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Maurinko [17]
2 years ago
6

If you answer you get friend and brainiest and 50 points but be first

Mathematics
2 answers:
sergejj [24]2 years ago
8 0

Answer:

thank you :))

Step-by-step explanation:

Marta_Voda [28]2 years ago
3 0

Answer:

thank u so much have a good day

Step-by-step explanation:

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A web server hosting company advertises 99.999 percent guaranteed network uptime. (a) how many independent network servers would
larisa [96]
<span>Instead of thinking about reliability think of failure. 99.999% reliability =0.00001 chance of failure. And 95% reliability =0.05 chance of failure. Assuming failures are independent (they probably are not) the chance of n servers failing is (0.05)n Find n such that (0.05)n=(0.00001) now do it for (0.14)n=(0.00001)</span>
3 0
3 years ago
A bag contains 4 blue marbles and 2 yellow marbles. Two marbles are randomly chosen (the first marble is NOT replaced before dra
VMariaS [17]

Answer:

0.4 = 40% probability that both marbles are blue.

0.0667 = 6.67% probability that both marbles are yellow.

53.33% probability of one blue and then one yellow

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

Step-by-step explanation:

To solve this question, we need to understand conditional probability(for the final question) and the hypergeometric distribution(for the first three, because the balls are chosen without being replaced).

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

What is the probability that both marbles are blue?

4 + 2 = 6 total marbles, which means that N = 6

4 blue, which means that k = 4

Sample of 2, which means that n = 2

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,6,2,4) = \frac{C_{4,2}*C_{2,0}}{C_{6,2}} = 0.4

0.4 = 40% probability that both marbles are blue

What is the probability that both marbles are yellow?

4 + 2 = 6 total marbles, which means that N = 6

2 yellow, which means that k = 2

Sample of 2, which means that n = 2

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,6,2,2) = \frac{C_{2,2}*C_{4,0}}{C_{6,2}} = 0.0667

0.0667 = 6.67% probability that both marbles are yellow.

What is the probability of one blue and then one yellow?

Total is 100%.

Can be:

Both blue(40%)

Both yellow(6.67%)

One blue and one yellow(x%). So

40 + 6.67 + x = 100

x = 100 - 46.67

x = 53.33

53.33% probability of one blue and then one yellow.

If you are told that both selected marbles are the same color, what is the probability that both are blue?

Conditional probability.

Event A: Both same color

Event B: Both blue

Probability of both being same color:

Both blue(40%)

Both yellow(6.67%)

This means that P(A) = 0.4 + 0.0667 = 0.4667

Probability of both being the same color and blue:

40% probability that both are blue, which means that P(A \cap B) = 0.4

Desired probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.4667} = 0.8571

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

8 0
2 years ago
What is the product of <br>(7/8)(-16)(-7)(-1/14)<br><br>A -7<br>B -9/16<br>C -1/7<br>D 23/12​
Nat2105 [25]

Answer:

-7

Step-by-step explanation:

(7/8)(-16)(-7)(-1/4)

(7/8)(-1/4)(-16)(-7)

(-1/16)(112)

-7

4 0
3 years ago
How would you know if these are a positive or a negative 0,1) and (-3,6).
Ipatiy [6.2K]
Negative has the little dash in front of it

Thank you hope this helps
7 0
3 years ago
What is value of the X? And what is the value of the missing angle? Pls help
sasho [114]
So it work like this
180-72= 108
x+4=108
x=108-4
x=104
7 0
3 years ago
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