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Nonamiya [84]
3 years ago
8

Write the decimal -0.43 as a fraction in simplest form​

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0

Answer:

-0.43/100

Step-by-step explanation:

then divide those two numbers by a number that they both can be divided by/the GCF

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The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.
Zielflug [23.3K]

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    P(X \ge  15) =  P( \frac{X - \mu}{\sigma }  \ge \frac{x - \mu}{\sigma } )

Now  applying  Continuity Correction we have

   P(X \ge  (15-0.5)) =  P( \frac{X - \mu}{\sigma }  > \frac{(15 -0.5) - 15}{3.86 } )

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

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

7 0
4 years ago
Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?​
Troyanec [42]

Answer:

106

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Explain how 2 plus 2 Equals 4
aivan3 [116]
You have 2+2 in each 2 there are 1's so

2=(1+1) 2=(1+1) =4
4=1+1+1+1
2+2=4
think of 2's as 1's when adding did you know 2x2= 4 as well.
3 0
3 years ago
Read 2 more answers
Aiden is 27 inches tall. He is 3/8 as tall as his father. How y’all is his father?
Paul [167]

27 inches ......... 3/8

x inches .............8/8

<h3>x = (27×8/8)/(3/8) = 27×8/3 = 216/3 = 72 inches (father)</h3>
7 0
4 years ago
How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?
professor190 [17]
If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example:    (plus) 927 added to (negative) 927  =  zero


If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==>   (plus) 92 added to (negative) 91
         92 and 91 are 1 number apart on the number line.
         The positive number is bigger than the negative number.
         So the sum is  +1 . 

==>    (plus) 35 added to (negative) 37
          35 and 37 are 2 numbers apart on the number line.
          The negative number is bigger than the positive one.
          So the sum is  -2 .
3 0
3 years ago
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