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3 years ago

Find the roots. 2x 2 + 7x - 15 =0

Mathematics

2 answers:

sdas [7]3 years ago

7 0

Answer:

-5, 3/2

Step-by-step explanation:

Reika [66]3 years ago

4 0

So you always want to pull out the gcf first but since there isn't one, we can move on.
so we can make an acb chart which is multiplying the a value and the c value and find factors that of that product that will equal the b value.
a value is 2
c value is -15
b value is 7
-30 factors to equal 7 = 10, -3
10 - 3 = 7
so the factors 10 and -3 work.
so now you make 2 separate parenthesis with one of the factors and one x. and it should be set equal to 0.
(x+10)(x-3) = 0
now solve for x in each separate parenthesis.
x = -10
x = 3
those r the roots
hope this helps

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And for this case we want to find this probability:

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And we can use the probability mass function and we got:

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Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

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