Answer:
117
Step-by-step explanation:
Sum of all angles of pentagon = 540
x + 86 + 140 + 138 + 59 = 540
x + 423 = 540
x = 540 - 423
x = 117
Answer:
Step-by-step explanation:
p = 0.05 ( or 5%)
n = 12
Part b)
Expected value = n X p
expected value = 12 X 0.05
Expected value = 0.60
Part c)
Batch will be accepted if the number of defectives is less than 2
P(accepted) = P( x = 0) + P (x = 1)
where x = number of defectives
From binomial formula;
P(X=x) = nCx X p^x X (1-p)^(n-x)
we got n = 12, p = 0.05
P(x=0) = 12C0 X 0.05^0 X (0.95)^12
P(x=0) = 0.54036
P(x=1) = 12C1 X (0.05)61 X (0.95)^11
P(x=1) = 0.34128
P(accepted) = 0.54036 + 0.34128
P(accepted) = 0.88164
Part d)
Standard deviation = √(0.05 X 0.95/12) = 0.062915
(20/100) × 25 = (1/5) × 25 = 5%
hope it helps...!!!
<span>The characteristic equation for this is r^2 + yr + 1 = 0. Its roots are r = y/2 +/- isqrt(1-y^2/4). Finding the general solution to this equation gives us y = sqrt(20/9), which is the value of the damping coefficient y for which the quasi period of the damped motion is 50% greater.</span>
Answer:
x = 4.5 or rounded 5
Step-by-step explanation:
Because they are equal you can make the equation:
x/2 = 18/8
this means that 8 divided by 2 equals (4)
what 18 divided by x is (4)
this means 4 times x = 18
4x = 18
/4 /4
x = 4.5 ft