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tresset_1 [31]
3 years ago
6

A convex figure has three sides what is the sum of its exterior angles

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

A convex figure with three sides is triangle. The sum of the measures of all interior angles of the triangle is 180°.

Let \alpha, \beta, \gamma be interior angles of this triangle. Then

\alpha+\beta+\gamma=180^{\circ}.

Find exterior angles of this triangle:

1. 180^{\circ}-\alpha is exterior angle adjacent to the interior angle \alpha.

2. 180^{\circ}-\beta is exterior angle adjacent to the interior angle \beta.

3. 180^{\circ}-\gamma is exterior angle adjacent to the interior angle \gamma.

The sum of the measures of all exterior angles is

180^{\circ}-\alpha+180^{\circ}-\beta+180^{\circ}-\gamma=540^{\circ}-(\alpha+\beta+\gamma)=540^{\circ}-180^{\circ}=360^{\circ}.

Answer: 360°

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labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

a.

    E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

    To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

    i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

   ii. E(X) = 1/p , according to the geometric model.

              = 1/.4 = 2.5.

       We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

c.

    i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

    ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

        P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

                    = 45 (.4^2)(.6^10-2) = .0016

        As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

        Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0
3 years ago
Algebra please help(no links)
lesya [120]

Answer:

i can't help with this specific queshtion  but i do have tow say to things 1. when you post something like this make sure to crop out anything that people can see your info or anything like block out the tabs someone could see that and use it for evil be careful with this, second i do aleks to.

 

Step-by-step explanation:

im sorry i could not help you in the way you wanted but i hop you will be safe now!

dont make me brainlyest i dont deserve it i did not give you you answer

Have a nice day!

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Alinara [238K]
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There are 5 C3 possible ways to choose 3 mysteries to read.
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