Answer:
The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:

The standard deviation of this sampling distribution of sample proportion is:

Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.
The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.
A random sample of <em>n</em> = 111 keypads is analyzed.
Then the sampling distribution of
is:

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:


Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Electrons do not have FEET
The answer is C.
Vendor A= 456/1700, which is .268 or 27%
Vendor B= 607/1700, which is .357 or 36%
Vendor C= 637/1700, which is .374 or 37%
For a total of 100%
Step-by-step explanation:

Given equaiton is in the form of ax^2 +bx+c=0
we apply quadratic formula to solve for x

a= 1 b = -12 and c= 59



Divide the 12 and square root terms by 2

so
and 
Answer with explanation:
Theorem : The diagonal of a parallelogram divides it into two congruent triangles.
Properties of parallelogram
1. Opposite sides are equal and parallel.
2. Diagonal bisect each other.
3. Opposite Angles are equal.
If you will look at the first three options
A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)
B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)
C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)
D: Consecutive angles of a parallelogram are supplementary.→→→→True
For,any parallelogram, having vertices , A, B and C and D
Opposite sides are parallel, so
1.∠A + ∠B=180°
2.∠C + ∠B=180°
3.∠C+ ∠D=180°
4. ∠A + ∠D=180°
Option D