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lara31 [8.8K]
3 years ago
7

Y=-x+5 Y=x+1 Solve the system

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

y =  - x + 5 \\ y = x + 1 \\   - x + 5 = x + 1 \\  - 2x =  - 4  \\ x = 2 \\ y = 2 + 1 = 3 \\ y = 3

Therefore the answer is:

x=2; y=3

Good luck!

Intelligent Muslim,

From Uzbekistan.

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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

(c) Average time in minutes before service

= 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

5 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=4 and BC=3, Find AH, CH and BH.
IRISSAK [1]

Answer:

  • AH = 3.2
  • CH = 1.8
  • BH = 2.4

Step-by-step explanation:  

It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...

   AC^2 = AB^2 + CB^2

   AC^2 = 4^2 + 3^2 = 16 + 9 = 25

   AC = √25 = 5  

The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...

  scale factor ∆ABC to ∆AHB = AB/AC = 4/5 = 0.8  

And the scale factor to ∆BHC is ...  

  scale factor ∆ABC to ∆BHC = BC/AC = 3/5 = 0.6  

Then the side AH is 0.8·AB = 0.8·4 = 3.2

And the side CH is 0.6·BC = 0.6·3 = 1.8  

These two side lengths should add to the length AC = 5, and they do.  

The remaining side BH can be found from either scale factor:    

  BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4

_____  

The sides of interest are ...  

  AH = 3.2

  CH = 1.8

  BH = 2.4

3 0
3 years ago
Fernando makes 1/6 cup of apple juice with 1/3 cup of grape juice which shows a correct comparison of these two fractions
Alenkasestr [34]
I think that it would be C, but I am debating on C and D. I'm pretty confident that it's C, though. Pretty sure.
3 0
2 years ago
Luis is packing his bags for his vacation he has 9 unique toy animals but only 5 fit in his bag how many different groups of 5 t
Eva8 [605]

Answer:

126 groups

Step-by-step explanation:

we know that

This is a combination problem, because the order doesn't matter.  He has 9 toys and wants to know the number of different combinations of 5 he can take.

The formula for the number of possible combinations of r objects from a set of n objects is given by

^nC_r=\frac{ {n!}}{r!(n-r)!}

In this problem we have

n=9, r=5

substitute

^9C_5=\frac{ {9!}}{5!(9-5)!}

^9C_5=\frac{ {9!}}{5!(4)!}

^9C_5=\frac{ {(9)(8)(7)(6)5!}}{5!(4)!}

^9C_5=\frac{ {9)(8)(7)(6)}}{(4*3*2*1)}

^9C_5=126

7 0
3 years ago
Helllpppp i’ll give brainliest
forsale [732]

Answer:

The two triangles are related by A - S - A test of similarity , so the triangles are congruent.

3 0
3 years ago
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