Answer:
Being male and preferring brand A are independent.
Because: if independent then P(male and brand A) = P(male) P(brand A) = 0.48 * 0.75 = 0.36 and that is true (= value in the table)
P(male|brand A)=0.36/0.75=0.48 = P(male)
So the two answers are:
(1) "independent"
(2) =
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Answer:
Step-by-step explanation:
5x3= 15
8x9=72
12x11=132
14x17=138
9x17=153
15+72+132+138+153=510
510/50=10.2= mean
"12" represents Mike's original distance from his home. As he rides, this distance decreases by 2 miles/minute (which is rather unlikely, as that'd be 120 mph).
Y varies directly with x" means y = constant * x or y = kx ----- (1)1. when x = -1/2, y = 2Put it in (1):2 = k * (-1/2)multiply by 2:4 = k * (-1)4 = -kk = -4y = -4x
"find the value of y when x= -0.3"y = -4x = (-4) * (-0.3) = 1.2
So for each problem, start with y = kxThey give you one x and one y value.Put it in y = kx and find k.Then put x = -0.3 and find y.
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
