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3 years ago

12

A Circus charges two dollars and 50 Cent for kids tickets and six dollars for adults tickets. Last weekend, twice as many kids a

ttended the circus than adults. If the ticket sales total $7150, how many kids attended the circus?

1 answer:

Sloan [31]3 years ago

6 0

Answer: The answer is 2,860.

Step-by-step explanation:

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The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development

Ann [662]

Answer:

Part A:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

P(X=15)=0.17456

Part D:

P(X≥15)=0.80417

Part E:

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

Step-by-step explanation:

Part A:

Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks

It means:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

x=15

$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

By solving above Expression:

P(X=15)=0.17456

Part D:

P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)

$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

P(X=15)=0.17456

$P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819$

$P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536$

$P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153$

Now, Adding Probabilities:

$P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\$

P(X≥15)=0.80417

Part E:

Mean Distribution:

E(x)=n*p

E(x)=20*0.8

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

6 0

2 years ago

What is the value of x?

ASHA 777 [7]

The answer is 20

the scale factor is 1.25 (to find that out do 12.5/10) then multiply 16 by 1.25 and you get 20.

7 0

2 years ago

Read 2 more answers

What is the volume of the entire figure?<br><br> ____cm3

adelina 88 [10]

Answer:

180cm3

Step-by-step explanation:

4x12x3=144

2x2x9=36

144+36=180cm3

4 0

2 years ago

A cone has a height of 1 meter and a diameter of 2 meters. What is it’s volume

Ber [7]

Cone volume formula: V = πr²h/3

r = radius

h = height

The radius is half the diameter, so, we can divide.

2 / 2 = 1

Now, solve with the given values.

V = π(1)²(1)/3

V = π(1)(1/3)

V = 3.14(1/3)

V ≈ 1.05

Therefore, the volume is roughly 1.05m^3

Best of Luck!

6 0

3 years ago

What is 119 over 8 in its simplest form?

ivolga24 [154]

119/8 is already in simplest form. However, if you attempt to change it to a mixed number the correct answer would be 14 7/8 (7 over 8).

Hope I helped!

3 0

3 years ago