To determine the probability that exactly two of the five marbles are blue, we will use the rule of multiplication.
Let event A = the event that the first marble drawn is blue; and let B = the event that the second marble drawn is blue.
To start, it is given that there are 50 marbles, 20 of them are blue. Therefore, P(A) = 20/50
After the first selection, there are 49 marbles left, 19 of them are blue. Therefore, P(A|B) = 19/49
Based on the rule of multiplication:P(A ∩ B) = P(A)*P(A|B)P(A ∩ B) = (20/50) (19/49)P(A ∩ B) = 380/2450P(A ∩ B) = 38/245 or 15.51%
The probability that there will be two blue marbles among the five drawn marbles is 38/245 or 15.51%
We got the 15.51% by dividing 38 by 245. The quotient will be 0.1551. We then multiplied it by 100% resulting to 15.51%
Answer:
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Step-by-step explanation:
The answer is c because of the reasoning it gives
Answer:
x=−5+√29 or x=−5−√29
Step
Let's solve your equation step-by-step.
x2+10x+10=14
Step 1: Subtract 14 from both sides.
x2+10x+10−14=14−14
x2+10x−4=0
For this equation: a=1, b=10, c=-4
1x2+10x+−4=0
Step 2: Use quadratic formula with a=1, b=10, c=-4.
x=
−b±√b2−4ac
2a
x=
−(10)±√(10)2−4(1)(−4)
2(1)
x=
−10±√116
2
x=−5+√29 or x=−5−√29
Step-by-step explanation:
1)
2 1/10 + 3/100 = 200/100 + 10/100 + 3/100 = 213/100 =
= 2 13/100
2)
2 1/10 + 5 3/100 = 200/100 + 10/100 + 500/100 + 3/100 =
= 713/100 = 7 13/100
3)
2.1 + 00.3 = 2.4
or did you mean + 100.3 ? then is is 102.4
4)
24/100 + 7/10 = 24/100 + 70/100 = 94/100 = 47/50
5)
3 24/100 + 8 7/10 =
= 300/100 + 24/100 + 800/100 + 70/100 =
= 1194/100 = 11 94/100 = 11 47/50