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Arlecino [84]
3 years ago
8

Pls do it for me it

Mathematics
2 answers:
igomit [66]3 years ago
8 0
A straight line is 180°.

t + 105° = 180°

t = 180° - 105°

t = 75°


The triangle is in the picture is an isosceles.

The bottom triangle of an isosceles is the same.

t = 3x

75° = 3x

x = 25°


The sum of all the angles in a triangle is 180°.

y + 3x + t = 180°

y + 3(25°) + 75° = 180 °

y + 75° + 75° = 180°

y = 180° - 150°

y = 30°
anzhelika [568]3 years ago
4 0

Answer:

t=75 3x=75 and y=30

Step-by-step explanation:

t and 3x are equivalent because the sides are the same lengths. knowing that you can subtract 105 from 180 getting 75 for t, knowing that t and 3x are equivalent you also get the answer for 3x witch is 75. the sum of all the angles is 180 and adding 3x and t you get 150, subtracting 150 from 180 you get 30 the answer to degree y.  

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If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is
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Answer:

The probability is  P(\= X  <  40.4) = 0.84134

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =40 \ \Omega

   The standard deviation is  \sigma  = 2 \ \Omega

   The sample size is  n = 25

    The combined resistance is   \sum x_i = 1010 \ \Omega

Generally the sample mean is mathematically represented as

      \= x  = \frac{\sum x_i }{n}

=>   \= x  = \frac{1010 }{25}

=>   \= x  = 40.4 \ \Omega

Generally the standard error of the mean is mathematically represented as

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

=>  \sigma_{x} = \frac{ 2 }{\sqrt{25} }

=>  \sigma_{x} = 0.4

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       P(\= X  <  40.4) = P( \frac{\= X - \mu }{\sigma_{x }} <  \frac{ 40.4 - 40 }{0.4}  )

\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )

    P(\= X  <  40.4) = P( Z <  1 )

From the z table  the area under the normal curve to the left corresponding to  1 is

     P(\= X  <  40.4) = P( Z <  1 ) = 0.84134

     P(\= X  <  40.4) = 0.84134

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