All categories

3 years ago

Is -6.75 a rational or irrational number?

1 answer:

5 0

The number -6.75 is rational if it is an integer or decimal. -6.75 is a decimal, so -6.75 is rational, not irrational.

ANSWER: rational

You might be interested in

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So

pshichka [43]

Answer:

There is a 32.22% probability that at least 3 flights arrive late.

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrives on time, or it arrives late. This means that we can solve this problem using binomial probability concepts.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

In this problem, we have that:

There are 10 flights, so $n = 10$ .

A success in this case is a flight being late. 80% of its flights arriving on time, so 100%-80% = 20% arrive late. This means that $\pi = 0.2$ .

(a) Find the probability that at least 3 flights arrive late.

Either less than 3 flights arrive late, or at least 3 arrive late. The sum of these probabilities is decimal 1. This means that:

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

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

In which

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

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778$

Finally

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222$

There is a 32.22% probability that at least 3 flights arrive late.

3 0

3 years ago

Camryn practices the trumpet every 1 1 th 11 th 11, start superscript, start text, t, h, end text, end superscript day and the f

victus00 [196]

Answer:

33.

Step-by-step explanation:

Since they are both primes, the least common factor of 11 and 3 is 11 times 3, which is 33. Therefore, Camryn will practice the trumpet and flute on the same day 33 days in the future.

7 0

3 years ago

How would I solve 3+x=9?

kotegsom [21]

Answer:

x=6

Step-by-step explanation:

3+x=9

-3 -3

x=6

5 0

3 years ago

Read 2 more answers

-x+1=0<br><br>please let me know<br>sovle for x

Vlada [557]

Subtract 1 from +1 and 0 and then divide the negative from x and -1 which gives u with x=1

6 0

3 years ago

Read 2 more answers

URGENT!! WILL MARK BRAINLIEST IF CORRECT!!!

kow [346]

Answer:

Story 2 because it is talking about how much they spend. ANOTHER HINT: That equation has all the numbers in story 2. They key is to look at how the problem is set up.

6 0

3 years ago