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babunello [35]
3 years ago
14

Which statements about the diagram are true? Select three

Mathematics
2 answers:
stepan [7]3 years ago
8 0

Answer : The correct options are:

DE + EF > DF

5 < DF < 13

Δ DEF is a scalene triangle.

Step-by-step explanation :

As we know that there are three types of triangle.

(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.

(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.

(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.

Now we have to determine the length DF.

using Pythagoras theorem:

(Hypotenus)^2=(Perpendicular)^2+(Base)^2

(9)^2=(Perpendicular)^2+(4)^2

81=(Perpendicular)^2+16

(Perpendicular)^2=81-16

(Perpendicular)^2=65

Perpendicular=8.06

The length DF = 8.06 unit

So, we can say that:

DE + EF > DF

Hence, from the given options we conclude that, the correct options are:

DE + EF > DF

5 < DF < 13

Δ DEF is a scalene triangle.

Kamila [148]3 years ago
3 0

Answer:

lets keep it simple :)

Step-by-step explanation:

1.

3.

5.

are the answers for edi

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a) E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

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Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

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Solution to the problem

Part a

We have the following distribution function:

Y        0         1         2       3

P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

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Step-by-step explanation:

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