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natulia [17]
3 years ago
9

The perimeter of the square is 4(x+3), and the perimeter of the triangle is 3(3x-1). Because the perimeters are the same , 4(x+3

) = 3(3x+—1). Try substituting 3 for x in the equation. Do you get a true statement? Explain.
Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

When you put in a 3 for x, your equation becomes 4(3+3)=3(3(3)-1). This can be simplified to 4(6) = 3(8) so 24 equals 24, which is true.

You might be interested in
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
How many times larger then 2x10² is 2x10⁸​
Brrunno [24]

Answer:

1,000,000 times larger

Step-by-step explanation:

2 x 10^{8} = 200,000,000

2 x 10^{2} = 200

200,000,000 divided by 200 is 1,000,000

It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.

10^{8} - 10^{2} = 10^{6

2 ÷ 2 = 1

Now solve:

1 x 10^{6 = 1,000,000

3 0
3 years ago
One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu
zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

8 0
3 years ago
WILL MARK BRAINLIST FOR ANSWER!!!!!!!!!!<br> |2 1/3 x+0.3|=3.5
Natalija [7]
THE ANSWER ISSSS


1.37142
6 0
3 years ago
Can some one help me is that correct ?​
Ilia_Sergeevich [38]

Answer:

i think it is..

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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