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antiseptic1488 [7]
2 years ago
13

What are the roots of 3x2 + 10 = 4x? A. B. C. D.

Mathematics
2 answers:
STALIN [3.7K]2 years ago
3 0
4x=4x4
3x2+10=16
What are the numbers for A,b,c,d
galina1969 [7]2 years ago
3 0

Answer:

x=\frac{2}{3}\pm\frac{\sqrt{26}}{3}i

Step-by-step explanation:

3x^2+10=4x\\\\3x^2-4x+10=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}\\ \\x=\frac{4\pm\sqrt{16-120}}{6}\\ \\x=\frac{4\pm\sqrt{-104}}{6}\\ \\x=\frac{4\pm2\sqrt{26}i}{6}\\ \\x=\frac{4}{6}\pm\frac{2\sqrt{26}}{6}i\\\\x=\frac{2}{3}\pm\frac{\sqrt{26}}{3}i

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8 0
2 years ago
. Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Def
mylen [45]

Complete Question

Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.

(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)

(b) 20% of Chipotle burritos weigh more than what weight

Answer:

a

   P(X  <  445  )=  0.3085

b

  k = 458.42

Step-by-step explanation:

From question we are told that

     The population mean is \mu  =  450 \ g

      The variance is var =  100 \ g^2

      The  consider weight is  x =  445 \ g

The  standard deviation is mathematically represented as

     \sigma  = \sqrt{var}

substituting values

     \sigma  = \sqrt{ 100}

     \sigma  = 10

Given that weight of Chipotle burritos follows a normal distribution the  the probability that a Chipotle burrito weighs less than x grams is mathematically represented as

        P(X  <  x  ) =  P ( \frac{X  -  \mu }{\sigma }  < \frac{x  -  \mu }{\sigma }  )

Where  \frac{X - \mu }{\sigma } is  equal to z (the standardized values of the random number X )

So

     P(X  <  x  ) =  P (Z  < \frac{x  -  \mu }{\sigma }  )

substituting values

     P(X  <  445  ) =  P (Z  < \frac{445  -  450 }{10}  )

      P(X  <  445  ) =  P (Z

Now from the normal distribution table  the value for P (Z  is  

      P(X  <  445  ) =  P (Z

=>   P(X  <  445  )=  0.3085

Let the  probability  of the Chipotle burritos weighting more that k be 20% so  

       P(X  >  k  ) =  P ( \frac{X  -  \mu }{\sigma }  > \frac{k  -  \mu }{\sigma }  ) = 0.2

=>    P (Z> \frac{k  -  \mu }{\sigma }  ) = 0.2

=>    P (Z> \frac{k  -  450}{10 }  ) = 0.2

From the normal distribution table the value of z  for  P (Z> \frac{k  -  \mu }{\sigma }  ) = 0.2 is  

    z  =  0.8416

=>   \frac{k  -  450}{10 }  = 0.8416

=>   k = 458.42

       

6 0
3 years ago
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Answer:120cm

Step-by-step explanation:

Area=\frac{dxd}{2}

10cm x 12cm=120cm

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3 years ago
There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. What is the p
arlik [135]

Answer:

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There are 24 balls in total and 8 of them are red. So you get 8/24 but you need to simplify it to its simplest form which is 1/3

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I think that the answer is 25,180.

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