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nignag [31]
3 years ago
6

Find the distance between the points given. (-3, 2) and (9, -3)

Mathematics
1 answer:
g100num [7]3 years ago
8 0
The distance will be given by the equation;
D=\sqrt{( x_{1} - x_{2} )^{2} +( y_{1} - y_{2} )^{2}   }
D=\sqrt{ (-3-9)^{2}+( 2--3)^{2}  }
D=\sqrt{ (-12)^{2} + (5)^{2} }
D=\sqrt{169}
D=13 units
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What is the solution to this system of equations? 3x + 2y=45 , 4x-y=5
sleet_krkn [62]
The solution is (5, 15)

Multiply the second equation by 2 and then add through. 

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3 0
3 years ago
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larisa86 [58]

Answer:

99.87% of cans have less than 362 grams of lemonade mix

Step-by-step explanation:

Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;

We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;

Pr(X<362)

We calculate the z-score by standardizing the random variable X;

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Pr(Z<3) = 0.9987

Therefore, 99.87% of cans have less than 362 grams of lemonade mix

4 0
3 years ago
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