What’s 45 divided by 2

meriva

The answer to this one is there is a 1/10 chance because there are ten balls and only one is a 0

8 0

4 years ago

Cory brings five 1-gallon jugs of juice to serve during parent night at his school.If the paper cups he is using for drinks can

ohaa [14]

Cory brings five 1-gallon jugs of juice.

5 jugs * 1 gallon per jug = 5 gallons of juice total

Knowing that the cups Cory is using to serve can hold 8 fluid ounces, we are asked to figure out how many cups Cory can serve.

1 gallon = 128 fluid ounces
5 gallons = x fluid ounces

Let's set up a proportional equation.

1/128 = 5/x

Now, we can use cross products to simplify and solve.

1 * x = 128 * 5

x = 640 fluid ounces.

Therefore, Cory has a total of 640 fluid ounces.

To find out how many cups he can serve, we need to divide the total amount of juice he has (640 oz) by the amount of juice in each cup (8 oz).

640 / 8 = 80

Thus, Cory can serve 80 cups of juice at parent night.

3 0

3 years ago

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

Did I get it correct?

VikaD [51]

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

7 0

3 years ago

Read 2 more answers

A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk acro

Valentin [98]

The distance further the friend walked is 0.41 miles.

<h3>How much farther did the friend walk?</h3>

The distance the friend walked can be determined by calculating the circumference of a semicircle.

Circumference of a semicircle = πr + 2r

r = 0.25 / 2 = 0.125mi

3.14 x 0.125 + 0.25 = 0.66 mi

Difference in the distance = 0.66 - 0.25 = 0.41 miles

To learn more about how to determine the circumference, please check: brainly.com/question/14351152

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7 0

2 years ago