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2 years ago

11

a 12-ft-long ladder is leaning against a building. the ladder makes a 45 degree angle with the building. how far up the building

does the adder reach.

1 answer:

zhuklara [117]2 years ago

6 0

12 cos45degree=8.486 ft

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Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This 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.

No-show rate of 10%.

This means that $p = 0.1$

Four travelers who have made hotel reservations in this study.

This means that $n = 4$

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is $P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523$

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

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

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561$

$P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0

2 years ago

2 more and I’m done thank y’all so much sorry I’m dumb and in 8th grade LOL

kotegsom [21]

9. -5(4+6r)

-20-30r

-20-30(4)=-20-120=-140

10. -9-n/3

-9-9/3=-9-3=-12

answers: -140, -12

7 0

3 years ago

Read 2 more answers

-How mathematics helps in civil aviation?

Arturiano [62]

Answer: to know how to do bussiness

Step-by-step explanation:civil aviation has a lot of departments they dont work only in the air but they also work at the airport. they need math to do bussıness

7 0

3 years ago

a cash register has $1.04 in coins. all the coins are pennies and dimes.there are 24 pennies in the cash register. Which represe

VladimirAG [237]

3-1 finds for she did to is to is to to fix l Fick

8 0

3 years ago

Please someone help. Giving brainliest!!!!!! :)

irina [24]

Answer:

PLEASE BRAINLIEST

Step-by-step explanation:

400-2a =332

400-332 =2a

2a=68

a=34

8 0

3 years ago