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Julli [10]
3 years ago
14

11. Which pair of angles is always congruent?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

<h3>C. Two vertical angles</h3>

This is your answer mate

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Which is a better estimate for the length of an almond?<br><br> a. 3 meters b. 3 centimeters
allsm [11]

Answer:

3 centimeters

Step-by-step explanation:

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Latonya swims 50 meters in 1/2 minute
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S = Speed
D = Distance
T = Time
S = D/T
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4 years ago
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Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera
hoa [83]

Answer:

The probability is  P(X <  12) =  0.99286

Step-by-step explanation:

From the question we are told that

        The population mean is \mu  =  12 \ oz

         The  standard deviation is  \sigma =  0.1 \ oz

          The sample mean is  \= x =  12.1 \ oz

          The sample size is  n = 6 packs

   

The standard error of the mean is mathematically represented as

              \sigma_{\= x } =  \frac{\sigma}{\sqrt{n} }

substituting values

            \sigma_{\= x } =  \frac{0.1}{\sqrt{6} }

            \sigma_{\= x } =  0.0408

Given that the can’s contents follow a Normal distribution then then  the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

         P(X <  12) =  P ( \frac{X - \mu }{ \sigma_{\= x }}  < \frac{\= x - \mu }{ \sigma_{\= x }}  )

Generally  \frac{X  - \mu }{ \sigma_{ \= x }}   =  Z (The  \ standardized \  value \ of  \ X )

So

         P(X <  12) =  P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }}  )

substituting values

       P(X <  12) =  P ( Z < \frac{12.2 -12 }{0.0408}  )

      P(X <  12) =  P ( Z < 2.45   )

From the normal distribution table the value of P ( Z < 2.45   ) is  

           P (Z < 2.45)0.99286

=>   P(X <  12) =  0.99286

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3 years ago
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Nitella [24]

Answer:

2

Step-by-step explanation:

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