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iris [78.8K]
3 years ago
14

In samanthas house 1/2 of the total floor is carpeted. Of the carpeted floor 3/4 is covered in red carpet. What fraction of the

total floor is covered by red carpeting?
Mathematics
2 answers:
den301095 [7]3 years ago
3 0

Answer:

3/8 of the total floor is covered by red carpeting

Step-by-step explanation:

omeli [17]3 years ago
3 0

Answer:

3/8

Step-by-step explanation:

1/2 * 3/4 would be 3/8 so here you go!

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Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter
sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

P(A\cap B)=0

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, P(A\cap B)=0.

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, P(A\cap B)=P(A)\times P(B).

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that P(A\cap B)=0.

Now compute the value of P(A)\times P(B) as follows:

               P(A)\times P(B)=0.30\times 0.40=0.12\neq 0

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0
3 years ago
Marissa thinks that there could be a pattern between the scale factor and perimeter of an image and its pre-image
Alla [95]

Answer:

You should repent God is coming soon

5 0
3 years ago
What is the percent increase if your salary went from $85 to $100 per week? Round your answer to the nearest percent, if necessa
slavikrds [6]
% increase  = 100 - 85
                        ---------     *  100
                          85

                  =   17.65 
                  = 18 % to nearest per cent
3 0
3 years ago
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CAN SOMEBODY HELP ME PLEASE
Natasha_Volkova [10]

Answer:

  • vertex (3, -1)
  • y-intercept: (0, 8)
  • x-intercepts: (2, 0), (4, 0)

Step-by-step explanation:

You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.

__

<h3>Vertex</h3>

The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).

<h3>Y-intercept</h3>

The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).

<h3>X-intercepts</h3>

The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).

__

<em>Additional comment</em>

The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.

5 0
2 years ago
12.5% of what number 24?
Valentin [98]

Answer:

192

Step-by-step explanation:

12.5% is 24.

So 100% will be (100/12.5) x 24 = 192.

Done.

6 0
2 years ago
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