Based on quantitative reasoning, Alden should take the classes from Dr. Baeno in his next semester.
Quantitative Reasoning Behind Choosing Dr. Baeno
Alden talked to 17 friends that previously took course from Dr. Alvarez.
Eight out of 17 friends recommended Dr. Alvarez.
∴ The fraction of his friends in favor of Dr. Alvarez = 8/17
Also, Alden talked to 18 friends who took course from Dr. Baeno.
Eleven out of 18 friends recommended Dr. Baeno.
∴ The fraction of his friends in favor of Dr. Baeno = 11/18
Making Comparison
Now, since we know that,
11/18 > 8/17
The capacity for using knowledge and mathematics to address problems in the real world is known as quantitative reasoning.
Hence, applying quantitative reasoning, we can infer that it is more favorable for Alden to take classes from Dr. Baeno.
Learn more about quantitative reasoning here:
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Given
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)
Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2
r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)
=>
r^2=(sqrt(25))^2=25
Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25 ............... standard equation of circle
Of the isometries, translation is your best tool. The orientation is already correct so rotation is unnecessary, as is reflection.
Answer:
Jean poured 4/15 of the contents of the water out which is the equivalent of 267 milliliters (assuming the size of the tank is 1 liter)
Step-by-step explanation:
Let's assume the Tank size is 1 liter
Jean filled the tank 2/3 full
2/3 = 0.667
Jean reduced the water level to 2/5 full
2/5 = 0.40
Jean poured 0.667 minus 0.40 water out of the tank = 0.267
0.267 = 4/15
0.267 of 1 liter = 0.267 x 1000 = 267 Milliliters
