Answer:
(x + 6)(x + 13)
Step-by-step explanation:
Given
x² + 19x + 78
Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)
The factors are + 6 and + 13 , since
6 ×13 = + 78 and 6 + 13 = + 19 , then
x² + 19x + 78 = (x + 6)(x + 13) ← in factored form
Answer:
Step-by-step explanation:
Given that a particular detection system has a 0.83 probability of detecting a missile attack.
Also each system is independent of the other to detect missile attack.
a) the probability that a single detection system will detect an attack=
b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects
=
c) If three systems are installed, the probability that at least one of the systems will detect the attack
= 1- none of the three systems detect attack

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.
Hence for safety and defence purpose multiple detection system is recommended.
Answer:
300
Step-by-step explanation:
X^2=10×10=100
3×100=300
To work out the Circumference of a circle, we must o the calculation
πd
π x d
If we fill in the information we know
π x 10.4
3.14 x 10.4 (to 2 d.p.)
↓
32.656 (units)
<span>150+10c+150-10c=1.5(15-c)(15+c)300=1.5(225-c^2)300=337.5-1.5c^2200=225-c^2c^2=25c=5speed of current=5 mph<span>
</span></span>