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ale4655 [162]
3 years ago
9

Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob

abilities). Let Y be the next day after X (again represented as an integer between 1 and 7). Do X and Y have the same distribution
Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

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77julia77 [94]

Answer:

The diameter of pool a is 10.37 (34 × 0.305)

Pool B is greater

The circumference of pool B is greater

The area of pool B is 65.7221183130984ft

The area of pool a is

32.5783158177261ft

65.7221183130984 - 32.5783158177261=

Pool Bs area is 33.143802ft² bigger

4 0
3 years ago
Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16
AleksandrR [38]

Answer:

  (f\cdot g)(x)=\dfrac{7x-21}{x+4}

Step-by-step explanation:

(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}

7 0
3 years ago
Can y’all please help me with this!!
Zepler [3.9K]

Answer:

B

Step-by-step explanation:

i'm assuming its B sorry if it didn't help

6 0
3 years ago
I bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
aev [14]
4.50 ÷ 5 = 0.9

The unit price is $0.9 or ¢9.
8 0
3 years ago
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect d
ICE Princess25 [194]

Answer:

C

Step-by-step explanation:

Since the question is asking for surface area and the dimensions are multiplied by 10, the surface area is multiplied by 10^2, or 100. (For area it would be 10^3, or 1000)

8 0
3 years ago
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