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larisa86 [58]
2 years ago
11

Solve for b₂, in terms of the area of a trapezoid, A, the height, h, and b₁: A =1/2 (b₁ + b₂)h

Mathematics
1 answer:
nikklg [1K]2 years ago
8 0

Answer: b₂=2A/h-b₁

Step-by-step explanation:

A =1/2 (b₁ + b₂)h

2A=(b₁ + b₂)h

2A/h=b₁ + b₂

b₂=2A/h-b₁

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In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe
Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Probability of winning:

Desired outcomes:

The 6 correct numbers, so D = 6

Total outcomes:

6 numbers from a set of 21. So

T = C_{21,6} = \frac{21!}{6!15!} = 54264

Probability:

p = \frac{1}{54265}

Expected value

\frac{1}{54265} probability of earning 40,000.

\frac{54264}{54265} probability of losing 1. So

E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26

The expected value of this game is -$0.26.

7 0
3 years ago
Please help me :)!!!!!!!!!!!!!
den301095 [7]

Answer: 7

Step-by-step explanation:

Because to find the median to find the numbers in a triangle.

6 0
3 years ago
Hiii please help! i’ll give brainliest if you give a correct answer tysm
vitfil [10]

Answer:2 1/2 divided by 5/8 = ?

Step-by-step explanation:

7 0
3 years ago
Apply the distributive property to factor out the greatest common factor. 35+50=35+50=?
a_sh-v [17]

Answer with explanation:

The given mathematical expression to solve : 35+50

The prime factorization of each term can be written as follows :-

35=5\times7

50=5\times5\times2

We can see that the greatest common factor of both the terms = 5

So we rewrite the given expression as :-

5\times7+5\times10

By using distributive property :-

ab+ac=a(b+c) , we have

=5(7+10)=5(17)=85

3 0
3 years ago
Y - Circle
Kaylis [27]

Answer:

9cm

Step-by-step explanation:

making perpendicular "A" from center "O"

we get,OA=4cm(half of 8cm)

Now,

In triangle POA,

h^2=p^2+b^2

5^2=4^2+b^2

25=16+b^2

9=b^2

b=3cm

PA=3cm

hence,length of chords=3+3=9cm

6 0
3 years ago
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