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3 years ago

1

Mathematics

1 answer:

meriva3 years ago

5 0

Answer:

491 red apples

Step-by-step explanation:

1/6 are apples

then 5/6 are oranges

red apples = green apples + 291

there are 3455 oranges

total amount of fruits is :

3455 / (5/6) = (3455 x 6)/5 = 4146

4146 - 3455 = 691 apples ( total )

so red + green = 691

and red - green = 291

add the two equations

red + red + green - green = 691 + 291

2red = 982

red = 982 / 2 = 491 red apples

green = 691 - 491 = 200 green apples

so red is 291 more than green

then red = 491

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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 someone help me plz I dont know if its right

Sphinxa [80]

Answer:

10. 20

11. 20

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Any expression with a __________ exponent is equal to ________.

Elza [17]

1st one: zero
2nd one: one

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4 years ago

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Solve the following...<br>6x - 5 = -9x -9

sergiy2304 [10]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:x = -\cfrac{4}{15}$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9$

[ add 9x and 5 on both sides ]

$\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5$

$\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5$

$\qquad \tt \rightarrow \: 15x = - 4$

$\qquad \tt \rightarrow \: x = - \cfrac{4}{15}$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

7 0

2 years ago

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On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following i

dusya [7]

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 $\frac{1}{3}$ feet = $\frac{256}{3}$ × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

6 0

3 years ago