0.45033504848
Explanation:
The binomial formula is given by
<span>nCk⋅<span>ρk</span><span><span>(1−ρ)</span><span>n−k</span></span></span> thus the result for x would be
<span>p<span>(x=2)</span>=<span>(<span><span>5!</span><span><span>(5−2!)</span>2!</span></span>)</span><span><span>(.4)</span>2</span><span><span>(1−.4)</span><span>5−2</span></span>=0.3456</span>
<span>p<span>(x=3)</span>=<span>(<span><span>5!</span><span><span>(5−3!)</span>3!</span></span>)</span><span><span>(.4)</span>3</span><span><span>(1−.4)</span><span>5−3</span></span>=0.13824</span>
<span>p<span>(x=4)</span>=<span>(<span><span>5!</span><span><span>(5−4!)</span>4!</span></span>)</span><span><span>(.4)</span>4</span><span><span>(1−.4)</span><span>5−4</span></span>=0.027648</span>
<span><span>p<span>(a∪b∪c)</span>=p<span>(a)</span>+p<span>(b)</span>+p<span>(c)</span>−p<span>(a)</span>⋅p<span>(b)</span>−p<span>(a)</span>⋅p<span>(c)</span>−p<span>(b)</span>⋅p<span>(c)</span></span><span>=.3456+.13824+.027648−.047775744−.0095551488−0.00382205952</span></span>
<span>p<span>(a∪b∪c)</span>=<span>0.45033504848</span></span>
-2(x+7)+3=19
-2x-14+3=19
-2x-11=19
-2x=8
x=4
Answer:
x² - 10x + 21
Explanation:
To answer this question, we will simply multiply each term from the first bracket by each term from the second and then combine like terms to get the final expression.
This can be done as follows:
(x - 3)(x - 7)
x(x) + x(-7) -3(x) -3(-7)
x² - 7x - 3x + 21
x² - 10x + 21
Hope this helps :)
Answer:
Angle 1 equals 90 degrees. Angle 2 equals 38 degrees.
Step-by-step explanation:
Angle 1 is at the cross of two perpendicular lines, making it 90 degrees. Angle 2 can be found by making the two equal side lengths and the middle line into one triangle. This means that two of the angles are 52 degrees. This leaves 76 degrees to be split in the triangle. The middle line cuts the angle in half, making it 38 degrees
Answer:
16 
Step-by-step explanation:
multiply 4 by 4
