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
Answer:
BC = 10 units
Step-by-step explanation:
From the picture attached,
It's given that AD and BE are the parallel sides.
AC and DC are the transversal lines intersecting the parallel lines.
In ΔADC and ΔBEC,
∠DAC ≅ ∠EBC [Corresponding angles]
∠ADC ≅ ∠BEC [Corresponding angles]
ΔADC ~ ΔBEC [By AA property of similar triangles]
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
BC = 10
The rate i believe is 65 because M is the slope/rate and the equation is y=mx+b and 65 is in the place of M.
Answer: 4 apples for $3.64
Step-by-step explanation:
The best buy is going to be the one that costs the least. To figure this out, you divide the number of apples by the price. (do not round)
4/3.64=1.09
9/8.01=1.23
14/12.43=1.12
24/21.12=1.13
As you can see, the 4 apples for $3.64 is the better choice since the number is the least.
Answer:
0.29
Step-by-step explanation:
12 divide by $3.48 is 0.29