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Brrunno [24]
4 years ago
9

What is standard form of a polynomial and what are like terms? Provide examples of your own.

Mathematics
1 answer:
Anastaziya [24]4 years ago
3 0

Standard form of a polynomial is when all of the terms are put in descending degree order. So 6^2+5x^4 would be written as 5x^4+6^2 since 4 is a higher degree than 2. Like terms are when two monomials either share the same degree or have the same variables. So 6x and 5x would be like terms

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A study tested whether significant social activities outside the house in young children affected their probability of later dev
Alona [7]

Answer:

Step-by-step explanation:

From the question we are told that

   The first  sample size is  n_1   =  1000

    The second sample size is n_2 =  6000

    The number that had significant outside activity in the sample with ALL is  k_1 =  700

    The number that had significant outside activity in the sample without  ALL is  k_2 =  5000

Considering question a

   The percentage of children with ALL have significant social activity outside the home when younger is mathematically represented as

               \^ p_1   =  \frac{700}{1000}  * 100

=>            \^ p_ 1 = 0.7 =  70\%

Considering question b

   The percentage of children without  ALL have significant social activity outside the home when younger is mathematically represented as

               \^ p_2   =  \frac{5000}{6000}

=>            \^ p_ 2 =  0.83

Generally the sample odds ratio for significant social activity outside the home when younger, comparing the groups with and without ALL is mathematically represented as

           r =  \frac{\* p _1}{ \^  p_2 }

=>      r =  \frac{0.7}{ 0.83 }

=>      r = 0.141    

Considering question  c

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the lower limit of the  95% confidence interval for the population odds ratio for significant social activity outside the home when younger, comparing the groups with and without ALL is mathematically represented as

      a =  e^{ln  ( r ) -  Z_{\frac{\alpha }{2}} \sqrt{ [ \frac{1}{ k_1 } ] + [ \frac{1}{ c_1 } ] + [\frac{1}{k_2} ] + [\frac{1}{ c_2 } ]  } }

Here c_1 \  and  \ c_2 are the non-significant values i.e people that did not play outside when they were young in both samples

The values are

     c_1 =  1000 - 700 =  300

and  c_2 =  6000 - 5000

=>     c_2 = 1000

=>   a =  e^{ln  ( 0.141 ) -  1.96  \sqrt{ [ \frac{1}{ 700 } ] + [ \frac{1}{ 1000} ] + [\frac{1}{5000} ] + [\frac{1}{ 300 } ]  } }

=>   a =  0.1212

Generally the upper limit of the  95% confidence interval for the population odds ratio for significant social activity outside the home when younger, comparing the groups with and without ALL is mathematically represented as

    b =  e^{ln  ( 0.141 ) +  1.96  \sqrt{ [ \frac{1}{ 700 } ] + [ \frac{1}{ 1000} ] + [\frac{1}{5000} ] + [\frac{1}{ 300 } ]  } }

    b  =  0.1640

Generally  the 95% confidence interval for the population odds ratio for significant social activity outside the home when younger, comparing the groups with and without ALL is  

        95\% CI  =  [ 0.1212 , 0.1640  ]

Generally looking and the confidence interval obtained we see that it is less that 1  hence this means that there is a greater odd of developing ALL  in  groups with insignificant social activity compared to groups with significant social activity

3 0
3 years ago
Which of the following ratio is equivalent to 3/16? a. 16:3
Ostrovityanka [42]
If one ratio is equivalent to another, that means that you multiply the top and the bottom on one ratio by a constant to get the larger ratio.  D does that here for us.  We have to multiply 3 by 5 to get to 15, so 16 times 5 better be 80 and it is. 
5 0
4 years ago
Read 2 more answers
X + 2y = 10<br><br> y=x-4<br> Choices are:<br> (0,4)<br> (2,6)<br> (6,2)<br> (8,0) <br> Work shown
LuckyWell [14K]

Answer:

C) (6,2)

Step-by-step explanation:

Rewrite equations:

y=x−4;x+2y=10

Step: Solve y=x−4for y:

y=x−4

Step: Substitute x − 4 for y in x+2y=10:

x+2y=10

x+2(x−4)=10

3x−8=10(Simplify both sides of the equation)

3x−8+8=10+8(Add 8 to both sides)

3x=18

3x

3

=

18

3

(Divide both sides by 3)

x=6

Step: Substitute6forxiny=x−4:

y=x−4

y=6−4

y=2(Simplify both sides of the equation)

Hope this helps!

:)

5 0
3 years ago
Read 2 more answers
Describe the graph.
Sladkaya [172]

Answer:

It would be the last one!! Hope this helps

5 0
2 years ago
Read 2 more answers
Y = 2x2 - 3x - 20?
nikitadnepr [17]
2x² - 3x - 20

40
2 20
4 10
5 8

2x² - 8x       5x - 20
2x(x - 4)      5(x - 4)
(2x + 5) (x - 4)
2x + 5 = 0      x - 4 = 0
2x = -5          x = 4
x = -5/2
C) x = -2.5 and 4
4 0
3 years ago
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