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Nookie1986 [14]
3 years ago
6

In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at

random. Find the probability that all 4 are different.
Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

D = 10*9*8*7 = 5040

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

50.40% probability that all 4 are different.

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Write an equation with the two points: (5,-2) and (3,4)
eimsori [14]

Answer:

y=-3x-17

Step-by-step explanation:

To find out the m(slope) of the equation use the formula:

\frac{y_2-y_1}{x_2-x_1}.

Substitute the values:

\frac{4--2}{3-5}

Combine the values:

\frac{6}{-2}

Find the value of the fraction:

-3

M is -3.

The equation so far is y=-3x+b

To find the y intercept, substitute one pair of coordinates into the equation and solve for b:

y=-3x+b\\-2=3*5+b\\-2=15+b\\-17=b.

We see that b =-17 so the full equation would be:

y=-3x-17.

3 0
3 years ago
Question 10
julia-pushkina [17]

Answer:

c use your brain ok

Step-by-step explanation:

lol

7 0
3 years ago
Please help on this Question, I need Pre Calc help
Ksju [112]
Your answer would be D

7 0
3 years ago
Hong made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces wa
egoroff_w [7]
B+ p= 10.40
b=2x 2.50
Now using substitution method replace b in first equation with value of second equation basically combing the two equations into one do you end up with one variable to solve .
2 x 2.50 +p =10.40
5 + p=10.40
P=$5.40
b =$5.00
The answer is EACH pendant cost $2.70
(You have to divide 5.40 by two )
6 0
2 years ago
Point A is located at (3,-6) and point A is located at (1-2). What is the scale factor?
Anuta_ua [19.1K]

Answer:

The scale factor is 3.

Step-by-step explanation:

Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).

Therefore, the distance OA is given by \sqrt{(3 - 0)^{2} + (- 6 - 0)^{2}} = 3\sqrt{5} units.

Again, the coordinates of point A' are (1,-2).

Therefore, the distance OA' is given by \sqrt{(1 - 0)^{2} + (- 2 - 0)^{2}} = \sqrt{5} units.

Hence, the scale factor is \frac{OA}{OA'} = \frac{3\sqrt{5} }{\sqrt{5}} = 3. (Answer)

4 0
3 years ago
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