Find the last year salary if, after a 4% pay raise , this year salary is $ 36,920

El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos en

crimeas [40]

Answer:

La probabilidad de encontrar como mucho un huevo roto es 0,8857.

Step-by-step explanation:

Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:

$P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x}$

En donde:

p: es la probablidad de encontrar huevos rotos = 10% = 0,1

x: es el número de éxitos

n: es el número de ensayos = 6 (media docena de huevos)

Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:

$P = P(0) + P(1)$

$P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857$

Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.

Espero que te sea de utilidad!

5 0

3 years ago

Write the equation of the line that has the slope m=2/5 and passes through the point (25,−9). Write the equation in slope-in

klemol [59]

You're given the slope of the line and a point thru which the line passes. So it makes sense to use the point-slope form of the equation of a straight line: if the point is (a,b) and the slope is m, then

y-b=m(x-a). You'd then solve this for y to obtain the equation in slope-intercept form.

On the other hand, if you're asked to write the equation in slope-intercept form, starting with the general form of this equation may be faster: y=mx+b.

Substitute the given values for x and y (which are 25 and -9) and m (which is (2/5). Solve the resulting equation for b (the y-intercept).

Then write the finished equation: y=( ? )x + b, where b is the y-intercept you've just found.

8 0

4 years ago

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a

Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0 (1)

f'(1) = 0 leads 3a + 2b + c = 0 (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3 (3)

f(1) = 0 leads a + b + c + d = 0 (4)

(1) - (2): 24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4) -28a + 8b - 4c = 3 (5)

(1) * 4 + (5): 80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

So

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0

2 years ago

How do you solve this? Need help please

nirvana33 [79]

Answer:

2x^2/3yz^7

Step-by-step explanation:

6 0

3 years ago

Which sequence is modeled by the graph below?

shepuryov [24]

Answer:6

Step-by-step explanation:Which sequence is modeled by the graph below?

10

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5

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3

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• (3, 2)

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(2, 1)

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empl

4

5

6 7

8 9 10

5 0

3 years ago