We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
Thw answer is X = 3 or -3
Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
Answer:
x = 5.56
Step-by-step explanation:
Sin(17) = 
=> Isolate the "x"
Sin(17) * 19 = x
5.56 = x
Hope this helps!
Answer:
Ed used 39/60 of one hour to complete his tasks.
Step-by-step explanation:
Find the least common denominator (LCD), which would be 20
Then, find how to get from 5 to 20 and 4 to 20.
Use division.
20/5 = 4, 20/4 = 5
After this, multiply the numerator to the according number.
2*4 = 8 = 8/20
1*5 = 5 = 5/20
Make the denominator 60 to represent 60 minutes in one hour
5/20*3/3 = 15/60
8/20*3/3 = 24/60
Add the two results.
15/60 + 24/60 = 39/60
