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kogti [31]
3 years ago
12

Four friends had dinner at a restaurant. The bill was $45.00 and they added a 20% tip. The four friends shared the total cost eq

ually. How much does each person pay?​
Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

$13.50

Step-by-step explanation:

We can find the total bill here by multiplying $45 by 1.20, where the 0.20 represents the 20% tip:

1.20($45) = $54

Since the four friends agree to split the bill equally, each pays:

$54/4 = $13.50

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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
Need help with this ASAP I accidentally put the second one but just ignore that
kondor19780726 [428]

Answer:

it's A

Step-by-step explanation:

jsushskzhsonssjksjzisnsnsjs

6 0
3 years ago
Read 2 more answers
Please help! will give brainliest! ​
Lunna [17]

Answer:

i got 1/12 for 5, 12 for 6, and 1/12 for 7. 8 is 3/2, 9 is 4/5, 10 is 4/9, 11 is 2 1/2.

5 0
3 years ago
There are 45 cards in a card game deck. How many cards in 4 decks?
Alex_Xolod [135]

Answer:

180 cards

Step-by-step explanation:

45x 4= 180

6 0
2 years ago
Write your answer as a fraction.
insens350 [35]

Answer:3/8

Step-by-step explanation:

5 0
3 years ago
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