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3 years ago

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Mathematics

1 answer:

stepan [7]3 years ago

6 0

Answer:

The last answer choice: Phillip will lose (1/2) of his points in his next crash.

Step-by-step explanation:

For every crash, Phillips points will continue to reduce by (1/2) the amount that he currently has. That means after 1 crash, he will 5,000 points left. After 2 crashes, he will have 2,500 points left. After 3 crashes, he will have 1250 points left. After 4 crashes, he will have 625 points left, and so on like that.

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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

Write the equation of a line that goes through the points (1,-1) and (3,2).

babunello [35]

Answer:

y=3/2x-5/2

Step-by-step explanation:

1.find the slope

y2-y2/x2-x1

2-(-1)/3-1

2+1/3-1

3/2 slope (m)

2.y-y1=m(x-x1)

y-(-1)=3/2(x-1)

y+1=3/2x-3/2

y=3/2x-3/2-1

y=3/2x-5/2

6 0

3 years ago

What is 8 divided by 1544 ? <br> PlZ i need help !!!

bija089 [108]

Its 153. you can’t exactly divide 8 by 1544. if you wanted it to be a whole number it would be 1544 by 8. which is 152

8 0

3 years ago

I have the answer but can someone explain how to solve this problem? Thanks!

uranmaximum [27]

Answer:

$32

Step-by-step explanation:

27 was how much money Taylor had after buying a salad that was worth 5 dollars.

Money before buying the salad is 27+5 = 32.

4 0

2 years ago

a tree casts a shadow that is 20 ft long. the angle of elevation of the sun is 29°. how tall is the tree?

mars1129 [50]

You can use the trig ratios. Draw a diagram to see which one is appropriate.
Tan would be used.
Tan29=x/20
20Tan29=x
Put this into your calculator and see what you get

3 0

3 years ago