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3 years ago

Find the solution of the equation x^2-4x-5=0

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

x=5 and x=-1

Step-by-step explanation:

We can factor this equation

x^2-4x-5=0

(x-5) (x+1) = 0

We can use the zero product property

(x-5) =0 and (x+1) =0

x=5 and x=-1

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Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi

Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

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$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}$

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$P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483$

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

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4 years ago

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Marizza181 [45]

Answer:

Step-by-step explanation:

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3 years ago

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We know that, in terms of radians and degrees, that an angle that turns through the entirety of a circle is 360 degrees. To find 1/3 of it, we just multiply by 1/3.

360(1/3)=120

Therefore, our answer is 120°.

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