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Alex_Xolod [135]
3 years ago
11

Please please help!!!! According to the probability distribution below, what is the expected value of X? X 0 1 2 3 4 5 P(X) 0.3

0.2 0.16 0.2 0.04 0.1 A.) The expected value is 0.1 B.) The expected value is 5 C.) The expected value is 2.5 D.) The expected value is 1.78
Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

D.) The expected value is 1.78

Step-by-step explanation:

The expected value of a probability distribution is evaluated using the formula.

Expected Value, E(X)=\sum^{n}_{i=1}x_iP(x_i)

Therefore, from the given probability distribution, we have:

E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)

E(X)=1.78

The Expected value of X is 1.78.

The correct option is D.

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IrinaVladis [17]

\Delta KLJ\sim\DeltaNPM (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

\dfrac{4x-4}{20}=\dfrac{30}{25}    cross multiply

25(4x-4)=(20)(30)    use distributive property

(25)(4x)+(25)(4)=600\\\\100x+100=600    subtract 100 from both sides

100x=500     divide both sides by 100

x=5

--------------------------------------------------------------------------------------------

\Delta PQR\cong\Delta STU (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3

The perimeter of △PQR:

P=4+6+3y-2=8+3y

Substitute the value of y to the expression:

P=8+3(3)=8+9=17\ ft

7 0
3 years ago
Nancy has a big chocolate bar shaped like a rectangular prism. It is 15 centimeters long, 14 centimeters wide, and 2 centimeters
Leya [2.2K]

Answer: 420 cm^{3}

Step-by-step explanation:

The volume V of a rectangular prism is given by:

V=(length)(width)(thickness)

If the chocolate bar has the following dimensions:

length=15 cm

width=14 cm

thickness=2 cm

Its volume is:

V=(15 cm)(14 cm)(2 cm)

V=420 cm^{3}

4 0
3 years ago
Can you guys solve 2 through 4? thanks, worth 40 points​
7nadin3 [17]
4- adding because it’s the opposite
5 0
3 years ago
Read 2 more answers
Evaluate the expression m÷n for m=2 and n=14.
Sever21 [200]

Answer:

1/7

Step-by-step explanation:

Plug in 2 for m, and 14 for n in the expression:

m/n = 2/14

Simplify. Factor out common factors from both the numerator and denominator:

(2/14)/(2/2) = 1/7

1/7 is your answer.

~

3 0
3 years ago
Read 2 more answers
Diagram 2 shows a piece of rectangular card in grey colour
Ilya [14]

Solution:

we have given the length of the rectangular card-

x + 5  \: cm

and, width-

7 \: cm

now, the area of the card will be- length×width.

so, we have-

(x + 5) \times 7 \: cm^{2}  \\ 7x + 35 \: cm^{2}

we also have given the length of ribbon-

7 \: cm

and, width-

y \: cm

so, area of the ribbon is-

length×width

7 \times y \: cm^{2}  \\ 7y \: cm^{2}

now the area of shaded gray region will be-

7x + 35 - 7y

Hence, the required expression would the above expression.

6 0
2 years ago
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