Answer:
p(4 successes) ≈ 7.7%
Step-by-step explanation:
p(k successes in n trials) = C(n,k)·p^k·(1-p)^(n-k)
You have n=5, k=4, p=0.4, so the probability is ...
p(4 successes) = C(5,4)·(0.4)^4·(1 -0.4)^1 = 5·0.4^4·0.6 = 0.0768
p(4 successes) ≈ 7.7%
Answer:
54
Step-by-step explanation:
Multiply:
<em>37x37=72</em>
<em>Subtract:</em>
<em>180-72=108</em>
<em>Divide:</em>
<em>108/2=54</em>
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
Step-by-step explanation:
The given is,
Two points are (2,-2) and (0,-9)
Step:1
By graphical method,
For two points (2,-2) and (0,-9)
First point (2,-2)
The values of x=2 and y=-9 noted in the graph
Second point (0,-9)
The values of x=0 and y=-9 noted in the graph
Now join the two points, measure the distance between the two points,
Distance between points are 7.3 units.
( OR )
Step:1
By formula method,
Distance = 
Where,
( 2,-2) are (
)
(0,-9) are (
)
From the values,
= 
= 
= 
= 
= 7.280
≅ 7.3
Distance = 7.3
Result:
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==
Answer:
(x + 1)² = (2x)²
(1 + 1)² = (2(1))²
2² = 2²
4 = 4
(-1 + 1)² = (2(-13))²
(-12)² = (-26)²
Not true
x = -13 satisfies neither