Answer:
a) Expected amount of the gambler's win = $0.209
b) SD = 2.26
c)P (X >1) = P(z >0.35) = 0.36317
Step-by-step explanation:
The probability of winning, p = 12/38 =6/19
Probability of losing, q = 1 -p = 1-6/19
q = 13/19
Win amount = $5
Loss amount = $2
a) Expected total amount of win = ((6/19)*5) - ((13/19)*2)
Expected total amount of win = 1.579 - 1.369
Expected amount of win, E(X) = $0.209
b) Standard Deviation for the total amount of the gambler's win

E(X²) = (6/19)*5² - (13/19)*2²
E(X²) = 5.158

SD = 2.26
c) probability that, in total, the gambler wins at least $1.
P(X >1)

μ = E(x) = 0.209
z = (1-0.209)/2.26
z = 0.35
P( X >1) = P(z >0.35)
P(z >0.35) = 1 - P(z <0.35)
P(z >0.35) = 1 - 0.63683
P(z >0.35) = 0.36317
Answer:
(B)
Step-by-step explanation:
It is given that: From ΔONP and ΔMLP,
(By basic proportionality theorem)
∠MPL=LPM(Common)
Therefore, ΔONP is similar to ΔMLP by SAS similarity postulate.
Also, From ΔONP and ΔKPJ,
(By basic proportionality theorem)
∠OPN=KPJ(Common)
therefore, ΔONP is similar to ΔKPJ by SAS similarity postulate.
Now, since ΔONP is similar to ΔMLP by SAS similarity postulate and ΔONP is similar to ΔPJK by SAS similarity postulate, therefore ΔMLP is similar to ΔPJK by SAS similarity postulate.
Thus, all the three center triangles are similar by SSS similarity postulate.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em />
<em />
<em />
<u>Step 2: Solve for </u><em><u>h</u></em>
- [Multiplication Property of Equality] Multiply 3 on both sides:

- [Division Property of Equality] Divide lw on both sides:

Answer:
13,363.84 square cm
Step-by-step explanation:
For this question,
The circle table has a radius of 56 cm and the height of the edge of the cloth is 10cm(height) below the tabletop, which is a rectangle
We need to find out the area of a circle, Then the area of the rectangle.
Area of circle FORMULA= πr^2 | Area of rectangle FORMULA = l * h
πr^2
3.14 * 56 * 56 = area of circle = 9,847.04
[(2*3.14*56)Perimeter of circle which is also length of rectangle] * 10 = area of rectangle = 3516.8
9,847.04 + 3516.8 = 13,363.84
1 2/4 is your answer to ur question