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VikaD [51]
1 year ago
6

The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to

pay each month?
a. $148.35
b. $196.65
c. $302.00
d. $288.00
Mathematics
2 answers:
Elza [17]1 year ago
5 0

Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

That means out of 100%  he is getting 43% he has to pay (100%-43%)= 57% of $345.00

The amount Tom has to pay each month is 57\%\cdot 345.00 it will become .57 \cdot 345.00=196.65

57\%=\frac{57}{100}=.57

Therefore,The Amount tom has to pay is $196.65 that is option b is correct


kap26 [50]1 year ago
4 0
He has to pay 57%, (%100 - %43)

57% of $345 can be worked out my multiplying by the percentage or the decimal:
345 * 57% = $196.65
345 * 0.57 = $196.65    <- same answer

He has to pay $196.65 (B)

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Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). Explain how you guy y
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Answer:

r = 0.9825; good correlation.

Step-by-step explanation:

One formula for the correlation coefficient is  

r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{n\left [\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}

The calculation is not difficult, but it is tedious.

1. Calculate the intermediate numbers

We can display them in a table.

      <u> </u><u>x</u>    <u>  y </u>   <u>  xy </u>  <u> x² </u>    <u>   y²   </u>

      -3   -40    120     9     1600

       1      12      12      1        144

       5    72   360   25      5184

     <u>  7</u>   <u>137</u>  <u> 959</u>   <u>49</u>    <u>18769 </u>

Σ = 10   181  1451   84   25697

2. Calculate the correlation coefficient

r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{4\times 1451 - 10\times 181}{\sqrt{[4\times 84 - 10^{2}][4\times25697 - 181^{2}]}}\\\\= \dfrac{5804 - 1810}{\sqrt{[336 - 100][102788 - 32761]}}\\\\= \dfrac{3994}{\sqrt{236\times70027}}\\\\= \dfrac{3994}{\sqrt{16526372}}\\\\= \dfrac{3994}{4065}\\\\= \mathbf{0.9825}

The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.

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