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pychu [463]
3 years ago
12

What is the probability of randomly selecting either a club or a non-face card from a standard deck of cards?

Mathematics
1 answer:
aalyn [17]3 years ago
5 0
There are 13 clubs in a deck of card and 13 non face cards.
P(club of non face card) = 13/52 + 13/52 = 26/52 = 1/2
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Which of the following statements regarding the expansion of (x + y)^n are correct?
kompoz [17]

Answer:

A, B and D are true statements.

Step-by-step explanation:

We are given a binomial expansion

(x+y)^n=^nC_0x^ny^0+^nC_1x^{n-1}y^1+^nC_2x^{n-2}y^2+...........+^nC_nx^0y^n

(x+y)^n=x^n+nx^{n-1}y+^nC_2x^{n-2}y^2+...........nxy^{n-1}+y^n

Now we will check each option

Option A: The coefficients of x^n and y^n both equal 1.

If we see first and last term of the expansion, This statement is true.

Option B: For any term x^ay^b in the expansion, a + b = n.

Let we take 3rd term of expansion ^nC_2x^{n-2}y^2

Here, a=n-2 and b=2

If we do  a+b = n-2+2=n

a+b=n is true statement.

Option C: For any term x^ay^b in the expansion, a - b = n.

Let we take 3rd term of expansion ^nC_2x^{n-2}y^2

Here, a=n-2 and b=2

If we do  a-b = n-2-2=n-4≠n

a-b=n is false statement.

Option D: The coefficients of x^ay^b and x^by^a are equal.

If we take second term from beginning and last of the expansion.

\text{Coefficient From beginning } nx^{n-1}y=n

\text{From last } nxy^{n-1}=n

This statement true.

8 0
3 years ago
Please help me with this trigonometry question. Brainliest available.
faltersainse [42]
Considering the angle a by cosine rule
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees


Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees


Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9

Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees

Am I right please ??
5 0
2 years ago
Solve for t. −18=6t What is the answer? −3 −1/3 12 24
Vadim26 [7]

Answer:

t=-3

Step-by-step explanation:

6t=−18

t=-18/6

t=-3

6 0
3 years ago
Read 2 more answers
Help again! Just these last 3 questions. I don't wanna beg for answers, but I need help thank you. This assis due in a few minut
lana [24]

Answer:

Question 4: 20 + 6 + 6 + 12 + 16 = 60 yd^{2}

Question 5: 144 + 90 + 90 + 48 + 48 = 420 m^{2}

Question 6: 78.28 + 78.28 + 88.58 + 27.09 + 27.09 = 299.32 ft^{2}

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
How do I find the average rate of change?​
Alenkasestr [34]

Answer:

add them all up together and then divide by the number of items

Step-by-step explanation:

8 0
3 years ago
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