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2 years ago

Convert: 105.6 Liters/hr = _______ Liters/min

Mathematics

1 answer:

shtirl [24]2 years ago

5 0

Answer:

1.76 liters/min

Step-by-step explanation:

while 105.6 liters is used in one hour, one hour is 60 min so divide 105.6 by 60 and you get 1.76 in one minute

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2 years ago

An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probabili

victus00 [196]

Answer:

0.79

Step-by-step explanation:

Here,

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability

P(X∩Y)=0.65

And

P(X)=0.82

We have to find P((Y│X)

We know that

P((Y│X)=P(X∩Y)/P(X) )

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=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79

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2 years ago

Enter the correct answer in the box.

Mekhanik [1.2K]

The equation in the vertex form of g(x) is:

$g(x) = (x + 1)^2 - 38$

<h3>How to get the equation of function g?</h3>

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

$f(x) = x^2 - 4x - 32$

The vertex is at:

$x = -(-4)/2*1 = 2$

The y-value of the vertex is:

$f(2) = 2^2 - 4*2 - 32 = -36$

Then the vertex form of f(x) is:

$f(x) = (x - 2)^2 - 36$

If we move this vertex 2 units below, and 3 units to the left, then we have:

$g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38$

That is the equation for g(x) in vertex form.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

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