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DENIUS [597]
2 years ago
9

Can someone please give ,e a good explanation of associative property and examples please​

Mathematics
1 answer:
Bess [88]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, (8*4)*5=8*(4*5) if you're doing multiplication, or (8+4)+5=8+(4+5), if you're doing addition.

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Consider the original triangle and its enlargement.
Trava [24]

Answer:

I believe the scale factor is 2.

7 0
2 years ago
Read 2 more answers
Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
I need help please i
Rashid [163]

Answer:

5

Step-by-step explanation:

the answer is somewhere by 5

4 0
2 years ago
Read 2 more answers
A sample of 900900 computer chips revealed that 66f% of the chips fail in the first 10001000 hours of their use. The company's p
Alik [6]

Answer:

No, there is not enough evidence at the 0.02 level to support the manager's claim.

Step-by-step explanation:

We are given that the company's promotional literature states that 68% of the chips fail in the first 1000 hours of their use. Also, a sample of 900 computer chips revealed that 66% of the chips fail in the first 1000 hours of their use.

And the quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage, i.e;

Null Hypothesis, H_0 : p = 0.68 {means that the actual percentage that fail is same as the stated percentage}

Alternate Hypothesis, H_1 : p  0.68 {means that the actual percentage that fail is different from the stated percentage}

The test statistics we will use here is;

     T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual percentage of chip fail = 0.68

            \hat p = percentage of chip failed in a sample of 900 chips = 0.66

           n = sample size = 900

So, Test statistics = \frac{0.66 -0.68}{\sqrt{\frac{0.66(1- 0.66)}{900} } }

                             = -1.267

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have sufficient evidence to accept null hypothesis.

Therefore, we conclude that the actual percentage that fail is same as the stated percentage and the manager's claim is not supported.

5 0
3 years ago
Which of these professionals most directly uses geometry? Choose the best answer.
Schach [20]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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