<em>Answer:</em>
<em />
<em>x³ + x² - 6x = 0</em>
<em>x(x² + x - 6) = 0</em>
<em>x(x² + 3x - 2x - 6) = 0</em>
<em>x[x(x + 3) - 2(x + 3)] = 0</em>
<em>x(x - 2)(x + 3) = 0</em>
<em>x₁ = 0</em>
<em>x - 2 = 0 => x₂ = 2</em>
<em>x + 3 = 0 => x₃ = - 3</em>
Answer:
N = 14348907
Step-by-step explanation:
81^5 = 3486784401
3486784401/243 = 14348907
Double Check
3486784401 / 14348907=243
So N = 14348907.
Answer:
a) P(X =16 ) = 0.1853
b)
= 0.0684
Step-by-step explanation:
GIVEN DATA:
n = 16
p = 0.90
from relation given probabllity can be solve

a)

P(X =16 ) = 0.1853
b)
= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]
![= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]](https://tex.z-dn.net/?f=%3D%201%20-%20%5B%20%5E%7B16%7DC_%7B13%7D%20%2A%200.90%5E%7B13%7D%20%2A%20%281%20-%200.90%29%5E3%20%2B%5E%7B16%7DC_%7B14%7D%20%2A%200.90%5E%7B14%7D%20%2A%20%281%20-%200.90%29%5E2%20%2B%5E%7B16%7DC_%7B15%7D%20%2A%200.90%5E%7B15%7D%20%2A%20%281%20-%200.90%29%5E1%20%2B%5E%7B16%7DC_%7B16%7D%20%2A%200.90%5E%7B16%7D%20%2A%20%281%20-%200.90%29%5E0%20%5D)
= 0.0684
The two triangles are similar by SSA similarity. Option B is correct.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.
From the triangle ABC and DEC
The ratio of the sides is;

One angle c is common in the two triangles.
The two triangles are similar by SSA similarity.
Hence, option B is correct.
To learn more about the triangle, refer to:
brainly.com/question/2773823
#SPJ1