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liraira [26]
3 years ago
5

to get a free meal at his favorite restaurant Tom needs to spend $50 or more at the restaurant he has already spent $30.25. How

much more does tom need to spend to get his free meal?
Mathematics
2 answers:
STALIN [3.7K]3 years ago
7 0
He needs to spend $19.75 because $50-30.25=$19.75. :)
Bogdan [553]3 years ago
6 0
You subtract; 50-30.25 = 19.75 which is the answer.
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The 2003 Statistical Abstract of the United States reported the percentage of people years of age and older who smoke. Suppose t
Paul [167]

Complete Question

The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population?

c. What is the 95% confidence interval for the proportion of smokers in the population?

Answer:

a

n = 2017

b

\^ p = 0.2578

c

0.238  <  0.278

Step-by-step explanation:

Considering question a

From the question we are told that

    The margin of error is  E = 0.02

     The preliminary estimate of the proportion who smoke is  p = 0.30

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 sample size is mathematically  represented as  

      n = [ \frac{Z_{\frac{\alpha }{2} }  }{E} ] ^2  *  p(1 - p )

=>   n = [ \frac{1.96  }{0.02} ] ^2  *  0.30(1 -  0.30  )

=>   n = 2017

Considering question b

 From the question we are told that

   The number of smokers  is  k =  520  

Generally the  point estimate of the proportion of smokers in the population is mathematically represented as

        \^ p =  \frac{520 }{2017 }

=>    \^ p = 0.2578

Considering  question c

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>   0.2578 - 0.02 <  0.2578 + 0.02

=>   0.238  <  0.278

7 0
3 years ago
Collin spent $34 on a new video game. How much money does he need to earn in order to have a net change of $0?
ivann1987 [24]
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3 years ago
What is the sum of the measures of the exterior angles of this triangle?
Serjik [45]
<span>the sum of the measures of the exterior angles of this triangle is 360.
(A=61, B=119, C=68 in case you need to know)</span>
8 0
3 years ago
Read 2 more answers
225.286 rounded into ones place value
Paha777 [63]

Answer:225

Step-by-step explanation: If your decimals are less than 5 then it stays

4 0
3 years ago
The product of the 3 consecutive whole number is 990 what is the sum of the 3 whole numbers'
kogti [31]
To solve this, look for some factors which could go into the number. Since it ends in a 0, the number 10 is a factor. Since 990 is the product of these factors (meaning they are multiplied together) you can divide out the 10, since division is the opposite of multiplication. This leaves you with the number 99. You can repeat this same process again, realizing that 9 must be a factor of 99 because both digits are 9. If you divide out the 9, this leaves you with 11.
Thus, we know 9*10*11 equals 990. Also, these numbers are consecutive because they increase by 1 each time.
The sum of the numbers is 9+10+11, whicj Iis 30.
ANSWER: 30
4 0
3 years ago
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