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3 years ago

The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?

Mathematics

1 answer:

Shtirlitz [24]3 years ago

4 0

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = $\frac{total}{count}$

Thus for the given 10 numbers we have

$\frac{total}{10}$ = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

$\frac{total+x}{11}$ = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

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Suppose customers in a certain queue are served one at a time sequentially, that the time for each individual customer is Expone

alexandr402 [8]

Answer:

The shape and rate parameters are $\frac{1}{12}$ and $3$ .

Step-by-step explanation:

Let X = service time for each individual.

The average service time is, β = 12 minutes.

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The service time for the next 3 customers is,

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All the X $_{i}$ 's are independent Exponential random variable.

The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.

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2 years ago

Quando existe, dizemos que a solução de um sistema de equações lineares é o conjunto ordenado de números que satisfaz todas as e

QveST [7]

X representa o numero das suas respostas certas.
y represnta o numero das suas respostas erradas.
O total de perguntas é 25, portanto
x + y = 25

Agora tratamos do dinheiro.
Começa com R$ 500,00
Pelas x respostas certas, recebe 200x.
Pelas y respostas errads perde 150y.
O total de dineheiro inicial mais os ganhos menos as perdas são iguais a
R$ 600,00, portanto
500 + 200x - 150y = 600
200x - 150y = 100
20x - 15y = 10

Temos um sistema de duas equações com duas variaveis.

x + y = 25
20x - 15y = 10

15x + 15y = 375
+ 20x - 15y = 10
---------------------------
 35x = 385
 x = 11

x + y = 25

11 + y = 25

y = 14

Resposta: Errou 14 perguntas.

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3 years ago

162.75 is 35% of what number? (A) 465 (B) 4.65 (C) 46.5 (D) 0.465

docker41 [41]

It's A because of 162.75/.35

8 0

3 years ago

Read 2 more answers

Write the domain & range of the function using interval notation.

fgiga [73]

Option A will be the correct answer

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