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Murljashka [212]
3 years ago
6

Find the probability of the given event Choosing five numbers that match five randomly selected balls when the balls are numbere

d 1 through 36 The probability of the given event is ___ (Type an integer or a simplified fraction.)
Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

1/376,992

Step-by-step explanation:

Assuming that the order at which the numbers are picked does not matter, the number of possible combinations of selecting 5 balls out of 36 is:

n=\frac{36!}{(36-5)!5!}=\frac{36*35*34*33*32}{5*4*3*2*1}=376,992

Since each event can only happen once, the probability of getting all five balls right is:

P = \frac{1}{376,992}

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Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation
Mkey [24]

Answer:

Part A:

Luke's original box of cereal costs $2 more than the super-saving brand.

y=9(1) 

y=9

11-9=2

Part B:

y=9(6)

y=54

11x6=66

66-54=12

Luke saves $12 each month if he buys 6 boxes of the super-saving brand. 

pls mark brainliest

8 0
3 years ago
In the figure above, circles A and B are tangent to each other and to the large circle. If the radius of circle A
Ne4ueva [31]

Answer:

The answer to your question is A = 200.96 u²

Step-by-step explanation:

Data

Radius A = 6

Radius B = 2

π = 3.14

Area = ?

Formula

Area = πr²

Process

1.- Calculate the radius of the large circle

Radius = radius of circle A + radius of circle B

Radius = 6 + 2

Radius = 8

2.- Substitute in the formula

Area = (3.14)(8)²

Area = 3.14(64)

Area = 200.96 u²

6 0
3 years ago
Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution
Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\

for y=e^{6x}:

y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\

Now we replace in the differential equation  y'' − y' − 30y = 0

for y=e^{-5x}:

25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0

for y=e^{6x}:

36e^{6x}-6e^{6x}-30=0\\36-6+30=0

Now, to know if both function are linearly independent we calculate the Wronskian

W(f,g)=fg'-f'g

W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0

I hope this is useful for you

Best regard

7 0
3 years ago
Write a story problem to go with the multiplication problem 3 x 7/8
Mariulka [41]

Answer:

Elias Nebiyu gives seven breads for his eight friends and he continues this give away for three days.

Step-by-step explanation:

3x 7/8 result is attached above.

4 0
2 years ago
What is 64÷2 then add that answer by 204
vekshin1
64÷2
32
32+204
236
Your answer is 236
3 0
3 years ago
Read 2 more answers
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