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garri49 [273]
2 years ago
11

Has a base of 3, is reflected over the y-axis, has a horizontal shift right by 5 and an asymptote of y=-3

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
3 0

The equation of the exponential function is y = 3^{-x -5} - 3

<h3>How to determine the equation?</h3>

An exponential equation is represented as:

y = b^x

Where b represents the base.

The base is 3.

So, we have:

y = 3^x

When reflected over the y-axis, we have:

y = 3^{-x

When shifted right by 5 units, we have:

y = 3^{-x -5

Lastly, the function has an asymptote of y=-3

So, we have:

y = 3^{-x -5} - 3

Hence, the equation of the exponential function is y = 3^{-x -5} - 3

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

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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
Least to greatest 16%, 1/10, 0.14, 0.9​
Alekssandra [29.7K]

Answer:

1/10, 0.14, 16%, 0.9

Step-by-step explanation:

Convert each number to either fraction, decimal, or percent.

1/10 10/100 0.1 10%

      14/100 0.14 14%

      16/100 0.16 16%

      90/100 0.9 90%

8 0
3 years ago
Read 2 more answers
What the simplest way to divide 3/(-74)
Rashid [163]

Answer: -3/74

Step-by-step explanation:Maybe easiest way is a calculator but Have a brilliant day of learning!

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Daniel [21]

Answer:

place your dots on the grid

Step-by-step explanation:

for example r would beeee uhm 3 y x 2

6 0
3 years ago
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Minchanka [31]

Answer:

2y I think ( I am not sure tho)

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