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3 years ago

6

A box contains 10 red balls and 20 yellow balls. Find the probability of choosing 3 balls that are all red, without replacement.

1 answer:

strojnjashka [21]3 years ago

7 0

Answer:

85

Step-by-step explanation:

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Help center of circle

Lelu [443]

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

${x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3$

7 0

4 years ago

The admissions office of a private university released the following admission data for the preceding academic year: From a pool

lina2011 [118]

Answer: Our required probability is 0.1695.

Step-by-step explanation:

Since we have given that

Number of male applicants = 4200

Number of female applicants = 3800

So, total number of applicants = 4200+3800 = 8000

Probability of male entered and subsequently enrolled is given by

$0.4\times 0.4=0.16$

Probability of female entered and subsequently enrolled is given by

$0.4\times 0.45\\\\=0.18$

Number of male entered and subsequently enrolled is given by

$0.16\times 4200\\\\=672$

Number of female entered and subsequently enrolled is given by

$0.18\times 3800\\\\=684$

So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by

$\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695$

Hence, our required probability is 0.1695.

3 0

3 years ago

Zina [86]

Answer:

s = rθ
2.5 radians
143.24°

Step-by-step explanation:

The applicable formula is ...

s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

15 = 6θ

θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

2.5(180°/π) ≈ 143.24°

4 0

3 years ago

Skylar is driving on a long road trip. She currently has 9 gallons of gas in her car.

ss7ja [257]

Answer:

4 gallons of gas will be left after driving 5 hours.

How much gas would be left after t hours: 9 - t

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Rx+2x=4r+3<br> Solving for X

malfutka [58]

Answer:

x = (4r +3)/(r +2)

Step-by-step explanation:

Collect x terms, then divide by the coefficient of x.

x(r +2) = 4r +3

x = (4r +3)/(r +2)

6 0

3 years ago