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irina [24]
3 years ago
5

Based on the data in the two-way table, which statement is true?

Mathematics
2 answers:
Anarel [89]3 years ago
7 0
He is correct, the answer is B.
Pie3 years ago
5 0

Answer:

B. P(weight is 120 lb.|consumes 2,000−2,500 calories) ≠ P(weight is 120 lb.)

Step-by-step explanation:

The probability that a person consumes between 1000 and 1500 calories given that the person weighs 165 is found by first finding the number of people weighing 165 that consume between 1000 and 1500 calories.  There are 15 people in that category.  The probability will be out of the total number of people that weigh 165; this is 117.  This makes the probability 15/117 = 0.128.

The probability that someone consumes between 1000 and 1500 calories is given by first finding the number of people that consume that many calories.  This number is 140.  The probability will be out of the total number of people; this is 500.  This makes the probability 140/500 = 0.28.

Since these are not the same, A is not true.

The probability that someone weighs 120 given that they consume between 2000 and 2500 calories is found by first finding the number of people weighing 120 that consume between 2000 and 2500 calories.  There are 10 people in that category.  The probability will be out of the total number of people that consume between 2000 and 2500 calories; this is 110.  This makes the probability 10/110 = 0.09.

The probability that someone weighs 120 pounds is given by first finding the number of people that weigh 120 pounds.  This is 180.  The probability will be out of the total number of people; this is 500.  This makes the probability 180/500 = 0.36.

Since these are not the same, B is true.

The probability that someone weighs 165 given that they consume between 1000 and 2000 calories is found by first finding the number of people weighing 165 that consume between 1000 and 2000 calories.  There are 15+27 = 42 people in that category.  The probability will be out of the total number of people that consume between 1000 and 2000 calories; this is 140+250 = 390.  This makes the probability 42/390 = 0.108.

The probability that someone weighs 165 pounds is given by first finding the number of people that weigh 165 pounds.  This is 117.  The probability will be out of the total number of people; this is 500.  This makes the probability 117/500 = 0.234.

Since these are not the same, C is not true.

The probability that someone weighs 145 given that they consume between 1000 and 2000 calories is found by first finding the number of people weighing 145 that consume between 1000 and 2000 calories.  There are 35+143 = 178 people in that category.  The probability will be out of the total number of people that consume between 1000 and 2000 calories; this is 140+250 = 390.  This makes the probability 178/390 = 0.456.

The probability that someone consumes between 1000 and 2000 calories is given by first finding the number of people that consume between 1000 and 2000 calories.  This is 140+250 = 390.  The probability will be out of the total number of people; this is 500.  This makes the probability 390/500 = 0.78.

Since these are not the same, D is not true.

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Write the resultant of the two vectors as an ordered pair. –6 5 and 6 –5
RideAnS [48]

Answer:

Resultant vector of two vectors is (0, 0).

Step-by-step explanation:

in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.

We can represent these vectors in the form of

\vec{A}=-6\hat{x}+5\hat{y}

and \vec{A'}=6\hat{x}+(-5)\hat{y}

Now the resultant of these vectors will be = A + A'

A + A' = \vec{A}=-6\hat{x}+5\hat{y} + \vec{A'}=6\hat{x}+(-5)\hat{y}

So the resultant vector = (0 + 0)

Therefore the resultant will be (0, 0)

8 0
3 years ago
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beks73 [17]

Answer:

2nd graph (image)

Step-by-step explanation:

The function to graph is:

f(x)=\frac{4}{x}

It follows the general pattern of the function:  f(x)=\frac{1}{x}, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).

The answer is either 1st, or 2nd graph.

Now, we simply can check a point in both.

lets take x = 4, so the function would be:

f(4) = 4/4 = 1

Hence, point is:

(4,1)

The first graph doesn't go through this point. The second graph does.

hence, we can successfully choose the 2nd graph as our answer.

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Hunter-Best [27]

Answer:

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Step-by-step explanation:

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Need help please! A=?
zubka84 [21]

Answer:

  m∠A ≈ 103°

Step-by-step explanation:

Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...

  sin(A)/a = sin(C)/c

  A = arcsin(a/c·sin(C)) = arcsin(26/6·sin(13°)) = arcsin(0.974788)

  A = 77.1° or 102.9°

The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:

  m∠A ≈ 103°

__

<em>Additional comment</em>

The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.

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