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denis23 [38]
4 years ago
15

You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you

Mathematics
1 answer:
agasfer [191]4 years ago
3 0
The probability is 0.7584.
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NO LINKS!! Please help me with this problem​
Vera_Pavlovna [14]

Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.

Now,

it's vertex is given, I.e (7 , -5)

so, length of semi transverse axis will be equal to distance of vertex from centre, i.e

  • a = 7 - 3 = 4 units

Now, it's focus can be represented as ;

\qquad \sf  \dashrightarrow \: (3 + ae,  - 5 )

so,

  • ae + 3 = 9

and we know, a = 4

\qquad \sf  \dashrightarrow \: 4e + 3 = 9

\qquad \sf  \dashrightarrow \: 4e = 6

\qquad \sf  \dashrightarrow \: e =  \cfrac{3}{2}

Now, let's find the measure of semi - conjugate axis (b)

\qquad \sf  \dashrightarrow \:  {b}^{2}  =  {a}^{2} ( {e}^{2}  - 1)

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{9}{4}  - 1)

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{9 - 4}{4}  )

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{5}{4}  )

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 20

\qquad \sf  \dashrightarrow \: b =   \sqrt{20}

So, it's time to write the equation of hyperbola, as we already have the values of a and b ~

\qquad \sf  \dashrightarrow \:  \cfrac{ {(x - h)}^{2} }{ {a}^{2} }  -  \cfrac{( {y  - k)}^{2} }{ {b}^{2} }  = 1

[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]

\qquad \sf  \dashrightarrow \:  \cfrac{ ({x-3)}^{2} }{ {16}^{} }  -  \dfrac{ {(y+5)}^{2} }{ { {20} }^{} }  = 1

6 0
2 years ago
Read 2 more answers
PART 2 - Arithmetie Reasoning Onestion The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24 each. To
BlackZzzverrR [31]

Answer:

The correct option is A) 13 to 3.

Step-by-step explanation:

Consider the provided information.

The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24 each. Today, only 2 puppies and 8 kittens were left.

6-2 = 4 puppies sale

12-8 = 4 kittens sale

The cost of each puppies is $104.

Cost of 4 puppies:

4×$104=$416

The cost of each kittens is $24.

Cost of 4 kittens :

4×$24=$96

The ratio of sales of puppies to kittens is:

\frac{416}{96}

\frac{13}{3}

Hence, the ration of sales of puppies to kittens is 13/3.

Thus, the correct option is A) 13 to 3.

3 0
3 years ago
A city has a population of 245,600 which is 110% of the population from the previous year. What was the population the previous
MrMuchimi
<h2>Answer:</h2><h2>The city population last year = 2233 approximately</h2>

Step-by-step explanation:

The current population of the city = 245,600

Rate of increase = 110 %

The population in previous year = ?

Let x be the population of previous year

x(110%) = 245600

x = \frac{245600}{110}

= 2232.7

The city population last year = 2233 approximately

4 0
3 years ago
I WILL MARK BRAINIEST <br> PLEASE HELP ASAP
Leni [432]

Answer:

1: 4:15

2: 4/15

Step-by-step explanation:

I think Im right. I hope this helps you out!

7 0
3 years ago
Read 2 more answers
HELP ASAP!!!!!
Sergeeva-Olga [200]
I hope this helps you

6 0
4 years ago
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