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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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Zielflug [23.3K]

I think the answer is 1/23

Please tell me if I'm wrong.

3 0
3 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
AnnZ [28]
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3
3 0
2 years ago
Read 2 more answers
!NUMBER 4! please help!! show all work please
snow_lady [41]

Answer:

C. 88

Explanation:

f(x) = 4x + 8  ||  g(x) = x² + x

fg( -5 )

go from right to left in such function problems.

replace x with [ -5 ]

f( (-5)²  -5)

f(20)

[ replace x with 20 ]

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7 0
2 years ago
A student theatre charges $9.50 per ticket. The theater has already sold 70 tickets. Write and solve an inequality that represen
Leona [35]
To make the inequality, we will use the ≥ sign to determine how many more tickets we will need. Before we write the inequality, let's see how much money was already made by the present tickets. 70 x 9.50 = $665.
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$665 + $9.50t ≥ $1000, subtract 665
$9.50t ≥ $335. Now isolate the t by divide 9.50 to both sides
t ≥ 35.26 which we can round up to 36 because you cant sell 35.26 tickets. 
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5 0
3 years ago
Level B
Darya [45]
The number has 2 digits - let's call them x and y. The positive difference between the two combinations (lowest-highest and highest-lowest) is always equal to the positive difference of x and y, multiplied by 9.

For example:

76 and 67: 76 - 67 = 9 and ((7-6)*9) = 1*9 = 9
73 and 37: 73 - 37 = 36 and ((7-3)*9) = 4*9 = 36
5 0
3 years ago
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