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>
Answer:
5x = 5(10) = 50 inches
Step-by-step explanation:
Let x = length of shorter piece then
5x = length of the longer piece
.
x + 5x = 60
6x = 60
x = 10 inches (shorter piece)
.
Longer piece:
5x = 5(10) = 50 inches
Factors are the numbers another number can be divided from. example-
8÷4=2, 4 is a factor of 8.
so the factors of 4 are 1,2and 4itself. like this-
4×1=4
1×4=4
2×2=4
answer- 1,2 and 4.