Answer:
-15
Step-by-step explanation:
-24 + (1-4)^2 (solve parentheses first)
= -24 + (-3)^2 (solve exponent)
= -24 + 9
= -15
7-4=3
10-7=3
13-10=3
we can see that this is an arithmetic sequence with a difference of 3
the nth term=the first term +(n-1) times the difference
so a(n)=4+3(n-1)
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
Answer:3
Step-by-step explanation:
<span><span><span>87</span>x−<span>34</span>y=<span>72</span></span><span><span>87</span>x-<span>34</span>y=<span>72</span></span></span>To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
<span><span>Ax+By=C</span><span>Ax+By=C</span></span>Simplify each term.
Tap for more steps...<span><span><span>8x</span>7</span>−<span><span>3y</span>4</span>=<span><span>72</span></span></span>
