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Yuliya22 [10]
3 years ago
8

Vonda has 3 more quarters than dimes in her pocket. She has no other coins. The total value of her coins is $1.80. How many quar

ters and dimes does Vonda have?
Mathematics
1 answer:
yuradex [85]3 years ago
7 0
0.10x+0.25(x+3)=1.80 
<span>0.10x+0.25x+0.75=1.80 </span>
<span>0.35x=1.80-0.75=1.05 </span>
<span>x=1.05/0.35=3 </span>
<span>Therefore,Vonda has 3 dimes and 6 quarters with her </span>
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Answer:

Confidence interval is 0.2911

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Formula for confidence interval is,  

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To calculate the z value.

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Now divide above value by 2,  

\dfrac{0.05}{2}=\dfrac{\alpha}{2}

0.025=\dfrac{\alpha}{2}

To find the value of z score calculate the area under the curve as follows

A=\dfrac{1+CL}{2}

A=\dfrac{1+0.95}{2}

A=\dfrac{1.95}{2}

A=0.975

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,  

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,  

CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}

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CI=0.320- 0.02891

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Upper end of the interval is,

CI=0.320+ 0.02891

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