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3 years ago

A carnival charges a $5 admission fee plus $1 per ride. What does it cost to ride 6 rides, including the admission fee?

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

7 0

Answer:

the answer is 11 dollars

Step-by-step explanation:

Mila [183]3 years ago

7 0

Answer:

11 dollars

Step-by-step explanation:

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Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of th

Anton [14]

Answer:

a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) 0.064 = 6.4% probability that 7 of them are discovered.

Step-by-step explanation:

For itens a and b, we use conditional probability.

For item c, we use the binomial distribution along with the conditional probability.

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.

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.

a) If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator

Event B: Not located.

Probability of having an emergency locator:

66% of 72%(Are discovered).

20% of 100 - 72 = 28%(not discovered). So

$P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312$

Probability of having an emergency locator and not being discovered:

20% of 28%. So

$P(A cap B) = 0.2*0.28 = 0.056$

Probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105$

0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) If it does not have an emergency locator, what is the probability that it will be discovered?

Probability of not having an emergency locator:

0.5312 of having. So

$P(A) = 1 - 0.5312 = 0.4688$

Probability of not having an emergency locator and being discovered:

34% of 72%. So

$P(A \cap B) = 0.34*0.72 = 0.2448$

Probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522$

0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

p is the probability of being discovered with the emergency recorder:

0.5312 probability of having the emergency recorder.

Probability of having the emergency recorder and being located:

66% of 72%. So

$P(A \cap B) = 0.66*0.72 = 0.4752$

Probability of being discovered, given that it has the emergency recorder:

$p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946$

This question asks for P(X = 7) when $n = 10$ . So

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

$P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064$

0.064 = 6.4% probability that 7 of them are discovered.

8 0

3 years ago

Can u help me with this problem pls

Luden [163]

Answer: x=8/27 +1/27 •log(downward 5)(6)

6 0

3 years ago

Plzzzzzzzzzzzs help me

d1i1m1o1n [39]

Answer:

Please post a picture with higher quality, I cannot read this one

Step-by-step explanation:

4 0

2 years ago

Please help ill give brainiest answer!

eduard

1. First of all, this is a isosceles triangle, meaning measurement I=58°, which makes it way easier to find T.

$58 + 58 + x = 180$

$116 + x = 180$

$x = 64$

1. m{t}°=64 m{I}°=58

2. This one is easy because algebra is the key.

$100 - x + 30 + 4x + 7x = 180$

Add like-terms.

$130 +10x = 180$

$10x = 50$

$\frac{50}{10} = x = 5$

x=5

The only thing that confuses me is the y. Is it 7xy, y as a side, or what? Feel free to reply

8 0

3 years ago

The function (f)x = 14.5-0.25x

marin [14]

Answer:

the answer i got is X=58/5

Step-by-step explanation:

hope this helps

8 0

3 years ago