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In-s [12.5K]
3 years ago
5

In one type of state lottery 5 distinct numbers are picked from 1,2,3,...,40 uniformly at random.

Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer: a) 1 / ⁴⁰C₅ b)  0.33

Step-by-step explanation:

a) The sample space consists of all numbers 1-40.

Since any of the number can be taken from the sample space  so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅

b)

If we pick exactly 3 even number then that means other 2 will be odd.

So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.

Now we have to pick 3 even out of 20 and 2 odd out of 20.

Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅

Probability= 0.33

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The ratio of length to width (measured in inches) in a rectangle is 4∶7. find the length of the rectangle if the area is known t
Len [333]
Hey mate
here is your answer

length and width are given in the ratio are ;(4:7)
area of rectangle = (l×b)
therefore,
4x×7x=700
28x^2=700
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3 years ago
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
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Answer:

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2 years ago
F(n+1)=f(n)-5. If f(1)=100, what is f(6)
PilotLPTM [1.2K]

Answer:

<em>75</em>

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

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Read 2 more answers
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