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algol13
3 years ago
7

Suppose that there are 11 employees in an office. The boss needs to select 5 of the employees to

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

462ways

Step-by-step explanation:

This Is a combination problem, we we are expected to determine the number of possible ways of selecting the numbers of staffs for a business trip

C(n, r) were n= 11

r=5

C(n, r) = n!/(n-r)! r!

C(n, r) = 11!/(11-5)! 5!

C(n, r) = 11!/(6)! 5!

C(n, r) = 11*10*9*8*7*6!/(6)! 5*4*3*2*1

C(n, r) = 11*10*9*8*7/5*4*3*2*1

C(n, r) = 55440/120

C(n, r) = 462

The number of possible ways is 462

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Express 0.029646 correct to three decimal places​
jonny [76]

Answer:

0.030

Step-by-step explanation:

=> 0.029646

To three dps that there should be only 3 decimals places after rounding off.

So, it becomes

=> 0.030 (Because the digit in ten thousandths place was greater than 5)

7 0
2 years ago
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You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into small
Lady_Fox [76]
ANSWER: 13




I just added and the dividend lol
4 0
2 years ago
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3x/2y=11 x+y/2=7 igualacion<br> Alguien me puede ayudar
bearhunter [10]

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

<h3>¿Cómo resolver un sistema de ecuaciones linear por igualación?</h3>

Los sistemas de ecuaciones basadas en entidades algebraicas se resuelven mediante procedimientos algebraicos. Grosso modo, el método de resolución por igualación consiste en despejar una variable en dos ecuaciones del sistema para eliminarla y reducir el número de ecuaciones <em>lineales</em> y el número de variables.

A continuación, presentamos una aplicación del método de eliminación:

\frac{3\cdot x}{2\cdot y} = 11

x = \frac{22\cdot y}{3}

x + \frac{y}{2} = 7

x = 7 - \frac{y}{2}

\frac{22\cdot y}{3} = 7 - \frac{y}{2}

\frac{47\cdot y}{6} = 7

y = 42/47

x = 7 - \frac{y}{2}

x = 308/47

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

Para aprender más sobre los sistemas de ecuaciones: brainly.com/question/15811265

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3 0
1 year ago
Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
sattari [20]

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

8 0
3 years ago
.
oksian1 [2.3K]

Answer:

t= 6\ s

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is h(t) = -16t ^ 2 + 80t + 96.

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be h(t) = 0.

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

-16t ^ 2 + 80t + 96 = 0

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

at^2 +bt +c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a =-16\\b = 80\\c =96

Then

t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}

t_1=-1\\\\t_2=6

We take the positive solution

t= 6\ s

7 0
3 years ago
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