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3 years ago

Which of following not a way to represent the solution of inequality 5(x + 2) GREATER THAN OR EQUAL TO 7x + 2(x − 1)?

Mathematics

2 answers:

mixer [17]3 years ago

6 0

So because it says NOT a way....I think it's A...Maybe I'm wrong but whatever.

UkoKoshka [18]3 years ago

3 0

Answer:

A number line with a closed circle on 3 and shading to the left

Step-by-step explanation:

Equation : $5(x+2)\geq (7x+2(x-1)$

$5x+10 \geq 7x+2x-2$

$12 \geq 4x$

Divide by 4 both sides

$3 \geq x$

So, $x\leq 3$

So, Therefore, the solution set is:

(-∞, 3]

So, A number line with a closed circle on 3 and shading to the left

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2 years ago

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3 years ago

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with

NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

$\frac{7}{8} = 0.875$

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

$= \frac{7}{8 - 7}$

= 7

= λ/[μ(μ - λ)]

$= \frac{7}{8(8 - 7)}$

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

$= \frac{1}{(8 - 7)}$

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

${7}{8}$

= 0.875

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3 years ago

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Readme [11.4K]

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3 years ago

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