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zvonat [6]
3 years ago
5

Bill Gates wrote a computer program that generates three random numbers

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

1/1000

Step-by-step explanation:

The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:

p(AB)=p(A)\cdot p(B) (1)

In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.

The total number of possible outcomes is

n = 10

While the number of succesfull outcomes (getting a 3) is only one:

s=1

So, the probability of drawing a 3 in 1 draw is

p(3)=\frac{s}{n}=\frac{1}{10}

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

p(333)=p(3)p(3)p(3)=(\frac{1}{10})(\frac{1}{10})(\frac{1}{10})=\frac{1}{1000}

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Soloha48 [4]

Answer: A,B,D,E

Step-by-step explanation: All of them either have a base and height of 4, or if its E, it is 8 by2. The formula for solving a triangle is base x height divided by 2. In this case, the two sides have to equal 16, as the area is 16/2, or 8

5 0
3 years ago
Y = (x) = (1/16)^x<br> Find f(x) when x = (1/4)
Naddik [55]

Answer:

1/2

Step-by-step explanation:

(1/16)^x

Let x = 1/4

(1/16)^ 1/4

Rewriting 16 as 2^4

(1/2^4)^ 1/4

We know that 1 / a^b = a^-b

(2 ^ -4)^ 1/4

We know that a^b^c = a^(b*c)

2^(-4*1/4)

2^-1

We know that  a^-b = 1/ a^b

2^-1 = 1/2^1 = 1/2

7 0
3 years ago
Read 2 more answers
AJ purchased a new TV for $1200. The regular price of the TV was $1500.what percent did AJ save buying it on sale ?
svet-max [94.6K]

A. 20%


Work: 1500 x .20 = 300

1500 - 300 = 1200


Hope this helps!

4 0
3 years ago
Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9 for the second and third​ dig
Anna35 [415]

Using the fundamental counting theorem, we have that:

  • 648 different area codes are possible with this rule.
  • There are 6,480,000,000 possible 10-digit phone numbers.
  • The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

  • 8 options for the first digit.
  • 9 options for the second and third.

Thus:

8 \times 9 \times 9 = 648

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

  • 7 digits, each with 10 options.
  • 648 different area codes.

Then

648 \times 10^7 = 6,480,000,000&#10;

There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at brainly.com/question/24067651

5 0
3 years ago
Find the value of x. I need help thank you! :)​
kondor19780726 [428]

Answer:

47

Step-by-step explanation:

Hope this helps. Let me know if you have any questions.

8 0
3 years ago
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