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Scilla [17]
3 years ago
5

6x 2 - 3x - 30 mathematics?

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

<u>Answer:</u>

3 (2x-5)(x+2)

<u>Step-by-step explanation:</u>

We are given the following quadratic expression:

6x^2-3x-30

and we are to solve this by factorizing.

For that, we will take 3 as a common and factorize the rest of the expression.

6x^2-3x-30

3(2x^2-x-10)

Findinf factors of (2x^2-x-10) such that when multiplied they give a product of -20 and when added they give a result of -1:

3(2x^2+4x-5x-10)\\\\3((2x(x+2)-5(x+2))\\\\3(2x-5)(x+2)

Therefore, the factors of the given expression 6x^2-3x-30 are 3(2x-5)(x+2).

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4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, a
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<u>Here is the sample space, its size is 4*3 = 12:</u>

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[dilated area of circle]=[original area of circle]*[scale factor]²
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4) Dan Ariely and colleagues have conducted some extremely interesting studies on cheating (see, for example Mazar, Amir, &amp;
lianna [129]

I've attached the complete question.

Answer:

Only participant 1 is not cheating while the rest are cheating.

Because only participant 1 has a z-score that falls within the 95% confidence interval.

Step-by-step explanation:

We are given;

Mean; μ = 3.3

Standard deviation; s = 1

Participant 1: X = 4

Participant 2: X = 6

Participant 3: X = 7

Participant 4: X = 0

Z - score for participant 1:

z = (x - μ)/s

z = (4 - 3.3)/1

z = 0.7

Z-score for participant 2;

z = (6 - 3.3)/1

z = 2.7

Z-score for participant 3;

z = (7 - 3.3)/1

z = 3.7

Z-score for participant 4;

z = (0 - 3.3)/1

z = -3.3

Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96

Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.

Thus, only participant 1 is not cheating while the rest are cheating.

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3 years ago
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