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timurjin [86]
3 years ago
13

Which of the following determines a plane?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

Answer B

3 non collinear point

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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

4 0
3 years ago
Simplify:<br> 8+(-13)-18=
Nuetrik [128]

Answer:

-23

Step-by-step explanation:

You combine the numbers

8+(-13)-18=

add 8 to -13

-5

add -18 to -5

-23

8 0
3 years ago
Read 2 more answers
How do you solve this... 8=x-5/7
Anarel [89]
Add 5/7 on both sides.

It'll cancel out the negative 5/7, and it will make the x variable only equal to one number (Well, a mixed number.)
5 0
3 years ago
Read 2 more answers
The measure of one angle in a parallelogram is 10 degrees less than 2.5 times the measure of the other angle. What is the measur
Lady bird [3.3K]

Answer:

Sum of the angles = 360 degrees.

-----

Let the two larger angles have measure "x":

-----

Then the two smaller angles have measure "0.25x":

Step-by-step explanation:

8 0
3 years ago
Question Simplify the expression. 14 - (-8)= 6 -22 22​
Effectus [21]

14 - ( - 8) = 6 - 22 \\ 14 + 8 = 6 - 22 \\ 14 + 8 =  - 16 \\ 22≠  - 16 \\ false

<h2>☺︎︎Hence proved✔︎</h2>
4 0
3 years ago
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