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erastova [34]
3 years ago
5

To win a particular lottery game, it is necessary to match numbers on 5 balls that are randomly picked from 65 balls numbered 1-

65 and the number on a special black ball that is picked from 10 other balls numbered 0-9. What is the probability that a single lottery ticket will match 2 balls and the special black ball.
Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer: 5.34*10^{-5}

Step-by-step explanation:

given data:

number of balls = 65.

special black ball that is picked from 10 other balls = numbered 0-9.

<u><em>Solution:</em></u>

<em>probability that a single lottery ticket will match 2 balls and the special black ball.</em>

= 65C2*9C1\\\\= 18720\\\\=\frac{1}{18720} \\\\= 5.34*10^{-5}

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On a prepaid plan, phone company A charges $76.00 for 500 minutes, and phone
sweet [91]

Answer:

Company B

Step-by-step explanation:

A is $0.15/min

   because 76/500

B is $0.12/min

  because 54/450

Company B is cheaper so it would be the better deal

7 0
3 years ago
PLEASE! An item costs 410 before tax, and the sales tax is 32.80.
Norma-Jean [14]

Divide the amount of the tax by the cost of the item:

32.80 / 410 = 0.08

Multiply by 100:

0.08 x 100 = 8%

Answer: 8%

8 0
2 years ago
A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and
nasty-shy [4]

Answer:

correct option is C)  2.8

Step-by-step explanation:

given data

string vibrates form =  8 loops

in water loop formed =  10 loops

solution

we consider  mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = \rho

case (1)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

so here

l = \frac{8 \lambda _1}{2}      ..............1

l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}

and we know velocity is express as

velocity = frequency × wavelength   .....................2

\sqrt{\frac{Tension}{mass\ per\ unit \length }}   =   f × \lambda_1

here tension = mg

so

\sqrt{\frac{mg}{\mu}}   =   f × \lambda_1     ..........................3

and

case (2)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

l = \frac{10 \lambda _1}{2}      ..............4

l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}

when block is immersed

equilibrium  eq will be

Tenion + force of buoyancy = mg

T + v × \rho × g = mg

and

T = v × \rho - v × \rho × g    

from equation 2

f × \lambda_2 = f  × \frac{1}{5}  

\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}     .......................5

now we divide eq 5 by the eq 3

\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}

solve irt we get

1 - \frac{\rho _{stone}}{\rho _{water}}  = \frac{16}{25}

so

relative density \frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}

relative density = 2.78 ≈ 2.8

so correct option is C)  2.8

3 0
3 years ago
11) Which is an example of Associative Property of Addition ?
vlabodo [156]

Answer:

D. (3 + 4) + 9 = 3 + (4 +9)  represents the Associative Property of Addition.

Step-by-step explanation:

Associative Property of Addition states that for any groups of numbers, the order of addition does not matter.

or, for any numbers A, B and C

A + ( B +C)  = (A +B) + C

Here, D. (3 + 4) + 9 = 3 + (4 +9)  represents the Associative Property of Addition.

4 0
3 years ago
An item costs $4 before tax and $4.32 after sales tax. What is the sales tax rate?​
just olya [345]

its 0.08 cents per dollar

3 0
3 years ago
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