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natima [27]
3 years ago
13

1) A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

The width is 24 inches and the length is 120 inches.

Step-by-step explanation:

Let x represent the width of the carpet

The length can be represented by x + 96

Create an equation:

x + x + x + 96 + x + 96 = 288

Add like terms and solve for x:

4x + 192 = 288

4x = 96

x = 24

So, the width is 24 inches. Plug this into x + 96 to find the length:

x + 96

24 + 96

= 120

So, the width is 24 inches and the length is 120 inches.

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George bought 5 and 3/4 dozen muffins. How many muffins does he have?
DanielleElmas [232]
A dozen is 12


multiply 5 * 12 = 60
multiply (3/4) * 12 = 9
Then add together
60 + 9 = 69
6 0
2 years ago
Read 2 more answers
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If
Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then  

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition  

<em>P(A | B) =  P(A∩B)/P(B). </em>

Since  

P(A∩B) = 0, then P(A | B) = 0

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

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

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?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

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

If A and B are not empty events which are mutually exclusive, they can never be independent.

6 0
3 years ago
Help me again? This is my test
HACTEHA [7]

Answer:

Estimate: 7

Actual: 6.63 (>)

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions!

                                              -KaraYeaton18

3 0
2 years ago
mary is eighteen years older than her son. she was three times as old as he was one year ago.How old are they now?
zimovet [89]

Answer:

<h2>The son is 10 Mary is 28</h2>

Step-by-step explanation:

I hope dis helps

4 0
3 years ago
What is the slope of the line through (3, 2) and (-3, 4)?​
Angelina_Jolie [31]

Answer:

Slope =-1/3

Step-by-step explanation:

(3,2)..... x1 =3, y1=2

(-3,4).... x2=-3, y2 =4

Slope=(y2-y1) /(x2-x1)

Slope=(4-2) /(-3-3)

Slope =2/(-6)

Slope=-1/3

7 0
3 years ago
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