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GaryK [48]
3 years ago
14

this week maddie worked 2 1/2 hours on monday, 2 2/3 hours on tuesday and 3 1/4 hours on wednesday. how many more hours will mad

die need to work this week to make her goal of 10 1/2 hours a week
Mathematics
1 answer:
ddd [48]3 years ago
7 0
For this you will have to know how to add fractions. First of all i like to add the whole numbers together first, so 2+2+3= 7. so now what you have to do is add the fractions together. so    2/3 + 1/4 + 1/2 = ?   you will have to find a common denominator for 3, 4, and 2; which is 12.  Multiply each fraction by the needed number to get each denominator to 12. so 2/3 will be multiplied by 4, 1/4 will be multiplied by 3, and 1/2 will be multiplied by 6. The new equation and answer will be:   8/12 + 3/12 + 6/12 = 17/12. 17/12 as a mixed fraction is 1 5/12. now we add 1 5/12 and 7 to equal 8 5/12.  and then you will have to subtract this from 10, using common denominators and such to get your final answer of  2 1/12.   (sorry for the long spiel on how to do this question)
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AP Statistics Quiz 10.2
guapka [62]

Answer:

Hello some data related to your question is missing attached below is the missing data

a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )

b) <em>( 3.819 , 8.5226 ) </em>

Step-by-step explanation:

Applying the Given data:

The test hypothesis :

H0 : μ1 = μ2

Ha : μ1 > 2

A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures

B ) construct and interpret

next calculate the SP value

S^{2} _{p} = \frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2}    }{n1 + n2 - 2}

where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551   ( input values into equation above )

∴ S^{2} _{p} = 39354491.3716

hence : S_{p} = 6273.32

next calculate the value of test statistic

to = ( X1 - X2 - Δo ) / Sp \sqrt{\frac{1}{n1} + \frac{1}{n2}  }

where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100  ( input values into equation above )

to = 6705 / 1086.5702 = 6.1708

Df ( degree of freedom ) = n1 + n2 - 2 = 148

critical value at ∝ = 0.01  = ± 2.3518  ( using excel function : T.INV(0.01,148) )

hence the confidence Interval

= ( 6.1708 ± 2.3518 )

<em>= ( 3.819 , 8.5226 ) </em>

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