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3 years ago

Pls help for brainlist

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

6 0

Answer: 0.06666667 as a decimal or 3/50 as a simplified fraction, hope this helped!

Step-by-step explanation:

Cerrena [4.2K]3 years ago

5 0

10/15 -9/15 = 1/15 is the answe

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Based on past experience, the main printer in a university computer centre is operating properly 90% of the time. Suppose inspec

yaroslaw [1]

Answer:

a) 38.74% probability that the main printer is operating properly for exactly 9 inspections.

b) Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

c) The expected number of inspections in which the main printer is operating properly is 9.

Step-by-step explanation:

For each inspection, there are only two possible outcomes. Either it is operating correctly, or it is not. The probability of the printer operating correctly for an inspection is independent of any other inspection, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

Based on past experience, the main printer in a university computer centre is operating properly 90% of the time.

This means that $p = 0.9$

Suppose inspections are made at 10 randomly selected times.

This means that $n = 10$

A) What is the probability that the main printer is operating properly for exactly 9 inspections.

This is $P(X = 9)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

38.74% probability that the main printer is operating properly for exactly 9 inspections.

B) What is the probability that the main printer is operating properly for at least 3 inspections?

This is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.9)^{0}.(0.1)^{10} \approx 0$

$P(X = 1) = C_{10,1}.(0.9)^{1}.(0.1)^{9} \approx 0$

$P(X = 2) = C_{10,2}.(0.9)^{2}.(0.1)^{8} \approx 0$

Thus:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0 = 0$

Then:

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0 = 1$

Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

C) What is the expected number of inspections in which the main printer is operating properly?

The expected value for the binomial distribution is given by:

$E(X) = np$

In this question:

$E(X) = 10(0.9) = 9$

3 0

3 years ago

On the day that a certain celebrity proposes marriage, 252525 people know about it. Each day afterward, the number of people who

Serhud [2]

Answer:

Step-by-step explanation:

The graphs are attached.

First of all, the day proposal goes out, 25 people know, so the initial condition is y = 25 at x = 0.

Hence, graph would start at y = 25.

Looking at the graphs, we can eliminate B and D immediately because they start at 50.

Now, it says every day, this number (y) triples, so 1 day after, it would be:

25 * 3 = 75

So, the graph would show x = 1 and y = 75

We can eliminate "C" as it doesn't show 75 at x = 1.

And we look at A and it is correct.

So,

A is the graph of the situation represented.

6 0

3 years ago

Read 2 more answers

Convert 5.86 to a percent. A. 586% B. 58.6% C. 5.86% D. 0.0586%

beks73 [17]

Answer:

586%

Step-by-step explanation:

5.86 times 100 to change to a percent

586 %

7 0

3 years ago

Points A,B,C,D, and E are collinear and in that order. Find AC if AE = x+50 and CE = x+32.

goldenfox [79]

If AE is x+50, then the whole thing must be x=50.
if a portion of that, CE, is x+32, then the rest of it, AC, must be x+18.
Because no matter what X is, 32+18=50.

5 0

3 years ago

Read 2 more answers

Car travels 100 m in 5 seconds. What is the speed the car?

weqwewe [10]

How you do this is using the formula speed = distance/time. So this is 100/5 which is 20 meters a second. Using the conversion factor (can google "20 meters per second is how many mile") 20 meters a second = 44.7 miles per hour.

In conclusion, the answer you're looking for is D. 44.7 miles per hour.

4 0

3 years ago

Read 2 more answers