Answer:
x = 4 and -10
Step-by-step explanation:
Given the equation
x²+6x-40= 0
The common factors to use for the factorisation are +10 and -4
x²+(10x-4x)-40=0
(x²+10x)-(4x-40) = 0
x(x+10)-4(x+10) = 0
(x-4)(x+10) = 0
x-4 =0 and x+10 = 0
x = 4 and x = -10
Answer: 0.0016
Step-by-step explanation:
Given the following :
Population mean(m) = 196
Population Standard deviation (sd) = 32
Number of sample (n) = 18
Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2
Obtaining the test statistic (z) :
Z = [(x - m) / (sd/√n)]
Z = [(218.2 - 196) / (32/√18)]
Z = [(22.2 / 7.5424723)]
Z = 2.943
Hence,
P(Z > 2.94) = 1 - P(Z < 2.94)
= 1 - 0.9984
= 0.0016
Answer: -6<x<2
Step-by-step explanation: