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notka56 [123]
3 years ago
12

Help im almost finished

Mathematics
1 answer:
blagie [28]3 years ago
6 0
59aaaaaaaaaaaaaaaaaa
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Find the missing value. Show your work. Round to the nearest hundredth.
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cos^-1 (theta) = 5/13

theta = 67.38°
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*5 POINTS* plz help i need both of them
yuradex [85]

Answer:

see explanation

Step-by-step explanation:

(a)

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 6x - 2 + 2x + 4 = 8x + 2

(b)

(f - g)(x) = f(x) - g(x)

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7 0
3 years ago
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
kirza4 [7]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

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

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

7 0
3 years ago
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vaieri [72.5K]

Answer:

4. ASA theorem

Step-by-step explanation:

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