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Jet001 [13]
3 years ago
5

61:3 odds pays out how much if you bet $25. I think $1550

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

$508.33

Step-by-step explanation:

If I bet $25 (And I win, of course), I will win:

If I win $61 per every $3 bet, then:

61/3 = x/25 ⇒ Solving for 'x':

61*25/3 = $508.33

Finally, if you bet $25 you will win $508.33.

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Someone please help me, this is dealing with the pythagorean theorem
Stella [2.4K]
14.  x ^2  =  12^2  + 7 ^2  = x = sqrt (12^2 + 7^2) =  sqrt(193)




4 0
3 years ago
A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwo
tamaranim1 [39]

The prediction for the number of passwords in which the first character is a vowel is 56 passwords.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X \sim B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The expected value and variance of X are:

E(X) = np\\

Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.

Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).

Now as the computer produces 400 passwords, therefore, the predicted value can be written as,

E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56

Hence, the prediction for the number of passwords in which the first character is a vowel is 56 passwords.

Learn more about Binomial Distribution:

brainly.com/question/14565246

#SPJ1

5 0
2 years ago
5601 in scientific notation
Anna007 [38]
5.601 x 10^3

Hope that helped!
8 0
3 years ago
Tri-Star Industries employs electrical, plumbing, and air conditioning technicians. Their home office is made up of three square
Molodets [167]

Answer:

6084 \text{ft}^2.

Step-by-step explanation:

Please find the attachment.

We have been given that  the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 \text{ft}^2 and the area of the A/C building is 900 \text{ft}^2.

We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

a^2+b^2=c^2

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.

Upon substituting our given information in Pythagoras theorem, we will get:

5184+900=c^2

6084=c^2

Therefore, the area of electrical building is 6084 square feet.

3 0
3 years ago
let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep
Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

x_1,x_2 and x_3 are linearly independent.

By definition of linear independent there exits three scalar a_1,a_2 and a_3 such that

a_1x_1+a_2x_2+a_3x_3=0

Where a_1=a_2=a_3=0

y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1

We have to prove that y_1,y_2 and y_3 are linearly independent.

Let b_1,b_2 and b_3 such that

b_1y_1+b_2y_2+b_3y_3=0

b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0

b_1x_2+b_1x_1+b_2x_3+b_2x_2+b_3x_3+b_3x_1=0

(b_1+b_3)x_1+(b_2+b_1)x_2+(b_2+b_3)x_3=0

b_1+b_3=0

b_1=-b_3...(1)

b_1+b_2=0

b_1=-b_2..(2)

b_2+b_3=0

b_2=-b_3..(3)

Because x_1,x_2 and x_3 are linearly independent.

From equation (1) and (3)

b_1=b_2...(4)

Adding equation (2) and (4)

2b_1==0

b_1=0

From equation (1) and (2)

b_3=0,b_2=0,b_3=0

Hence, y_1,y_2 and y_3 area linearly independent.

5 0
3 years ago
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