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3 years ago

Help Por favor! Will mark brainliest!

Mathematics

1 answer:

postnew [5]3 years ago

8 0

Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.

Step-by-step explanation:

1). 2x + 3y = 33

2). 5x + 2y = 55

3). I’m going to use substitution.

Isolate a variable (x):

2x + 3y = 33

2x = -3y + 33

X = (-3y + 33)/2

X = -3/2y + 33/2

Substitute and solve for y:

5x + 2y = 55

5(-3/2y + 33/2) + 2y = 55

-15/2y + 165/2 + 2y = 55

-11/2y = -55/2

Y = 5 <— children’s ticket.

Solve for x:

2x + 3y = 33

2x + 3(5) = 33

2x + 15 = 33

2x = 18

X = 9 <— adult’s ticket.

Check:

5x + 2y = 55

5(9) + 2(5) = 55

45 + 10 = 55

55 = 55

2x + 3y = 33

2(9) + 3(5) = 33

18 + 15 = 33

33 = 33

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4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are

Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.

In this problem:

1000 people means that $N = 1000$
130 can wiggle their ears, thus $k = 130$
Two are selected, thus $n = 2$ .

The probability that neither can wiggle his or her ears is P(X = 0), thus:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568$

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0

2 years ago

What is 5x5x5x5 plz tell me

Llana [10]

5 times 5 times 5 times 5 is 20

So just count by 5

Hope this help

6 0

3 years ago

Read 2 more answers

What is the volume of a cube 1 1/2 inches wide 2 1/2 inches long and 4 inches high?

mel-nik [20]

Answer:

231

Step-by-step explanation:

first of all it must be a cuboid bcoz a cube's edge is same i.e length =breadth= height.

now volume of cuboid =lbh

11/2×21/2×4

=231

ans....

6 0

2 years ago

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The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Cels

Maru [420]

If you think of the equation as an equation for a line.

y=mx+b

where

C=5/9(F−32)

(

−

)

C=5/9F−5/9(32)

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3 years ago

The woods family traveled 25 miles in 1/2 hour. If it is currently 3:00 pm and the family's destination is 225 miles away at wha

svetlana [45]

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3 years ago