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cestrela7 [59]
3 years ago
8

A bag has five red marbles, six blue marbles, and four black marbles. What is the probability of picking a blue marble, replacin

g it, and then picking a black marble?
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0
5+6+4=15
blue marble = 6 out of 15
replacing blue marble for black = 4 out of 14
Nezavi [6.7K]3 years ago
6 0
P(blue) = 6/15
P(black) = 4/15
P(blue\ then\ black)=\frac{6}{15}\times\frac{4}{15}=\frac{8}{75}
The required value of probability is 8/75.
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Pavel [41]

Answer:

G=\frac{Fr^2}{m_1m_2}

Step-by-step explanation:

Since our equation is F=\frac{Gm_1m_2}{r^2} and we want to solve for G, first we divide both sides by the product m_1m_2, which gives:

\frac{F}{m_1m_2}=\frac{Gm_1m_2}{m_1m_2r^2}=\frac{G}{r^2}

So we are left with:

\frac{F}{m_1m_2}=\frac{G}{r^2}

Now we multiply both sides by r^2, which gives:

\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G

Which gives us our final formula:

G=\frac{Fr^2}{m_1m_2}

6 0
3 years ago
The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h
bezimeni [28]

Answer:


Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

t_{m}= time taken by motorcycle to travel distance between them

v_{m} = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

t_{m}= d/v_{m}

t_{m}=540/48

t_{m}= 11.25 h



t_{c}= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

v_{m} = speed of the motorcycle

speed of motorcycle is given as

v_{m} = d/t_{m}

v_{m} = 540/9

v_{m} = 60 mph


when the car and motorcycle move towards each other, the relative speed is given as

v = v_{m} + v_{c}

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

7 0
3 years ago
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According to these numbers, in 2010 the federal debt per capita was $43,888.75. Hope this helps!
6 0
3 years ago
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GCF of 3y^2- 21y+ 36
stira [4]

Answer:

3

Step-by-step explanation:

Find the GCF for the numerical part : 3, -21 , 36

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Multiply the values together

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3 years ago
Rewrite sin 225 degrees in terms of its reference angle. You do not need to evaluate sin 225.
ahrayia [7]

Answer:

225°: 45° (π / 4)

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