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Fittoniya [83]
3 years ago
10

Each friend has a 30% chance to get a musical card. Design a simulation that can be used to estimate the probability that a frie

nd who receives 2 greeting cards will receive at least one musical greeting card
Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

The probability that a friend who receives 2 greeting cards will receive at least one musical greeting card is 0.3

Step-by-step explanation:

The probability of getting a musical card = P(A) = 30 % or 0.3

Therefore probability of not receiving a plain card = P(A)' = P(B) = 100-30  or 1- 0.3 = 0.7

The probability of receiving at least one musical card when two cards are given is

P(A)×P(A) +P(A)×P(B)-P(B)×P(B) =0.3×0.3+0.3×0.7 = 0.3

The probability of receiving at least one musical card = 0.3

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Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg
alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A'  hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?  

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,  

Hypotenuse: 3y

Leg: y+4  

Since the triangle A and B are congruent so, the sides of triangles are equal.

x+4=3y    (Hypotenuse are equal)  ..........[1]

and x=y+4   (Legs are equal)   ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

x+4=3y

y+4+4=3y

8=2y

y=4

Substitute y in [2],

x=y+4

x=4+4

x=8

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,  

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

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Answer:

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f(x) = x^4 + 4

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Answer:

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r = rate each year (0.02)

t = time (in years) (t)

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