Mrs. Moore's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 8 are purple, 3 are yellow, 6 are green, and the rest are black, what is the probability of drawing 2 black if the marbles are not replaced after they are picked? Show answer as a percent rounded to nearest hundredth, if necessary.A. 8.96%
B. 10.24%
C. 9.33%

Answers

Answer 1

Answer: 8/25×7/24=0.09333×100=9.33%

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A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.

Answers

$area = length \cdot width \n \nA = 24 s^2 \n \n l=x+1 , \ \ w=4x-6 \n \n A=lw\n \n24 =(x+1)(4x-6)$

$24 =4x^2-6x+4x-6 \n \n4x^2-6x+4x-6 -24=0\n \n4x^2-2x-30=0 \ \ / :2\n \n2x^2-x-15=0 \n \na=2, \ b=-1 , c= -15$

$\Delta =b^2-4ac = (-1)^2 -4\cdot2\cdot (-15) = 1+120=121\n \nx_(1)=(-b-√(\Delta) )/(2a)=(1-√(121))/(2*2 )=( 1-11)/(4)=(-10)/(4)=- (5)/(2) \n \nx_(2)=(-b+√(\Delta) )/(2a)=(1+√(121))/(2*2 )=( 1+11)/(4)=(12)/(4)=3 \n \nUse \ positive \ value \ of \ x : \n \n x =3$

Can someone please help me fast