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2 years ago

6

Juan rolls a number cube 40 times. He rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a

3?
a 3/20
b 1/20
c 4120
d 2/20

1 answer:

kupik [55]2 years ago

6 0

The correct answer is A. 3/20

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Determine the value of c that will result in a perfect square trinomial. <br> w^2+6w+ c =130+c

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The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

Step-by-step explanation:

We need to determine the value of c that will result in a perfect square trinomial.

$w^2+6w+ c =130+c$

Perfect square trinomial are of form: $a^2+2ab+b^2=(a+b)^2$

Now, the equation given is:

$w^2+6w+ c =130+c$

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We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2

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$w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139$

So, The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

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