Heather increase the amount of soda she drinks from 48 oz. to 54 oz. By what percentage did Heather increase the amount of soda
1 answer:
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<h3>The probability of winning the lottery is 
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Step-by-step explanation:
Here, the total numbers in the jackpot = 1 to 34
Now, the number that needed to be drawn = 5
The number of ways , 5 number can be drawn from total 34 numbers :
Also, in separate draw, the correct number drawn = 1
So, the number of ways that can be done = 30 C 5 x 37
= 278,256 x 37 = 10,295,472
Now, P(win) =
Hence, the probability of winning the lottery is
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )