Answer:
x = 14
Step-by-step explanation:
2(4x+1) + (5x-4) = 180
13x-2=180
x = 182/13 = 14
It is an isoceles triangle, so D = E
F = 66
D = E = 57
Answer:
¿Qué tipo de trabajo estás haciendo?
Step-by-step explanation:
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
P(-5) = (-5)³ - 6(-5)² - 7(-5) + 60
p(-5) = -125 - 6(25) - (-35) + 60
p(-5) = -125 - 150 + 35 + 60
p(-5) = -275 + 95
p (-5) = -180
so is x + 5 a factor of polynomial ( NO) because when make a substitution by -5 the answer will not be 0
