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serg [7]
3 years ago
15

A speeding car passes a cop going 55 miles per hour. Ten seconds later, the

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

-2.5

Step-by-step explanation:

Acceleration; v1-v0/t

v1=55

vo=35

t=10

25/10=2.5

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Write the equation for the line that goes through point (12, 15) with slope = −2.
pogonyaev

Answer:

y= -2x +39

Step-by-step explanation:

y= mx+b

m is the slope which is given -2

since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(

y - 15 = -2(x-12)

simplify

y-15= -2x +24

y= -2x + 39

7 0
2 years ago
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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
3 years ago
What is the distance between -25 and -12 on a number line
kirill [66]

Answer:

13 is the difference

Step-by-step explanation:

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What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??
Alekssandra [29.7K]

Answer:

Mean is 3, median is 1, and range is 6

Step-by-step explanation:

Im a smart dude with a great attitude

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3 years ago
Book $22.50 markup percent 42% what is the markup and retail price.
sertanlavr [38]
I multiplied, I converted the percentage to a decimal .42
Your answer should be 9.45. 
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