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ASHA 777 [7]
3 years ago
7

A bag contains six real diamonds and five fake diamonds. If six diamonds are picked from the bag at random what is the probabili

ty that at most four of them are real?
Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

((6 choose 4) * (5 choose 2) + (6 choose 5) * (5 choose 1) + (6 choose 6) * (5 choose 0)) / (11 choose 6) = 181/462 = 0.3918

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a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient
mixer [17]

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Data;

  • Width of molecule = 3*10^-6 cm
  • Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Learn more on scientific notation here;

brainly.com/question/5756316

brainly.com/question/1712028

7 0
2 years ago
What is 0.1554 divided by 74?
umka2103 [35]

Answer:

0.0021

Step-by-step explanation:

5 0
3 years ago
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Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num
Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0
3 years ago
Write an equation in point-slope form of the line that has a slope of 10 and passes through (6,2).
natima [27]
Y - 6 = 10(x - 2) hope this helps :)
8 0
3 years ago
es 12.5 the intercepts and domain, and perform the symmetry test on each of the following ellipses: 6x2 + 25y2 = 400 2 + 472 = 4
Anastaziya [24]

Answer:

the question is cutoff. please rewrite the question. please write exponents as 6x^2.

6 0
2 years ago
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