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SOVA2 [1]
3 years ago
11

A bag contains 3 red marbles and 8 blue marbles. A marble is drawn from the bag, the color recorded, then the marble is put back

into the bag. This process is repeated ten times, and we are interested in the number of blue marbles drawn. What would be the probability of success in this experiment
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

0.0414

Step-by-step explanation:

Total number of marbles= 8+3= 11

8 blue and 3 red

Marbles are picked with replacement until 10 marbles are selected.

Probability of number of blue marbles choosen in 10 pick with replacement out of 11 marbles= ((8C1/11C1))^10

=(8/11)^10

=0.72723^10

= 0.0414

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Todd has twice as many songs in his playlist as Vlad. Becca has three times as many songs in her playlist as Todd. If all three
nikitadnepr [17]

Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

3 0
3 years ago
(the stake is 14ft)
Kaylis [27]

Answer:

it‘s about

32.08 ft (if its not an answer choice try 32 or anywhere near that number)

Step-by-step explanation:

SO this is a simple example of triangles

We would need to find the heigh of the flagpole which is the leg of the triangle

The other side (14ft) is the 2nd leg of the triangle

And we know the hypotenuse is 35 ft

So we put that in Pythagorean Theroux and solve for the first missing leg

a^2+14^2=35^2

a^2+196=1225

a^2=1029

√1029 is about 32.08

So its about 32.08

5 0
3 years ago
Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x.
SCORPION-xisa [38]

Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.

And the expressions for each arc in the diagram also given as:

Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.

Hence, we will get the system of equations as following:

Arc QR = Arc LN

2x - y = 11 ...(1)

Arc OP = Arc VW

5x + y = 10 ...(2)

We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,

2x+5x = 11 + 10

7x = 21

\frac{7x}{7} =\frac{21}{7} Divide each sides by 7.

So, x= 3

6 0
3 years ago
The area of the parallelogram is 273 square units. What is the height of the parallelogram? ____units
Alex17521 [72]

Answer:

h = 13 units²

Step-by-step explanation:

The way to find the area of a parallelogram is to multiply the length of one side (21) and multiply it by the height:

A = l*h

We know the area and the length:

273 = 21*h

Now we solve for height.

273/21 = (21*h)/21

273/21 = h

273/21 = 13

h = 13 units²

6 0
3 years ago
12/39 in simplest form is 4/13 what are two ways to get there
arlik [135]
Divide 3 on the numerator and denominator.

Hoped this helped.

~Bob Ross®
7 0
3 years ago
Read 2 more answers
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