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nadezda [96]
3 years ago
11

Hacksaw’s Boats of St. Lucia takes tourists on a daily whale/dolphinwatch cruise. Their brochure claims an 80% chance of siting

a dolphinor a whale, and you can assume the sightings from day to day areindependent.(a) If you take the dolphin/whale watch cruise on two consecutivedays, what is the probability you see a dolphin or a whale onboth days?
Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

The probability you see a dolphin or a whale on both days is 0.64

Step-by-step explanation:

Consider the provided information.

It is given that the brochure claims an 80% chance of siting a dolphin or a whale.

The provided claims can be written as: 80% or 0.80

Let say first day you see a dolphin or a whale and same happen on the next day.

Thus, the probability is:

0.80 × 0.80 = 0.64

Probability of see them on both days is 0.64

Hence, the probability you see a dolphin or a whale on both days is 0.64

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otez555 [7]

You can try finding the roots of the given quadratic equation to get to the solution of the equation.

There are two solutions to the given quadratic equation

x = 0.202, x = 113.798

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is ax^2 + bx  +c = 0

Then its roots are given as:

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

<h3>How to find the solution to the given equation?</h3>

First we will convert it in the aforesaid standard form.

102x + 11 = (x-6)^2 - 2\\102x + 11 + 2 = x^2 + 36 - 12x\\0  = x^2 -114x + 23\\x^2  -114x + 23 = 0\\

Thus, we have

a = 1. b = -114, c = 23

Using the formula for getting the roots of a quadratic equation,

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{114 \pm \sqrt{114^2 - 92}}{2} \\\\ x = 0.202 (\text{used "-" sign})\\\\x = 113.798 ( used "+" sign})

Thus, there are two solutions to the given quadratic equation

x = 0.202, x = 113.798

Learn more here about quadratic equations here:

brainly.com/question/3358603

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3 years ago
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Step-by-step explanation:

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