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lara [203]
2 years ago
15

Victor has been wrongfully accused of helping a gorilla escape from the zoo. The probabilities of the court rulings are as follo

ws:
\text{P(Guilty}) = 0.25P(Guilty)=0.25start text, P, left parenthesis, G, u, i, l, t, y, end text, right parenthesis, equals, 0, point, 25
\text{P(Innocent}) = 55\%P(Innocent)=55%start text, P, left parenthesis, I, n, n, o, c, e, n, t, end text, right parenthesis, equals, 55, percent
\text{P(Retrial}) = \dfrac15P(Retrial)=
5
1
​
Mathematics
1 answer:
timurjin [86]2 years ago
7 0

Answer:

Retrial, Guilty, and Innocent

Step-by-step explanation:

Khan Academy

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Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p
Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

cost_1(x) = 0.5*x

For the second option we have:

cost_2(x) = 5000 + 0.1*x

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

cost_1(60000) = 0.5*60000 = 30000

cost_2(60000) = 5000 + 60000*0.1 = 11000

The second option will cost her less than the first one.

7 0
3 years ago
Let us analyze the following setting. You are given a circle of unit circumference. You pickkpoints on the circle independently
garik1379 [7]

Answer:

We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

\small \sum_{i = 1}^{k} L_i= 2\pi

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.

we get :

 \small \sum_{i = 1}^{k} C_i.l = 2\pi

where C(i) is a constant coefficient obviously between 0 and 1.

\small \sum_{i = 1}^{k} C_i= 2\pi/l

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]

So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.

We already know the sum so it is easy to compute the average :

\small L_{Exp} = \frac{2\pi}{k}

7 0
2 years ago
Help me plz<br> thank u!
viktelen [127]

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

6 0
3 years ago
I need the answer quick pls!!!
Eddi Din [679]
I don’t know sorry
I I don’t know sorry
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3 years ago
What is the slope of the line shown in the graph?
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Slope of the line will be -3/2
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2 years ago
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