12.03.2020

16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest are pink. Abby takes out two pink marbles without replacing them. What is the

probability that the next marble he draws will be blue?

A. 10/21

B. 4/21

C. 2/7

D. 6/23

. 0

Step-by-step answer

24.06.2023, solved by verified expert
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C. 2/7

Step-by-step explanation:

When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:

Probability of Next Marble to be blue

= Blue Marble / Total Marbles in the bag

= 6 / 21

= 2 / 7

Hence, the correct option is C. 2/7

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Mathematics
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C. 2/7

Step-by-step explanation:

When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:

Probability of Next Marble to be blue

= Blue Marble / Total Marbles in the bag

= 6 / 21

= 2 / 7

Hence, the correct option is C. 2/7

Mathematics
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P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
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For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
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P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
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P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
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P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
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P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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