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3 years ago

L=54 w=10 what is the area

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

8 0

54 times 10 is 540, which is your area.

irga5000 [103]3 years ago

7 0

Hello from MrBillDoesMath!

Answer: 540

Discussion:

Assuming that l and w refer to the length and width, respectively, of a rectangle, the area of the rectangle is the product of the length and width (A = l * w).

Thank you,

MrB

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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

4 years ago

Determine if the following is Rational, Integer, Whole, Natural, or Irrational. CHECK ALL THAT APPLY! 30/3 *

Sever21 [200]

Answer:

30/3 is a Natural because you have to divide 30/3 to get 10

Step-by-step explanation:

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4 years ago

To complete a job a crew of 8 people needs 18 days. How long will the same job be finished if the crew will have 9 people?

zavuch27 [327]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Evaluate the expression 11C4.

kicyunya [14]

The correct answer is: 330

Explanation:

The formula for combination is given as follows:

$^nC_r = \frac{n!}{r! (n-r)!}$ --- (1)

Where n = 11

r = 4

Plug in the values in equation (1) and calculate:

$^nC_r = \frac{n!}{r! (n-r)!} \\ ^{11}C_{4} = \frac{11!}{4! (11-4)!} \\ ^{11}C_{4} = \frac{11*10*9*8*(7!)}{4! (7)!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4*3*2*1} \\ ^{11}C_{4} = 330 \\$

Hence the correct answer is 330.

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3 years ago

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Answer:

http://www.youareanidiotreborn.org/

Step-by-step explanation:

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3 years ago