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Over [174]
3 years ago
8

For what value of α is (α, 9) a solution of the equation y=2x+1?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
Treat (a, 9) as an x and y value

Set the equation equal to 9

9= 2x+1
8= 2x subtract one
4= x divide by 2

a must be equal to four
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drek231 [11]

Answer:

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Step-by-step explanation:

Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value x_{0} such that P(X < x_{0}) = 0.76, but, 0.76 = P(X < x_{0}) = P((X-63.6)/2.5 < (x_{0}-63.6)/2.5) = P(Z < (x_{0}-63.6)/2.5), i.e., (x_{0}-63.6)/2.5 is the 76th percentile of the standard normal distribution. So, (x_{0}-63.6)/2.5 = 0.7063, x_{0} =63.6+(2.5)(0.7063) = 65.3658. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.

7 0
3 years ago
Billy wants to make trail mix using almonds, peanuts, and raisins. He wants to mix one part almonds, two parts peanuts, and thre
Y_Kistochka [10]
X = price of the ingredients

so based on the proportion , we can write that :
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peanut needed   =  2x   = 2x * $ 8     =  $ 16x
raisins needed     = 3x  =  3x * $6      =  $ 18x

Equation = 
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46x                  =     $23

x    =  $ 0.5

The pound of mix he can made :

0.5 * 1 pound of almond  + 0.5 x  * 2 pound of peanuts + 0.5 * 3 pound of raisins

= 3 Pound of mix

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Your answer should be 3) 16 inches.
3 0
3 years ago
Read 2 more answers
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