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Maksim231197 [3]
2 years ago
7

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

ions. The number of tails in 4 tosses of a coin.
Mathematics
1 answer:
tigry1 [53]2 years ago
8 0

Answer:

In simplified fraction, it is expressed as : 1/16, 1/4, 3/8, 1/4, 1/16.

Step-by-step explanation:

The discrete probability distribution for the random variable is as follows:

The number of tails possible in four tosses of a coin are 0,1,2,3,4

The total number of outcomes are  

The Probability distribution is

X 0 1 2 3 4

P(X)  1/16 4/16 6/16 4/16 1/16        

Therefore, In simplified fraction, it is expressed as : 1/16, 1/4, 3/8, 1/4, 1/16.

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Answer:

259.27

Step-by-step explanation:

8 0
2 years ago
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What value of x would make KM ∥ JN?
stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if \dfrac{JK}{KL}= \dfrac{NM}{ML} , then KM ∥ JN.

Substitute the expressions into the proportion:

\dfrac{x-5}{x}= \dfrac{x-3}{x+4}

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).

Multiply and simplify:

x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

4 0
2 years ago
4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L
gulaghasi [49]
This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory. 
5 0
2 years ago
A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for mc014-1.jpg.
Pavel [41]
Hello!

We must use a certain formula to find the circumference of anything circular.

The formula is:

C = 2 × pi × r

We know that pi = 3.14 approximately and the radius is 3 feet.

Substitute:

C = 2 × 3.14 × 3

C = 6.28 × 3

C = 18.84 ft

ANSWER:

The circumference of the circular rug is 18.84 ft. (Last option)
3 0
2 years ago
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Use Euler's formula to derive the identity. (Note that if a, b, c, d are real numbers, a + bi = c + di means that a = c and b =
storchak [24]

Answer with Step-by-step explanation:

We have to prove that

sin 2\theta=2sin\theta cos\theta by using Euler's formula

Euler's formula :e^{i\theta}=cos\theta+isin\theta

e^{i(2\theta)}=(e^{i\theta})^2

By using Euler's identity, we get

cos2\theta+isin2\theta=(cos\theta+isin\theta)^2

cos2\theta+isin2\theta=(cos^2\theta-sin^2\theta+2isin\theta cos\theta)

(a+b)^2=a^2+b^2+2ab, i^2=-1

cos2\theta+isin2\theta=cos2\theta+i(2sin\theta cos\theta)

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Comparing imaginary part on both sides

Then, we get

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8 0
2 years ago
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