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Novay_Z [31]
3 years ago
5

What is the equivalent ratio of 156:390

Mathematics
1 answer:
elena-s [515]3 years ago
6 0
156 : 390 = 312 : <span>780

hope it helped
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the ammount of tax is $15.

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Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
Mrrafil [7]

Answer:

E(X_n)=\frac{2(n-1)}{27}

E(y)=\frac{14}{9}

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green g=4

Number of yellow y=4

Number of white w=4

Probability of Green Followed by yellow P(GY) ball

 P(GY)=\frac{4}{9}*\frac{3}{9}

 P(GY)=\frac{4}{27}

Generally the equations for when n is even is mathematically given by

 Probability of success P(S)=\frac{4}{27}

 Probability of Failure P(F)=\frac{27-4}{27}

 Probability of Failure P(F)=\frac{23}{27}

Therefore

 E(X_n)=\frac{n}{2}*P

 E(X_n)=\frac{n}{2}*\frac{4}{27}

 E(X_n)=\frac{2n}{27}

Generally the equations for when n is odd is mathematically given by

 \frac{n-1}{2}

 E(X_n)=\frac{n-1}{2}*\frac{4}{27}

 E(X_n)=\frac{2(n-1)}{27}

b)

Probability of drawing white ball

 P(w)=\frac{2}{9}

Therefore

 E(w)=\frac{1}{p}

 E(w)=\frac{1}{\frac{2}{9}}

 E(w)=\frac{9}{2}

Therefore

 E(y)=[E(w)-1]\frac{4}{9}

 E(y)=[\frac{9}{2}-1]\frac{4}{9}

 E(y)=\frac{14}{9}

5 0
3 years ago
Need help please stressing out over this problem!?!?!
ludmilkaskok [199]

v =  \frac{4}{3} \times \pi \times  {r}^{3}

Finding the radius,

d = 2r, \: r =  \frac{d}{2}  =  \frac{8}{2}  = 4inches

Plugging in our values,

v =  \frac{4}{3}  \times 3.14 \times  {4}^{3}  =  \frac{4}{3}  \times 3.14 \times 64 = 267.95 {inches}^{3}  \\

Rounding to the nearest whol number,

v = 268 {inches}^{3}

6 0
3 years ago
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