Answer:
- 2n + 6
Step-by-step explanation:
note that + (-) = -
5n + 6 + (- 7n)
= 5n + 6 - 7n ← collect like terms
= 5n - 7n + 6
= - 2n + 6
Answer:
1.14x = 2x
x = (0.12)(1.14)x
Step-by-step explanation:
We are going to express the data in an equation form:
If <em>x </em>was the number of cases there was in 2000 ⇒<em>currently there are 1.14x </em>cases of measles.
But the question also tells us that the number of cases now is also 2 times what it was in 2000.
So we have that <u>1.14x = 2x</u>
<u />
It also tells us that the number of measles back in 2000 was 12% of what it is now.
<u>x = (.12) 1.14x</u>
<u />
We can't really solve these equations since the problem doesn't give us any more information (I am assuming there was another part of the problem before this one that wasn't written here).
Answer:
32pi units3
Step-by-step explanation:
100.53≈32pi
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>
