Let p be the probability of success, p = 0.4.
Pr[2 success] = nC2 * p^2 * (1-p)^3 = 0.346
Pr[3 success] = nC3 * p^3 * (1-p)^2 = 0.230
Pr[4 success] = nC4 * p^4 * (1-p)^1 = 0.077
So, the probability of getting 2, 3, or 4 success, would be 0.356 + 0.230 + 0.077 = 0.663, alternatively, 66.3%.
Answer:
A. 27 degrees, 63 degrees, 90 degrees.
Step-by-step explanation:
Let the angle of the triangle be x
<u>Given the following data;</u>
3 : 7 : 10 = 3x : 7x : 10x
We know that the sum of the sides of a triangle is equal to 180 degrees.
3x + 7x + 10x = 180
20x = 180
x = 180/20
x = 9
<u><em>For the first side;</em></u>
3x = 3 × 9 = 27°
<em><u>For the second side;</u></em>
7x = 7 × 9 = 63°
<em><u>For the third side;</u></em>
10x = 10 × 9 = 90°
Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.
Answer:
The probability of successful long hit is greater than 0.7083
Step-by-step explanation:
Solution
The expected value for long hit is given below
P (successful hit) * 4.2 + P (Unsuccessful hit) *5.4
so,
= P * 4.2 + (1-p) * 5.4
= 5.4 - 1.2p
Now,
If the expected value of long hit is less than that of the short it
Then,
5.4 - 1.2p <4.55
P> (5.4 - 4.55)/1.2
P> 0.7083
Therefore the probability of successful long hit is greater than 0.7083
Note:
Due to my research and findings to this example, the complete question for is attached below, i solved or Question 2(d) only
You add -125 by its opposite which is 125 so 2x(-125+125)=400+125
2x=525
You then divide both sides by 2 and you get
X=262.5
Answer:
<em>2(x - 1) - 1 = 3(x + 1) - 6 - x</em>
<em>There are infinitely many solutions.</em>
Step-by-step explanation:
<u>Equations</u>
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
