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Triss [41]
3 years ago
8

Use the stem-and-leaf plot below to answer the question. What is the range of data?

Mathematics
2 answers:
yaroslaw [1]3 years ago
6 0
Hello!

The range is the lowest number subtracted from the highest

The highest is 96
The lowest is 54

96 - 54 = 42

The range is 42

Hope this helps!
nevsk [136]3 years ago
3 0
96-54= 42. So 42 would be the range of this set of data.
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Consider the polynomial P(x)=x³+kx²+x+6.Find the value of k so that x+1 is a factor of P.
sergiy2304 [10]

Answer:

The value of k will be -4      

Step-by-step explanation:

We have given polynomial P(X)=x^3+kx^2+x+6

It is given that x+1 is factor of the polynomial

And we have to find the value of k

As x+1 is the factor of polynomial  so x+1 = 0 that is x = -1 will be the root of polynomial

So if we put x = -1 in the polynomial then the p(-1) will be zero

So 0=(-1)^3+k(-1)^2-1+6

k=-4

So the value of k will be -4

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3 years ago
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aleksandrvk [35]

Answer:

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Step-by-step explanation:


8 0
3 years ago
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
Reflect shape A in the line y = x.
marshall27 [118]

Answer:

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8 0
3 years ago
What is the area of this figure?<br> 168<br> 102<br> 132<br> 340
JulsSmile [24]
Area of square =6*6= 36 cm^2
Area of trapezoid =1/2( base1+base2)*height
base 1=7
base2=21-6=15
height=6
Area of trapezoid =1/2( 7+15)*6= 66 
whole area = area of square + area of trapezoid= 36+66=102
Answer 102

8 0
3 years ago
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