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3 years ago

The lengths of two sides of

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

Step-by-step explanation:

For a triangle to be formed the length of any one of the sides must be less than the sum of the other 2.

So A can be a triangle as 6 is less than 6+4.

It is D because 6 = 4 + 2.

madam [21]3 years ago

6 0

Answer: D) 2

<u>Step-by-step explanation:</u>

The sum of two sides of a triangle must be greater than the third side

Let x represent the unknown side

Then 4 + 6 > x → x < 10

and 4 + x > 6 → x > 2

Therefore; 2 < x < 10

A) 6 is between 2 and 10

C) 3 is between 2 and 10

B) 4 is between 2 and 10

D) 2 is NOT between 2 and 10

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kondor19780726 [428]

X/4 = -5 + 6
x/4 = 1
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2 years ago

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What is 3 over 5 + 1 over 9

koban [17]

Answer:

2/5

Step-by-step explanation:

3/5 + 1/9

= 12+6/45

= 18/45 which is 2/5

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2 years ago

A bird flies 1 mile north, then 1 mile east. how far is it from where it started?

andrew-mc [135]

1 mile.
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2 years ago

Find the sum 49+50+51+52+...+141+142

gayaneshka [121]

Answer:

8977

Step-by-step explanation:

Hello,

$49+50+51+52+...+141+142\\\\=(48+1)+(48+2)+(48+3)+(48+4)+...+(48+93)+(48+94)\\\\=48\times 94+(1+2+3+4+...+93+94)\\\\=48\times 94 + \dfrac{94\times 95}{2}\\\\=47(48\times 2+95)=47\times 191=8977$

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2 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

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2 years ago