multiply out (x-2y)z-2x(x+z)

(x - 2y)z - 2x( x + z)

Rearrange

z(x - 2y) - 2x(x + z)

Open bracket by multiplying by letters outside bracket

xz - 2yz - 2x² - 2xz

Collect like terms

xz -2xz - 2x² - 2yz

-xz - 2x² - 2yz

I hope this was helpful, Please mark as brainliest.

katrin [286]3 years ago

5 0

I believe this is what it comes too when Multiplied

− 2 yz − x z − 2 $x^{2} \\$

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a baker makes 84loaves of bread but she burns 4 of them what fraction of the loaves does the baker burn? 1/88, 1/80,1/21,1/20 ..

Aleks [24]

Here is the answer to the given question above.
Given that the baker makes 84 loaves of bread, and out of the 84, she burns 4 of them. So in fraction it will be expressed in 4/84. So to know the final answer, we will simplify this fraction and we get 1/21. So the answer would be the third option. Hope this answer helps.

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3 years ago

2. A spike train, commonly used to study neural activity, is a sequence of recorded times at which a neuron fires an action pote

nika2105 [10]

Answer:

a) X ~ exp ( 10 )

b) E(X) = 0.1 , Var (X) = 0.01

c) P ( X < 0.07 ) = 0.00698

Step-by-step explanation:

Solution:-

- The spike train, used to study neural activity, the given time in between consecutive spikes (ISI) where the firing rate = 10 neurons per seconds.

- Denote a random variable "X"represent a single interspike interval (ISI) having an exponential distribution.

- Where X follows exponential distribution defined by event rate parameter i.e λ.

X ~ Exp ( λ )

- The event rate (λ) is the number of times an event occurs per unit time. Since we are studying a single interspike interval (ISI) - which corresponds to the firing rate. So, event rate (λ) = firing rate = 10 neurons per second. Hence, the distribution is:

X ~ Exp ( 10 )

- The expected value E(X) denotes the amount of time in which a single an event occurs; hence, the time taken for a single neuron.

E(X) = 1 / λ

E(X) = 1 / 10

E(X) = 0.1 s per neuron.

- The variance is the variation in the time taken by a single neuron to be emitted. It is defined as:

Var (X) = 1 / λ^2

Var (X) = 1 / 10^2

Var (X) = 0.01 s^2

- The probability that ISI is less than t = 0.07 seconds: P ( X < t = 0.07 s):

- The cumulative distribution function for exponential variate "X" is:

P ( X < t ) = 1 - e^(-λ*t)

- Plug the values and the determine:

P ( X < 0.07 ) = 1 - e^(-0.1*0.07)

= 1 - 0.99302

= 0.00698

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3 years ago

Find the absolute value of each rational number -2/3

Brums [2.3K]

Answer:

Step-by-step explanation:

Any value <0 that has the absolute value taken of it, becomes positive. Any positive number stays positive when the absolute value taken of it.

abs(-2/3) = 2/3

abs(4) = 4

3 0

3 years ago

Al sumar un número entero con el doble de su sucesor, se obtiene un total de 44. ¿De qué número se está hablando?

Vlad [161]

Basado en lo que nos dieron en la pregunta podemos decir que:
1) x sea un numero entero
2)x+1 sea el numero sucesor del anterior
3) los dos seran sumados y el total de la suma es 44
4) el numero sucesor es multiplicado por dos antes de ser sumado con el numero entero

Entonces tenemos:
$x+2(x+1)=44 \\ x+2x+2=44 \\ 3x=42 \\ x=14$

En este caso el numero del cual se esta hablando es 14 para comprobar

$14+2(14+1)=44 \\ 14+2(15)=44 \\ 44=44$

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Leviafan [203]

Preserved the size because 12inchs is = to 1 ft.

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3 years ago

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